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damaskus [11]
3 years ago
7

You can show your work if u want to Find 2 numbers if Their sum is −7 and their difference is 14

Mathematics
1 answer:
Pepsi [2]3 years ago
7 0

The larger number is (-7+14)/2 = 3.5.

The smaller number is (-7-14)/2 = -10.5.

_____

The two equations a+b=-7, a-b=14 can be solved to get these results. It is genrally convenient to solve them by adding one to the other, or subtracting one from the other.

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Rewrite each equation in vertex form by completing the square. Then identify the vertex.
Cerrena [4.2K]
ANSWER

Vertex form:

y = ( {x + 4)}^{2} - 11

Vertex

V(-4,-11)

EXPLANATION

The given expression is

y = {x}^{2} + 8x + 5

We complete the square to get the vertex form.

Add and subtract half the square of the coefficient of x.

y = {x}^{2} + 8x + 16 + 5 - 16

y = ( {x + 4)}^{2} - 11

The vertex is

V(-4,-11)
7 0
2 years ago
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3 years ago
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lyudmila [28]

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4x^2+4x+xy=5\implies 8x+4+\stackrel{\textit{product rule}}{\left( 1\cdot y+x\cdot \cfrac{dy}{dx} \right)}=0 \\\\\\ x\cfrac{dy}{dx}=-8x-4-y\implies \cfrac{dy}{dx}=\cfrac{-8x-4-y}{x}

now, we know that y(5) = -23, which is another way of saying that when x = 5, y = -23, but we already knew that, we can get that by simply plugging it into the equation hmmm y'(5), well

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N76 [4]
The solution is <span>B. π/12+nπ

</span>proof 
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3 years ago
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