A) The slope is 3/2
B) The line in point-slope form: y = (3/2)*(x - 2) + 10
C) The line in slope-intercept form: y = (3/2)*x + 7
What is the slope of the line?A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through two points (x1, y1) and (x2, y2), then the slope is:
a = (y2 - y1)/(x2 - x1)
Here the line goes through (2, 10) and (-2, 4), then the slope is:
a = (10 - 4)/(2 + 2) = 6/4 = 3/2
b) The line in point-slope form for a point (h, k) is:
y = a*(x - h) + k
So here we get:
y = (3/2)*(x - 2) + 10
c) Expanding the above equation we will get:
y = (3/2)*x - (3/2)*2 + 10
y = (3/2)*x + 7
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Can someone please help me.
Proved that ΔXYW ≅ ΔZYW
Consider the two triangles triangle XYW and triangle ZYW
According to SAS congruent rule if 2 sides and one angle of the one triangle is equal to the 2 sides and one angles of the another triangle, then both the triangles are congruent
The length of the side XY = The length of the side ZY
The line YW bisect the angle XYZ
Then the measure of angle XYW = The measure of angle ZYW
The length of the YW is common
Therefore the 2 sides and one angle of the triangle XYW is equal to the 2 sides and one angle of the triangle ZYW
Then the triangles XYW and triangle ZYW are congruent
Hence, proved that ΔXYW ≅ ΔZYW
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Examine the following graph (need asap)
The slope is 3. The line is going up 3 and right 1. If it were the other way around, up 1 and right 3, that would be a slope of 1/3.
But the slope is 3.
A student solved the equation and determined that the solution was -2. Find the error and correct it. 1.5x-2=-2+1.5x -2=-2
The student solved the equation and determined that the solution was -2. This is wrong as the solution is 0.
What is an equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
This will be illustrated as:
1.5x - 2 = -2
Collect like terms
1.5x = - 2 + 2
1.5x = 0
Divide
x = 0/1.5
x = 0.
Therefore, the student is wrong.
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Please help will mark Brainly
Answer:
B
Step-by-step explanation:
The distance between the lines stays constant, and they never intersect. In other words, you can translate (move) either line by that constant distance, in some direction, to get the other line. It's just like how when you change the y-intercept but keep the slope the same, you get parallel lines.
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Suppose your friend says he can solve the equation 15-(2x+6)=1/2(7x-4) by first using the multiplication property of equality to multiply each side of the equation by 2. Is he correct?
please help i will mark you as brainliest
Work out
198.02% of £83.02
83.02
Give your answer rounded to 2 DP
The value of 198.02 percent of £83.02 is £164.40
How to calculate the value?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
The value will be illustrated thus:
198.02% × £83.02
= 1.9802 × £83.02
= £164.3962
= £164.40
The value is £164.40.
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How many metric tons are in 230.2 g
The conversion of 230.2 g to metric ton is given by 0.0002302 metric tons.
How to convert grams to metric tons?Grams (g) and metric ton (MT) are the SI units of mass. Scientist measure various things with different units. The following are measures and their units;
Temperature: Fahrenheit, Celsius, KelvinLength: Meters, centimeters, millimeters etcWeight: Kilograms, milligrams, gramsTime: seconds, minutes, hours.Convert metric ton to grams:
1 metric ton = 1,000,000 grams
230.2 g = 230.2 ÷ 1,000,000
= 0.0002302 metric tons
Therefore, it can be said that 230.2 g is equivalent to 0.0002302 metric tons
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72km = 90 mins. how many km = 40 mins?
Answer: 32 km
Step-by-step explanation:
Set the unknown value as x and use proportions to find the answer:
[tex]\frac{72}{90} =\frac{x}{40} \\\\90x=72*40\\\\x=\frac{72*40}{90} =32[/tex]
Quinn makes pies at her bakery. She can make 6 pies with 4 cups of sugar. How
much sugar will she need to make 18 pies?
Answer:
She can make 12 cups of sugar for 18 pies
Step-by-step explanation:because 6x3=18 so you multiply 4x3 to get 12, she need 12 cups of sugar for 18 pies or 18 pies with 6 cups of sugar
Tell me if it is wrong in the comment
Thank you.
Last week Len spent $18 to bowl 4 games. This week he spent $27 to bowl 6 games Len owns his bowling ball and shoes, so he only has to pay for each game that he bowls. If each of these bowling games costs the same amount of money, what is the constant of proportionality between the money spent and the number of games played?
The constant of proportionality in both situations is 4.5
Constant of ProportionalityThe constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship. Other names for the constant of proportionality include the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
The equation of constant of proportionality is given as
y = kx
k = constant of proportionalityLet's take the variable and substitute them
18 = k(4)
k = 18 / 4
k = 4.5
The constant is 4.5
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Which equation represents the transformation formed by vertically stretching the graph of f(x)=√x by a factor of 6 and then vertically shifting the graph 7 units up?
g(x)=6√x +7
g(x) = √6x +7
g(z) = √1/6x +7
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You need a 35% alcohol solution. On hand, you have a 300 mL of a 20% alcohol mixture. You also
have 65% alcohol mixture. How much of the 65% mixture will you need to add to obtain the desired
solution?
You will need____
mL of the 65% solution
As per the concept of unitary method, there are 180.8 ml of the 65% mixture will you need to add to obtain the desired solution
Unitary method:
Basically, the way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.
Given,
You need a 35% alcohol solution. On hand, you have a 300 mL of a 20% alcohol mixture. You also have 65% alcohol mixture.
Here we need to find how much of the 65% mixture will you need to add to obtain the desired solution.
Let us consider x be the amount of the 65% alcohol needed (in milliliters.
Here the amount of the resulting 65% alcohol solution will be is (x+15) milliliters.
So, the amount of the "pure" alcohol in 300 mL of the 20% alcohol solution is written as,
=> 0.20 x 300 mL.
And the amount of the "pure" alcohol in x mL of the 65% alcohol solution is written as,
=> 0.65 * x mL.
Therefore, the total amount of the "pure" alcohol in ingredients is the sum and it can be calculated as,
=> 0.20*300 + 0.65*x mL.
So, it should be equal to the amount of the "pure" alcohol in the mixture, which is written as,
=> 0.35 * (x+15) ml.
Therefore, your "pure alcohol" equation is
=> 0.65* x + 0.20 * 300 = 0.35*(x+15).
When we simplify this one then we get the value of x as,
=> 0.65* x + 0.20 * 300 = 0.35*(x+15).
=> 0.65x + 60 = 0.35x + 5.25
=> 0.3x + 54.25
=> x = 180.8
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Brenda deposited $2,059 in an account earning 1% interest compounded annually.
To the nearest cent, how much will she have in 1 year?
Solve the formula for the variable h.
f=9gh
Answer:
[tex]h=\frac{f}{9g}[/tex]
Step-by-step explanation:
Divide both sides by [tex]9g[/tex].
Write the domain and range for the following functions using interval notation, inequality notation, and set builder notation
Domains
Interval Notation:
Inequality Notation:
Set Builder Notation:
Range:
Interval Notation:
Inequality Notation:
Set Builder Notation:
Domain:
Interval Notation:
Inequality Notation:
Set Builder Notation:
Range:
Interval Notation:
Inequality Notation:
Set Builder Notation:
The domain and the range for each function, considering the three notations, are given as follows:
1.
Domain:
Interval Notation: (-∞, ∞).Inequality Notation: All real numbers.Set Builder Notation: {x | x ∈ R}.Range:
Interval Notation: [-4, ∞).Inequality Notation: y >= -4.Set Builder Notation: {y | y >= -4}2.
Domain:
Interval Notation: (-∞, ∞).Inequality Notation: All real numbers.Set Builder Notation: {x | x ∈ R}.Range:
Interval Notation: [-4, ∞).Inequality Notation: y >= -4.Set Builder Notation: {y | y >= -4}How to obtain the domain and the range of a function?The domain of a function is the set containing all the input values of a function, hence on the graph it is given by the values of x for which the function is defined.
The range of a function is the set containing all the output values of a function, hence on the graph it is given by the values of y which the function assumes.
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Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
A.
g(0) = 2
B.
g(-4) = -11
C.
g(7) = -1
D.
g(-13) = 20
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, the statement that could be true for g is: D. g(-13) = 20.
What is a range?In Mathematics, a range can be defined as the set of all real numbers that connects with the elements of a domain.
From the information provided, the domain and range of this function g(x) in interval notation is given by:
Domain = [-20, 5]Range = [-5, 45]How to determine the true statement?Function g(0) = 2 is false because it was stated that g(0) = -2. Also, g(-4) = -11 is outside the scope of the given range for this function.
Furthermore, function g(7) = -1 is not within the domain for the given function. However, g(-13) = 20 is within the domain for the given function and produces an output that is within the scope of the given range for this function.
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5)
What is the mean of 14, 7, 10 and 5?
[tex]\stackrel{\textit{\LARGE arithmetic mean}}{\cfrac{14+7+10+5}{\underset{\textit{number of data elements}}{4}}\implies \cfrac{36}{4}\implies \text{\LARGE 9}}[/tex]
Answer:
the mean is 9 .
Step-by-step explanation:
i did this & got it correct .
Ben made trail mix for his camping trip that contained 8 ounces of peanuts, 6 ounces of raisins, and 10 ounces of chocolate candies. He wants to make a larger batch for his next camping trip with 28 ounces of peanuts. How many ounces of raisins will he need?
The amount of raisins that Ben will mix if he wants to make a larger batch is 21 ounces of raisins
How to determine the raisins for larger batchThe amount is determined by comparing the trial mix used
Initially, 8 ounces of peanuts, 6 ounces of raisins, and 10 ounces of chocolate candies. This has a ratio of
peanut : raisins : chocolate
8 : 6 : 10
If 8 ounces of peanuts was used with 6 ounces of raisins, 28 ounces of peanuts wall be mixed with ? raisins
8 peanuts = 6 raisins
28 peanuts = ? raisins
? = 28 * 6 / 8
? = 21 ounces of raisins
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can someone help me with, expand 4(3x-5)?
Answer:
Step-by-step explanation:
12x-20
Answer:
Answer: 4 ∙ 3x - 4 ∙ 5
Step-by-step explanation:
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The probability that Jordan will win in three or fewer matches if they play 5 matches using binomial probability distribution is; 0.95636
How to solve Binomial probability distribution problems?The binomial probability is defined as the probability of exactly x successes on n repeated trials, with p probability.
The general formula for binomial probability distribution is;
P(X = x) = nCx * p^(x) * (1 - p)^(n - x)
where;
Px = the probability of exactly x events occurring
x = the number of expected successful outcomes
n = the number of trials you perform
nCx = the number of different combinations for x items you test in n trials
We are given probability that Jordan wins the match as 1/3. Thus;
p = 1/3 = 0.333
Thus, probability that Jordan will win in three or fewer matches if they play 5 matches is;
P(X ≤ 3) = P(0) + P(1) + P(2) + P(3)
From online binomial probability calculator, we have;
P(X ≤ 3) = 0.95636
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Karen needs to buy plastic forks. Brand A has a box of 42 forks for $2.17. Brand B has a box of 48 forks for $3.97.
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
The unit price for brand A is $0.0517 and the unit price for brand B is $0.0828. Based on the unit price Brand A is better to buy.
Given that, Brand A has a box of 42 forks for $2.17. Brand B has a box of 48 forks for $3.97.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Here,
The cost of each fork of brand A
= 2.17/42
= $0.0517
The cost of each fork of brand B
= 3.97/48
= $0.0828
Therefore, the unit price for brand A is $0.0517 and the unit price for brand B is $0.0828. Based on the unit price Brand A is better to buy.
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What is the approximate area of a circle with radius 6 cm?
Answer:
133 m^2
Step-by-step explanation:
to find are of a circle it’s r^2 times pi
6^2 x pi
36 pi
113 m^2
Hopes this helps please mark brainliest
Answer:
Answer C is correct
Step-by-step explanation:
The formula to find the area of a circle is:
A = πr²
Here,
r => radius = 6m
Let us find the area of the circle.
A = πr²
A = 3.14 × 6 × 6
A = 113.04 m²
Approx. = 113m²
Can someone solve these math problems for me? (No explanation needed)
2/3 x (-4/5)
(-5/7) x (7/5)
(-2/39) x 39
(2/5) x (-3/4)
Answer:
do the brackets first the solve the division then multiply both
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Based on the giving information, what is the measure of the missing length, w?
The measure of the missing length of the triangle is 16 units.
According to the question,
We have the following information:
We have a figure of right-angled triangle where two sides are given.
In order to find the third side of this triangle, we will use the Pythagoras theorem.
So, we have the following expression:
[tex]AC^{2} = AB^{2} + BC^{2}[/tex]
[tex](20)^{2} = AB^{2} + (12)^{2}[/tex]
400 = [tex]AB^{2}[/tex] + 144
Subtracting 144 from both sides of the equation:
[tex]AB^{2}[/tex] = 400-144
[tex]AB^{2}[/tex] = 256
We know that the square root of 256 is 16 or in other words, the square of 16 is 256.
AB = 16 units
Hence, the measure of the missing length of the triangle is 16 units.
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TYPING Nebi has already typed 250 words. He then starts a timer and finds that he types 150 words in 3 minutes. If Nebi types at a constant rate, write a linear equation to represent the number of words w Nebi types m minutes after starting the timer.
The linear equation that represents the number of words Nebi types per minutes after the timer is started is: w = 50m + 250.
How to Write a Linear Equation?Linear equation can be written in the slope-intercept form as y = kx + b. To write this, find the values of the slope = m, and the y-intercept of starting value = b.
From the equation given, find the unit rate/slope, which is the number of words typed in one minute.
Thus, we have:
Slope/unit rate (m) = 150/3
m = 50 words per minute.
The y-intercept (b) is 250, because it is the initial/starting value.
Let w represent the total number of words, and m represents the minutes after the starting time.
To write the linear equation, substitute k = 50 and b = 250 into w = km + b:
w = 50m + 250
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Fill in the blanks to complete the equation that describes the diagram
Answer:
-9
Step-by-step explanation:
From the scores on the diagram we can tell that the arrow first stand on the point -3 and then on the point -6.
If we add -6 to -3 the product will be:
(-3) + (-6) = -9
The answer in blocks will be (-3) and (-6)
If we add -6 to -3 the product will be:
(-3) + (-6) = -9
Given,
In the question:
Fill in the blanks to complete the equation that describes the diagram.
Now, According to the question:
From the scores on the diagram we can tell that the arrow first stand on the point -3 and then on the point -6.
If we add -6 to -3 the product will be:
(-3) + (-6) = -9
What is Number line ?
A number line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, plotting a point.
Hence, The answer in blocks will be (-3) and (-6)
If we add -6 to -3 the product will be:
(-3) + (-6) = -9.
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The number of sales of cars sold from January to November are 28, 20, 49, 29, 38, 40, 45, 49, 50, 55 and 60. Find the median and modal sales.
The Median and the modal sales is 45 and 49 respectively.
What is a median?A median simply means the middle number when the number are arranged in ascending order. The mode is the number that appears most.
Since the number of sales of cars sold from January to November are 28, 20, 49, 29, 38, 40, 45, 49, 50, 55 and 60, this will be arranged as:
20, 28, 29, 38, 40, 45, 49, 49, 50, 55, 60
Therefore, the middle number is 45 and mode is 49.
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How is a fraction related to its simplified form?
A) The simplified fraction is the square root of the original fraction.
B) The original fraction is larger in value than the simplified one.
C) The simplified fraction is half the value of the original fraction.
D) The simplified fraction and the original fraction have the same value
The simplified fraction and the original fraction have the same value. Option D is correct.
Given that,
To justify, how is a fraction related to its simplified form.
Fraction is defined as the number of compositions that constitute the Whole.
Here,
The value of the fraction does not change when it is brought into a simplified form.
Thus, the simplified fraction and the original fraction have the same value. Option D is correct.
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The Bay purchases an armchair with MSRP $780 less a trade discount of 30%. The Bay sells the armchair at the MSRP. What is the markup amount?
The markup amount of the purchase is $1114
How to determine the markup amount?From the question, we have the following parameters that can be used in our computation:
Discount = 30%
Selling price = $780
The markup amount is calculated using the following equation
Selling price = Markup amount * (1 - discount)
Make the markup the subject
Markup = Selling price/(1 - discount)
Substitute the known values in the above equation, so, we have the following representation
Markup = 780/(1 - 30%)
Evaluate
Markup = 1114
Hence, the markup is $1114
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