Answer:
The length of shortest side is
Step-by-step explanation:
Let
we know that
the formula to calculate the distance between two points is equal to
step 1
Find the distance AB
substitute in the formula
step 2
Find the distance BC
substitute in the formula
step 3
Find the distance AC
substitute in the formula
Compare the length sides
The length of shortest side is
Answer:
Miguel:
b = 2000 - 250m
Bartholomew:
b = 1500 - 150m
When m = 5
Step-by-step explanation:
Let
m = The number of months
b = balance on the credit card account in dollars.
Miguel owes $2000 and makes a monthly payments, reducing his debt by $250 per month.
Miguel:
b = 2000 - 250m
Bartholomew owes $1500 and makes monthly payments, reducing his debt by $150 per month
Bartholomew:
b = 1500 - 150m
When will Miguel and Bartholomew owe the same amount of money?
Miguel balance = Bartholomew balance
2000 - 250m = 1500 - 150m
2000 - 1500 = -150m + 250m
500 = 100m
m = 500/100
m = 5 months
1.) -15.9, -15.2, -3.6, 3.6
2.) second one is already correct
3.)-2.3, -2.03, 2.03, 3.0
Answer:
Hypotenuse = 14 inches
Adjacent = 12.12 inches
Step-by-step explanation:
Using SOH, CAH TOA Method
According to SOH
Sin(theta) = Opposite/Hypotenuse
Given theta = 30°
Opposite = 7 inches
Sin30° = 7/Hypotenuse
Hypotenuse = 7/Sin30°
Hypotenuse = 7/0.5
Hypotenuse = 14 inches
The other leg will be the adjacent saying x using Pythagoras Theorem to get x
Hypotenuse^2 = Opposite^2 + Adjacent^2
14^2 = 7^2 + x^2
x^2 = 14^2 - 7^2
x^2 = 196 - 49
x^2 = 147
x = sqrt of 147
x = 12.12 inches
Rearrange the first equation so it matches the second equation and then use elimination method to solve. Or substitute 2x-5 for y into the second equation and solve. You will end up with one of the following:
--> x = some value and y = some value (ONE SOLUTION)
--> A True statement, such as 0 = 0, or 1=1, etc (INFINITELY MANY SOLN'S)
--> A False statement, such as 0 = 1, or 5 = 7, etc (NO SOLUTIONS)
Using substitution method:
-8x - 4(2x - 5) = -20
-8x - 8x + 20 = -20
-16x = -40
x = -40/16
Answer: One Solution