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Nadusha1986 [10]
3 years ago
14

Find the distance between the two points in simplest radical form. (0,−7) and (−6,1)

Mathematics
1 answer:
astra-53 [7]3 years ago
4 0

Answer:

10

Step-by-step explanation:

d = √(x2  -x1)² + (y2 - y1)²

√(-6 - 0)² + [1 - (-7)]²

√(-6)² + (8)²

√(36) + (64)

√100

= 10

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four times a number minus twice another number is -16 the sum of the two numbers is -1 find the numbers
lianna [129]

Answer: The numbers are -3 and 2

Step-by-step explanation:  Let x be the first number and y be the second number

then according to given statements the linear equations will be:

"Four times a number minus twice another number is -16"

"The sum of the two numbers is -1"

From equation 2:

Putting y = -x-1 in equation 1

Subtracting 2 from both sides

Dividing both sides by 6

Putting x = -3 in equation 2:

Hence,

The numbers are -3 and 2

6 0
2 years ago
At a wedding reception, there will be 1,012 guests. A round table will seat 12 guests. How many round tables will be needed?
Whitepunk [10]

Answer:

85 tables

Step-by-step explanation:

1012 divided by 12 is 84 and 1/3. We want to have room for everyone, so we round up to 85.

3 0
3 years ago
Simplify square root of 2 over cube root of 2.
Fed [463]

Answer:

2 to the power of one sixth

Step-by-step explanation:

Assuming you don't already know this, any type of root can be expressed as an exponent. Generally speaking:

\sqrt[n]{x}  =  {x}^{ \frac{1}{n} }

So you can rewrite the given fraction as

\frac{ {2}^{ \frac{1}{2} } }{ {2}^{ \frac{1}{3} } }

and then reduce as you normally would. That is, if the bases of the numerator and denominator are the same, then you can subtract the denominator's exponent from the numerator's exponent like so:

\frac{ {2}^{ \frac{1}{2} } }{ {2}^{ \frac{1}{3} } }  =  {2}^{ \frac{1}{2} -  \frac{1}{3}  }

Since

\frac{1}{2}  -  \frac{1}{3}  =  \frac{3}{6}  -  \frac{2}{6}  =  \frac{1}{6}

the answer is

{2}^{ \frac{1}{6} }  \: or \:  \sqrt[6]{2}

3 0
3 years ago
Read 2 more answers
Can somebody pls help I’ll mark brainliest
Mnenie [13.5K]
<span><u><em>Answer:</em></u>
64

<u><em>Explanation:</em></u>
The square of any number can be obtained by multiplied the number by itself.
<u>In other words:</u>
square of x = x</span>²<span> = x * x

For the given, we want to get the square of 8. This means that we will <u>multiply 8 by itself.</u>
Therefore:
square of 8 = 8</span>²<span> = 8 * 8 = 64

Hope this helps :)</span>
8 0
3 years ago
Read 2 more answers
When two identical ions are separated by a distance of 4.2×10−10 , the electrostatic force each exerts on the other is 5.2×10−9
Effectus [21]
F = kq2 / r2 
q = ne 
 F = k(ne)2 / r2 
 n = âš(r2F / ke2) = (r/e) âš(F/k) 
 k = 9 x 109 Nm2/C2 
 e = 1.6 x 10-19 C 
 n = [(4.2 x 10-10) / (1.6 x 10-19)] âš[(5.2 x 10-9) / (9 x 109)] ≅ 1.995 ≅ 2
7 0
3 years ago
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