Answer:
r=2
Step-by-step explanation:
r + 8 r + 11 = 29
( 1 + 8 ) r + 11 = 29 9 r + 11 = 29
Now we can isolate and solve for r while always keeping the equation balanced: First, subtract 11 from each side of the equation:
9 r + 11 − 11 = 29 − 11
9 r + 0 = 18
9 r = 18
Now we can divide each side of the equation by 9 to get
r : 9 over 9 = 18 under 9
1 r = 2
r = 2
Answer:
Step-by-step explanation:
mid point is basically the mean of the x coordiante and the y coordinate. that means that the x coordinate in M, whihc is -1, is the mean of the x coordinate in F and G. the x coordinate in F is -2, so that means that the x coordinate og G must be 0, because 0+(-2) / 2 = -1 so -1 is the x coordinate of G.
To find the y coordinate of G, do the exact same thing. the y coordinate of M is 3, and the y coordinate of F is 5, which means that the Y coordinate of G must be 1. so the points for G are:
(-1,1)
The equation of line perpendicular to given line through (-6,7) is:

Further explanation:
Given equation of line is:

The co-efficient of x is the slope of given line.
Let m1 be the slope of given line
and
m2 be the slope of line perpendicular to given line
Then

Product of slopes of perpendicular lines is -1

The equation of new line can be written as:

Putting m2

To find the value of b, we will put (-6,7) in equation

Putting the values of b and m in general equation

Keywords: Slope, Point-slope form, perpendicular lines
Learn more about perpendicular lines at:
#LearnwithBrainly
Answer:
5x - 2y = - 2
Step-by-step explanation:
Given the 2 equations
- 2x + y = 0 → (1)
- 7x + 3y = 2 → (2)
Subtracting (2) from (1) term by term
- 2x - (- 7x) + y - 3y = 0 - 2, that is
- 2x + 7x - 2y = - 2
5x - 2y = - 2