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kakasveta [241]
3 years ago
10

Translate Each sentence into an equation!!!

Mathematics
1 answer:
Amanda [17]3 years ago
6 0
20+2N=52
now subtract 20 from each side, to get 2N alone
2N=32
now divide each side by 2 
N=16
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A lawyer drives from her​ home, located 2 miles east and 3 miles north of the town​ courthouse, to her​ office, located 5 miles
LekaFEV [45]
Let <span>the town​ courthouse be the origin of coordinate plane, the positive direction of x-axis is west and negative direction is east, the positive direction of y-axis is north and negative direction is south. Then a lawyer home has coordinates (-2,3) and lawyer office has coordinates (5, -21).
</span>
Use the distance formula d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} to get the <span>distance between lawyer's home and office:
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</span><span /> d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}=\sqrt{(-2-5)^2+(3-(-21))^2}=
=\sqrt{7^2+24^2}  =  \sqrt{49+576} =  \sqrt{625} =25.
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3 years ago
F(x) = square root of x+9 ; g(x) = 8x - 13<br> Find f(g(x))
ryzh [129]

Answer:

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Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(8x - 13)

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3 0
3 years ago
How many elements are in the union of five sets if the sets contain 10,000 elements each, each pair of sets has 1000 common elem
masya89 [10]

Answer:

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Step-by-step explanation:

Using the principles of inclusion - Exclusion

Where C(n,r)=n!/(n-r)!r!

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Number of elements in each triple of sets is given as

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Therefore total number of unique elements=50000-10000+1000-50+1

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5 0
3 years ago
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Over [174]

Answer:

450

Step-by-step explanation:

1 centimeter is equivalent to 10 millimeters . Therefore, 45 centimeters will be equivalent to;

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4 0
3 years ago
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