Answer:
1 = x
Step-by-step explanation:
x-5(x-1) = x-(2x-2)
First, you distrubute your numbers. On the left side, multiply the parentheses by '5', and on the right side multiply the perentheses by '-1'. It should look something like this:
x-5x+5 = x-2x+2
Now, you need to combine like terms. On the left side combine the 'x' and the '-5x'. On the right side combine the 'x' and the '-2x'. It should now look like this:
-4x+5 = -x+2
You need to isolate your variable. Working with positive variables is preferable and can decrease chances of confusion, so add '4x' to both sides, therefore canceling the '-4x' on the left and moving it to the right. It will now look like this:
5 = 3x+2
Subtract '-2' from both sides to get the '3x' by itself. It looks like this:
3 = 3x
For the final step, you want the x by itself. To do this, divide both sides by '3'. This will effectively cancel the '3' on the right side, moving it away from your variable. Your equation should end up being this:
1 = x
Hope this helps!
Answer:
Two. f = -13 or f = 17
Step-by-step explanation:
|f − 2| − 2 = 13
|f − 2| = 13 + 2
|f − 2| = 15
f − 2 = ±15
f = 2 ±15
f = 2 + 15 = 17 OR f = 2 - 15 = -13
Answer:
x=39
Step-by-step explanation:
Answer: y = 2x + 20
Step-by-step explanation: slope, y2 - y1/x2 - x1
replace it with these numbers 120 - 60/50 - 20=60/30
than,simplified it we get 2/1. so, now we have the slope of our equation
y = 2x + b. but we still have b (or where the y intersects.) now are slope we have to change it to 1/2 because we are going backwards. So multiply 60 by .5, Thus will give us 30
Now we have y = 2x + 30, But that's not one of your answer,
So y = 2x + 20 cant be -20 because this is a positive y intersect and We know it is a slope of 2.
Therefore the answer is : y = 2x + 20
ALSO I got it correct on the test!!
Answer:

Step-by-step explanation:
Given
In ABC;


Required
Determine side F
In the given question;
DEF is a dilation of ABC
Comparing both triangles side by side,
Side F is a direct dilation of side C and this is calculated as follows


