Solve for x:
4 (6 x + 1) - 3 (4 x + 3) = 43
-3 (4 x + 3) = -12 x - 9:
-12 x - 9 + 4 (6 x + 1) = 43
4 (6 x + 1) = 24 x + 4:
24 x + 4 - 12 x - 9 = 43
Grouping like terms, 24 x - 12 x - 9 + 4 = (24 x - 12 x) + (4 - 9):
(24 x - 12 x) + (4 - 9) = 43
24 x - 12 x = 12 x:
12 x + (4 - 9) = 43
4 - 9 = -5:
12 x + -5 = 43
Add 5 to both sides:
12 x + (5 - 5) = 5 + 43
5 - 5 = 0:
12 x = 43 + 5
43 + 5 = 48:
12 x = 48
Divide both sides of 12 x = 48 by 12:
(12 x)/12 = 48/12
12/12 = 1:
x = 48/12
The gcd of 48 and 12 is 12, so 48/12 = (12×4)/(12×1) = 12/12×4 = 4:
Answer: x = 4
Answer:
answer is y^2-6y+9
Step-by-step explanation:
first take out the value of x from equation 1 which is x=(2-y)
then put the value of x in equation 2 u will get ur answer as y^2-6y+9
<span>The Selected correct answers are.
Circle Q is a dilation of circle P with a scale factor of 7.
Circle Q is a translation of circle P, 6 units up.</span>
To find the length of segment AC, we must find the total rise and total run between the two points.
Point C is located at (-5, 5). Point A is located at (3,-1). To find the rise, subtract the y-value of A from the y-value of C:

The rise of this segment is 6.
To find the run, subtract the x-value of A from the x-value of C:

The run of this segment is 8.
We can use the Pythagorean Theorem to find the length of this segment. The theorem uses the following formula:

The segment represents the hypotenuse, and the rise and run represent the legs of this segment. We know that the two legs' lengths are 6 and 8, so plug them into the equation:



Square root both sides to get c by itself:


The length of segment AC is
10.