Answer:
C. 3
Step-by-step explanation:
Given expression is:

We know that the rules of exponents are used to solve these kind of questions.
When there is exponent on exponent like in this question 1/7 has an exponent of 7 , the exponents are multiplied.
So,

The 7's will be cancelled out and remaining power will be 1

Hence, option C is correct ..
The missing factor in the equation is -21
<h3>What is a distributive factor?</h3>
The Distributive Property introduces the multiplication operator an existing mathematical statement that involves the addition operator.
From the complete question, the equation is given as:

Where x represents the missing factor.
So, we have:

Remove brackets

Collect like terms

Evaluate the like terms

Divide both sides by -1

Hence, the missing factor in the equation is -21
Read more about the distributive property at:
brainly.com/question/2807928
Equation of a line that is perpendicular to given line is
.
Equation of a line that is parallel to given line is
.
Solution:
Given line
.
Slope of this line,
= 



Slope of perpendicular line, 
Passes through the point (–7, 5). Here
.
Point-slope formula:



Subtract 7 from both sides, we get

Equation of a line that is perpendicular to given line is
.
To find the parallel line:
Slopes of parallel lines are equal.


Passes through the point (–7, 5). Here
.
Point-slope formula:


Subtract 7 from both sides,

Equation of a line that is parallel to given line is
.
Answer:
9,600,000,000
Step-by-step explanation:
I am not sure it right but I hope it's helpful.
Step-by-step explanation:
You want the to find the value of k such that the y coordinate of the vertex is 0.
0=x2−6x+k
The x coordinate, h, of the vertex is found, using the following equation:
h=−b2a
h=−−62(1)=3
Evaluate at x = 3:
0=32−6(3)+k
k=9