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zvonat [6]
2 years ago
11

Write a simplified polynomial expression in standard form to represent the area of the rectangle below. (2 points) A picture of

a rectangle is shown with one side labeled as 5 x plus 2 and another side labeled as x minus 4.
Mathematics
2 answers:
Anna71 [15]2 years ago
5 0

Answer:

C

Step-by-step explanation:

 

5x2 − 18x − 8

Jet001 [13]2 years ago
4 0

Answer:

Area= 5x^2-18x -8

Step-by-step explanation:

If the rectangle show one side of length 5 x +2, and another side of length x - 4, then the area of this rectangle (given by the product of the sides' length) is:

Area = (5x+2)\,(x-4)\\Area = 5x^2-20x+2x-8\\Area= 5x^2-18x -8

which is already written in standard form.

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What is the speed of a runner who completes the 800 m race in one minute and 40 seconds?
skelet666 [1.2K]
Answer: 8 m/s

First let’s convert the time to seconds. There are 69 seconds in a minute so 1 minute and 40 seconds is 60 +40 second which totals to 100 seconds
Now to get the speed in meters per second we divide the total meters run by the total seconds
So the speed will be 800m/100s = 8m/s
7 0
3 years ago
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-15 and -2 don’t make +17
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It's 3 triangles right ??<br> I just to make sure am right. How many triangles equal a Circle
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3 0
3 years ago
Read 2 more answers
A piece of wire 11 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
forsale [732]

Answer:

11 meters

Step-by-step explanation:

First, we can say that the square has a side length of x. The perimeter of the square is 4x, and that is how much wire goes into the square. To maximize the area, we should use all the wire possible, so the remaining wire goes into the triangle, or (11-4x).

The area of the square is x², and the area of an equilateral triangle with side length a is (√3/4)a². Next, 11-4x is equal to the perimeter of the triangle, and since it is equilateral, each side has (11-4x)/3 length. Plugging that in for a, we get the area of the equilateral triangle is

(√3/4)((11-4x)/3)²

= (√3/4)(11/3 - 4x/3)²

= (√3/4)(121/9  - 88x/9 + 16x²/9)

= (16√3/36)x² - (88√3/36)x + (121√3/36)

The total area is then

(16√3/36)x² - (88√3/36)x + (121√3/36) + x²

= (16√3/36 + 1)x² -  (88√3/36)x + (121√3/36)

Because the coefficient for x² is positive, the parabola would open up and the derivative of the parabola would be the local minimum. Therefore, to find the maximum area, we need to go to the absolute minimum/maximum points of x (x=0 or x=2.75)

When x=0, each side of the triangle is 11/3 meters long and its area is

(√3/4)a² ≈ 5.82

When x=2.75, each side of the square is 2.75 meters long and its area is

2.75² = 7.5625

Therefore, a maximum is reached when x=2.75, or the wire used for the square is 2.75 * 4 = 11 meters

3 0
3 years ago
1: Ken earned $176 from his part-time job this summer. He spent 25% of his money on games. ​He is going to donate 14 of the rema
tatiyna

The charity will receive $ 11

<h3><u>Solution:</u></h3>

Ken earned $176 from his part-time job this summer

Amount earned = $ 176

He spent 25% of his money on games

Therefore,

Money spent on games = 176 - 25 % of 176

\text{Money spent on games } = 176 - \frac{25}{100} \times 176\\\\\text{Money spent on games } = 176 - 0.25 \times 176\\\\\text{Money spent on games } = 176 - 44\\\\\text{Money spent on games } = 132

He is going to donate 1/4 of the remaining money to charity

Reamining amount = 176 - 132 = 44

Therefore,

Money\ given\ to\ charity = \frac{1}{4} \times 44 = 11

Thus he gave $ 11 to charity

8 0
3 years ago
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