Mathematics, 13.11.2019 20:31, jonloya264

Given p(12,-2), q(5,-10), r(-4,10) and s(4,y), find the value of y so that line pq is perpendicular to line rs

Answers: 3

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answered: croxy0514

The value of y is 3.

Step-by-step explanation:

Given points: P(12,-2), Q(5,-10), R(-4,10) and S(4,y).

We need to find the value of y so that line PQ is perpendicular to line RS.

Slope formula:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Slope of PQ is

$m_{PQ}=\dfrac{-10-(-2)}{5-12}=\dfrac{-8}{-7}=\dfrac{8}{7}$

Slope of RS is

$m_{RS}=\dfrac{y-10}{4-(-4)}=\dfrac{y-10}{8}$

The product of slopes of two perpendicular lines is -1.

$m_{PQ}\times m_{RS}=-1$

$\dfrac{8}{7}\times \dfrac{y-10}{8}=-1$

$\dfrac{y-10}{7}=-1$

y-10=-7

Add 10 on both sides.

y=-7+10

y=3

Therefore, the value of y is 3.

answered: Guest

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation:

answered: Guest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

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Given p(12,-2), q(5,-10), r(-4,10) and s(4,y), find the value of y so that line pq is perpendicular...