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antiseptic1488 [7]
3 years ago
14

If using the method of completing the square to solve the quadratic equation x^2-13x+14=0, which number would have to be added t

o "complete the square"?
Mathematics
1 answer:
nevsk [136]3 years ago
7 0

Answer:

169/4

Step-by-step explanation:

Take the coefficient of the x term.  Here it's -13.  Now halve that, obtaining -13/2.  Finally, square this result.  We get 169/4.  This is the desired number.

x^2 - 13x + 169/4 - 169/4 + 14 = 0

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PLEASE HELP ME!!!! WILL MARK BRAINLIEST
FromTheMoon [43]

Answer:

5

Step-by-step explanation:

Pythagoras's theorem dictates that  a squared + b squared  = c squared when talking about sides on right angled triangles with a and b being flat sides and c being the hypotenuse which gives us the forumula below

3 squared + 4 squared = 25 route 25 = 5

8 0
3 years ago
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A function is given. h(t) = t2 + 3t; t = −1, t = 2
Arlecino [84]

Answer:

(a) The net change of the function is 12.

(b) The average rate of change of the function 4.

Step-by-step explanation:

The average rate of change of function f(x) over the interval a\leq x\leq b is given by this expression:

average rate of change =  \frac{net \:change \:in \:y}{change \:in \:x} = \frac{f(b)-f(a)}{b-a}

It is a measure of how much the function changed per unit, on average, over that interval.

Given:

h(t)=t^2+3t\\\\t=-1\\t=2

(a) To find the net change of the function, first we calculate the values of h(2) and h(-1)

h(-1)=(-1)^2+3(-1)=-2\\\\h(2)=(2)^2+3(2)=10

The net change is simply the difference

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(b) The average rate of change takes the net change and divides it by the change in the t value.

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5 0
3 years ago
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Divide 32x4 − 12x2 + 7x by 2x.<br><br> What is the quotient?
miss Akunina [59]
<span> 32x4 - 12x2 + 7x
-------------------
           2x</span>
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Svetlanka [38]

Answer:

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Step-by-step explanation:

-3+6=2x-24

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___________

27=2x

÷2   ÷2

___________-

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Hope this helps :D

7 0
3 years ago
HELP ASAP! PLEASE WILL MARK CORRECT ANSWER BRAINLIEST! I NEED TO GET IT DONE ASAP 25 POINTS
Aleks [24]

Answer:

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Step-by-step explanation:

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