Answer: y = 4x + 1
Step-by-step explanation: Simple...
You have your equation... y=mx+b
You are given a coordinate. That is your x and y, and "m" is given already, and it's your slope.
First, you plug them in. You are solving for the unknown y-intercept or the "b".
5=4(1)+b
Then, you solve!
5=4+b
1=b
Parallel lines have the same slope, so the equation would be...
y=4x+1
Solve for x, please help finals are in a day and I have a D in this class(Geometry)
Answer:
x = 2
Step-by-step explanation:
In order to find the value of x, first we need to prove ∆ABC and ∆ADE as similar ∆s.So, let's prove:In ∆ABC and ∆ADE,[tex]\angle ABC \cong \angle ADE....(each \: 90\degree)[/tex][tex]\angle BAC \cong \angle DAE....(common \: \angle s)[/tex][tex]\implies \triangle ABC \sim \triangle ADE[/tex] (By AA postulate)[tex]\implies \frac{AB}{AD}=\frac{BC}{DE}....(csst) [/tex][tex]\implies \frac{2}{2+x}=\frac{1}{2}[/tex][tex]\implies {2+x}=4[/tex][tex]\implies {x}=4-2[/tex][tex]\implies {x}=2[/tex]If θ is an angle in standard position and its terminal side passes through the point (2,-1), find the exact value of \tan\thetatanθ in simplest radical form.
The exact value of tanθ is -1/2
What is the trigonometric ratio?
Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.
Given:
θ is an angle in standard position and its terminal side passes through the point (2,-1).
To find:
The exact value of tanθ in simplest radical form.
If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of tanθ is:
tanθ = y/x
It is given that, θ is an angle in standard position and its terminal side passes through the point (2,-1),. So, t he exact value of tanθ is:
tanθ = -1/2
Therefore, the required value is tanθ = -1/2
To learn more about trigonometric ratios form the given link
brainly.com/question/24133971
#SPJ1
Help pls i do not understand.
Answer:help on what?
Step-by-step explanation:
An agent is paid a commission of 2% on the total sales in a year and a bonus of 0.5% on the excess of sales over Rs. 9,00,000. Find how much he receives as commission if the bonus amounts is Rs. 1500.
Ans:Rs.24000
Write two expressions that are equivalent to -5/4x-3/4
Answer:
-10/8x-6/8
Step-by-step explanation:
Answer: -1.25x-0.75 or 1/4*(-5x-3)
Step-by-step explanation:
The first answer is converting the original expression into decimals (0.75 = 1/4). The second answer is factoring 1/4 out of the original expression (dividing each term by 1/4).
3 letters are typed, with repetition allowed. what is the probability that all 3 will be vowels? write your answer as a percent. round to the nearest hundredth of a percent as needed.
The probability that all 3 will be vowels will be .01 to the nearest hundredth
Probability is the study of the odds of an outcome occurring, which are determined by the ratio of favorable examples to probable cases.
There are 26 English alphabets, each with five vowels and twenty-one consonants. As a result, the likelihood of selecting a consonant's alphabet is 21/26.
First of all, we need to know the number of vowels in the 26 letters.
There are 5 vowels among the 26 letters,
probability (3 vowels of 3)
= (5/26)*(5/26)(5/26) multiplication of probability of each letters
=0.1923*0.1923*0.1923
≈0.0071
≈0.71%
or .01 to the nearest hundredth
Learn more about probability here:
https://brainly.com/question/13604758
#SPJ4
a ball dropped from a height of 13 feet begins to bounce. each time it strikes the ground, it returns to 3/4 of its previous height. what is the total distance traveled by the ball if it bounces infintely many times
On solving the provided question, we got to know that 91/4 feet is the vertical distance that ball traveled.
What is equation?
An equation in algebra is a formula that proves two other formulas are equivalent. For instance, the equation 3x + 5 = 14 is produced when the two equations 3x + 5 and 14 are combined with an equal sign. Mathematical equations in algebra frequently have one or more variables.
If the balls land in a straight line:
dropped = 13 ft
rebounds 3/4 (13) ft = 39/4 ft
vertical travel = 13 + 39/4 = 91/4 ft
To know more about equation visit:
https://brainly.com/question/649785
#SPJ4
A bag contains 6 red tiles, 8 blue tiles, and 6 green tiles. A tile is drawn , the color recorded, and then the tile placed back in the bag before a tile is drawn again. If this procedure is done 30 times, how many red tiles would you expect to draw?
Responses
Answer:
18 tiles
Step-by-step explanation:
There are 20 tiles in total. Red is 6 of the 20, or 6/20. That is 3/10 or 30%
Each draw has a 30% chance of being red. 30% or 20 tiles is 1.8 tiles. Over 30 draws, that would mean a total of 600 tiles are drawn, The overall chance of red is still 30%, so after 30 draws, the number of red tiles would be predicted to be 30% of 600:
(0.30)*(600) = 18 tiles will be red.
Jose can put together a transmission in 10 hours. Luis can build the same transmission in 8 hours. How long will it take them to build the transmission together?
The total time taken to finish building the transmission if Jose and Luis worked together is 4.44 hours
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total time required to finish building the transmission if Jose and Luis works together be = A
Now , the equation will be
The time required by Jose to build a transmission = 10 hours
The time required by Luis to build a transmission = 8 hours
If it takes one person 10 hours to build a transmission and another person 8 hours to build the same transmission , working together they could build the transmission even quicker
So ,
If Jose builds the transmission is 10 hours , he builds 1/10th of the transmission in one hour
If Luis builds the transmission in 8 hours , he builds 1/8th of the transmission in one hour
And ,
Together they build the transmission in
1/A = 1/10 + 1/8
where A is the total time required to finish building the transmission if Jose and Luis works together
So , the equation is
1/A = 1/10 + 1/8
1/A = 18/80
Taking reciprocals on both sides of the equation , we get
A = 80/18
A = 40/9
On simplifying the equation , we get
A = 4.44 hours
Therefore , the value of A is 4.44 hours
Hence , The total time taken to finish building the transmission if Jose and Luis worked together is 4.44 hours
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Please help me! I need help with this question.
Answer:
B. [tex]\triangle UVZ \cong \triangle VYX[/tex], SSS
The congruent statement and the reason why the triangles are congruent is (b) ΔUVZ ≅ ΔVYX, SSS
How to determine the congruent statement and the reason?From the question, we have the following parameters that can be used in our computation:
Triangles = UVZ and VYX
There are several theorems that make any two triangles to be congruent
One of these theorems is the SSS congruent theorem
The SSS congruent theorem implies that the corresponding sides of the triangles in question are congruent
From the question, we can see that the following corresponding sides on the triangles UVZ and VYX have the same mark
UV and VY
UZ and VX
VZ and YX
This implies that these sides are congruent sides
Hence, the congruent statement on the congruency of the triangles is (b) ΔUVZ ≅ ΔVYX and the reason is by SSS
Read more about congruent triangles at
https://brainly.com/question/1675117
#SPJ1
Help me solve it please
((3*3)²)²
Answer:
6,561
Step-by-step explanation:
((3*3)²)²
((9)²)²
(81)²
6,561
Answer:
Step-by-step explanation
answer:6561
3 times 3 = 9
9^2=81
81^2=6561
Date
9. Mike bought a set of golf clubs that cost k dollars. He signed an installment agreement requiring
a 5% down payment and monthly payments of g dollars for 1 1/2 years.
a. Express his down payment algebraically.
b. How many monthly payments must Mike make?
c. Write expressions for the total amount of the monthly payments and the finance charge.
The total amount of the monthly payments and the finance charge is 144.
What is instalment?Instalment is one of the regular payments that anyone can make for anything until you have fully paid that full amount.
Using the appropriate interest relation, the solution to the problems posed are :
Down payment = 0.05k
144 monthly payments
Total monthly payment made = 144g
Down payment :
5% of total cost
Total cost = k
5% × k = 0.05k
B.)
Number of monthly payments :
Number of months per year = 12
Number of years = 12
Number of monthly payments = 12 × 12 = 144
C.)
Total charge :
Monthly payment = $g
Number of monthly payments × amount paid
g × 144 = 144g
To know more about instalment click-
https://brainly.com/question/16032019
#SPJ1
Can anyone solve this question ignore the 10. Find:
Part (a)
[tex]\angle CDA=\angle CBA[/tex][tex]AB=AD[/tex][tex]AC=AC[/tex]Part (b)
Yes, the triangles are congruent by RHS.
What number is 32% of 50?
Answer: 16
Step-by-step explanation:
32% of 50 = 16
The maker of an automobile advertises that it takes 11 seconds to accelerate from 25 kilometers per hour to 75 kilometers per hour. Assuming constant acceleration, compute the distance, in meters, the car travels during the 11 seconds. Round your answer to two decimal places. 168.06 m 152.78 m 305.56 m 76.39 m 32.73 m
The value of the acceleration is 1.26 m/s² for the automobile advertised by the makers.
Explain the equation of motion?motion is shift in a body's orientation or position over time. Translation is defined as movement across a line or a curve. Rotation is a motion that modifies a body's orientation.Time t = 11 sec
Initial velocity u = 25 kmph
u = (25 × 1000)/(60 × 60) = 6.9 m/s
final velocity v = 75 kmph
v = (75 × 1000)/(60 × 60) = 20.83 m/s
From the first equation of motion;
v = u + at
Put the values;
20.83 = 6.9 + 11a
20.83 - 6.9 = 13a
11a = 13.93
a = 13.93 / 11
a = 1.26 m/s²
Thus, the value of the acceleration is 1.26 m/s² for the automobile advertised by the makers.
To know more about the equation of motion, here
https://brainly.com/question/25951773
#SPJ4
Which equation represents a line
passing through the point (8, 16) with a slope of 3?
Please explain all of the steps
Answer: y = 3x - 8
Step-by-step explanation:
We will write a point-slope equation to help us write a slope-intercept equation.
y - 16 = 3(x - 8)
y = 3(x - 8) + 16
y = 3x - 8
The slope-intercept form equation that represents this line is;
y = 3x - 8
the difference between a number and three fifths is a minimum of negative four sevenths
The inequality that represents the given statement is (C) f - 3 / 5 ≥ -4/7 or f plus 3 over 5 is greater than negative 4 over 7.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.
The equation-like form of the formula 5x − 4 > 2x + 3 has an arrowhead in place of the equals sign.
It is an illustration of inequity.
This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.
Finding the x numbers for which the inequality holds true is what we are most interested in.
So, the answer to the query is:
A number's deviation from three-fifths is equal to f - 3/5.
The entire statement is at least four sevenths in the negative.
Therefore, the inequality that represents the given statement is (C) f - 3 / 5 ≥ -4/7 or f plus 3 over 5 is greater than negative 4 over 7.
Know more about inequality here:
https://brainly.com/question/28964520
#SPJ4
Complete question;
Write the inequality for the statement:
the difference between a number and three-fifths is a minimum of negative four sevenths
f minus 3 over 5 is greater than or equal to 4 over 7
f minus 3 over 5 is greater than or equal to negative 4 over 7
f plus 3 over 5 is greater than negative 4 over 7
f minus 3 over 5 is less than or equal to negative 4 over 7
Help pls I don’t understand
Answer: I think its
x>-10/3
Step-by-step explanation:
There are 12 months in a year. How many months are there in 8 years? (Show your work.)
Answer:
1 year ---->12 months
8 years ---> 12×8 =96 months
so there will be 96 months in a 8 years .
Answer:
can you connect me private?
A boy who is 1.6 m tall casts a shadow when he stands 8.1 m from a base of an electric pole. how high above the ground is the light globe?
Answer:
The light globe is 1.6 meters above the ground.
Explanation:
height of light globe = height of boy x distance from light globe to base of electric pole / distance from boy to base of electric pole
Plugging in the values given in the problem, we get:
height of light globe = 1.6 m x 8.1 m / 8.1 m
This simplifies to:
height of light globe = 1.6 m
Norma and Vincent, the boy she was babysitting, were playing basketball together. Her score was 19 points, and his score was 17 points. Norma wanted to make the game more fair, so she called a time-out and modified the rules a bit. Norma explained that, for the rest of the game, she would get 2 points per basket, and Vincent would get 3 points per basket. Then they played a bit longer. After the time-out, they both made the same number of baskets and ended up with a tied score. How many points did each person have at the end? How many baskets did each person make after the time out?
Norma and Vincent each scored __by making ___baskets after the time-out.
They both make 3 baskets. The number of points Norma and vincent have after first time out are 6 points and 9 points respectively
What is Simultaneous equation?Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time.
If the number of basket is x, and the total point is y, thus
for Norma, the total point = 19+2x=y equation 1
for vincent, the total point = 16+3x= y equation 2
subtract equation 1 from 2
16-19+3x-2x = 0
-3+x = 0
x= 3
substitute 3 for x in equation 1
19+2(3)= y
25= y
y = 25
therefore they both made 3 basket after the first time out and Norma make extra 6 points and Vincent made extra 9 points
learn more about Simultaneous equation from
https://brainly.com/question/16863577
#SPJ1
It can sometimes get colder than 3 degrees in the north. Select all the
possible temperatures for the north.
A) -2 degrees
B) 0 degrees
C) 2 degrees
D) 4 degrees
E) 6 degrees
The possible temperatures for the north will be 4 degrees and 6 degrees. The correct option is D and E.
How to calculate the temperature?Mathematical statements with at least two terms connected by an operator and containing either numbers, variables, or both are referred to as expressions.
The direction that heat energy will spontaneously flow depends on temperature. Temperature is the degree to which a body is hot or cold. because it was mentioned that the north can occasionally experience temperatures below 3 degrees. D and E are the appropriate choices
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
antonio drive 26 miles north and then drives west at the end of his drive it is determined that he is 50 miles from where he started. how far did he drive west
Answer:Antonio drove 24 miles west
Step-by-step explanation: 50-26=24
Sergio says the triangle DEF was dilated by a scale factor of 5/2. Simone says triangle DEF was dilated by a scale factor of 3/2.
Will give big points
Answer: 6 and 7
Step-by-step explanation: The square root of 41 is 6.4. Since you multiply it by itself, it’s the nearest square root to 41.
Factor the polynomial by its greatest monomial factor.
The factorization of the given polynomial by greatest monomial factor is given as 3b⁵(1 + 5b - 6b²).
How to factorize a polynomial?The factorization of a polynomial can be done by taking out the common part to all of its terms and then expressing it as the product of those parts.
The given polynomial is 3b⁵ + 15b⁴- 18b⁷
It can be factorized as follows,
The largest factor common for all the terms of 3b⁵ + 15b⁴- 18b⁷ is 3b⁵.
Then, the given expression can be written as,
3b⁵ + 15b⁴- 18b⁷
= 3b⁵(1 + 5b - 6b²)
Hence, the given polynomial can be factorized as 3b⁵(1 + 5b - 6b²).
To know more about factorization click on,
https://brainly.com/question/14067703
#SPJ1
the 95% two-sided confidence interval for the mean is (-0.1,0.2). one of your friends claims that the mean could be 0. is your friend's claim reasonable? if yes, select true. if no, select fals
The 95% two-sided confidence interval for the mean is (-0.1,0.2). one of your friends claims that the mean could be 0. is your friend's claim reasonable.
It is TRUE statement.
Now, According to the question:
Let's know:
What is meant by 95% confidence interval?
Strictly speaking a 95% confidence interval means that if we were to take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value (μ).
OR
A confidence interval, in statistics, refers to the probability that a population parameter will fall between a set of values for a certain proportion of times. Analysts often use confidence intervals than contain either 95% or 99% of expected observations.
Hence, The 95% two-sided confidence interval for the mean is (-0.1,0.2). one of your friends claims that the mean could be 0. is your friend's claim reasonable.
It is TRUE statement.
Learn more about Confidence Interval at:
https://brainly.com/question/13481020
#SPJ4
Which of the following are quadratic equations in x ? x2-x+3=0
The given quadratic equations are:
x^2 - x + 3 = 02x^2 +5/2x - √3 = 0 1/3x^2 + 1/5x - 2 = 0Is in fact a quadratic equation.
How to identify a quadratic equation?The options are:
(i) x^2 - x + 3 = 0
(ii) 2x^2 +5/2x - √3 = 0
(iii) √2x^2 + 7x + 5√2
(iv) 1/3x^2 + 1/5x - 2 = 0
(v) x^2 - 3x - √x + 4 = 0
(vi) x - 6/x = 3
A general quadratic equation is a polynomial of degree 2:
a*x² + b*x + c = y
Where the variable is x, and we can see that the maximum exponent on a power of x is 2.
In this case, we have the first equation:
x^2 - x + 3 = 0
You can see that we have a polynomial of degree 2 (the maximum exponent is 2 and we only have positive integers as exponents) then this is in did a quadratic equation.
The other quadratics are:
2x^2 +5/2x - √3 = 0 1/3x^2 + 1/5x - 2 = 0Where you also can see polynomials of degree 2.
(the third option also seems to be quadratic, but it is not an equation)
Learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
The complete question is:
Which of the following are quadratic equation in x?
The options are:
(i) x^2 - x + 3 = 0
(ii) 2x^2 +5/2x - √3 = 0
(iii) √2x^2 + 7x + 5√2
(iv) 1/3x^2 + 1/5x - 2 = 0
(v) x^2 - 3x - √x + 4 = 0
(vi) x - 6/x = 3
PLEASE HELP ASAP
1. bisect an angle
2.copy an angle
3.construct a perpencicular line to a point not on the line
4. copy a segment
Answer:Bisect an angle :)
Step-by-step explanation:
2. in a random sample of 1200 persons aged 65 and over, the proportion with osteoarthritis was found to be 0.115 (or 11.5%) (a) what is the standard error for the estimate of the proportion of all person aged 65 and over with osteoarthritis?
The standard error for the estimate of the proportion of all persons aged 65 and over with osteoarthritis is 0.0092.
The subset chosen from the larger set to make assumptions is known as a random sample. Standard Error can be defined as the term that measures the accuracy of the sample distribution which represents the population.
We know that,
Standard Error = √ ( P ( 1 - P ) / n ) → 1
As per the given question,
n = 1200P = 0.115Substitute the values in 1,
Standard Error ( SE ) = √ ( P ( 1 - P ) / n )
= √ ( 0.115 ( 1 - 0.115 ) / 1200 )
= √ ( 0.115 ( 0.885 ) / 1200 )
= √ ( 0.101775 / 1200 )
= √ ( 0.0000848125)
Standard Error ( SE ) = 0.0092093702 ≅ 0.0092
Therefore, 0.0092 is the standard error for the estimate of the proportion of all persons aged 65 and over with osteoarthritis.
To know more about Standard Error refer to:
https://brainly.com/question/28583871
#SPJ4
