Answer:
Step-by-step explanation:
The equation of a line
y = mx + c
y - intercept point y
m - slope of the line
x - intercept point x.
c - intercept of the line
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given two points
( -7 , -7) ( -7 , 4)
x1 = -7
y1 = -7
x2 = -7
y2 = 4
Insert the values into the equation
m = 4 - (-7) / -7 -(-7)
m = 4 + 7 / -7 + 7
m = 11/ 0
Step 2: sub any of the two points given into the equation
y= mx + c
y = 11/0x + c
(-7 ,4 )
x = -7
y = 4
4 = 11/0(-7) + c
4 = -77/0 +c
-77/0 is math error which means that the points are not correct
M∠1 = m∠2 = <span>m∠3 = 112
hope it helps</span>
Answer:
B. Fabiana
Step-by-step explanation:
Samantha has 3/15, which is .4
Gabriel is 3/8, which is 0.375
Fabiana is 8/20, which is .4= the same as Samantha
Migues is 5/10, which is .5
Johnny is 9/21 which is, .428
The answer to your question is 443.2 as the mean is the average
Answer:
1. shifts the graph right 2 units
2. y = -2(x -3)² +7
Step-by-step explanation:
1) Replacing x with x-h in any function shifts the graph h units to the right. Here, you have replaced x with (x-2), so the graph will be shifted 2 units to the right.
__
3) The vertex form of the equation of a parabola is ...
y = a(x -h)² +k . . . . . . . . for vertex (h, k) and vertical scale factor 'a'
Here, the vertex is (h, k) = (3, 7), and the parabola opens downward. This tells us the sign of 'a' is negative.
The graph is not so clear that it is easy to read the value of 'a' directly from it, but there are several clues.
The zeros of the above function are found at h±√(k/a). This graph shows the zeros to be located such that √(7/a) is slightly less than 2. This means the magnitude of 'a' will be slightly more than 7/2² = 1.75. The y-intercept of the function is 7-9a. It is less than -7, but probably more than -14. This puts bounds on 'a':
-14 < 7-9a < -7
-21/9 < -a < -14/9 ⇒ -2.33 < -a < -1.56
If we assume that 'a' is an integer value, we have bounded its magnitude as being between 1.75 and 2.33, so a=-2 is a reasonable choice.
The equation of the graph may be ...
y = -2(x -3)² +7