-2(x + 3) = -2(x + 1) - 4
-2x - 6 = -2x - 2 - 4 <em>distributed -2 on the left and on the right</em>
-2x - 6 = -2x - 6
<u>+2x </u> <u>+2x </u>
-6 = -6
TRUE
Since this is a true statement, there are infinite solutions (aka All Real Numbers)
Answer: C
91 / 7
7 fits within 9 only once, so the first number is 1
you have two left over
drop the one from 91 down, so you have to figure out how many times 7 goes into 21
it goes in 3 times
so the answer is 13
_1____
7 | 91
- 7
-----
2 1
_13__
7 | 91
- 7
-----
2 1
2 1
-------
0
29 - 82
since 82 is bigger than 29, you will be getting a negative number.
if you did 82 - 29 it would be 53
but after you hit zero, it is 52 below zero, so the answer is -53
Answer:
60
Step-by-step explanation:
Let x= measure of angle 1
Let y= measure of angle 2
This is solving a system of equations
3x=30+ 5y which can also be written
3x-5y=30, and
2x+2y=180
There are a few ways to solve this, like solving for x in one of the equations and plugging it in for x in the other equation, but here is another way:
2(3x-5y)=2*30
3(2x+2y)= 3*180
6x-10y=60
6x+6y=540, and now subtract to get rid of x
0-16y=-480
Y=30
Plug it back in to either equation and you get x=60
Given that <span>∆ABC rotates around point D to create ∆A′B′C′.
</span>
<span>Line BC is a horizontal line such that the length of BC is 2 units. Also line AB is a vertical line such that the length of AB is 3 units.
Based on the position of B'C', shown in the figure, the coordinates of A′ are will be vertical to the cordinate of B' going downwards with a length of 3 units. This means that the x-value of the coordinate of A' is the same as that of B' but the y-value of the coordinate of A' is 3 units less than that of B'.
The coordinate of B' is (4, 4).
Therefore, the coordinate of A' is (4, 4 - 3) = (4, 1).</span>