Answer: 45 / 40 ft
Step-by-step explanation:
Given that She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor?
Actual width of shorter side = 45 ft
New width of shorter side = 40 ft
Scale factor is the ratio of the actual length to the new or intended length
Scale factor = Actual width / New width
Hence, scale factor :
45 ft / 40 ft
Answer:l and ll
Step-by-step explanation:
Answer:
(-5,-3)
(1,3)
Step-by-step explanation:
Solving with substitution
Set both equations to y = ...
y = x^2 + 5x - 3
----------------
y - x =2
y = x + 2
----------------
Substitute one of the Y's with the other Y = equation.
x + 2 = x ^2 + 5x -3
Set one side to 0
0 = x^2 + 4x -5
x^2 + 4x - 5 = 0
Simplify by factoring
(x-1) (x+5)
Get your X values
x-1 = 0
x = 1
x+5 = 0
x = -5
Plug in each X into one of the equations to get your Y value.
1st X
y = x + 2
y = 1 + 2
y = 3
When X = 1, Y = 3
2nd X
y = x + 2
y = -5 + 2
y = -3
When X = - 5, Y = -3
Your answers are (1,3) and (-5,-3)
Answer: Additional interest of $521.82 with a simple interest loan to sister generate.
Step-by-step explanation:
Since we have given that
Principal = $28000
Rate of interest at simple interest = 8%
Number of year = 1
so, Interest becomes,

Rate of interest compounded quarterly = 6%
Amount becomes,

So, Interest would be

Hence, Additional interest is given by

Hence, Additional interest of $521.82 with a simple interest loan to sister generate.