Using the t-distribution, it is found that the null hypothesis is rejected for a, b, c
Item a:
We have a right-tailed test, as it is being tested if the mean is more than a value.
The p-value is found using a t-distribution calculator, with 11 - 1 = 10 df and t = 1.91, hence it is of 0.0426.
The p-value is of 0.0426, which is less than 0.05, thus the null hypothesis is rejected.
Item b:
We have a left-tailed test, as it is being tested if the mean is less than a value.
The p-value is found using a t-distribution calculator, with 17 - 1 = 16 df and t = -3.45, hence it is of 0.0016.
The p-value is of 0.0016, which is less than 0.05, thus the null hypothesis is rejected.
Item c:
We have a two-tailed test, as it is being tested if the mean is different than a value.
The p-value is found using a t-distribution calculator, with 7 - 1 = 6 df and t = 0.83, hence it is of 0.4383.
The p-value is of 0.4383, which is more than 0.05, thus the null hypothesis is not rejected.
Item d:
We have a right-tailed test, as it is being tested if the mean is more than a value.
The p-value is found using a t-distribution calculator, with 28 - 1 = 27 df and t = 1.91, hence it is of 0.0195.
The p-value is of 0.0195, which is less than 0.05, thus the null hypothesis is rejected.
Therefore, in an independent random sample is selected from an approximately normal population with an unknown standard deviation. Using the t-distribution, it is found that the null hypothesis is rejected for a, b, c
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multiply the polynomial (x 2y)(x2 - 2xy 4y2). write your answer in descending order. please use the palette below to enter your answer.
The descending order of the polynomial is (x³ + 8y³)
The term polynomial in algebra is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division
Here we have given that (x+2y)(x²−2xy+4y²)
And we have to multiply the polynomial and write your answer in descending order.
Here we have the polynomial (x+2y)(x²−2xy+4y²).
Now, we have to use the identity
=> a³ + b³ = ( a² − ab + b² ) ( a + b ) ,
Now, we have to apply these identity one the given polynomial, then we get,
=> ( x + 2y ) ( x² − 2xy + 4y² )
=> (x³ + ( 2 y )³) = (x³ + 8 y³) .
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we can make statistical inferences aobout populations even if we do not know the true population distribution bcause
Distribution will be possible even if we do not know the true population distribution.
What is a frequency distribution?
The gathered data is arranged in tables based on frequency distribution. The information could consist of test results, local weather information, volleyball match results, student grades, etc. Data must be presented meaningfully for understanding after data gathering. A frequency distribution graph is a different approach to displaying data that has been represented graphically.
Here, the A5 sample size is infinite then the sample distribution becomes normal. So as per the C.L.T n→∞ so distribution is normal.
Hence, Distribution will be possible even if we do not know the true population distribution.
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Statement
1. 3x + 10 = 8x - 15
2. 10 = 5x - 15
3. 25 = 5x
4. 5 = x
5. x = 5
What are the reason for these
Answer:
1. Given
2. Subtraction P.O.E
3. Addition P.O.E
4. Division P.O.E
5. Symmetric P.O.E
Step-by-step explanation:
P.O.E stands for Property of Equality
Macaroni penguins weigh 5 1/2 kg when they are adults when they are born they weigh 150 g. In grams how much weight do they gain from check to adult?
Using the conversion factor we know that the penguin gained 5,350 grams of weight from a chick to an adult.
What is the conversion factor?A conversion factor is a quantity or formula required to change a measurement from one system of units to another system of the same measurement.
The amount is often expressed as a fraction or ratio with a multiplication factor.
A conversion ratio (or unit factor), if the numerator and denominator have the same value represented in various units, always equals one (1).
So, we know that:
1 kg = 100 g
Weight of the adult penguin: 5 1/2 kg that is,
5 1/2 = 10+1/2 = 11/2 = 5.5
5.5kg = 5500 g
Weight of the newborn penguin: 150 g
Weight gain from chick to adult:
5500 - 150
5,350 g
Therefore, using the conversion factor we know that the penguin gained 5,350 grams of weight from a chick to an adult.
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Which equation is perpendicular to the line represented by y = 6x +10 and passes through the ordered pair (5, -8)?
1.y+8= -1/6(x - 5)
2.y-5= (1/6x+8)
3.y-(-8)= -6(x - 5)
4.y+8 6(x - 5)
Answer:
option 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x + 10 ← is in slope- intercept form
with slope m = 6
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{6}[/tex]
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = - [tex]\frac{1}{6}[/tex] and (a, b ) = (5, - 8 ) , then
y - (- 8) = - [tex]\frac{1}{6}[/tex] (x - 5 ) , that is
y + 8 = - [tex]\frac{1}{6}[/tex] (x - 5) ← equation of perpendicular line
how to find the range of a function
To find the range of a function: consider a function y = f(x). The spread of all the y values from minimum to maximum is the range of the function. In the given expression of y, replace all the values of x to investigate whether it is positive, negative or equal to other values.
What is the range of a function?The range of a function is the complete set of all possible resulting or output values of the dependent variable (usually labeled by y), after we have replaced the domain. Typically, this will be represented by the letter y or f(x). The range is any number that you can get when you plug in any number for x.
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(a) Write 130% as a decimal.
(a) 130% =
Answer: 1.3
Step-by-step explanation:
We know that in order to convert from percentages to decimals, we divide by 100. Therefore, 130 percent is the same as 1.3.
Answer: 1.3
Step-by-step explanation:
100% is equal to 1. Now we just have to find the value of 30%. Divide 1 by 10 and multiply by 3 to get 0.3. Since 0.3 is 30% and 1 is 100%, 130% = 1 + 0.3 = 1.3.
An easier way of converting is dividing the percentage by 100.
8188.8
A new washing machine used 3½ gallons of water per full load to clean clothes. If Sam
washed 3% loads of clothes, how many gallons of water would be used?
what's 1+1 wrong answers only if you guess 2 or 11 your done
Answer: 2
Step-by-step explanation:
Given: HF || JK; HG ≅ JG
Prove: FHG ≅ KJG
To prove that the triangles are congruent by ASA, which statement and reason could be used as part of the proof?
To prove that the triangles are congruent by ASA, the statement and reason could be used as part of the proof is option (A) ∠FGH ≅ ∠KGJ because vertical angles are congruent.
Here we have two triangle FHG and KJG,
The sides HF and the side JK are parallel
The length of the side of the HG and the length of the side JG are equal
HG ≅ JG
According to the ASA property of congruent, if the two angle and one side of the triangle are equal to the two angle and one side of the other triangle, then the both triangles are congruent
Here we have to prove that angle FHG and angle KJG are vertical angles
Here the vertical angles are congruent
Therefore, the statement that can be the part of proof is option (a) angle FGH ≅ angle KGJ because vertical angles are congruent.
I have solved the question in general, as the given question is incomplete
The complete question is:
Given: HF || JK; HG ≅ JG
Prove: FHG ≅ KJG
To prove that the triangles are congruent by ASA, which statement and reason could be used as part of the proof?
a) FGH ≅ KGJ because vertical angles are congruent.
b) JKG ≅ HFG because vertical angles are congruent.
c) FHG ≅ JKG because right angles are congruent.
d) HFG ≅ KJG because alternate interior angles are congruent.
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g the complete bipartite graphs kn,n and kn,n 1 have the maximum possible number of edges among al
The complete type of bipartite graphs ,[tex]K_{n.n}[/tex] and [tex]K_{n.n+1}[/tex] will have the maximum possible of all number incliding edges among all the present triangle-free nodes i.e., graphs with all same number of vertices.
Approach: The wide variety of edges can be most whilst each vertex of a given set has an aspect to each different vertex of the opposite set i.e. edges = m * n in which m and n are the wide variety of edges in each the sets. that allows you to maximize the wide variety of edges, m need to be same to or as near n as possible.
The two main sets are X = {A, C}, Y = {B, D}.
The vertices for the given set X join, with the vertices Y and vice-versa.
Similar proposition will always holds for bipartite planar type of graphs: any n-vertex bipartite graph (n ≥ 3) includes at most 2n − four edges, moreover, each n-vertex bipartite planar graph may be prolonged to an n-vertex bipartite planar graph with 2n − four edges.
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Correct Question:
Among what g will have a complete bipartite graphs [tex]K_{n.n}[/tex] and [tex]K_{n.n+1}[/tex] have the maximum possible number of edges among it.
Kim wants to determine a 99 percent confidence interval for the true proportion pp of high school students in the area who attend their home basketball games. Out of nn randomly selected students she finds that that exactly half attend their home basketball games. About how large would nn have to be to get a margin of error less than 0.01 for pp?
[Use the values for z* from a z-table or t-table, and round to the smallest integer that works.]
n≈
Refer to the following scenario.
An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 339 people living in East Vancouver and finds that 39 have recently had the flu.
Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.04. How large a sample should she take to achieve this? Please carry answers to at least six decimal places in intermediate steps.
Sample size =
As per the margin of error, the value of n is 1068
Margin of error
In statistics, margin of error refers the statistic expressing the amount of random sampling error in the results of a survey.
Given
Kim wants to determine a 99 percent confidence interval for the true proportion pp of high school students in the area who attend their home basketball games. Out of n randomly selected students she finds that that exactly half attend their home basketball games.
Here we need to find how large would n have to be to get a margin of error less than 0.01 for p.
Let us assume the worst case of the point estimate of 99% and n refers size of sample
Here the margin of error is calculated as,
=> Margin of error = z1 - α * standard error of worst case point estimate
=> z x 99% x √(0.5(1-0.5)/n)
=> 1.96 * 0.5/√n
Now, we have to equate to given margin of error of 0.03, then
=> 0.03 = 1.96*0.5/√n
Then we have to solve for n
=> n = (1.96*0.5/0.03)²
=> n = 32.67²
=> n = 1067.11
When we round off it, then we get,
=> n = 1068
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composites are materials that are made by embedding a fiber, such as glass or carbon, inside a matrix, such as a metal or a ceramic. composites are used in engineering structures, and their degradation when subjected to whether conditions is an important issue. in an experiment to investigate the effect of the moisture on a certain kind of composite, the weight gains of a collection of n =21 samples of composite subjected to water diffusion were obtained. The sample mean is x=0.42% with a sample std. of S=0.04% Can we 95% confident from the results of this experiment that the average weight gain for composites of this kind is smaller than 0.43% ?
***Provide step-by-step instructions how to solve without skipping steps***
As per the confidence interval, the average weight gain for composites of this kind is smaller than 0.43% is 0.0006
Confidence interval
In statistics, the probability that a population parameter will fall between two set values is known as Confidence interval.
Given,
Here the weight gains of a collection of n =21 samples of composite subjected to water diffusion were obtained. The sample mean is x=0.42% with a sample std. of S=0.04%
Here we need to find the 95% confident from the results of this experiment that the average weight gain for composites of this kind is smaller than 0.43% .
As per the given question, we have the following details,
=> x=0.337%,
=> s=0.025%,
=> n=18.
And then we use next test hypotheses
=> H0:μ≥0.36 versus HA:μ<0.36.
And then first we will calculate t-statistic and then p-value to decide which hypotheses we will accept.
=> [(0.337−0.36)/ 0.025] x √18
=> -3.903,
=> p = TDIST(∣t∣, n − 1 , 1)
=> p = TDIST(∣−3.903∣,17,1)=0.0006
Therefore, p-value is smaller than 0.01, we reject H0 and accept HA.
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consider an economy with 200 workers. assume the marginal product of labor (mpl) is 10 and the value of the marginal product of labor (vmpl) is $90. what is the market price (p)?
The market price in this economy equals to $9.
What is market price?Basically, a market price is the amount of money for what an asset can be sold in a market. In other word, it is the cost of the products determined with respect to the point where the demand meets supply.
The value of marginal product of labor (VMPL) is equal to the marginal product of labor (MPL) multiplied by the market price (P).
In this case, to find market price, we will divide the the value of the marginal product of labor by the marginal product of labor:
= 90/10
= $9
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For the following, find the arc length:
(Use \large \pi=3.14 and round your final answer to the hundredths.)
x=
In the given diagram, the arc length of the given arc is 10.46.
Calculating the length of an arcFrom the question, we are to determine the length of the arc.
From the formula for calculating the length of an arc, we have that
Length of an arc = θ/360° × 2πr
Where θ is the angle subtended by arc at the center of the circle
and r is the radius of the circle
In the given diagram,
Angle subtended = π/3 = 60°
Radius, r = 10
Thus,
The length of the arc = 60/360 × 2πr
Length of the arc = 1/6 × 2×3.14×10
Length of the arc = 10.46
Hence, the length is 10.46
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WR Answer: 10.46
Step-by-step explanation:
he length of the arc = 60/360 × 2πr
Length of the arc = 1/6 × 2×3.14×10
Length of the arc = 10.46
Hence, the length is 10.46
solve for x using the quadratic formula x2-12x+52=0
There are No Real Roots possible for the Quadratic Equation
What is Quadratic Equation?
Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. where x is an unknown variable and the numerical coefficients a, b, and c.
Solution:
x² - 12x + 52 = 0
Formula to Solve the equation is -b +- (D) / 2a
D is the discriminant
D = √b² - 4ac
D = √12*12 - 4*52
D = √144 - 208
D = √-64
Since the value of Discriminant is negative
Therefore there are no real roots possible for the equation
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Find the value of x
3/4x(its a fraction) + 5 = 5 -2 (x + 7)
Answer:
Step-by-step explanation:
3/4x + 5 = 5 -2( x + 7 )
First, use Distributive Property.
-2 ( x + 7 ) --> -2x - 14
3/4x + 5 = 5 -2x - 14
Next, you can get rid of the fraction by multiplying EVERYTHING by 4...
3x + 20 = 20 - 8x - 56
Then, move x by subtracting 3x on BOTH sides...
20 = 20 - 11x - 56
Combine like terms...
20 = - 11x - 36
Add 36 on BOTH sides...
56 = - 11x
Divide -11 on BOTH sides...
56/11 = 5.09 repeating
x = 5.0909090909090909...
Correct me if I'm wrong, but there you go!
4. Carla has already written 10 pages of a novel. She plans to write 15 additional pages per month until she is finished. a. Write an equation to find the total number of pages P written after any number of months m. b. Graph the equation on the grid b 10 + 15 X = P. c. Find the total number of pages written after 5 months. b. Pages Written a. P 100 80 60 40 20 Carla's Novel 0 1 2 3 4 5 Months C. 6 m
a. The equation is, P = 15m + 10
b. The graph of P = 15m + 10 can be seen in the image attached below.
c. The total number of pages written in 5 months, is, 85.
How to Write a Linear Equation?A linear equation is a straight line graph, which can be expressed in slope-intercept form as y = kx + b, where;
k is the unit rate or slope of the graph.b is the initial value or y-intercept of the graph.a. To write the equation for the total number of pages P written after any number of months m, we have the following defined variables:
Unit rate or slope (k) = 15
Initial value or y-intercept (b) = 10
Number of pages, y = P
Number of months, m = x.
Substitute k = 15 and b = 10 into P = km + b:
P = 15m + 10
b. The graph of the P = 15m + 10 is shown below.
c. Substitute m = 5 into the equation, P = 15m + 10:
P = 15(5) + 10
P = 85
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What is the centroid theorem?
The centroid theorem is a geometric theorem that states that the centroid (center of mass) of a triangle is two-thirds of the way along the line segment connecting the vertices of the triangle and is located at the intersection of the triangle's three medians (lines connecting each vertex with the midpoint of the opposite side).
What is the centroid theorem?The centroid theorem is a powerful tool for analyzing the properties of a triangle, allowing for quick and easy calculations of the center of mass of a triangle. It can also be used to find the area of a triangle, calculate the moments of inertia, or determine the area of a triangle given three points. This theorem can be used to solve a variety of problems in geometry and engineering, making it a valuable tool for students and professionals alike.
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Which of the following is true when the discriminant of a quadratic equation is zero?
When an equation's discriminant is zero, the following is the given statement that is correct: There is just one viable solution.
Having the form ax2 + bx + c = 0, quadratic equations are second-degree algebraic expressions. The name "Quadratic" is derived from the word "Quad" which means square. A quadratic equation is an "equation of degree 2," to put it another way. A quadratic equation is employed in numerous situations.
There are a maximum of two solutions for x in the second-degree quadratic equations. These two solutions for x are denoted as (α, β) and are also known as the roots of quadratic equations.
Three instances of discrimination exist.The equation has two real solutions if the discriminant is strictly bigger than zero.There is just one real solution if the discriminant equals zero.Additionally, if the discriminant is strictly less than zero, there are no real solutions to the equation, meaning that both of its solutions are complex.Learn more about quadratic equations here:
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Mr and Mrs Jones received their heating bill the details follows
Present meter reading: 2410
Previous meter reading: 2090
Charge per unit: 12p per unit
Service charge: 20p per day for 14 days.
VAT: 5%
Find the total increase of the heating bill.
Answer:
Previous meter reading: 2090
Charge per unit: 12p per unit
Step-by-step explanation:
Answer:
£43.26
Step-by-step explanation:
Given readings:
Present meter reading: 2410Previous meter reading: 2090Calculate the number of units used:
[tex]\begin{aligned} \textsf{Number of units used} &= \textsf{Present meter reading} - \textsf{Previous meter reading}\\&= \sf 2410 - 2090\\&= \sf 320\; units \end{aligned}[/tex]
Given charges:
Charge per unit: 12p per unit.Service charge: 20p per day for 14 days.Calculate the cost excluding VAT:
[tex]\begin{aligned}\textsf{Cost (exc. VAT)}&=\textsf{(\# of units $\times$ charge per unit)}+\textsf{(\# of days $\times$ service charge per day)}\\ & = \sf 320 \times \£0.12 + 14 \times \£0.20\\&= \sf \£38.4+\£2.8\\&= \sf \£41.20\end{aligned}[/tex]
To find the total cost including VAT at 5%, multiply the cost (exc. VAT) by 1.05:
[tex]\begin{aligned}\textsf{Cost (inc. VAT at 5\%)}&= \sf \£41.20 \times 1.05\\&= \sf \£43.26\end{aligned}[/tex]
using monitoring the gfture 2017 data, we examline whther a relationshiop exists bewteeen the race/thnicity of a studetn and how the studetn rates the impoiratnace being a community
Community colleges in the United States play an important role in higher education. In United States, everyone monitors they community colleges are primarily her two-year institutions of higher education that focus on teaching and learning and workforce preparation.
Community colleges are open access institutions that offer economically affordable entry into higher education. About half of first-time college-going students enroll in community colleges, which serve as her transition route to four-year colleges (Beach, 2011). However, despite the important role and primary focus of community colleges, students may view community college instruction as inferior and undesirable to her four-year college (Dougherty, Lahr, & Morest, 2017; Twombly, 2001; Twombly & Townsend, 2008). This general dissatisfied view of community college instruction has much to do with the historical legacy of community colleges, where most two-year schools are either officially called "junior colleges" or "junior colleges." is called Community colleges have reason to brag about progress. It tends to have a higher proportion of female and minority teachers compared to traditional her four-year colleges (Antonio, 2002; Marcotte, Bailey, Borkowski, & Kientz, 2005; Turner, 2001). While the high recruitment rate of minority teachers is laudable, most higher education institutions are still predominantly white and male dominated (with the exception of those serving minorities). Overall, despite the high proportion of women and minority teachers, empirical studies show that such teachers experience high levels of stress and frustration with the way students are treated in the classroom. (Allen et al., 2002; Pittman, 2010). For many teachers and teachers of color, the classroom environment serves as a reminder of the unfortunate social ills that plague our society (Harlow, 2003; Seo & Hinton, 2009).
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Would someone be so kind as to lend a helping hand to me in solving this question?
Answer:
a) Provider B would be cheaper
b) [tex]10m^3[/tex]
Step-by-step explanation:
a) Input 6 into both equations and solve. For Provider A, it would go like this: [tex]y = 6 + 15[/tex]. For Provider B, it would be this: [tex]y = 2(6) + 5[/tex]. The first provider adds up to £21 Pounds ($25.56 USD). The second provider adds up to £17 Pounds ($20.69 USD).
b) All you really need to do is just plug in numbers until both equations contain the same answer. The way I did it was: [tex]x + 15 = 2x + 5[/tex]. If your teacher asks how you got the answer, follow these steps:
[tex]x+15=2x+5\\x-5=2x-5\\x+10=2x[/tex]
Find the area of this circle. Use 3.14 for π.
a model airplane takes off at a constant rate of 7 feet per second.
At the same time, a ball is launched from ground level with an initial velocity of 30 feet per second. The height of the ball, in feet, after t seconds is given by h=-16t^2+30x Will the airplane and ball collide
If a model airplane takes off at a constant rate of 7 feet per second and the initial velocity of 30 feet per second. The time it takes for the plane collision to occur is 1.437 sec.
How to find the time in seconds?Given data :
T seconds = h=7t
h=-16t^2+30x
Let t represent the time
Hence,
7t=-16t²+30x
7t= -7t
0 =-16t² + 23t
0=-2t(8t +11.5)
0=-2t 0 =8t-11.5
0=t 11.5/8 =8t/t
t = 11.5/8
t = 1.437 sec
Therefore the time is 1.437 sec.
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The complete question is:
a model airplane takes off at a constant rate of 7 feet per second.
At the same time, a ball is launched from ground level with an initial velocity of 30 feet per second. The height of the ball, in feet, after t seconds is given by h=-16t^2+30x Will the airplane and ball collide. Find the time it takes for the plane collision to occur .
Suppose that the functions r and s are defined for all real numbers x as follows.
r(x)=x+5
s(x) = 4x+2
Write the expressions for (r*s) (x) and (r-s) (x) and evaluate (r+s)(1).
The values of the expression (1) (r*s)(x) is 4x²+22x+10 (2) (r-s)(x) is -3x +3 (3) (r+s)(1) is 5x +7
How to determine the values of the expressions?The given parameters that will help us to calculate the values are
r(x) = x+5
s(x) = 4x +2
(1) r*s(x) will be
(x+5)(4x+2)
Opening the brackets we have
4x²+2x+20x+10
= 4x²+22x+10
(2) (r-5)(x)
Putting the values of r and s
(x+5)- (4x+2)
Open the brackets to have
x+5-4x-2
Collecting like terms to get
-3x+3
(3) (r+s)(x)
By substitution we have
x+5+4x+2
⇒5x +7
In conclusion the values of the expressions are (1) (r*s)(x) is 4x²+22x+10 (2) (r-s)(x) is -3x +3 (3) (r+s)(1) is 5x +7
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What is - 8/15 - 3 4/5 mixed number in simplest form?
Answer:
–3 4/15
or
3 4/15
Step-by-step explanation:
In parallelogram hijk the measure of angle H is 45 what is K
On solving the provided question, we got to know that ∠ H + ∠ K = 45°.
K therefore has a 135° measure.
What is a Parallelogram?A unique kind of quadrilateral created by parallel lines is a parallelogram. A parallelogram might have different angles between its neighboring sides, but it must have parallel opposite sides in order to be considered one. If a quadrilateral's opposite sides are parallel and congruent, it is a parallelogram. As a result, a parallelogram is a quadrilateral with both pairs of opposite sides being parallel and equal.
the K-value of the angle.
First of all, we should be aware that the sum of the adjacent angles in the parallelogram ABCD, which has the angles A, B, C, and D, is 180°.
[tex]angle A + angle B = 180\\ angle B + angle C = 180\\ angle C + angle D = 180\\ angle A + angle D = 180[/tex]
They're considered to be a linear pair.
As a result, the parallelogram HIJK, whose angle H = 45°, is what we have.
Therefore, ∠ H +∠K = 180° (linear pair),
∠ K = 180° - 45°
∠ K = 135°,
and
∠ H + ∠ K = 45°.
K therefore has a 135° measure.
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How to get
The midpoint of GH is M(-6,-3). One endpoint is H (-4,4). Find the coordinates of endpoint G
The coordinates of point G are (-8, -10)
What is the midpoint of a line?A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments
The midpoint of a line segment is the point on a segment that is at the same distance or halfway between the two ending points.
midpoint(M) = (-6, -3)
H = (-4, 4)
let the coordinates of G be (p,q)
taking the x coordinates for M, G and H
-6 = p -4/2
cross multiply
p -4 = -12
p = -12 + 4
p = -8
taking y-coordinates
-3 = q +4/2
q + 4 = -6
q = -6 -4
q = -10
coordinates of G (-8, -10)
in conclusion the coordinates of G is ( -8, -10)
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PLEASE HELP! I'LL MARK YOU AS THE BRAINIEST AND I'LL GIVE YOU A LOT OF POINTS!
Answer:
B) -2x+y=8
Step-by-step explanation:
First I looked at the graph and found the y-intercept and slope.
Y-intercept = 8
I found that because the point was the on the y-axis line like (0,8)
To find the slope I identified the next point. From the Y-intercept (0,8), you have to go down 8 units. Then I saw the point go left 4 units which makes it negative.
Slope = -8/4, which is also -2
Slope Intercept Equation (y=mx+b) would be: y=-2x+8
Then I compared it to the options and that's what I got.
