Problems like this require that you recognize that the denominator of the right term is a factor of the denominator of the left term. That is, you're supposed to know how to recognize and factor the difference of two squares.

$\dfrac{5-p}{49-p^2}+\dfrac{p+1}{p-7}=\dfrac{p-5}{p^2-49}+\dfrac{p+1}{p-7}\\\\=\dfrac{p-5}{(p-7)(p+7)}+\dfrac{p+1}{p-7}\cdot\dfrac{p+7}{p+7}\\\\=\dfrac{(p-5)+(p+1)(p+7)}{(p-7)(p+7)}=\dfrac{p-5+p^2+8p+7}{p^2-49}=\dfrac{p^2+9p+2}{p^2-49}$

8 0

3 years ago

What form is this equation in y= -3(x-5)^2+7 in?

Marianna [84]

Answer:

vertex form

Step-by-step explanation:

y= -3(x-5)^2+7

This equation is written in vertex form

y = a(x-h)^2 +k

The vertex is (h,k)

8 0

3 years ago

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Solve the system by substitution.<br> y = -3x + 4<br> y = -7x<br> Submit Answer

iVinArrow [24]

Answer:

{y,x} = {7,-1}

Step-by-step explanation:

(-7x) + 3x = 4

- 4x = 4

4x = - 4

x = - 1

y = -7x

x = -1

y = -7(-1) = 7

5 0

3 years ago

(I WILL MARK BRAINLYIEST ONLY IF CORRECT)The first five terms of a pattern are given below. 36,38,40,42,44 which expression can

nekit [7.7K]

Answer:

Step-by-step explanation:

5 0

2 years ago

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