Answer:
30
Step-by-step explanation:
the answer has to be greater than 6 and less than 36
15+21=36, 21-15=6
It would be true because 3.5x16 would be 56
Answer:
Step-by-step explanation:


In exponent multiplication, if two numbers have same base, just add the exponents
In exponent division, if two numbers have same base, just subtract the exponents
Prime factorize 4 = 2*2 = 2²
4⁻¹ *(2³÷ 4⁻² )= (2²)⁻¹ * ( 2³÷ (2²)⁻²
= (2⁻²)* (2³ ÷2⁻⁴)
![= 2^{-2} * (2^{3-[-4]})\\\\= 2^{-2} * (2^{3+4})\\\\= 2^{-2} * 2^{7}\\\\= 2^{-2+7}\\\\= 2^{5}\\\\= 2 * 2 * 2 * 2 * 2\\\\= 32](https://tex.z-dn.net/?f=%3D%202%5E%7B-2%7D%20%2A%20%282%5E%7B3-%5B-4%5D%7D%29%5C%5C%5C%5C%3D%202%5E%7B-2%7D%20%2A%20%282%5E%7B3%2B4%7D%29%5C%5C%5C%5C%3D%202%5E%7B-2%7D%20%2A%202%5E%7B7%7D%5C%5C%5C%5C%3D%202%5E%7B-2%2B7%7D%5C%5C%5C%5C%3D%202%5E%7B5%7D%5C%5C%5C%5C%3D%202%20%2A%202%20%2A%202%20%2A%202%20%2A%202%5C%5C%5C%5C%3D%2032)
Answer:

Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>tips and formulas:</h3>

- vertices of hyperbola:(±a,0) and (0,±b) if reversed

<h3>given:</h3>
- vertices: (0,±10)
- the hyperbola equation is inversed since the vertices is (0,±10)
- asymptotes:

<h3>let's solve:</h3>
- the asymptotes are in simplest and we know b is ±10
according to the question

therefore we got
note: the equation will be inversed
let's create the equation:

Answer: The slope is: "3" ; which does not appear among the answer choices given.
______________________________________________
The slope, "m" is calculated as follows:
___________________________________
Given two coordinates on a line;
m = (y₂ − y₁) / (x₂ − x₁) ;
__________________________________________
We are given the following 2 (TWO) coordinates:
__________________________________________
1) (5,2) ; which is: (x₁ ,y₁) ; so x₁ = 5 ; y₁ = 2 ; AND:
2) (7,8); which is: (x₂ ,y₂) ; so x₂ = 7; y₂ = 8 ;
_____________________________________________
So; m = (y₂ − y₁) / (x₂ − x₁) = (8−2) /.(7−5) = 6/2 = 3 .
m = 3. The slope is: 3 ; which does not appear among the answer choices given.
______________________________________________
Alternately,
______________________________________________
We are given the following 2 (TWO) coordinates:
__________________________________________
1) (7,8) ; which is: (x₁ ,y₁) ; so x₁ = 7 ; y₁ = 8 ; AND:
2) (5,2); which is: (x₂ ,y₂) ; so x₂ = 5; y₂ = 2 ;
______________________________________________
So; m = (y₂ − y₁) / (x₂ − x₁) = (2−8) / (5−7) = -6/-2 = 3 .
m = 3. The slope is 3 ; which does not appear among the answer choices given.
________________________________________________