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const2013 [10]
4 years ago
5

What number should be added to both sides of the equation to complete the square? X^2-10=7

Mathematics
1 answer:
Assoli18 [71]4 years ago
8 0
I must assume that you meant   <span>X^2-10x =7.  If that is indeed the case, then:

</span>X^2-10x =7  =>  x^2 -10x + 25 - 25 = 7, so that (x-5)^2 = 32  (Add 25, then 
                                                                                                 subtract 25)
Then x-5 = plus or minus sqrt(16)sqrt(2) = 4sqrt(2).

Then x = 5 plus or minus 4 sqrt(2) (answers)
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Ava and Kelly ran a road race, starting from the same place at the same time. Ava ran at an average speed of 6 miles per hour. K
zalisa [80]
<h2>Hello!</h2>

The answer is:

It will took 0.375 hours for Ava and Kelly to be 3/4 miles apart.

<h2>Why?</h2>

To calculate how long after they start they will be 3/4 miles apart, we need to write two equations.

So, writing the equations, we have:

Calculations for Ava:

We have the following information,

v_{Ava}=6mph

Then, writing the equation,

x_{Ava}=x_{o}+v_{Ava}*t

x_{Ava}=x_{o}+v_{6mph}*t

Calculations for Kelly:

We have the following information,

v_{Kelly}=8mph

We need to calculate when Kelly will be 3/4 miles apart of Ava, so, it's position will be the Ava's position plus 3/4 miles.

Then, writing the equation,

x_{Ava}+0.75miles=x_{o}+v_{Kelly}*t

x_{Ava}+0.75miles=x_{o}+v_{8mph}*t

Now, substituting Ava's speed into the second equation, we have:

x_{o}+6mph*t+0.75miles=x_{o}+8mph*t

6mph*t+0.75miles=+8mph*t

8mph*t-6mph*t=0.75miles

2mph*t=0.75miles

t=\frac{0.75miles}{2mph}=0.375hours

Hence, we have that it will took 0.375 hours for Ava and Kelly to be 3/4 miles apart.

Have a nice day!

7 0
3 years ago
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The boys wrestling team scored a total of 36 points. Pins are worth 6 points. Major
shtirl [24]

Answer:

6p + 4d = 36

Step-by-step explanation:

If p = number of pins and d = number of major decisions, then the equation is 6p + 4d = 36.

Hope this helps!

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3 years ago
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A teacher Ask for students To write three side lengths that will not make a triangle and describe why.
Ulleksa [173]

Answer:

2, 5, 9

Step-by-step explanation:

The two shorter sides added together must be longer than the third side or they cannot make a triangle.

4 0
3 years ago
What is 5 subtracted by 6 exponent 2 divided by 4 subtracted by 3? Show how u got the answer plz I know it’s negative 7 but i do
11111nata11111 [884]

Answer: The answer is not -7 it is in fact -31.

Step-by-step explanation:

5 - ( 6^2 ) / 4 - 3

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5 - ( 6^2 ) = -31

4 - 3 = 1

5 - 36 / 1 = -31 / 1 = -31

So anything divided by 1 is = to itself.

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3 years ago
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