Marcus
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3   30   (3 30)
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David
Weeks Total Saved (x, y)
1 15 (1, 15)
2 30   (2, 30)
3 45   (3, 45)
4 60   (4, 60)

8 0

3 years ago

-x^2 +9x-12 in vertex form please help !!!

lesya [120]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this firm use the method of completing the square

Factor out - 1 from each term

y = - (x² - 9x + 12) $\frac{33}{4}$

To complete the square

add/subtract (half the coefficient of the x- term )² to x² - 9x

y = - (x² + 2( - $\frac{9}{2}$ )x + $\frac{81}{4}$ - $\frac{81}{4}$ + 12 )

= - ( (x - $\frac{9}{2}$ )² - $\frac{33}{4}$ )

y = - (x - $\frac{9}{2}$ )² + $\frac{33}{4}$ ← in vertex form

7 0

4 years ago

The Pythagorean Theorem can only be used with which type of triangle?

valkas [14]

Right triangle because a2 + b2 = c2

4 0

3 years ago