Answer:
If line EF was dilated by a scale of 1/2 from the origin to get line E'F', then if line E'F' is dilated by a scale of 2 from the origin, EF is obtained. Also, the length of EF is double than the length of E'F'.
Dilation by a scale of 2 from the origin transforms point (x,y) into (2*x, 2*y)
E'(1,0) -> E(2,0)
F'(1, 3) ->F(2, 6)
length of E'F': 3
length of EF: 6
The slope intercept form is y=mx+b, and b represents the y-intercept. In the given equation C=45t+100, 100 is the y-intercept. It represents the one-time fee to join the gym membership.
Answer:
x = 2
Step-by-step explanation:
Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.
A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:
.
To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.
Lets x and y are 2 accounts Paige invested
x account invested with annual interest rate 8.5%
y account invested with annual interest rate 10%
x + y =<span>15,250 so x = 15,250 - y
0.085x + 0.1y = </span><span>1,411.75
substitute </span>x = 15,250 - y into 0.085x + 0.1y = 1,411.75
0.085x + 0.1y = 1411.75
0.085(15,250 - y) + 0.1y = 1,411.75
1,296.25 - 0.085y + 0.1y = 1,411.75
0.015y = 115.5
y = 7,700
x = 15,250 - y
x = x = 15,250 - 7,700
x = 7,550
answer
$7,550 invested on account with annual interest rate 8.5%
$7,700 invested on account with annual interest rate 10%
