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3 years ago

How do you find the perimeter of a box?

Mathematics

1 answer:

Alexeev081 [22]3 years ago

8 0

Add up the length of all 4 sides

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Evaluate the following: Options are: -20 0 20 The integral diverges

victus00 [196]

Answer:

The integral diverges

Step-by-step explanation:

∫₋₁¹ 10/x² dx

There is a discontinuity in the function at x = 0. Splitting this into two integrals:

∫₋₁⁰ 10/x² dx + ∫₀¹ 10/x² dx

-10/x |₋₁⁰ + -10/x |₀¹

∞

3 0

3 years ago

Detmermine the best method to solve the following equation, then solve the equation. (3x-5)^2=-125

liq [111]

For the given equation;

$(3x-5)^2=-125$

We shall begin by expanding the parenthesis on the left side, after which we would combine all terms on and move all of them to the left side, which shall yield a quadratic equation. Then we shall solve.

Let us begin by expanding the parenthesis;

$\begin{gathered} (3x-5)^2\Rightarrow(3x-5)(3x-5) \\ (3x-5)(3x-5)=9x^2-15x-15x+25 \\ (3x-5)^2=9x^2-30x+25 \end{gathered}$

Now that we have expanded the left side of the equation, we would have;

$\begin{gathered} 9x^2-30x+25=-125 \\ \text{Add 125 to both sides and we'll have;} \\ 9x^2-30x+25+125=-125+125 \\ 9x^2-30x+150=0 \end{gathered}$

We shall now solve the resulting quadratic equation using the quadratic formula as follows;

$\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{Where;} \\ a=9,b=-30,c=150 \\ x=\frac{-(-30)\pm\sqrt[]{(-30)^2-4(9)(150)}}{2(9)} \\ x=\frac{30\pm\sqrt[]{900-5400}}{18} \\ x=\frac{30\pm\sqrt[]{-4500}}{18} \\ x=\frac{30\pm\sqrt[]{-900\times5}}{18} \\ x=\frac{30\pm\sqrt[]{-900}\times\sqrt[]{5}}{18} \\ x=\frac{30\pm30i\sqrt[]{5}}{18} \\ \text{Therefore;} \\ x=\frac{30+30i\sqrt[]{5}}{18},x=\frac{30-30i\sqrt[]{5}}{18} \\ \text{Divide all through by 6, and we'll have;} \\ x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3} \end{gathered}$

ANSWER:

$x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3}$

3 0

7 months ago

I need help with this

yanalaym [24]

The answer is the "y" value of (2, 3),

So the answer is (C), y = 3

6 0

3 years ago

The southward translation of the rose garden is along which axis? What integer represents a change of four yards south?

Sphinxa [80]

Going south means you're going in the negative direction along the y axis

Going 4 yards south would be represented as -4 on the y axis number line (this is the vertical number line)

3 0

3 years ago

PLEASE ANSWER FAST DUE IN 20 MINS PLEASE ANSWER FAST FAST FAST

BabaBlast [244]

Answer:

1 C

2 D and B

3 46

Step-by-step explanation:

hope that helps if not sorry<3

6 0

2 years ago