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3 years ago

Line s has a slope of 7/4. Line t is perpendicular to s. What is the slope of line t?

Mathematics

1 answer:

lora16 [44]3 years ago

5 0

Answer:

Step-by-step explanation:

The formula governing this situation is

m1 * m2 = - 1

Method One

So let m1 = 7/4

(7/4)*m2 = - 1 Multiply by 4

7*m2 = -1*4 Divide by 7

m2 = -4/7

Method Two

Most people teaching this try to get you to use reciprocals. If you know how to do that then the answer is much simpler.

7/4 m2 = -1 Multiply by 4/7

4/7 * 7/4*m2 = - 1 * 4/7

m2 = -4/7

However if you are not comfortable with reciprocals, then then the thing to do is to handle them the way I showed you in the first method.

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3 years ago

Which ordered pairs are solutions to the inequality y−2x≤−3?

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we will proceed to resolve each case to determine the solution

we have

$y-2x \leq -3$

$y\leq2x-3$

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

case a) $(5,-3)$

Substitute the value of x and y in the inequality

$-3\leq2*5-3$

$-3\leq7$ -------> is true

The ordered pair $(5,-3)$ is a solution

case b) $(0,-2)$

Substitute the value of x and y in the inequality

$-2\leq2*0-3$

$-2\leq-3$ -------> is False

The ordered pair $(0,-2)$ is not a solution

case c) $(-6,-3)$

Substitute the value of x and y in the inequality

$-3\leq2*-6-3$

$-3\leq-15$ -------> is False

The ordered pair $(-6,-3)$ is not a solution

case d) $(1,-1)$

Substitute the value of x and y in the inequality

$-1\leq2*1-3$

$-1\leq-1$ -------> is True

The ordered pair $(1,-1)$ is a solution

case e) $(7,12)$

Substitute the value of x and y in the inequality

$12\leq2*7-3$

$12\leq11$ -------> is False

The ordered pair $(7,12)$ is not a solution

Verify

using a graphing tool

see the attached figure

the solution is the shaded area below the line

The points A and D lies on the shaded area, therefore the ordered pairs A and D are solution of the inequality

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