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3 years ago

Which line is a graph of the equation: 2x + 5y = -10?

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

3 0

Answer:

Step-by-step explanation:

2x + 5y = - 10 Subtract 2x from both sides

5y = -2x - 10 Divide by 5

y = -2x/5 - 10/5

y = 0.4x - 2

The slope is minus so the line is going from lower right to upper left as B and D are doing.

The y intercept is - 2. B goes through + 2 so it is not the answer.

The answer is D

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

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

So, The possible parking lengths are 45.96 feet and 174.031 feet

3 0

3 years ago

Whats 3 3/4 divided by 1/2

sasho [114]

3 3/4 divided by 1/2 is 7 1/2.

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3 years ago

Jay ate 2/3 of a pizza. Dan ate 4 times the amount of jay ate . How much did dan eat

erica [24]

Answer:

Dan eat $2\frac{2}{3}$ pizzas

Step-by-step explanation:

Let

x-----> amount of pizza Jay ate

y-----> amount of pizza Dan ate

we know that

$x=\frac{2}{3}$ ----> equation A

$y=4x$ -----> equation B

substitute equation A in the equation B and solve for y

$y=4(\frac{2}{3})=\frac{8}{3}$

Convert to mixed number

$\frac{8}{3}=\frac{6}{3}+\frac{2}{3}=2\frac{2}{3}$

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3 years ago

Alan has forgotten his 4-digit PIN code.

SVEN [57.7K]

Answer:

a lot of different answers

Step-by-step explanation:

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Colt1911 [192]

The answer is D Explanation: since the the slope is negative the x should be negative and D is the only one that has a negative X.

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3 years ago

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