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3 years ago

11

You are designing a rectangular playground. On your scale drawing, the vertices of the rectangle are (4,-4), (4,2), and (7,-4).

What are the coordinates of the fourth vertex?
A.) 7, -10
B.) 1, 2
C.) 2, 7
D.) 7, 2

1 answer:

Rina8888 [55]3 years ago

6 0

D is the correct answer hope this helps

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Find the perimeter of ABC with vertices A (1,-6), B (1,-3),<br> and C (-4,-6).

Crazy boy [7]

Answer:

$p = 8 + \sqrt{34} = 13.83095...$

Step-by-step explanation:

we can easily calculate the perimeter of three points, using vectors. See the picture...

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FREE POINTS AND MYBE A BRAINLIEST JUST ONE QUESTION ARE YOU TIRED OF ASKING SONE QUESTIONS NO ONE ANSWERS AND THEN YOU CAN'T GET

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Answer:

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Step-by-step explanation:

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3 years ago

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Over the summer Mr.Patel refilled a bird feeder 24 time using 6 cups of seeds each time.A bag of seeds holds 32 cups. How many b

nalin [4]

Answer:

The equation representing the problem is $x=\frac{24\times 6}{32}$ .

Mr. Patel used 5 bags of seeds.

Step-by-step explanation:

Given:

Number of times bird feeder refilled =24

Number of cups of seeds used each time = 6 cups

Number of seeds each bag holds = 32 cups.

We need to write the equation to represent the problem.

Solution.

Let the total number of bag of seed be 'x'.

First we will find the Total number of cups of seeds used.

Now we can say that;

Total number of cups of seeds used can be calculated by multiplying Number of times bird feeder refilled by Number of cups of seeds used each time.

framing in equation form we get;

Total number of cups of seeds used = $24\times6 \ cups$

Now We know that;

1 bag holds = 32 cups

Total number of bags required = $24\times6 \ cups$

So we can say that;

Total number of bags required is equal to Total number of cups of seeds used divided by number of seed hold by each bag.

framing in equation form we get;

$x=\frac{24\times 6}{32}$

Hence the equation representing the problem is $x=\frac{24\times 6}{32}$ .

On solving we get;

$x=4.5$

Since bags cannot be bought in half or in decimal value.

Hence we can say Mr. Patel used 5 bags of seeds.

7 0

3 years ago

Sonny has entered a reading contest at the local library. After reading two books, he has read 396000 words of text. After five

lutik1710 [3]

Answer:

Please check the expalantion.

Step-by-step explanation:

Let

x is the number of books read

y is the total number of words read

Given that:

After reading two books, he has read 396000 words of text.

Thus, we get the point (2, 396000).

After five books, he has read 990000 words of text.

Thus, we get the point (5, 990000).

As the function is linear, so we take the points

(2, 396000)

(5, 990000)

Determining the slope between (2, 396000) and (5, 990000)

(x₁, y₁) = (2, 396000)

(x₂, y₂) = (5, 990000)

Using the formula

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [990000 - 396000] / [5 - 2]

= 594000 / 3

= 198000

Thus, the slope of the line = m = 198000

substituting the point (2, 396000) and m = 198000 in the slope-intercept form of the linear equation to determine the y-intercept

y = mx+b

396000 = 198000(2) + b

flipe the equation

198000(2) + b = 396000

396000 + b = 396000

subtracting 396000 from both sides

396000 + b - 396000 = 396000 - 396000

b = 0

now substituting b = 0 and m = 198000 in the slope-intercept form of the linear equation to determine the y-intercept

y = mx+b

y = 198000x + 0

y = 198000x

Therefore, a linear function in slope-intercept form to model his progress is:

y = 198000x

Part b)

How many books will he need to read to reach a total of 10,000,000 words?

As we have already determined a linear function in slope-intercept form to model his progress.

y = 198000x

substituting y = 10,000,000 in the equation

y = 198000x

10,000,000 = 198000x

flip the equation

198000x = 10,000,000

dividing the both equation by 198000

198000x/198000 = 10,000,000/198000

x = 50.5

Thus, Sonny will need to read 50.5 books to read to reach a total of 10,000,000 words.

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3 years ago

Jason's business computers need servicing. The expression 81x + 108 represents a contractor's total charges in dollars for fixin

Zielflug [23.3K]

Answer:

The Jason's company charges more than the contractor's company.

Step-by-step explanation:

There are two expressions given for total charges for two companies as 81 x+108 and 103 x+64.

Here x represents number of hours.

We are asked to find difference in total charges if that takes 45 minutes.

45 minutes = $\frac{3}{4}$ hours.

Plug in this value for x.

81x+108 = $81*\frac{3}{4} +108$

Simplify it

60.75 +108 =168.75

Now, for 103x+64 = $103 *\frac{3}{4} +64$

Simplify it,

77.25+64=141.25

If we see the total charge for both companies for 45 minutes, the Jason's business computers charges more than contractor's company.

5 0

3 years ago