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Angelina_Jolie [31]

3 years ago

6

Mrs. Jones wants to cover half of her 5 x 7 rectangular bulletin board with two different colors (white and black) as show in th

e picture below. How much black paper does she need?

1 answer:

Vladimir [108]3 years ago

6 0

5x7=35
35/2= 17.5(whichever unit you’re using)

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What is the vertex of the graph of y + 2x + 3 = –(x + 2)2 + 1? (–3, –33) (–3, 3) (3, –24) (3, 21)

Arte-miy333 [17]

ANSWER

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EXPLANATION

The given function is

$y + 2x + 3 = - (x + 2) ^{2} + 1$

Expand

$y + 2x + 3 = - x ^{2} - 4x - 4 + 1$

Rewrite in the form:

$y =a {x}^{2} + bx + c$

This implies that,

$y = - x ^{2} - 4x - 2 x - 4 + 1 - 3$

$y = - {x}^{2} - 6x - 6$

Complete the square to get,

$y = - ( {x}^{2} + 6x) - 6$

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$y = - {(x + 3)}^{2} +9 - 6$

$y = - {(x + 3)}^{2} +3$

The function is now in the form:

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

where (h,k) =(-3,3) is the vertex

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