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luda_lava [24]
3 years ago
15

The quadrilateral with the following vertices is a ______. (-6, -2), (4, -2), (2, -5), (-7, -5)

Mathematics
1 answer:
AURORKA [14]3 years ago
7 0

Answer:

rectangle

Step-by-step explanation:

u can use a graph paper

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How many different ways can 7 people sit in seats labeled A – G?
motikmotik

Answer:

49

Step-by-step explanation:

count your options on the thang there are 7 dfrny seats and 7 different peps you do 7*7

8 0
3 years ago
Read 2 more answers
A giraffe can run 32 miles per hour. What is the speed in feet per second? (1 mile = 5280 ft)
velikii [3]

Set up your conversion using dimensional analysis. That's just a fancy way of saying set up your values so you cancel what you don't need and keep what you do. If we want to convert miles per hour to feet per second, we need to convert the miles to feet using the fact that there are 5280 feet in 1 mile, and then convert the hours to seconds using the fact that there are 3600 seconds in an hour. Your set up will look like this (it's all about setting up the fractions correctly): \frac{32miles}{hour}*\frac{5280feet}{1mile}*\frac{1hour}{3600seconds}. If you look at that closely, you can see the there is a label of miles on the top in the first fraction and on the bottom in the second fraction. Those cancel each other out by reducing. Then in the bottom of the first fraction there is hours and in the top of the last fraction there is hours. Those cancel out. From top to bottom or bottom to top you can cancel like labels. This leaves us with feet in the top and seconds in the bottom. Now it's a matter of doing the math. You multiply straight across the top and straight across the bottom. \frac{168960feet}{3600seconds}. Simplifying you get 46.933 feet per second.

4 0
3 years ago
Read 2 more answers
In a + b, if b is divisible by n, is a + b divisible by n?
levacccp [35]

Answer:

Step-by-step explanation:

I think the answer should be no because only b is divisible by n not a

3 0
3 years ago
a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros.
Radda [10]

Answer:

15

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x=  \frac{-b-\sqrt{b^{2}-4ac } }{2a}

x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}

x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}

x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};

x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

(-714.005)^2+700(-714.005)-10000=-0.360

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

(14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725

3 0
2 years ago
Show all your work to receive full credit for this problem. Solve the system of equations using the elimination method. 2a + 3b
Sindrei [870]

Given equations are;<span>
2a + 3b = -1   ..................equation 1
3a + 5b = -2  ....................equation 2</span>

Now multiply equation 1 with (-3)

The equation will be;

-6a -9b = 3 …………………..equation 3

Now multiply equation 2 with (2)

The equation will be;

6a + 10b = -4 ……………..equation 4

Now add equation 3 and equation 4

-6a – 9b = 3

<span>6a  + 10b = -4</span>

<span>------------------------------</span>

0a + b = -1

b = -1

Now put the value of b in equation 1

2a + 3(-1) = -1

2a -3 = -1

2a = -1+3

2a = 2

a=1

Thus the solution is (a,b) = (1,-1)

<span>
</span>

8 0
3 years ago
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