Answer:
The length of segment AC is two times the length of segment A'C'
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
Let
z ----> the scale factor
A'C' ----> the length of segment A'C'
AC ----> the length of segment AC
so
we have that
---> the dilation is a reduction, because the scale factor is less than 1 and greater than zero
substitute
therefore
The length of segment AC is two times the length of segment A'C'
The new equation is
<em>Y = (x-8)² </em>.
The other way to write it is like this: (you might not recognize it in this form)
Y = x² - 16x + 64
Answer:
x = 2, x = 4
Step-by-step explanation:
The equation y = 10 - 9x is a linear equation and the value of either y or x can be found by substituting the given values of either y or x.
given that y = -8, and substituting this into equation y = 10 - 9x,
we have, -8 = 10 - 9x
10 + 8 = 9x
9x = 18; dividing both sides by 9
x = 2
given that y = -26, and substituting this into equation y = 10 - 9x,
we have, -26 = 10 - 9x
10 + 26 = 9x
9x = 36; dividing both sides by 9
x = 4
Answer:
A(10) = $13,961.50
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 5.25/100
r = 0.0525 rate per year,
Then solve the equation for A
The formula is given as:
A = Pe^rt
P = 8259
r = 0.0525
t = 10 years.
Hence,
A = 8,259.00 × e^(0.0525×10)
A = $13,961.50
Therefore, the money that will be in the account after 10 years is $13,961.50
Answer:
(8, 20)
Step-by-step explanation:
Let's input each values of the ordered pair given as options to see which one satisfy the equation y = 16 + 0.5x
==>Option 1: (0, 18)
18 = 16 + 0.5(0)
18 = 16 + 0
18 ≠ 0
Option 1 is incorrect.
==>Option 2: (5, 19.5)
19.5 = 16 + 0.5(5)
19.5 = 16 + 2.5
19.5 ≠ 18.5
Incorrect.
==>Option 3: (8, 20)
20 = 16 + 0.5(8)
20 = 16 + 4
20 = 20
CORRECT
==>Option 4: (10, 21.5)
21.5 = 16 + 0.5(10)
21.5 = 16 + 5
21.5 ≠ 21
Incorrect.
The answer is (8, 20)
