Answer:
To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image.
Step-by-step explanation:
Answer:
y=2x-1
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
let the number be x
9x-8=6+2x
9x-2x=6+8
7x=14
x=14/7
x=2
Solve algebrically 3x - 4y = -24 and x + 4y = 8 is x = -4 and y = 3
<u>Solution:</u>
We have been given two equations which are as follows:
3x - 4y = -24 ----- eqn 1
x + 4y = 8 -------- eqn 2
We have been asked to solve the equations which means we have to find the value of ‘x’ and ‘y’.
We rearrange eqn 2 as follows:
x + 4y = 8
x = 8 - 4y ------eqn 3
Now we substitute eqn 3 in eqn 1 as follows:
3(8 - 4y) -4y = -24
24 - 12y - 4y = -24
-16y = -48
y = 3
Substitute "y" value in eqn 3. Therefore the value of ‘x’ becomes:
x = 8 - 4(3)
x = 8 - 12 = -4
Hence on solving both the given equations we get the value of x and y as -4 and 3 respectively.
Answer:
36, 29, 22, 15, 8
Step-by-step explanation:
Step 1: State known information
First difference is -7
Third term of the sequence is 22
Step 2: Find first 5 terms
You just need to add and subtract 7 to 22 and the answer 5 times
1. 36 +7
2. 29 +7
3. 22 <- We know 22 is the 3rd term
4. 15 -7
5. 8 -7
Therefore the first 5 terms of the sequence is 36, 29, 22, 15, 8