ANSWER
8 units.
EXPLANATION
The first point, A is located at (-9,2) on the coordinate plane.
The second point, B is also located at (-9,10) on the coordinate plane.
You should be smart and observe that the x-coordinates of both points are the same. This means that, the two points lies on a vertical line.
Hence it will be faster to use the absolute value method rather than the distance formula.
According to this method, you only have to find the absolute value of the difference in the y-values.

Answer:
See the attached pictures.
Step-by-step explanation:
See the attached pictures for detailed explanation.
Answer:
slope = -3/4
using the formula
y -y1 = m(x -x1)
y -1 = -3/4(x -(-8))
y -1 = -3/4(x +8)
cross multiply
4(y -1) = -3(x +8)
4y -4 = -3x -24
4y = -3x -24 +4
4y = -3x -20
divide both sides by 4
y = -3/4 x -5 (equation of the line)
Answer:
x = 9
Step-by-step explanation:
Both the triangles are similar, so the corresponding sides are also similar.
That is,
12 / 8 = x / 6
Cross multiply,
x * 8 = 12 * 6
8x = 72
Divide 8 on both sides,
x = 72 / 8
x = 9
Step-by-step explanation:
So the answer for 33+45+78 is 156.
If you want to check that, you can use inverse operations, so subtract.
156-78=78. (Check 78)
78-45=33 (Check 45 and 33)
Well, now it's checked because we used all the factors of the equation!