Answer:
![16](https://tex.z-dn.net/?f=16)
Step-by-step explanation:
In a right triangle, the Pythagorean Theorem goes as follows:
, where
is the hypotenuse of the triangle and
and
are legs of the triangle.
We can set up the following equation using the information given:
Let
be the missing side:
![12^2+x^2=20^2,\\144+x^2=400,\\x^2=256,\\x=\boxed{16}](https://tex.z-dn.net/?f=12%5E2%2Bx%5E2%3D20%5E2%2C%5C%5C144%2Bx%5E2%3D400%2C%5C%5Cx%5E2%3D256%2C%5C%5Cx%3D%5Cboxed%7B16%7D)
Answer:
Additive
-2 = 2
18 = -18
-30 = 30
2/5 = -2/5
Multiplicative
8/9 = 9/8
12/15 = 15/12
-6 = -1/6
10 = 1/10
Step-by-step explanation:
an<em> additive inverse</em> is a number you must add to another number to get 0
(think of it as the negative version of the number)
<em>{but WHY? In math, you can imagine comparing numbers on a number line. If we are finding the opposite of a number, we want to find the same distance from 0, but on the opposite side of 0. So, 2 would be two to the right of 0, -2 would be two to the left of 0}</em>
-2 + 2 = 0
18 - 18 = 0
-30 + 30 = 0
2/5 - 2/5 = 0
a <em>multiplicative inverse</em> is a number that you multiply by another number to get 1.
We are finding the "reciprocal" of a number; you are essentially flipping it as a fraction
(reciprocal of 2 = 1/2 {remember, 2 is the same thing as 2/1 } ; reciprocal of 1 / 8 = 8)
<em>note: reciprocal is being used interchangeably with multiplicative inverse here</em>
<em />
8/9 · 9/8 = 1
12/15 · 15/12 = 1
-6 · -1/6 = 1 {-6 = -6/1}
10 · 1/10 = 1 {10 = 10/1}
hope this helps!! have a lovely day :)
Answer:
The simplified expression of (4-5r+8s)(5r-9) is
40r s-25r^2-72s+65r-36
(hope this helped)
To solve, use properties of logs, specifically log(u)+log(v)=log(uv). This makes your equation logb(x+1)+logb(x-8)=logb((x+1)(x-8)), which can be made into logb(x^2-7x-8) by expanding the factored form.
Transpose the equation:
8x+6y=30
First minus 8x from each side of the equation.
6y=30-8x
Then divide each side by 6.
y=5-1.33x or if you want the answer in exact form:
y=5-4/3x
The slope is 4/3 or 1.333.