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3 years ago

Use the ditributive property for -8 (x / 3)

1 answer:

ioda3 years ago

4 0

Greetings!

"Use the distributive property for $-8 (x / 3)$ ."

The distribute property is used to simplify an expression/equation. This is done by multiplying the contents of the parenthesis by the number outside of bracket.

 $-8 (x / 3)$
$=(-8*x / -8*3)$
Simplify.
 $=(-8x/-24)$

Hope this helps.
-Benjamin

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3 years ago

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2 years ago

A rectangular parking lot must have a perimeter of 440 feet and an area of at least 8000 square feet. Describe the possible leng

tangare [24]

Answer:

The possible parking lengths are 45.96 feet and 174.031 feet

Step-by-step explanation:

Let x be the length of rectangular plot and y be the breadth of rectangular plot

A rectangular parking lot must have a perimeter of 440 feet

Perimeter of rectangular plot =2(l+b)=2(x+y)=440

2(x+y)=440

x+y=220

y=220-x

We are also given that an area of at least 8000 square feet.

So, $xy \leq 8000$

So, $x(220-x) \leq 8000$

$220x-x^2 \leq 8000$

So, $220x-x^2 = 8000\\-x^2+220x-8000=0$

General quadratic equation : $ax^2+bx+c=0$

Formula : $x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031$

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3 years ago

1. What is misleading about the graph? "MASSIVE INCREASE IN HOUSE PRICES THIS YEAR!”

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2 years ago

When asked to write a point slope equation for a line passing through the points (-4,-7) and (3,2) a student wrote y-2=-9/7(x-3)

AleksAgata [21]

First let's find the slope
Slope formula:
$\frac{y_2-y_1}{x_2-x_1} =slope$
Given the two coordinates:
(-4,-7) (3,2)
x1,y1 x2,y2

Plug these numbers into the formula
$\frac{2-(-7)}{3-(-4)} = \frac{9}{7}$
In this case the mistake that was made was that the student wrote the slope negative instead of positive
Final answer:
y-2=9/7(x-3)

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3 years ago