Answer:
C'A' = 10units (A)
Question
A complete question related to this found at brainly(question ID 2475535) is stated below.
Triangle ABC was dilated using the rule Dy, 5/4
If CA = 8, what is C'A'?
10 units
12 units
16 units
20 units
Step-by-step explanation:
Given:
Scale factor = 5/4
CA = 8units
Find attached the diagram for the question.
This is a question on dilation. In dilation, figures have the same shapes but different sizes.
Y is the center of dilation
Lengths of ∆ABC: CB, AB, CA
Lengths of ∆A'B'C': C'B', A'B', C'A'
C'B' = scale factor × CB
A'B' = scale factor × AB
C'A' = scale factor × CA
C'A' = 5/4 × 8
C'A' = 40/4
C'A' = 10units (A)
Answer:
1
Step-by-step explanation:
To complete the square, first you must make sure that the coefficient of the x^2 term is 1. Here you have x^2 - 2x - 37 = 0. Since the x^2 term is simply x^2, you do have a coefficient of 1 for the x^2 term.
To find the number you need to add to complete the square, take the coefficient of the x term. Divide it by 2. Then square it.
The x term is -2x. The coefficient of the x term is -2.
Take half of -2 which is -1.
Now square -1 to get 1.
You need to add 1 to complete the square.
brainliest?!?!yes
Answer:
Option B is correct that is amount she is getting per bottle is $0.15
Step-by-step explanation:
We have been given the information that melisande collected 14 bottles on saturday and 9 bottles on sunday
That means she has collected total of 23 bottles
Let us assume that the amount she is paid for recycling is $b
Since, she is left with $3.20 after the amount she gets for bottles we will get the equation below:
23b=3.20
Now, since she has to pay one time service fee equation will become
23b -0.25 =3.20
After simplification we will get
23b=3.20+0.25=3.45
b=3.45/23=.15
b=$0.15
Therefore, The amount she is getting per bottle is $0.15
Answer:
1 gallon
Step-by-step explanation:
Since the relationship is direct, meaning as the number of square feet decreases, the number of gallons also decreases.
3:900 = x:300
solution:
3(300) = 900x
900=900x
x=1
Answer:
23,713
Step-by-step explanation:
27,202 - 3489 = 23,713.
I'm not sure if you meant to put a minus sign at the end, or you just meant to put an equal sign?
Line up the numbers with the largest number on top. Then subtract from the number above it by the number below it. Whenever you need to, you can borrow from the next place value. Ask any questions you need to.