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3 years ago

Factor x2 − 4x + 5. Prime (x + 5)(x − 1) (x − 5)(x − 1) (x + 5)(x + 1)

1 answer:

8 0

1) Prime
2) (x + 5)(x − 1) = x²-1x+5x-5= x²+4x-5
3) (x − 5)(x − 1)= x² -1x -5x +5= x² -6x +5
4) (x + 5)(x + 1) = x² +1x +5x+ 5x = x² +6x+5

It is 1) Prime

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Plot point C(2,7). If M is the midpoint of CD , what are the coordinates of D?

Y_Kistochka [10]

Answer:

The coordinates of D is (-4,-9)

Step-by-step explanation:

Given

C = (2,7)

M=(-1,-1) ----- Missing part of question

Required

Determine the coordinates of D

Let the coordinates of D be (x₂,y₂)

We'll solve this question using mid point formula;

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

Where

$C(x_1,y_1) = (2,7)$ and $M(x,y) = (-1,-1)$

Put these values in the formula

$(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})$

By comparison;

$-1 = \frac{2+x_2}{2}$ and $-1 = \frac{7+y_2}{2}$

$-1 = \frac{2+x_2}{2}$

Multiply both sides by 2

$-2 = 2 + x_2$

Subtract 2 from both sides

$-2 -2 = x_2$

$x_2 = -4$

$-1 = \frac{7+y_2}{2}$

Multiply both sides by 2

$-2 = 7 + y_2$

Subtract 7 from both sides

$-2 - 7 = y_2$

$y_2 = -9$

Hence, the coordinates of D is (-4,-9)

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Airida [17]

<h2>6 is the answer.</h2>

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Find the inverse of the function: f(x) = 3x + 6

natta225 [31]

Answer:

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Step-by-step explanation:

Pull out like factors :

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Solve : -3 = 0

This equation has no solution.

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Solve : x+2 = 0

Subtract 2 from both sides of the equation :

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