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3 years ago

Find the slope that passes through (2,-4) and (5,2)

Mathematics

1 answer:

yanalaym [24]3 years ago

7 0

Hi there! :)

Step-by-step explanation:

$SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}$

$\frac{2-(-4)}{5-2}=\frac{6}{3}=2$

Therefore, the slope is 2.

Final answer is 2.

*The answer must have a positive sign.*

I hope this helps you!

Have a nice day! :)

-Charlie

Thank you! :)

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Hello,

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Which of the following is an equivalent equation obtained by completing the square of the expression below? x^2+6x−8=0 A (x+3)^2

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Answer:

Solving the equation $x^2+6x-8=0$ by completing the square method we get $\mathbf{(x+3)^2=17}$

Option B is correct option.

Step-by-step explanation:

We need to solve the equation $x^2+6x-8=0$ by completing the square method.

For completing the square method: we need to follow: $a^2+2ab+b^2=(a+b)^2$

We are given:

$x^2+6x-8=0$

Solving by completing the square

$x^2+2(x)(?)+(?)^2-8=0$

We need to find ? in our case ? is 3 because 2*3= 6 and our middle term is 6x i,e 2(x)(3)=6x.

So, adding and subtracting (3)^2

$x^2+2(x)(3)+(3)^2-8-(3)^2=0\\(x+3)^2-8-9=0\\(x+3)^2-17=0\\(x+3)^2=17$

So, solving the equation $x^2+6x-8=0$ by completing the square method we get $\mathbf{(x+3)^2=17}$

Option B is correct option.

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Answer:

Step-by-step explanation:

KL- because triangle is a isosceles

(base angles are congruent)

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