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3 years ago

2^55^2(-6)^4 ___________ (-6)^22^35^2 simplify

Mathematics

1 answer:

gulaghasi [49]3 years ago

5 0

Answer:

The answer is 144

Step-by-step explanation:

$\frac{ {2}^{5} \times {5}^{2} \times { - 6}^{4} }{ {2}^{3} \times {5}^{2} \times { - 6}^{2} }$

${2}^{2} \times {6}^{2} = \\ 4 \times 36 = 144$

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zhenek [66]

I'm not completely sure on this but my guess would be 45% probability.

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4 years ago

Solve x2 + 14x = −24 by completing the square.

Aleks04 [339]

Option A

The solution set of the equation is {-12, -2}

<h3><u>Solution:</u></h3>

Given equation is:

$x^2 + 14x = -24$

We have to find the solution set of this equation by completing the square

First, rearrange the equation so that only zero will be on the right side:

$x^2 + 14x + 24 = 0$ ----- eqn 1

<em><u>The general form of quadratic equation is:</u></em>

$ax^2 + bx + c = 0$ where $a \neq 0$

On comparing the given eqn 1 with general quadratic equation, we get

a = 1

b = 14

c = 24

In completing the square, we take half of coefficient of middle term "x" and then square it. Then we add it on both sides of the equation

So to complete the square, add $(\frac{b}{2})^2$ to both sides of the equation

$x^2 + 14x + 24 + (\frac{14}{2})^2 = (\frac{14}{2})^2$

$x^2 + 14x + 24 + 7^2 = 7^2\\\\x^2 + 14x + 24 + 49 = 49$

$x^2 + 14x + 24 + 49 = 49\\\\x^2 + 14x + 49 = 49 - 24\\\\x^2 + 14x + 49 = 25\\\\(x + 7)(x + 7) = 25\\\\(x + 7)^2 = 25$

Take square root on both sides

$x + 7 = \sqrt{25}$

$x+7=\pm 5$

Now make two equations

x + 7 = + 5 and x + 7 = -5

x = +5 - 7 = -2

x = -2

And,

x + 7 = -5

x = -5 - 7 = -12

x = -12

Therefore, the solution set of the equation is {-12, -2} and option A is correct

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3 years ago

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dangina [55]

Answer:

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Step-by-step explanation:

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3 years ago

If a triangle has sides of length 8 cm and 14 cm, what are the possible lengths of the third side?

Pie

Answer:

√260 and √132

Step-by-step explanation:

use pythagoreans theorem and you can replace a and b or a and c

8^2+14^2=x^2

64+196=x^2

260=x^2

x=√260

8^2+x^2=14^2

64+x^2=196

x^2=132

x=√132

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4 years ago

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Leila's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Leila $5.85 per pound, and type

Jobisdone [24]

A + b = 147....a = 147 - b
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3 years ago

2^5*5^2*(-6)^4 ___________ (-6)^2*2^3*5^2 simplify

2^55^2(-6)^4 ___________ (-6)^22^35^2 simplify