Step-by-step explanation:
6(x+16)-23=37
6x+96-23=37
6x+73=37
6x=-36
x=-6
Answer:
0.0133
Step-by-step explanation:
Set up the long division.
225 | 3
2 Calculate 300 ÷ 225, which is 1 with a remainder of 75.
0 . 01
_____
225 | 3.
2 . 25
__
75
3 Bring down 0, so that 750 is large enough to be divided by 225.
0 . 01
_____
225 | 3.
2 . 25
__
750
4 Calculate 750 ÷ 225, which is 3 with a remainder of 75.
0 . 013
______
225 | 3.
2.25
__
750
675
___
75
5 Bring down 0, so that 750 is large enough to be divided by 225.
0. 0 1 3
_______
225 | 3.
2.25
__
750
675
_____
75
6 Calculate 750 ÷ 225, which is 3 with a remainder of 75.
0 . 0133
_______
225 | 3.
2. 25
__
750
675
___
750
675
___
75
7 Therefore, 3 ÷ 225 ≈ 0.0133.
Answer: 0.0133
The dashed triangle is the image of the pre-image solid triangle.
It's enlargement so scale factor has to be greater than 1
SF = 6/3
SF = 2
Answer
The scale factor used to create the dilation is 2
The difference between the two given equations is that 1 is subtracted from 2x in the first equation while this is missing from the second. If we are going to add 1 to both sides of the first equation, we get the answer of,
y + 1 = 2x - 1 + 1
y + 1 = 2x
As we can see, the equation above is similar to y = 2x except that +1 is added to the y value. Thus, your graph is translated 1 unit up.
