The vertex form:
The axis of symetry is x = h.
We have
Substitute:
<h3>Answer: x = -3</h3>
Answer:
x = -1
Step-by-step explanation:
Solve for x:
3 (2 x - 1) = 7 x + 5 x + 3
Grouping like terms, 7 x + 5 x + 3 = (5 x + 7 x) + 3:
3 (2 x - 1) = (5 x + 7 x) + 3
5 x + 7 x = 12 x:
3 (2 x - 1) = 12 x + 3
Expand out terms of the left hand side:
6 x - 3 = 12 x + 3
Subtract 12 x from both sides:
(6 x - 12 x) - 3 = (12 x - 12 x) + 3
6 x - 12 x = -6 x:
-6 x - 3 = (12 x - 12 x) + 3
12 x - 12 x = 0:
-6 x - 3 = 3
Add 3 to both sides:
(3 - 3) - 6 x = 3 + 3
3 - 3 = 0:
-6 x = 3 + 3
3 + 3 = 6:
-6 x = 6
Divide both sides of -6 x = 6 by -6:
(-6 x)/(-6) = 6/(-6)
(-6)/(-6) = 1:
x = 6/(-6)
The gcd of 6 and -6 is 6, so 6/(-6) = (6×1)/(6 (-1)) = 6/6×1/(-1) = 1/(-1):
x = 1/(-1)
1/(-1) = -1:
Answer: x = -1
The missing coordinate r is 11.
Solution:
Given points are (–15, 1) and (–7, r).
Slope (m) = 
<u>To find the missing coordinate r:</u>
Slope formula:
Substitute the given values in the formula.
Do cross multiplication.
40 = 4r – 4
Add 4 on both side of the equation.
44 = 4r
Divide by 4 on both side of the equation.
11 = r
⇒ r = 11
Hence the missing coordinate r is 11.
Answer:
slope = 4
Step-by-step explanation:
We can find the slope of a line when knowing 2 points by using the slope formula, 
. 
and 
represent the x and y values of the first point, respectively. 
and 
represent the x and y values of the second point, respectively.
The two points we have are (2,8) and (0,0). So, in this case, = 2, = 8, = 0, and = 0. Let's substitute those values into the formula and solve to get the slope:
So, the slope is 4.
The measure to angle X is 44
