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2 years ago

Solve{a 1/2 • b 1/3}^-3

Mathematics

1 answer:

UNO [17]2 years ago

5 0

Step-by-step explanation:

so this what I found hope you a good luck

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Which of the following expression is equivalent to sin(5x) ?

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2 years ago

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balu736 [363]

Answer:

Step-by-step explanation:

Use vertical angles to help solve the problem. Angles that are across from each other are congruent. For exmaple, <2 = 85 degrees because the angle across from it is 85 degrees. I assume angle 1 is 95 degrees, so angle 3 would also be 95 degrees.

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2 years ago

Andrea put $52 in the savings account that pays 4% interest how much interest will she earn in one year

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9 months ago

How do I solve for x

Alchen [17]

Greetings!

To find the length of any side of a right triangle, you can use the Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
$a^2+b^2=c^2$

Input the information from the diagram into the formula:
$(x)^2+(x+7)^2=(13)^2$

Expand each term:
$(x)^2+(x+7)^2=(13)^2$

$x^2+((x+7)(x+7))=169$

$x^2+(x(x+7)+7(x+7))=169$

$x^2+x^2+7x+7x+49=169$

Combine like terms:
$2x^2+14x+49=169$

Add -169 to both sides:
$(2x^2+14x+49)+(-169)=(169)+(-169)$

$2x^2+14x-120=0$

Factor out the Common Term (2):
$2(x^2+7x-60)=0$

Factor the Complex Trinomial:
$2(x^2-5x+12x-60)=0$

$2(x(x-5)+12(x-5))=0$

$2(x-5)(x+12)=0$

Set Factors to equal 0:
$x-5=0$

$x=5$

or

$x+12=0$

$x=-12$

However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)

The Solution Is:
$\boxed{x=5}$

I hope this helped!
-Benjamin

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2 years ago

Solve{a 1/2 • b 1/3}^-3 ​

Solve{a 1/2 • b 1/3}^-3