<h3><u>
Answer:</u></h3>
Option: C is the correct answer.
c) the coefficient of x is positive
<h3><u>
Step-by-step explanation:</u></h3>
We know that graph of a line goes up and to the right when the coefficient of x is positive.
Since we know that when a line goes up and to the right this means that the line is increasing and hence we will get a positive slope of the line and we know that the slope intercept of a line is given as:
as m is positive this means that:
the coefficient of x is positive.
Hence, the correct answer is:
c) the coefficient of x is positive
Answer:
Step-by-step explanation:
1). x² - 10x + a²
By using the formula of (a - b)² = a² - 2ab + b²
x² - 2(5)x + a²
Therefore, for a perfect square of the expression a should be equal to 5.
Therefore, (x² - 10x + 25) will be the answer.
2). x² + 2ax + 36
= x² + 2(a)x + 6²
For a perfect square of the given expression value of a should be 6.
x² + 2(a)x + 6² = x² + 2(6)x + 6²
= (x + 6)²
Therefore, x² + 12x + 36 will be the answer.
3). 
To make this expression a perfect square,
a² = 
= 
Therefore, the missing number will be 
.
The answer is B. Your welcome.
Answer:
The value of x is 6
Step-by-step explanation:
* Lets explain how to solve the problem
- Point Q is the mid-point of the segment PR
∵ Q is the mid-point of segment PR
∴ Q divided the segment PR into two equal parts
- When point Q divided the segment PR into two equal parts,
then the two parts are PQ and QR
∴ PQ = QR
∵ PQ and QR are 7x - 16 and 4x + 2
∴ 7x - 16 = 4x + 2
- Subtract 4x from both sides
∴ 7x - 4x - 16 = 2
∴ 3x - 16 = 2
- Add 16 to both sides
∴ 3x = 2 + 16
∴ 3x = 18
- Divide both sides by 3
∴ x = 6
∴ The value of x is 6
