Consider the line y=7x-8.

Mathematics

1 answer:

Lapatulllka [165]3 years ago

4 0

Answer:

you can just use formula for perpendicular in the second question

m1 . m2 = -1

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The formula for the perimeter of a rectangle is P = 2L + 2W. The length of a rectangle is 3 times its width. Which expression re

omeli [17]

The perimeter of a rectangle is given by the following formula: P = 2W + 2L

To solve this formula for W, the goal is to isolate this variable to one side of the equation such that the width of the rectangle (W) can be solved when given its perimeter (P) and length (L).

P = 2W + 2L

subtract 2L from both sides of the equation

P - 2L = 2W + 2L - 2L

P - 2L = 2W

divide both sides of the equation by 2

(P - 2L)/2 = (2W)/2

(P - 2L)/2 = (2/2)W

(P - 2L)/2 = (1)W

(P - 2L)/2 = W

Thus, given that the perimeter (P) of a rectangle is defined by P = 2W + 2L ,

then its width (W) is given by <span>W = (P - 2L)/2</span>

3 0

3 years ago

The length of the hypotenuse of the right triangle is 25 cm, the length of one of the legs is 10 cm. What is the length of the s

Anna007 [38]

Answer:

21 cm

Step-by-step explanation:

Call the triangle ABC, with the right angle at B, the hypotenuse AC=25, and the given leg AB=10. The altitude to the hypotenuse can be BD. Since the "other leg" is BC, we believe the question is asking for the length of DC.

The right triangles formed by the altitude are all similar to the original. That means ...

AD/AB = AB/AC . . . . . . ratio of short side to hypotenuse is a constant

Multiplying by AB and substituting the given numbers, we get ...

AD = AB²/AC = 10²/25

AD = 4

Then the segment DC is ...

DC = AC -AD = 25 -4

DC = 21 . . . . . centimeters