Answer:
y=66
Step-by-step explanation:
(y-31)+(180-(y+35))+y=180
y-31+145-y+y=180
y=180-114
y=66
In this question, you are only able to cancel out the (x + 5). The others are unable to be cancelled.
Answer:
1/72
Step-by-step explanation:
2^-3 = 1/2^3 = 1/8
3^-2 = 1/3^2 = 1/9
1/8 x 1/9 = 1/72
Answer:
y ≥ -x +2
Step-by-step explanation:
The solid line has a slope of -1 and a y-intercept of 2, so its equation in slope-intercept form is ...
y = -x +2
The shaded area is above this line, and the line is part of the solution set, so we want an inequality that has "y" and the comparison symbol in this order: "y ≥" or "≤ y".
We already have an equation with "y" on the left, above, so we just need to introduce the comparison symbol:
y ≥ -x +2
Another way to write this is ...
x + y ≥ 2
Answer:
Option C
Step-by-step explanation:
If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.
Let's try this with option C. To make things easier, convert -4.5 into decimal form: 
. Substitute for x and 10 for y in the equation, then solve:
10 does equal 10, so this is a true statement. Option C is the right answer.
