Answer:
see below
Step-by-step explanation:
Multiply each of the coordinates by the dilation factor:
A' = (1/2)A = 1/2(6, 4) = (3, 2)
Point A gets transformed to point A'(3, 2), matching choice B.
B)
She started with -6 and ended up with -10 so her score was 4 less than what she started with so it is -4
Answer:
Step-by-step explanation:
To find the value of b, we need to isolate it on one side of the inequality. We can do this by subtracting 2x from both sides, which gives us b > -3 - 2x.
Since we want x to be greater than 3, we can plug in the value 3 for x on the right-hand side of the inequality. This gives us b > -3 - 6, or b > -9.
Therefore, the value of b that makes the inequality true is any value that is greater than -9. For example, b could be -8, -7, -6, or any other value that is greater than -9.
To check if our solution is correct, we can plug in the value of b and the value of x (3) into the original inequality to see if it is true. If we plug in -8 for b and 3 for x, we get the inequality 2x + b > -3, which simplifies to 2 * 3 + (-8) > -3, or 6 - 8 > -3, which is true. Therefore, our solution is correct.
<span>Simplifying
3x + 6 = 2x
Reorder the terms:
6 + 3x = 2x
Solving
6 + 3x = 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
6 + 3x + -2x = 2x + -2x
Combine like terms: 3x + -2x = 1x
6 + 1x = 2x + -2x
Combine like terms: 2x + -2x = 0
6 + 1x = 0
Add '-6' to each side of the equation.
6 + -6 + 1x = 0 + -6
Combine like terms: 6 + -6 = 0
0 + 1x = 0 + -6
1x = 0 + -6
Combine like terms: 0 + -6 = -6
1x = -6
Divide each side by '1'.
x = -6
Simplifying
x = -6
</span>so the answer is x =-6
According to http://www.geteasysolution.com/3x+6=2x
