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2 years ago

Two vertical poles, 20m and 80m high stand on a horizontal plane.

Mathematics

1 answer:

Aloiza [94]2 years ago

3 0

Your answer is above

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The rectangle below has a area x^2-x-72 square meters and a length of x+8 meters what expression represents the width of the rec

mixer [17]

ANSWER

$w = (x - 8)$

EXPLANATION

The given rectangle has area,

$A = {x}^{2} - x - 72 \: {m}^{2}$

It was given to us that, the length of the rectangle is l=(x+8)

To find the width, we need to factor, the expression for the area.

We split the middle term to get,

$A = {x}^{2} - 9x + 8x- 72$

We now factor by grouping;

$A = x(x - 9) + 8(x- 9)$

$A = (x + 8)(x - 9)$

We know that area of a rectangle is

$A = l \times w$

Hence the width of the rectangle is,

$w = (x - 8)$

8 0

2 years ago

Read 2 more answers

Find the slope of the line through each pair of points.<br> (2, -4), (5,-8)

slega [8]

Answer:

$m=-\frac{4}{3}$

Step-by-step explanation:

$Slope=m=\frac{y_2-y_1}{x_2-x_1}$

Here

$(x_1, y_1)=(2, -4) \ \ and \ \ (x_2, y_2)=(5, -8)$

$m=\frac{-8-(-4)}{5-2}$

$m=-\frac{4}{3}$

8 0

2 years ago

You spent $175 on a pair of shoes and three shirts. Each shirt cost the same amount. The shoes cost four times the amount of one

sergey [27]

Step-by-step explanation:

1. making the equation:

shoes = x

shirts = y

175 = x + 3y

x = 4y

2. graph it (I'm using desmos)

the green line is for 175 = x + 3y and the purple one is for x = 4y

3. find the price

x = 4y

175 = 4y + 3y

175 = 7y

y = 175/7 = $25

price of the shirt = $25

x = 4y = 4*25 = $100

price of a pair of shoes = $100

5 0

2 years ago

What expression is equivalent to -3+2/3y-4-1/3y

Neko [114]

Answer:

The simplified form of the given expression is $-7 + (\frac{1}{3})y$

Step-by-step explanation:

Here, the given expression is:

$-3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y$

Now to simplify the given expression, perform operations on LIKE TERMS:

We get:

$-3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y =( -3 - 4) + [(\frac{2}{3}) y- (\frac{1}{3})y]\\= - 7 + [(\frac{2}{3}) -(\frac{1}{3})]y = -7 + [\frac{2-1}{3}]y\\ = -7 + (\frac{1}{3})y\\ \implies -3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y = -7 + (\frac{1}{3})y$

Hence the simplified form of the given expression is $-7 + (\frac{1}{3})y$

6 0

3 years ago

What is the value of a 3 - b 2 for a = 3 and b = ? A. 8 B. 8 3/4 26 3/4 26

ArbitrLikvidat [17]

When b = 1 a^3 - b^2 = 3^3 - 1^2 = 26.

6 0

2 years ago