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2 years ago

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Mathematics

1 answer:

Juli2301 [7.4K]2 years ago

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You just bought a dog and need to put a fence around your yard. If your yard is 22.5 ft by 28.5 how many feet of fencing will yo

Diano4ka-milaya [45]

Answer:

102 feet of fencing.

Step-by-step explanation:

Since this is asking to <u> enclose </u> the yard, it is a perimeter question.

22.5 x 2 = 45

28.5 x 2 = 57

45 + 57 = 102

102 is your answer.

Hope this helps.

4 0

2 years ago

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5x – 24 > 26 <br> what is the solution to the inequality?

ozzi

Answer:

x > 10

Step-by-step explanation:

5x - 24 > 26

Add 24 on both sides.

5x -24 + 24 > 26 + 24

5x > 50

Divide by 5 on both sides.

x > 50 ÷ 5

Find x.

x > 10

6 0

2 years ago

The function f(x) = x2 + 6x + 3 is transformed such that g(x) = f(x − 2). Find the vertex of g(x).

garri49 [273]

Answer:

(-1,-6)

Step-by-step explanation:

$f(x)=x^2+6x+3$

$g(x)=f(x-2)$

$g(x)=(x-2)^2+6(x-2)+3$ (Replaced x in f with (x-2))

$g(x)=x^2-4x+4+6x-12+3$ (Used $(x+b)^2=x^2+2bx+b^2$ and distributive property)

$g(x)=x^2-4x+6x+4-12+3$ (Gathered like terms)

$g(x)=x^2+2x-5$ (Simplified)

The vertex of a parabola occurs at $(\frac{-b}{2a},g(\frac{-b}{2a})$ .

Let's find $\frac{-b}{2a}$ first.

$\frac{-2}{2(1)}=-1$

Now we can obtain $g(\frac{-b}{2a})$ which is $g(-1)$ in this case:

$g(x)=x^2+2x-5$

$g(-1)=(-1)^2+2(-1)-5$

$g(-1)=1-2-5$

$g(-1)=-1-5$

$g(-1)=-6$ .

The vertex is (-1,-6).

6 0

3 years ago

What is the given value of the variable 7/8 times C for C equals eight

goldenfox [79]

7/8 * C

C = 8

7/8 * 8

56/8

7

6 0

3 years ago

What's the answer to that question

nikdorinn [45]

Can you please put the question?

3 0

3 years ago

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