Answer:
X(-64/3, 0) 8/3
Step-by-step explanation:
We can set this up using a system of inequality
16/8 = x/-8
We do this because we know whatever scaled 0,6 to become 0,16 will scale -8,0 to become x,0. Since we know that the Y value will remain 0, we can plug in x.
So,
16/8 = x/-8, cross multiply to get 6x = -128
divide to get x = -128/6 and reduce for -64/3
the scale factor is 16/6, which reduces to 8/3
Answer:
The value is
Step-by-step explanation:
From question we are told that
The population in the first year is
The population in the next year is
Generally the growth rate is mathematically represented as
First, we calculate the lengths of each line using the
distance formula.
AB = (3 - -5) = 8
CA = (1 - -5) = 6
CB can be calculated using the hypotenuse equation:
CB = sqrt (AB^2 + CA^2)
CB = sqrt (8^2 + 6^2)
CB = 10
The perimeter is therefore:
perimeter = AB + CA + CB = 8 + 6 + 10
perimeter = 24 units
Abswer:
C. 24 units
A) There could be 5 different choices
b) There could be 6 different choices
Answer:
Number of trucks = 28
Number of cars = 14
Number of SUVs = 46
Total number of vehicles = 88
Step-by-step explanation:
Let T = the number of trucks, C = the number of cars, and S = the number of SUVs washed.
We are told :
They washed twice as many cars as trucks.
Hence: T = 2C
They washed a total of 28 trucks and cars and SUVs
Number of trucks = 28
Number of Cars =
T= 2 C
C = T/2
C = 28/2
C = 14
The number of trucks washed was 2 fewer than half the total number of cars and SUVs washed.
T = 1/2(C + S) - 2
T = 28
C = 14
Hence:
28 = 1/2(14 + S) - 2
28 = 1/2(14) + 1/2(S) - 2
28 = 7 - 2 +S/2
28 - 7 + 2 = S/2
30 - 7 = S/2
23 = S/2
S = 23 × 2
S = 46
Hence, number of SUVs = 46
Total number of vehicles = 28 + 14 + 46
= 88