Answer:
Supplementary angles add to 180 degrees.
Angles of a triangle add to 180 degrees.
So, the angles of this triangle are 2x, 3x, and 70.
This means we can have the equation: 5x+70=180, and 5x=110, meaning that x=22
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The slope of the line that is perpendicular to 6x + 2y = -32 is: 1/3.
<h3>What is the Slope of Perpendicular Lines?</h3>
The slope of two lines that are perpendicular to each other will always have a product that is equal to -1, which means that their slopes are negative reciprocals to each other.
Rewrite 6x + 2y = -32 in slope-intercept form:
2y = -6x - 32
2y/2 = -6x/2 - 32/2
y = -3x - 16
The slope is -3. Negative reciprocal of -3 is 1/3.
Therefore, the slope of the perpendicular line would be: 1/3.
Learn more about the slope of perpendicular lines on:
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Answer:
(10, - 9 )
Step-by-step explanation:
Given the 2 equations
y = - 2x + 11 → (1)
y = - 3x + 21 → (2)
Substitute y = - 2x + 11 into (2)
- 2x + 11 = - 3x + 21 ( add 3x to both sides )
x + 11 = 21 ( subtract 11 from both sides )
x = 10
Substitute x = 10 into either of the 2 equations and evaluate fir y
Substituting into (1)
y = - 2(10) + 11 = - 20 + 11 = - 9
solution is (10, - 9 )
Answer:
Y=6x-4
Step-by-step explanation:
Y=mx+b
in this cace we have m- the slope
Y=6x+b
now we can plug in the coordinates to solve for b- the y intercept
(1,2) 1 being the x value, and 2 being the y value
2= 1·6+b
2=6+b
-4=b
now we take our previous equation, and add to it
Y=6x-4
