167,343,000 my dear friend
The sum of the distances of R to Q and P to Q is 9 units.
Solution:
Given points are P(–3, 6), Q(3, 6) and R(3, 3).
Distance between two points formula:
Distance from R to Q:
Here 
Substitute these in the given formula, we get
Distance = 
= 3 units
Distance from R to Q is 3 units.
Distance from P to Q:
Here 
Substitute these in the given formula, we get
Distance = 
= 6 units
Distance from P to Q is 6 units.
Sum of the distances = 3 + 6 = 9 units
Hence the sum of the distances of R to Q and P to Q is 9 units.
Answer:
z = 104 degrees
y = 34 degrees
Step-by-step explanation:
The angle to the left of z must be 76 Degrees as it’s an alternating angle with the 76 Degree angle on the left. It must combine with z to form 180 degrees so it’s 104 degrees.
The angle below z must also combine with z to give 180 degrees so it’s 76.
5y - 94 = 76
5y = 76 + 94
5y = 170
Y = 170/5
y = 34
Answer:
y=3x+9
Explanation:
To answer this question, we first have to understand a few key concepts.
1) The equation given (y=3x+9) is written in slope-intercept form, which is y=mx+b.
Heres what the variables mean:
Y=the coordinate
M=the slope
X=the x coordinate
B=the y-intercept (the point on the line that intercepts the y-axis)
2) Parallel lines have the same slope. Using the given equation, we now know that the slope of line s is 3. Therefore, the slope of line t is also 3 (because they are parallel).
So now, this is our equation so far:
y=3x+b
All we need to do now is find b, which we can do by plugging in the coordinate (-6,-9) as the x and y variables.
y=3x+b
-9=3(-6)+b
-9=-18+b
Add 18 to both sides
-9+18=-18+b+18
9=b
And when we plug 9 into y=3x+b, we get:
y=3x+9
(And yes, they are pretty much the same line)
I hope this helps! Please comment if you have any questions.
