3 years ago

What is the solution of y= x squared - 10x + 16

Mathematics

1 answer:

PolarNik [594]3 years ago

4 0

Answer:

The factor out of -10x + 16 is

-2(5x - 8)

Step-by-step explanation:

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find three consecutive even integers so that the twice the sum of the second and third is twelve less than six times the first

zysi [14]

n, n + 2, n + 4 - three consecutive even integers

the twice the sum of the second and third: 2[(n + 2) + (n + 4)]

twelve less than six times the first: 6n - 12

The equation:

2[(n + 2) + (n + 4)] = 6n - 12

2(n + 2 + n + 4) = 6n - 12

2(2n + 6) = 6n - 12 <em>use distributive property</em>

(2)(2n) + (2)(6) = 6n - 12

4n + 12 = 6n - 12 <em>subtract 12 from both sides</em>

4n = 6n - 24 <em>subtract 6n from both sides</em>

-2n = -24 <em>divide both sides by (-2)</em>

n = 12

n + 2 = 12 + 2 = 14

n + 4 = 12 + 4 = 16

<h3>Answer: 12, 14, 16</h3>

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3 years ago

Which diagram contains a pair of similar triangles?

Musya8 [376]

Answer:

Step-by-step explanation:

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3 years ago

Are 3(h+4) and 3h + 12 equivalent? Explain using the table from Question 4.

Kruka [31]

Yes because once you distribute the 3 in the first equation it turns it into 3h+12

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2 years ago

Explain how you would find the sign of the quotient of 32 divided by -2 over -16 divided by 4

galina1969 [7]

You would find the sign if the signs are not the same if you are dividing or multiplying its negitve if its the same its positive

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3 years ago

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

3 years ago

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