Answer:
- C) (x − 3)2 = 25
- C) Factor out 4 from 4x2 + 40x.
Step-by-step explanation:
1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.
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2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.
Here, that looks like ...
4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4
4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation
4(x +5)² = 180 . . . . . . . . . . . written as a square
Answer:
C
Step-by-step explanation:
Given
30( 
x - 2) + 40( 
y - 4)
Multiply each of the terms in the first parenthesis by 30 and multiply each of the terms in the second parenthesis by 40.
= 15x - 60 + 30y - 160
= 15x + 30y - 220 → C
This would be SAS. If that’s wrong I’m sorry but it’s the only thing that makes sense, the dashes indicate they are the same and then the circle at the point also indicates that they’re the same so you have two sides and one angle that are the same, so it should be SAS.
Answer:
52 units squared
Step-by-step explanation:
Answer:
Step-by-step explanation:
- For a horizontal compression, we multiply whole numbers greater than 1 in front of
of the given function. - For horizontal expansion, we multiply by the reciprocal of the number for horizontal compression, in front of of the function.
For example,
If we wanted to <u>horizontally compress</u> 
, we would multiply by 4 to get 
, and
if we wante to <u>horizontally expand</u> , we would multiply by 
to get 
Since this question asks for horizontal compression, we multiply the of the function by 4. So the function we need is 
. The second choice is correct.
