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3 years ago

The base of a parallelogram is28.4 centimeters the height is one fourth of the base. What the area of the parallelogram?

2 answers:

6 0

Okay, so what we are going to do is divide 28.4 by 4: 28.4÷4=7.1. Now, we multiply 28.4 by 7.1: 28.4×7.1=201.64cm². Therefore, the area of the parallelogram is 201.64cm². Hoped I helped. :)

brilliants [131]3 years ago

4 0

The base of a parallelogram is 28.4 cm.
The height is one fourth of the base.
28.4 ÷ 4 = 7.1, so the height is 7.1 cm.
What the area of the parallelogram?
The area of any parallelogram is the base times the height.
28.4 cm × 7.1 cm = 201.64 cm²

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The sum of three consecutive even integers is 72. Let x represent the first integer x+2 represent the second integer and x+4 rep

satela [25.4K]

72 = x + x+2 + x+4

72 = 3x+6

66 = 3x

x = 66/3 = 22

1st number = 22

2nd number = 22+2 = 24

3rd number = 22+4 = 26

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3 years ago

What is the equation of the line perpendicular to Y-3x+1 that passes through the point (12,-6)?

erma4kov [3.2K]

Answer:

$3y + x = -6$

Step-by-step explanation:

Given

y = 3x + 1

Required

Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1

First, the slope of the line has to be calculated;

Th slope of a line is the coefficient of x in its linear equation;

This implies that the slope of y = 3x + 1 is 3

Having calculated the slope of the first line;

The relationship between both lines are perpendicularity; this implies that $m_1 * m_2 = -1$

Where m_1 = 3 and m_2 is the slope of the secodnd line

$m_1 * m_2 = -1$ becomes

$3 * m_2 = -1$

Divide both sides by 3

$\frac{3 *m_2}{m_2} = \frac{-1}{3}$

$m_2 = \frac{-1}{3}$

The equation of the line can be calculated using the folloing formula

$m = \frac{y - y_1}{x - x_1}$

Where $(x_1, y_1) = (12,-6)$ and $m_2 = \frac{-1}{3}$

The equation becomes

$\frac{-1}{3} = \frac{y -- 6}{x - 12}$

$\frac{-1}{3} = \frac{y + 6}{x - 12}$

Cross multiply

$-(x - 12)= 3(y + 6)$

$-x + 12=3y + 18$

Collect like terms

$12 - 18 = 3y +x$

$-6 = 3y + x$

$3y + x = -6$

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3 years ago

A manufacturer of bicycles has determined that 550 bikes per month will be sold at a price of $250. At a price of $150, it is es

iogann1982 [59]

750 bikes would be sold for $350

Let x represent the number of bikes sold per month and y represent the price.

550 bikes are sold at a price of $250, this can be represented by (550, 250). Also, 750 bikes is sold at a price of $150, hence it is represented by (750, 150)

A linear function is represented by:

y = mx + b

m is the slope, b is the y intercept.

Therefore the function is:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-250=\frac{150-250}{750-550} (x-550)\\\\y=\frac{1}{2}x-25$