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3 years ago

Solve by completing the square? Could you please work it out step-by-step?

Mathematics

1 answer:

DaniilM [7]3 years ago

4 0

16 n^2 -10n + 129 = 8n^2 -8

We collect the terms:
8n^2 -10n + 137 = 0

The steps for completing the square:

1) Move the "non X" (or "non N") term to the right:

8n^2 -10n = -137

2) Divide the equation by the coefficient of N² which in this case is 8
n^2 -1.2n = -17.125 

3) Take the coefficient of "N"; divide it by 2; square it; add it to both sides of the equation.
-1.2 / 2 = -.6
-.6^2 = .36


n^2 -1.2n +.36 = -17.125 +.36

Take the square root of both sides:
(n-.6)*(n-.6) = sq root( -16.765 )
That's about as far as I can go.

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Julie and her brother go to Atlanta to ride the Sky View Ferris wheel. It measures 200 feet in diameter. I want to know the dist

Zinaida [17]

Answer:

a) Circumference of Ferris wheel.

b) $\text{Circumference} = \pi d$

c) 628 feet

Step-by-step explanation:

We are given the following in question:

Diameter of Ferris Wheel = 200 feet

a) Distance around Ferris wheel

The distance around Ferris wheel is given by the circumference of Ferris wheel.

b) Formula to calculate circumference

$\text{Circumference} = \pi d$

where d is the diameter of he wheel.

c) Distance traveled in one rotation

This will be given by the circumference of the Ferris wheel.

$\text{Distance} = \pi d = 3.14\times 200 = 628\text{ feet}$

Thus, the distance traveled in one rotation is 628 feet.

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3 years ago

Find the midpoint of points A(-3,9) and B(0, 1) graphically.

Studentka2010 [4]

Answer:

$(-\frac{3}{2} , 5)$

Step-by-step explanation:

The graph is in the image

$Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-3,\:9\right),\:\left(x_2,\:y_2\right)=\left(0,\:1\right)\\\\\left(\frac{0-3}{2},\:\frac{1+9}{2}\right)\\\\Add\:or\:subtract\:the\:numbers\\\\(\frac{-3}{2} , \frac{10}{2}) \\\\Simplify\\\\(-\frac{3}{2} , 5)\\$

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3 years ago

A space probe traveled 524,000,000 miles, at an average speed of 32,000 miles per hour. How many hours did the space probes jour

Svet_ta [14]

Answer:

Step-by-step explanation:

5.24×10⁸ miles × (1 hour)/(3.2×10⁴ miles) = 1.6375×10⁴ hours = 16,375 hours

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3 years ago

Theater A charges $5 for tickets and $2 per snack that is bought. Theater B

BlackZzzverrR [31]

Answer:

the answer is d.

Step-by-step explanation:

as soon as you go to the theater, you HAVE to pay $5 in theater a, with two dollars for ONE snack bought, and it says two dollars PER one snack bought. therefore if x was 2, so if someone wanted to buy 2 snacks, then you would multiply by 2 to get the total cost, or y, for the snacks. answer d is the only one that has the correct numbers in the correct places for theater a and b.

hope this helps!

8 0

2 years ago

What is the value of the expression below? (3 1/2 - 9 3/4) ÷ (-2.5)

Alexandra [31]

Answer:

2.5

Step-by-step explanation:

3 1/2 - 9 3/4 =

3 2/4 - 9 3/4 = -6 1/4

-6 1/4 = -6.25 ÷ (-2.5) = 2.5

5 0

2 years ago