Answer:
height of the ball + distance of the ball
Step-by-step explanation:
if we calculate ^it we can find it
Answer:

Step-by-step explanation:
Rate of change is another term for the slope.
rate of change = slope = (change in y)/(change in x)
<u>Function A:</u>
y = mx + b (m = slope)
y = 4x - 3
Function A has a slope of 4.
The rate of change for function A is 4.
<u>Function B:</u>
Take two points.
(-1, 0) and (1, 4)
slope = (y2 - y1)/(x2 - x1)
slope = (4 -0)/(1 - -1)
slope = 4/2 = 2
The rate of change for function B is 2.
Now,
G - Ginny's age.
P=G+8, Percy's age.
In 10 years,
G + 10 - Ginny's age in 10 years.
P+10 - Percy's age in 10 years.
<span> In ten years time Percy (P+10) will be three times Ginnys present age (3G).
P+10=3G
Now we have 2 equations, and we can write a system of equations.
</span>(1) P=G+8
(2) P+10=3G -------> G=(P+10)/3, we need to substitute it into equation 1.
( P=(P+10)/3+8) /*3
3P=P +10+24
2P = 34
P = 17
Percy is 17 years old now.
Check,
P=17, G=17-8=9
P+10=3G , 17+10=3*9, 27 = 27 True
Answer:
-6
Step-by-step explanation:
Answer:
x = 7.5
Step-by-step explanation:
Dilation is a transformation in which the size of a given figure is either increased or decreased by a scale factor.
Given that the length of sides of the smaller triangle are; 5, 13, 12.
Given also that the length of the dilated triangle are; x, blank, 18.
Comparing the length of the last sides of the two triangles, we have;
(scale factor x 12) + 12
= (
x 12) + 12
= 6 + 12
= 18
Thus the scale factor for the dilation is
. So that:
x = (
x 5) + 5
= 2.5 + 5
= 7.5
x = 7.5
And also,
blank = (
x 13) + 13
= 6.5 + 13
blank = 19.5
Therefore, the length of the sides of dilated triangle are: 7.5, 19.5, 18