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2 years ago

Write an equation for the line parallel to the given line that contains C. C (1,8); 5/7x + 7

Mathematics

1 answer:

Genrish500 [490]2 years ago

4 0

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Answer: $\textsf{y = 5/7x + 51/7}$

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Given: $\textsf{Goes through (1, 8) and is parallel to y = 5/7x + 7}$

Find: $\textsf{Write an equation that follows that criteria}$

Solution: We know that our equation is going to parallel to the line that was given therefore the slope would stay the same at 5/7. We also have a point so we can plug in the values into the point-slope form, distribute, and solve for y.

Plug in the values

$\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}$

$\textsf{y - 8 = 5/7(x - 1)}$

Distribute

$\textsf{y - 8 = (5/7 * x) + (5/7 * (-1))}$

$\textsf{y - 8 = 5/7x - 5/7}$

Add 8 to both sides

$\textsf{y - 8 + 8 = 5/7x - 5/7 + 8}$

$\textsf{y = 5/7x - 5/7 + 8}$

$\textsf{y = 5/7x + 51/7}$

Therefore, the final equation that follows the description that was provided in the problem statement is y = 5/7x + 51/7.

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2 years ago

Claire is buying a new bicycle for 295 if the sales tax is 4.75% what will she pay in this total

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3 years ago

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3 years ago

Tommy is purchasing items from an online store. The store charges $6 shipping and handling for each package. Write an expression

faust18 [17]

Answer:

The expression to represent the total shipping costs for x package is 6x.

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Step-by-step explanation:

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3 years ago

Evaluate the integral. (Assume a ≠ b. Remember to use absolute values where appropriate. Use C for the constant of integration.)

Bess [88]

Answer:

F(x)= 5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x + C.

Step-by-step explanation:

First step we aplicate distributive property to the function.

5*(x+a)*(x+b)= 5*[ $x^{2}$ +x*b+a*x+a*b]

5*[ $x^{2}$ +x*(b+a)+a*b]= f(x), where a, b are constant and a≠b

integrating we find ⇒∫f(x)*dx= F(x) + C, where C= integration´s constant

∫^5*[ $x^{2}$ +x*(a+b)+a*b]*dx, apply integral´s property

5*[∫ $x^{2}$ dx+∫(a*b)*x*dx + ∫a*b*dx], resolving the integrals

5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x

Finally we can write the function F(x)

F(x)= 5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x ]+ C.

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3 years ago