Mathematics, 22.07.2019 05:00 hftyd2046

One line passes through the points (−12,16) and (-1, 38). a second line has the equation 2y+x=23. are these lines parallel, perpendicular, or neither? discuss your solution strategy and then implement it to demonstrate your answer.

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The lines are ...
perpendicular.

_____
The solution strategy is to use linear regression to find the line through the given points, then plot the given line on the same graph. The result from the linear regression shows the slope of the line between the points is 2. The given line has slope -1/2. The product of these slopes is -1, so the lines are perpendicular.

The equation of the line through the points can also be written using the 2-point form of the equation for a line.
y = (y2 -y1)/(x2 -x1)*(x -x1) +y1
y = (38 -16)/(-1 -(-12))*(x -(-12)) +16
y = 22/11*(x +12) +16
y = 2x +40 . . . . . . . . slope = 2, y-intercept = 40.

When the equation for the given line is rearranged to solve for y, you see the slope of it is -1/2.
2y +x = 23
2y = -x +23
y = (-1/2)x +23/2 . . . . . . . . . slope = -1/2, y-intercept = 23/2.
One line passes through the points (−12,16) and (-1, 38). a second line has the equation 2y+x=23. ar

One line passes through the points (−12,16) and (-1, 38). a second line has the equation 2y+x=23. ar

Answer from: Quest

exa:

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3+11

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.

Answer from: Quest

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

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One line passes through the points (−12,16) and (-1, 38). a second line has the equation 2y+x=23. ar...