Answer:
The volume of the dilated prism is 
.
Step-by-step explanation:
The original prism has base area 
and a height of 
.
The volume of the original prism is 
.
The prism is dilated by a scale factor of 
.
To find the volume of the dilated prism, we multiply the volume of the original prism by 
.
Can you post another picture cant see full question
GEORGIA......there is only one " I " .....and a total of 7 letters
probability of picking " I " is 1/7
Answer:
The answers are that a = -5 and b = 1
Step-by-step explanation:
In order to find A and B, we first need to find the equation of the line. We can do this by using two ordered pairs and the slope formula. For the purpose of this activity, I'l use (0, 5) and (-3, 11)
m(slope) = (y2 - y1)/(x2 - x1)
m = (11 - 5)/(-3 - 0)
m = 6/-3
m = -2
Now that we have this we can model this using point-slope form.
y - y1 = m(x - x1)
y - 5 = -2(x - 0)
y - 5 = -2x
y = -2x + 5
Now that we have the modeled equation we can use the ordered pair (a, 15) to solve for a.
y = -2x + 5
15 = -2(a) + 5
10 = -2a
-5 = a
And we can also solve for b using the ordered pair (2, b)
y = -2x + 5
b = -2(2) + 5
b = -4 + 5
b = 1
