Plz Answer This Mathematics Question??? NEED HELP ASAP

the answer is 86.48×10

20

x

3

Step-by-step explanation:

Regroup terms.

9.4\times {10}^{13}xx\times 9.2x\times {10}^{7}9.4×10

13

xx×9.2x×10

7

2 Take out the constants.

(9.4\times 9.2)xxx\times {10}^{13}\times {10}^{7}(9.4×9.2)xxx×10

13

×10

7

3 Simplify  9.4\times 9.29.4×9.2  to  86.4886.48.

86.48xxx\times {10}^{13}\times {10}^{7}86.48xxx×10

13

×10

7

4 Simplify.

86.48{x}^{3}\times {10}^{13}\times {10}^{7}86.48x

3

×10

13

×10

7

5 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

a

x

b

=x

a+b

.

86.48{x}^{3}\times {10}^{20}86.48x

3

×10

20

6 Regroup terms.

86.48\times {10}^{20}{x}^{3}86.48×10

20

x

3

18

step-by-step explanation:

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(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240