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kondaur [170]
3 years ago
7

A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 200 feet. What is its area, in square feet?

19,200 19,600 20,000 20,400 20,800 Next Previous HelpEnd Review Review Screen
Mathematics
2 answers:
yawa3891 [41]3 years ago
8 0

Answer:19,600

Step-by-step explanation:

sergij07 [2.7K]3 years ago
7 0

Answer:

19200 square feet

Step-by-step explanation:

2x+2y=560.  x+y=280

find xy.

(x+y)^{2} =x^{2} +2xy+y^{2}

280^{2} =200^2+2xy

2xy=280^2-200^2

2xy=78400-40000=38400

xy=19200 square feet

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Nimfa-mama [501]

Step-by-step explanation:

x > -1

x = {0,1,2,...}

\lang -1,+\infty \rang

4 0
2 years ago
Can you help me create a polynomial function matching the criteria on the left please and thanks
Olenka [21]

Answer:

f(x) = \dfrac{1}{8}(x + 4)^2(x + 1)(x - 3)

Step-by-step explanation:

From inspection of the graph, we can see that the curve intercepts the x-axis at (-4, 0), (-1, 0) and (3, 0)

Therefore,

x = -4 ⇒ x + 4 = 0

x = -1 ⇒ x + 1 = 0

x = 3 ⇒ x - 3 = 0

Because (-4, 0) touches the x-axis, then (x + 4)² will be a factor

So (x + 4)², (x + 1) and (x - 3) are all factors of the polynomial

\implies f(x) = \dfrac{1}{n}(x + 4)^2(x + 1)(x - 3)

If we multiply the constants, this will give us the y-intercept:

⇒ 4² x 1 x -3 = -48

From inspection of the graph, the y-intercept is -6

So to get from -48 to -6 we need to multiply -48 by 1/8

Therefore, n = 1/8

\implies f(x) = \dfrac{1}{8}(x + 4)^2(x + 1)(x - 3)

7 0
2 years ago
Read 2 more answers
6n + 9 = -3 - 21 - 6
denis23 [38]
6n+9=-3-21-6
subtract the numbers:-3-21-6=-30
6n+9=-30
subtract 9 from both sides
6n+9-9=-30-9
simplify
6n=-39
divide both sides by 6
\frac{6n}{6}= \frac{-39}{6}
n= \frac{-13}{6}
decimal n=-6.5
Hope this helps :)
3 0
3 years ago
A car travels 45km in an hour. In each of the next two hours, it travels 78km. What is the average speed of the car.
romanna [79]

Answer:

The average speed of car is 67 kilometers per hour.

Step-by-step explanation:

Given that:

Distance travelled in one hour = 45 km

Distance travelled in next 2 hours = 78*2 = 156 km

Total distance = 45+156 = 201

Total time = 1+2 =  3 hours

Average speed of the car = \frac{Total\ distance}{Total\ time}

Average speed of the car = \frac{201}{3}

Average speed of the car = 67 km/hr

Hence,

The average speed of car is 67 kilometers per hour.

7 0
3 years ago
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