Original
(-1,1) (-4,1) (-4, 4)
<span> translation (x, y) to (x + 1, y - 4)
</span>(0,-3) (-3,-3) (-3, 0)
answer
(0, -3), (-3, -3), (-3, 0)
Answer:
Step-by-step explanation:
Simplifying
5(2x + -6) + 20 = 10
Reorder the terms:
5(-6 + 2x) + 20 = 10
(-6 * 5 + 2x * 5) + 20 = 10
(-30 + 10x) + 20 = 10
Reorder the terms:
-30 + 20 + 10x = 10
Combine like terms: -30 + 20 = -10
-10 + 10x = 10
Solving
-10 + 10x = 10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 10x = 10 + 10
Combine like terms: -10 + 10 = 0
0 + 10x = 10 + 10
10x = 10 + 10
Combine like terms: 10 + 10 = 20
10x = 20
Divide each side by '10'.
x = 2
Simplifying
x = 2
Plug it into point-slope form.
y - y1 = m(x - x1)
Where y1 is the y-value of the point, x1 is the x-value, and 'm' is the slope.
So plug in -1 for x1, 2 for y1, and 0.9 for 'm':
y - 2 = 0.9(x + 1)
Simplify to get in slope-intercept form:
Distribute 0.9 into the parenthesis:
y - 2 = 0.9x + 0.9
Add 2 to both sides:
y = 0.9x + 2.9
Step-by-step explanation:
5y + 3 > -7y + 13
12y > 10
y > 10/12
y > 5/6
