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N76 [4]
3 years ago
8

In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what i

s the value of b, if c=13 and a=12
Mathematics
1 answer:
nevsk [136]3 years ago
7 0

The Pythagorean theorem tells you ...

... c² = a² + b²

... 13² = 12² + b² . . . . . fill in the given numbers

... 169 - 144 = b² . . . . .subtract 12²

... √25 = b . . . . . . . . . take the square root

... b = 5 . . . . . . The value of b you're looking for.

_____

The numbers {5, 12, 13} make what is called a "Pythagorean triple" a set of integers that satisfies the relation of the Pythagorean theorem. These, and the triple {3, 4, 5} are often seen in algebra problems. It can be worthwhile to remember these numbers.

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Solving by elimination <br> 5x+2y= -3<br> 3x+3y=9<br> please help me solve x and y
-Dominant- [34]
1) -3(5x+2y=-3)⇒ -15x-6y=9
                                             ⇒ -9x=27
     2(3x+3y=9)⇒ 6x+6y=18

2) -9x/-9=27/-9 ⇒ x=-3 

3) 3(-3)+3y=9⇒ -9+9+3y=9+9⇒ 3y/3=18/3⇒ y=6

Answer: (-3,6)

Reasoning:
Step 1) In order to eliminate, first I had to multiple the first equation by -3 and the second by 2 so that when combining the equations y would cancel each other out so that I could solve for x. <em>Note: There are many combinations as to how you could multiple the equations so that either the x or y would cancel out.
</em>
Step 2) Once y is eliminated, solve for x.

Step 3) Now plug x back into one of the original equations and solve for y. <em>Note: Plug x back into one of the original equations, not the equations that were changed by multiplication,</em> 

6 0
3 years ago
The length of her scale drawing is 8 inches, and the width is 14 inches. The actual length of the MP3 player is 4 centimeters, a
Korvikt [17]
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6 0
3 years ago
The following stock prices reflect the closing price for the past five days. Find the 3 day SMA
Masteriza [31]

Answer:

solution

Step-by-step explanation: total=209.75

7 0
2 years ago
Factor completely 5ab(x + 6) − 4(x + 6).
konstantin123 [22]
It seems like you've begun to apply the grouping method.

Because the two binomials in the parentheses are the same, we can rewrite this as

(5ab-4)(x+6)

(x+6) cannot be further factored. (5ab-4) cannot be further factored either.

Final answer: (5ab-4)(x+6)
4 0
3 years ago
Solve for x:
Keith_Richards [23]
It’s C because if you type it In this is what it comes out as

7 0
3 years ago
Read 2 more answers
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