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3 years ago

- (3 x 100) + (7 x 10) + (4 x D) + (2 x 100)

Mathematics

1 answer:

Vlad1618 [11]3 years ago

5 0

Answer:

70 + 4D

Step-by-step explanation:

- (2 x 100) + (7 x 10) + (4 x D) + (2 x 100)

- (200) + (70) + 4D + 200

-200 + 70 +4D + 200

-130 + 4D + 200

70 + 4D

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A reflecting pool is shaped like a right triangle with one leg along the wall of a building. the hypotenuse is 9 feet longer tha

morpeh [17]

Answer:

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

The Hypotenuse =9+x ft = 9+8 = 17 ft

Step-by-step explanation:

In the question, the shape of the pool is right triangle.

Let the leg side along the wall to be the x ft

Let the other leg side to be 7+x ft

Let the longest side/hypotenuse to be x+9 ft

Apply the Pythagorean relationship where the sum of squares of the legs equals the square of the hypotenuse

This means;

$x^2 +(x+7)^2=(x+9)^2\\\\$

Expand the terms in brackets

$x^2+(x+7)^2=(x+9)^2\\\\\\x^2+x^2+14x+49=x^2+18x+81$

collect like terms

$x^2+x^2-x^2=18x-14x+81-49\\\\\\x^2=4x+32\\\\\\x^2-4x-32=0$

solve for x in the quadratic equation by factorization

$x^2-4x-32=0\\\\\\x^2-8x+4x-32=0\\\\\\x(x-8)+4(x-8)=0\\\\\\(x+4)(x-8)=0\\\\\\x+4=0,x=-4\\\\x-8=0,x=8$

Taking the positive value of x;

x=8ft

Finding the lengths

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

The Hypotenuse =9+x ft = 9+8 = 17 ft

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3 years ago

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For the love of God, please answer this.<br> thanks, W.

Andrew [12]

The equation of the perpendicular line will be y = (4/3)x.

<h3>What is a linear equation?</h3>

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Then the equation of the perpendicular line will be given as

y = - (1 / m)x + c

The equation of line is y = -3/4 x + 1.

Then the equation of the perpendicular line will be

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Then the equation of the perpendicular line will be y = (4/3)x.

More about the linear equation link is given below.

brainly.com/question/11897796

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2 years ago

- (3 x 100) + (7 x 10) + (4 x D) + (2 x 100)​

- (3 x 100) + (7 x 10) + (4 x D) + (2 x 100)