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2 years ago

5. The hypotenuse of a right triangle is 14 in. If the base of the triangle is 2 inches determine the

Mathematics

2 answers:

kifflom [539]2 years ago

5 0

Answer:

13.8564...

Step-by-step explanation:

pythagorean theorem

Shtirlitz [24]2 years ago

4 0

Answer:

13.9642400438 inches

Step-by-step explanation:

2^2+b^2=14^2

4+b^2=196

b^2=195

b=13.9642400438

Therefore, 13.9642400438 inches

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prohojiy [21]

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3 years ago

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What is the solution to the system of two equations shown?

Nadya [2.5K]

The solution of the given system of equation is x = -3 and y = 4 respectively.

<h3>What is a system of linear equations?</h3>

A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.

The given system of equations is as,

y = 4x + 16 (1)

y = −2x − 2 (2)

In order to solve them, substitute equation (2) into (1) as follows,

4x + 16 = −2x − 2

=> 4x + 2x = -2 - 16

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Then, y = -2 × -3 - 2 = 4

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1 month ago

Find (f/g) (x) for the functions provided: ƒ(x) = x3 − 27, g(x) = 3x − 9

AnnZ [28]

Answer:

$(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)$

Step-by-step explanation:

We have been given that

$f(x)=x^3-27,g(x)=3x-9$

We can use the formula for difference of cubes to simplify the function f(x)

difference of cubes - $a^3-b^3=(a-b)(a^2+ab+b^2)$

$f(x)=x^3-27\\\\=x^3-3^3\\\\=(x-3)(x^2+3x+9)$

And g(x) can be written as

$g(x)=3x-9\\=3(x-3)$

Thus, we have

$(\frac{f}{g})(x)=\frac{(x-3)(x^2+3x+9)}{3(x-3}$

On cancelling the common factors, we get

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2 years ago

What are the steps to covert the answer into a mixed fraction of this problem 45 x 3/8= 135/8

riadik2000 [5.3K]

1. Divide 135 by 8 which is equal to 16
2. Multiply 16 ×8 = 128
3. Subtract 135 - 128 =7

The seven represent the numerator so it would be 7/8.

The finally answer would be

$16 \ \frac{7}{8}$

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