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2 years ago

Can someone please help me with this question

Mathematics

1 answer:

Liono4ka [1.6K]2 years ago

7 0

Answer:

m = 9

Step-by-step explanation:

1) Find scale factor

12/8 = 3/2 = 1.5

2) 6x1.5 = 9

1) Set up proportion -> 6/8 = m/12

2) Cross multiply -> 8m = 72

3) Divide both sides by 8

4) m = 9

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Complete the square for each expression. Then factor the Trinomial <br> x^2+8x

Goryan [66]

The value of x is $x=0$ or $x=-8$

Step-by-step explanation:

The expression is $x^{2} +8x=0$

To complete the square, the equation is of the form $ax^{2} +bx+c=0$

The constant term c can be determined using, $c=\left(\frac{\frac{b}{a}}{2}\right)^{2}$

$\begin{aligned}c &=\left(\frac{8}{2}\right)^{2} \\&=\left(\frac{8}{2}\right)^{2} \\c &=4^{2} \\c &=16\end{aligned}$

Rewriting the expression $x^{2} +8x=0$ and factoring the trinomial, we have,

$\begin{array}{r}{x^{2}+8 x+16=16} \\{(x+4)^{2}=16}\end{array}$

Taking square root on both sides, we get,

$\begin{aligned}&x+4=\sqrt{16}\\&x+4=\pm 4\end{aligned}$

Either,

$\begin{array}{r}{x+4=4} \\{x=0}\end{array}$ or $\begin{array}{r}{x+4=-4} \\{x=-8}\end{array}$

Thus, the value of x is $x=0$ or $x=-8$

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3 years ago

Find the limit of f(x,y ) → (0,0) or show that the limit does not exist. Consider converting the function to polar coordinates t

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3 years ago

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stiv31 [10]

Answer: 18x + 12

Step-by-step explanation:

Step #1: Determine the length of each side.

The polygon is regular, so all the sides are equal. Thus, all sides measure 3x+2.

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This polygon is identified as a hexagon meaning it consists of 6 sides.

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