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svlad2 [7]
4 years ago
15

Which function in vertex form is equivalent to f(x) = x2 + 6x + 3?

Mathematics
2 answers:
Svetlanka [38]4 years ago
8 0
<span>f(x)=x^2+6x+3
     =(1/2.6)^2=3^2=9
f(x)=(x2^+6x+9)+3-9
     =(x+3)^2-6</span>
solong [7]4 years ago
7 0

Answer:

B. f(x) = (x + 3)2 − 6

Step-by-step explanation:

I just did this for "completing the square". Hope this helped!

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What is the arc length of the arc sub tended in a circle with radius 6 and an angle of 7 pi/ 8
KengaRu [80]

Answer:

Formula for the Arc length is given by:

\text{Arc length} = 2 \pi r \cdot \frac{\theta}{360^{\circ}}

As per the statement:

radius of circle(r) = 6 units

Angle (\theta) = \frac{7 \pi}{8} radian

Use conversion:

1 rad = \frac{180}{\pi}

\frac{7 \pi}{8} = \frac{180}{\pi} \cdot \frac{7 \pi}{8} = \frac{1260}{8} = 157.5^{\circ}

then;

substitute these given values we have;

Use value of \pi = 3.14

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot \frac{157.5^{\circ}}{360^{\circ}}

or

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot 0.4375

Simplify:

\text{Arc length}=16.485

Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units

7 0
3 years ago
Tom Harding is a proofreader. He is paid $0.23 for every page he proofs. What is Tom's total pay for a week in which he proofrea
natka813 [3]
Alrighty, what I was always taught was to start by writing out what you know from the question.

What I know:
-Tom is paid $0.23 for every page of proofs.
-He proofreads 1,992 pages.

In order to figure out how much money Tom has made, we need to multiply 0.23 by 1,992. Multiplying allows us to see the total amount of money made by proofreading x amount of pages - for every page he proofreads, he makes $0.23.
0.23×1992=458.16

Therefore, Tom made $458.16.

Hope this helps!

3 0
3 years ago
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