Step-by-step explanation: the absolute value is the distance away from 0 a number is. 13 is 13 numbers away from 0. the absolute value of negative 5 would simply be 5 since it is still 5 units away from zero, even though it is a negative number.

6 0

3 years ago

4(3x+2y) distributive property pls help

Sonbull [250]

Answer:

$12x+8y$

Step-by-step explanation:

1) Expand by distributing terms.

$4*3x+4*2y$

2) Simplify 4*3x to 12x.

$12x+4*2y$

3) Simplify 4*2y to 8y.

$12x+8y$

<u>Therefor, the answer is </u><u>12x + 8y.</u>

8 0

3 years ago

The hypotenuse of a right triangle is 6 inches. if one of the legs is 2 inches, find the degree measure of each angle

miskamm [114]

A and b are the 2 smaller sides, and c = hypotenus; only for right triangles,
Pythagorean Theorem states that:
${c}^{2} = {a}^{2} + {b}^{2}$
given c = 6 in., a = 2 in.
${c}^{2} = {a}^{2} + {b}^{2} \\ {6}^{2} = {2}^{2} + {b}^{2} \\ {b}^{2} = {6}^{2} - {2}^{2} = 36 - 4 \\ \sqrt{ {b}^{2} } = \sqrt{36 - 4} = \sqrt{32}$
$b = \sqrt{32} = \sqrt{16} \times \sqrt{2} = 4 \sqrt{2} \\ b = 5.66 \: inches$
So the three side are 2, 6, and 5.66 inches

5 0

3 years ago