Answer:
r < -7 or r > 10
Step-by-step explanation:
-2|3 - 2r| < -34
|3 - 2r| > 17 (Note the inequality sign flips because we divide by negative)
Now we split it up into 2 inequalities :-
3 - 2r > 17
-2r > 14
r < -7 (answer)
and
3 - 2r < -17
-2r < -20
r > 10 (answer).
The equation of line parallel to given line is: y=4x-31
Step-by-step explanation:
Given equation of line is:
The equation of line is in slope-intercept form so the co-efficient of x is the slope of the line.
Let m1 be the slope of the given line
then
m1 = 4
Let m2 be the line that is parallel to given line
As we know that the slopes of parallel lines is equal so
m1=m2 = 4
The slope-intercept form of equation of line is:
Putting the value of slope
to find the value of b, putting (5,-11) in the equation
Putting the value of b
Hence,
The equation of line parallel to given line is: y=4x-31
Keywords: Equation of line, slope
Answer:
9:12 and 12:16
Step-by-step explanation:
3/4 = 0.75
9/12 = 0.75
12/16 = 0.75
Answer:


Step-by-step explanation:
We are given that two angles are supplementary .
We have to write an equation that can be used to find the measures.
Let x and y are supplementary
According to question
( by definition of supplementary angles)

Substitute the value then we get





Substitute the value then, we get



Answer: x=-4
Step-by-step explanation: