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vivado [14]
3 years ago
7

What number "c" completes the square: x^2 - 14x + c

Mathematics
1 answer:
Vladimir79 [104]3 years ago
6 0

Answer:

49

Step-by-step explanation:

To complete the square we use the formula:

c=(\frac{b}{2} )^{2}

So we can plug in 14 for b to find c.

c=(\frac{14}{2} )^{2}\\\\c=(7 )^{2}\\c=49

Now this equation can be factored into:

(x-7)^{2}

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Noam walks home from school by walking 8 blocks north and then 6 blocks east. How
TEA [102]

Answer:

4 blocks shorter.

Step-by-step explanation:

Noam walks home from school by walking 8 blocks north and then 6 blocks east.

If Noam walks 8 blocks from School at A towards north to the point B and then from B towards east by 6 blocks to reach home at C, then Δ ABC will form a right triangle whose sides with 90° are AB = 8 blocks and BC = 6 blocks and AC is the hypotenuse which is given by

AC² = AB² + BC² = 8² + 6² = 100

⇒ AC = 10 blocks.

So, total distance that Noam travels is (8 + 6) = 14 blocks.

And if he walks along AC, then the distance will be 10 blocks which is (14 - 10 ) = 4 blocks shorter than his actual path. (Answer)

6 0
3 years ago
Factor completely: 3x2 + 2x - 1. Answer. (3x + 1)(x + 1). (3x + 1)(x - 1). (3x - 1)(x + 1). (3x - 1)(x - 1).
ankoles [38]
The correct answer for this question is "<span>(3x - 1)(x + 1).</span><span>"</span>
This is how to factor the given polynomial:
<span>3x2 + 2x - 1
</span><span>(3x - 1) (x + 1) 

It takes trial and error in order to get the final factor of a given polynomial. It has to be exact and correctly done.</span>
7 0
3 years ago
Read 2 more answers
Need help on geometry
lawyer [7]
1. Vertical
2. Sup
3. Adj angles
4.sup
5. Vertical
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3 0
3 years ago
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Simplify: |3 – 8| - (12 divided by 3 + 1) to the power of 2
Harlamova29_29 [7]

Answer:

-4

Step-by-step explanation:

Assuming that the following equation is correct, begin by solving the operations within parentheses and absolute value expressions.

|3 - 8| - (\frac{12}{3+1} )^2

|-5| - (\frac{12}{4} )^2

The absolute value of -5 is 5; -5 is five units away from 0. 12/4 is equal to 3.

5 - 3^2

5 - 9 = -4

The simplified expression is equal to -4.

4 0
3 years ago
Read 2 more answers
10 points and<br> easy. please help
olganol [36]

Answer:

The answer is D) No; Y doesn't vary directly with x.

Step-by-step explanation:

It isn't A because:

y=2x:  

2(2)=4=y Not true, 2(4)=8=y Not true, 2(6)=12=y Not true

It isn't B:

y=5x

5(2)= 10=y True, 5(4)=20=y Not true, 5(6)=30=y Not true

It isn't C:

y=7x

7(2)=14=y Not true, 7(4)=28=y Not true, 7(6)=42=y Not true


8 0
3 years ago
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