3 years ago

X^2+9x+20 divided by x+5

Mathematics

1 answer:

tangare [24]3 years ago

4 0

Answer:

x ≠ -5

Step-by-step explanation:

The easiest way is to factor the numerator.

x2 + 9x + 20 = (x + 4)(x + 5)

Then

(x2 + 9x + 20)/(x + 5) = (x + 4)(x + 5) / (x + 5) = x + 4,

with the restriction that x ≠ -5

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8. The endpoints of ST are s(-3, 2) and t(5,8). Find the coordinates of the midpoint of ST. Then find ST. OA midpoint: (1,5); ST

Naya [18.7K]

Answer:

The mid point of ST is (1,5) and ST = 10 units

Step-by-step explanation:

It is given that,

S(-3,2) and T(5,8). We need to find the coordinates of the midpoint of ST and also ST.

Let (x,y) be the mid point of ST. Using mid-point formula we get :

$(x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})$

We have, x₁ = -3, x₂ = 5, y₁ = 2 and y₂ = 8

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$(x,y)=(\dfrac{-3+5}{2},\dfrac{2+8}{2})\\\\(x,y)=(1,5)$

(1,5) is the midpoint of ST.

Using distance formula to find ST as follows :

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Hence, the mid point of ST is (1,5) and ST = 10 units.

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