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Lynna [10]
3 years ago
14

What is the center of the circle shown below?

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
5 0
The center is M.
Your answer is B.
Nina [5.8K]3 years ago
4 0

Answer:

B) M

Step-by-step explanation:

The center of the circle is the point  which all other points on the circle are equidistant from.

MN is a radius; this means it is the distance from the center of the circle to the outside edge.  N is on the outside edge of the circle, so M is the center.

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Perform the multiplication. Simplify the answers. 2 √30*( √5+ √6+ √10+ √15)
Delicious77 [7]

The simplified expression of 2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15})is 10\sqrt{6} +  6\sqrt{20}+  20\sqrt{3} +  30\sqrt{2}

The expression is given as:

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15})

Expand the expression

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2\sqrt{30} \times \sqrt5+  2\sqrt{30} \times \sqrt6+  2\sqrt{30} \times \sqrt{10} +  2\sqrt{30} \times \sqrt{15}

Factor out 2

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(\sqrt{30} \times \sqrt5+  \sqrt{30} \times \sqrt6+  \sqrt{30} \times \sqrt{10} +  \sqrt{30} \times \sqrt{15})

Combine the radicals

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(\sqrt{150} +  \sqrt{180}+  \sqrt{300} +  \sqrt{450})

Expand the expression

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(\sqrt{25 \times 6} +  \sqrt{9 \times 20}+  \sqrt{100 \times 3} +  \sqrt{225\times 2})

Evaluate the roots

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(5\sqrt{6} +  3\sqrt{20}+  10\sqrt{3} +  15 \sqrt{2})

Expand

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) =10\sqrt{6} +  6\sqrt{20}+  20\sqrt{3} +  30\sqrt{2}

Hence, the simplified expression of 2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15})is 10\sqrt{6} +  6\sqrt{20}+  20\sqrt{3} +  30\sqrt{2}

Read more about simplified expressions at:

brainly.com/question/8008182

3 0
2 years ago
Express 5/7 as a decimal.
nignag [31]

Answer:

0.71428571428

Step-by-step explanation:

Do it the old fashioned way, get out your calculator, or google it.

3 0
3 years ago
Read 2 more answers
On a highway, you take 3 seconds to increase your speed from 32 to 35 miles per hour. Your speed increases the same amount each
balandron [24]

Answer:

1 to 30 seconds

Step-by-step explanation:

3 seconds increases your speed from 32 to 35 miles per hour

Hence 3 seconds = 3 miles per hour(35-32 miles)

1 second = 1 mile

The function for the increase per mile is therefore:

f(x)= 1x

Where x is number of seconds travelled on the highway

The domain of a function are the possible input values for x. Since the speed limit on the highway is 65 miles, the input values for x cannot be more than 30 seconds(current speed is 35 miles per hour, 65-35=30)

3 0
3 years ago
The circumference of a circle is just ?
Juliette [100K]

Answer:

The formula is  C = πd

π = pie

d= diameter

C =circumference

7 0
2 years ago
Read 2 more answers
Oduct of (x2 + 3)(x - 5).
Zanzabum

Answer: 2x^2-7x-15

Step-by-step explanation:

reorder the terms (x*2+3)*(x-5)

multiply the parentheses

(2x+3)*(x-5)

collect like terms (2x^2-10x+3x-15)

product= 2x^2-7x-15

8 0
3 years ago
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