Answer:
(7, -6)
Step-by-step explanation:
You want to find point X on the segment from A to B such that ...
(X -A)/(B -X) = 3/2
2(X -A) = 3(B -X) . . . . . . cross multiply
2X -2A = 3B -3X . . . . . eliminate parentheses
5X = 2A +3B . . . . . . . . add 3X +2A
X = (2A +3B)/5 . . . . . . . divide by 5
Filling in the given points for A and B, we have ...
X = (2(4, -3) +3(9, -8))/5 = (8+27, -6-24)/5 = (35, -30)/5
X = (7, -6)
The point that divides the segment in the proportions 3:2 is (7, -6).
Answer:
Cost of one rocket = $1.5
Step-by-step explanation:
Given:
6 rockets and 11 bombs cost = $36.50
14 rockets and 8 bombs cost = $41
Find:
Cost of one rocket
Computation:
Cost of one rocket = x
Cost of one bomb = y
So,
6x + 11y = 36.50.....eq1
14x + 8y = 41......eq2
From eq1
y = [36.50 - 6x]/11
From eq2
14x + 8y = 41
14x + 8[36.50 - 6x]/11 = 41
x = 1.5
Cost of one rocket = $1.5
Answer:
Image A shows a reflection.
Answer:
L = w+2
L+w = 60
W+2+w = 60
2w+2 = 60
W+1 = 30
W = 29
L = 31
If a triangle equals 180, than what you want to do is add all of the numbers together. 33+21+28= 82.
After that what you want to do is subtract that by the total of the triangle "180"
180-82=98.
I believe 98 is the answer
