Answer:
12
Step-by-step explanation:
distribute equation
-2 times k = -2k
-2 times -9 = 18
so -2k+18=-6
solve
subtract 18 from both sides
-2k= -24
divide -2 from both sides
k =12
Answer:
1
Step-by-step explanation:
Slope is change in y over change in x, or rise over run. Plugging these points in, (y2-y1)/(x2-x1)=(2-1)/(2-1), or 1/1, simplifying, the slope= 1.
Answer:
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Step-by-step explanation:
We can start by dividing the inequality by 3 to get ...
8 -4x < 2(x -5)
And we can divide by 2 to simplify further to ...
4 -2x < x -5
Now, we can add 2x+5, which gives ...
9 < 3x
and then divide by 3 again:
3 < x
This is graphed on a number line as described above.
Answer:
x = 34
Step-by-step explanation:
This is a right angle. This means that the square to the bottom right is 90 degrees. There is also an angle that is 124, but that is a linear pair to the angle on the inside. This means that 124+__=180 degrees
180-124= 56
So now we know 2 angles, which are 90 degrees and 56 degrees. Because we know that the sum of the angles of a triangle equal 180 degrees, we can subtract 90 and 56 from 180 to get our answer, 34.
