Write the equation of a line that is parallel to the line y=−4x+1 and goes through the point (2,0).

Answers

Answer 1

Answer:

y=-4x+8

Step-by-step explanation:

Hi there!

We are given the line y=-4x+1, and we want to write the equation of the line that is parallel to that line and that also passes through the point (2, 0)

Parallel lines have the same slope, so it makes sense to find the slope of the line y=-4x+1

The line is written in the format y=mx+b, where m is the slope and b is the y intercept.

As -4 is in the place of where m should be, the slope of the line is -4.

It's also the slope of the line parallel to it.

We can write the slope of the new line in slope-intercept form as well; this is the line so far, after substituting -4 as m:

y=-4x+b

Now we need to find b, which is the value of the y intercept

Remember that are given the point (2,0), which we can use to help solve for b; substitute 2 as x and 0 as y.

0=-4(2)+b

Multiply

0=-8+b

Add 8 to both sides

8=b

Substitute 8 as b into the equation:

y=-4x+8

Hope this helps!


Related Questions

If y + 6 = 45, then y = 39

Answers

Answer:

True!

Step-by-step explanation:

Simplify the following expression.

-14 × 3

A.
-42

B.
-56

C.
42

D.
-17

Answers

Answer:

The answer would be A. -42

What is the slope intercept equation from the graph?

Please help me thank u!

Answers

Answer:

y = -3/2x+3

Step-by-step explanation:

Pick two points on the line

(0,3) and (2,0)

Using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 0-3)/(2-0)

  = -3/2

The y intercept is 3

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -3/2x+3

LA Fitness Club charges an initial fee of $25
plus a monthly fee of $15. 24 hours fitness club
charges $45 initially plus $10 per month. In
how many months will the clubs cost the
same? How much is the cost?

Answers

Let’s make a system of equations
LA fitness club: y=15x+25
24 hours fitness club: y=10x+45
Then we substitute y to make them equal
15x+25=10x+45
5x=20
x=4
So therefore, 4 months and they will be equal

A mass oscillating up and down on the bottom of a spring (assuming perfect elasticity and no friction or air resistance) can be modeled as harmonic motion. If the weight is displaced a maximum of 6 cm, find the modeling equation if it takes 4 seconds to complete one cycle. Be to show, illustrate and explain your work.

Answers

The motion of the mass as it moves on the bottom of the spring is a

repetitive motion.

[tex]\mathrm{The \ motion \ of \ the \ mass \ attached \ to \ the \ spring \ is \ }\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]

Reasons:

The general form of the equation of the simple harmonic motion of the

mass is d = a·sin(ω·t)

Where;

d = The distance of the mass from the rest position

a = The maximum displacement of the mass from the equilibrium position = 6 cm

ω = The frequency of rotation

t = The time of motion

ω = The frequency of rotation

[tex]\displaystyle \omega = \mathbf{\frac{2 \cdot \pi}{T}}[/tex]

Where;

T = The time to complete one cycle (the period of oscillation) = 4 seconds

[tex]\displaystyle \omega = \frac{2 \cdot \pi}{4} = \frac{\pi}{2}[/tex]

Combining the above values gives the modelling equation as follows;

[tex]\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]

Learn more here:

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Suppose that a piano costs $6,000 and loses 15% of its value each year. The table below shows the value, v, of a piano after, t, years.
Part A: Write an equation to find the value of the piano, v, after t years.
Part B: What will be the value of the piano after 16 years? Round your answer to the nearest hundredth.

Answers

v(value)=6000-0.15t(years)

Part B would be $445.50

4.$3132.03

5$2662.23

6$2262.89

7$1923.46

8$1634.94

9$1389.70

10$1181.24

11$1004.05

12$853.45

13$725.43

14$616.61

15$524.12

16$445.50

plz help i will give brainiest
Graph the arithmetic sequence -1,-3,-5,-7,

Answers

Answer:

going up by 2 numbers

Step-by-step explanation:

Going up by -2 for example from 1 to -1 you are go up by -2

How many rows would be returned from a cross join of tables A and B, if A contains 8 rows and B contains 18

Answers

The number of rows that would be returned from the cross join of tables A and B is 144 rows.

The cross join of table A and table B is the cartesian product of A and B.

Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.

So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.

Learn more about cross join here:

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How to solve quadratic inequalities.

Answers

Answer:

Find the "=0" points

in between the "=0" points, are intervals that are either

greater than zero (>0), or

less than zero (<0)

then pick a test value to find out which it is (>0 or <0)

Help me out please !!!!

Answers

Answer:

B) 6<x<90

Step-by-step explanation:

48+42=90

48-42=6

There will be a number greater than and a number less than x.

90>6

6<x<90

Hope this helps :)

which of these tables represents a function? HELP ASAP

Answers

Where’s your picture?

Liam rented a surf boar which cost $12.50/hour plus a one-time service fee. He used the board or 5.5 hours and paid a total of $93.75.

Use this information to write an equation (in slope-intercept form) which represents how the rental cost is calculated.

Answers

Answer:

y = 12.5x + 25

Step-by-step explanation:

first, we need to find the cost of the one-time service.

12.50*5.5 = 68.75

93.75 - 68.75 = 25

therefore, the one-time service fee is $25.

liam had to pay $12.50 every hour and thats where we get 12.5x from.

he also had to pay $25 as the one-time service fee which gets us y = 12.5x + 25.

hope it helps :)

mark brainliest!!

Answer:

if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a surf board for x hours. Liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.

12 Times the product of 43 and a number B

Answers

Answer: 12*(43*B)

Step-by-step explanation:

12*(43*B)

y=-2/5x-3


plzz help help meeeeeeeee​

Answers

Plot the vertex at (0,-3), then go down 2 units and right units to plot a point at (5,-5). Then you can draw your line through the 2 points.

A radar gun measured the speed of a baseball at 92 miles per hour.

If the baseball was actually going 90.3 miles per hour, what was the percent error in this measurement?

Answers

Answer:

subtract the actual measurement from the initial measurement

ie. 92-90.3 =1.7 %

You can calculate the error and then measure how much percent of the real value, the error came.

The percent error in the considered measurement is of approx 1.88%

How to calculate the percent error?

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

To calculate percent error, we will measure how much percent of actual value, the error is, in the estimated value.

[tex]\text{Percent error} = |\dfrac{Error}{\text{Actual value}}| \times 100 = |\dfrac{\text{(Actual value - Estimated value)} }{\text{Actual value}}| \times 100[/tex]

Sine in the given condition, we have:

Actual measurement = 90.3 miles per hourEstimated measurement = 92 miles per hour

Thus, we have

Error = 90.3 - 92 = -1.7 miles per hour

Thus, the percent error is calculated as:

[tex]\text{Percent error} = |\dfrac{-1.7 }{90.3}|\times 100 = \dfrac{1.7 \times 100}{90.3} = \dfrac{170}{90.3} \approx 1.88\%[/tex]

Thus,

The percent error in the considered measurement is of approx 1.88%

Learn more about percent error here:

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Find the perimeter. Simplify your answer.

Answers

Answer:

The answer is 19s +23

Step-by-step explanation:

You add together all the sides and simplfy down.

4s+10+s+4+4s+10+10s-1

Add all the like terms

until it gets to 19s+23

Answer:

19s + 23

Step-by-step explanation:

P = 2(4s + 10) + s+4+19s-1

P = 8s + 20 + s + 4 + 10s - 1

P = 19s + 23

3 2/9 x -1 5/7 make an improper fraction, multiply, then make it a simplified mixed number.

Answers

Answer:

-145/63

Step-by-step explanation:

For an art project you are using a piece of cloth out in the shape of an right triangle What’s the area of the cloth?

Answers

Answer:

18

Step-by-step explanation:

6*6/2 = 18

help please nfvribwibfvwbifvibbiurw

Answers

Answer: A, D, E

Step-by-step explanation:

Find the quotient 40,936 4 34.

Answers

[tex]40936434. \times 10 {}^{7} [/tex]

Joseph is pouring concrete for his new patio. The area of the patio is 25.2 square feet
and the length is 7.2 feet. What is the width, w, of his patio?

Answers

Answer:

3.5ft

Step-by-step explanation:

A = L(W)

25.2 = 7.2(W)

3.5 = W

How do you do order of operations step by step?.

Answers

Answer:

                    "Please excuse my dear Aunt Sally or PEMDAS"

____________________________________________________________

Please stands for Parentheses, so we solve everything inside of the parentheses first.

Then, Excuse which is for “Exponents.” We answer that after we answer everything in parentheses.

Multiplication, which is the My, and this happens from left to right.

And then division, which is the “Dear,” which also happens left to right.

And then we have addition and subtraction, which also happens from left to right, and this is “Aunt” and “Sally.”

Cuanto es ³/4 de cerezas

Answers

Answer:

3/8

Step-by-step explanation:

Tom buys 120 eggs. (s. 25% of them are cracked how may cogs are craket many eggs​

Answers

Answer:

30 eggs.

Step-by-step explanation:

Cracked eggs: 120 x 25/100

=> 120 x 1/4

=> 30 eggs.

Therefore, 30 eggs are cracked.

Hoped this helped.

Which expression is equivalent to 7/8

A: 5/8 + 2/8 + 1/8

B: 3/8 + 3/8 + 1/8 +1/8

C: 4/8 + 2/8 + 1/8

D: 4/8 + 2/8 + 2/8​

Answers

C. 4/8 + 2/8 + 1/8 is equivalent to 7/8

C:4/8+2/8+1/8

brainlist me please

solve pls brainliest

Answers

1. None, it makes a cylinder

2. C

3. B

4. A

What is 2 3/4 + 1 4/5 as a mixed number

Answers

2 3/4 + 1 4/5 = 4 11/20

Please no "files": Simplify. Express your answer as the given base raised to a single exponent.
(9^6)^8

Answers

Answer:

9^48

Step-by-step explanation:

when parenthesis are involved, you multiply the powers

6*8=48

What is the length of the unknown side of the right triangle? A right triangle with hypotenuse x and legs 7 and 24 7 24 25 31

Answers

Answer:

X = 25

Step-by-step explanation:

To find the hypotenuse of a right triangle you use pythagorean theorm Where C = Hyp

A = Leg1

B = Leg 2

A^2 + B^2 = C^2

7^2 + 24 ^2 = x^2

49 +  576 = x^2

625 = X^2    (Square root both sides)

25 = x

-- Gage Millar, Algebra 1/2 tutor

5.f(1)+5.g(9)=
Please answer the questions

Answers

Answer:

5f+45g

Step-by-step explanation:

Simplify

5*f(1) = 5f

5*g(9) = 45g

5f+45g

f(1)= -5
g(9)= -6

5 x -5 = -25
5 x -6 = -30

-25 + -30 = -55
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