To solve this, you’ll first need to solve for their slopes.
The slope for line Q is y2-y1/x2-x1 = -8-(-2)/-8-(-10) = -3
We know that the lines are perpendicular so the negative reciprocal of -3 is 1/3
The equation you get it y = 1/3x + b.
Now you will need to solve for b by substituting in the first ordered pair of line R.
2 = 1/3(1) + b.
Once you solve for b, you should get 5/3 and y = 1/3x + 5/3
Now, to find a, you will need to substitute in 10 from the second ordered pair into x in your new equation.
y = 1/3(10) + 5/3.
Your solution should be 5.
So your answer is: a = 5
.......,,,,,....,..,....,.
Answer:
27 : 8
Step-by-step explanation:
Given 2 similar figures with ratio of sides a : b, then
ratio of areas = a² : b² and
ratio of volumes = a³ : b³
Here the ratio of areas = 9 : 4, thus
ratio of sides =
:
= 3 : 2
ratio of volumes = 3³ : 2³ = 27 : 8
Answer:
RS = 4.8
OT = 3.6
From the Pythagorean Theorem we know:
OR^2 = ST^2 + OT^2
OR^2 = 4.8^2 + 3.6^2
OR ^2 = 23.04 + 12.96
OR^2 = 36
OR = 6
Step-by-step explanation:
Answer:
18
Step-by-step explanation: