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2 years ago

Write the equation of the line that is parallel to y=4x-1 and passes through the point (4.9)

Mathematics

1 answer:

lutik1710 [3]2 years ago

8 0

9514 1404 393

Answer:

y = 4x -7

Step-by-step explanation:

Rearranging the slope-intercept for equation, we can find the intercept:

y = mx +b

y -mx = b . . . . . subtract mx

We know the slope of the parallel line is the same as that of the given line (m=4), so we only need to find 'b'.

b = 9 -4(4) = -7

The desired equation is ...

y = mx +b

y = 4x -7

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Two number cubes are rolled and the product of the two numbers shown is calculated. Calculate P(multiple of 6). Record your answ

Ludmilka [50]

Answer:

1/6

Step-by-step explanation:

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2 years ago

Solve the equation. Then check your solution.4- 3/5(3a+4)=7A. -7.4B. -6C. 3D. -3

Evgesh-ka [11]

Answer: a = -3

Explanations:

The given equation is:

$4\text{ - }\frac{3}{5}(3a+4)\text{ = 7}$

This can be re-written as:

$4-\frac{3(3a+4)}{5}=7$

Collect like terms:

$\begin{gathered} -\frac{3(3a+4)}{5}=\text{ 7 - 4} \\ -\frac{3(3a+4)}{5}=\text{ 3} \end{gathered}$

Cross multiply:

$\begin{gathered} -3(3a+4)\text{ = 3}\times5 \\ -3(3a+4)=\text{ 15} \\ \text{Expand the bracket} \\ -9a\text{ - 12 = 15} \\ \text{Collect like terms} \\ -9a\text{ = 15 + 12} \\ -9a\text{ = 27} \\ \text{Divide both sides by -9} \\ \frac{-9a}{-9}=\frac{27}{-9} \\ a\text{ = -3} \end{gathered}$

To verify if the solution is correct, substitute a = -3 into the question given. If the Right Hand Side equals the Left Hand Side, then the solution is correct.

$\begin{gathered} 4-\frac{3(3a+4)}{5}=\text{ 7} \\ \text{Substitute a = }-3 \\ 4\text{ - }\frac{3(3(-3)+4)}{5}\text{ = 7} \\ 4\text{ - }\frac{3(-9+4)}{5}\text{ = 7} \\ 4\text{ - }\frac{3(-5)}{5}\text{ = 7} \\ 4\text{ - }\frac{-15}{5}=\text{ 7} \\ 4-(-3)=7 \\ 4+3=7 \\ 7=7 \end{gathered}$

Since the Left Hand Side = Right Hand Side = 7, the solution a = -3 is correct

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5 months ago

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sertanlavr [38]

Answer:

Step-by-step explanation:

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Am subtracting because he made a down payment so I can get the remaining of the money.

Let x = # of months

You use the remaining of the money to divide by 30 because of his monthly payments.

660 / 30x =

x = 22

Divide by 30 to isolate the variable x.

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2 years ago

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Anuta_ua [19.1K]

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Step-by-step explanation:

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1 year ago

Read 2 more answers