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jek_recluse [69]

2 years ago

13

X^2+18x−29=−10 A. x=−4±√29 B. x=5±√86 C. x=−1±2√14 D. x=1, x=−19

1 answer:

baherus [9]2 years ago

4 0

Answer:

answer is d.)x=1 , x= -19

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A handyman charges $30 for supplies and

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Answer:

30 hours

Step-by-step explanation:

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45x=30+45x

x=30

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What where's the next expression 24 - 6 + 3

Kazeer [188]

<span>24 - 6 + 3
Subtract 6 from 24
18 + 3
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Find the missing number

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2 years ago

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A) Find the value of N if, Kn has 105 edges.

blagie [28]

The number of edges can be calculated from the number of vertices.

<em>There are 14 vertices for 105 edges</em>
<em>There are 200 vertices for 19900 edges</em>

The variable N is used to always represent the number of vertices.

So, we represent the edges as:

$E \to Edges$

<u />

<u>(a) The value of N for 105 edges</u>

The relationship between N and E is:

$E = \frac{N \times (N - 1)}{2}$

Substitute 105 for E

$105 = \frac{N \times (N - 1)}{2}$

Multiply through by 2

$210 = N \times (N - 1)$

$210 = N^2 - N$

Rewrite as:

$N^2 - N - 210 = 0$

Expand

$N^2 +14N - 15N - 210 = 0$

Factorize

$N(N +14) - 15(N + 14) = 0$

Factor out N + 14

$(N - 15) (N + 14) = 0$

Solve for N

$N = 15$ or $N = -14$

The number of vertices (N) cannot be negative. So:

$N = 15$

<u>(b) The value of N for 19900 edges</u>

We have:

$E = \frac{N \times (N - 1)}{2}$

Substitute 19900 for E

$19900 = \frac{N \times (N - 1)}{2}$

Multiply through by 2

$39800 = N \times (N - 1)$

$39800= N^2 - N$

Rewrite as:

$N^2 - N - 39800= 0$

Expand

$N^2 +199N - 200N - 39800= 0$

Factorize

$N(N +199) - 200(N + 199) = 0$

Factor out N + 199

$(N + 199) (N - 200) = 0$

Solve for N

$N = 200$ or $N = -199$

The number of vertices (N) cannot be negative. So:

$N = 200$

<em>Hence, there are 200 vertices for 19900 edges</em>

Read more about vertices and edges at:

brainly.com/question/22118318

7 0

2 years ago

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horsena [70]

That's a cube. Each face has surface area

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Our total surface has six faces,

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5 0

3 years ago