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3 years ago

Complete the square for x^2 + 6x + ? to form a perfect square trinomial

1 answer:

8 0

To complete the square, or finding the c constant of this trinomial to make it factor evenly, use this formula to find the c constant (as according to the quadratic equation ax^2+bx+c):
(b/2)^2

When you plug in the b value, 6, you should get this:
(6/2)^2

Then, when you simplify, you get a result of 9 which would be the missing constant to fill in your trinomial. When you plug it in, you should get this as your final trinomial:

x^2+6x+9

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robert is in charge of the community swimming pool. each spring he drains is in order to clean it. then he refills the pool, whi

Airida [17]

If the required rate is gallons per minute, then its obvious from the question, that the rate of filling the pool is 10 gallons per minute, and its obviously a constant number.
But for the rate to be in gallons per hour, then
1 minute corresponds to 10 gallons
so
1 hour corresponds to 10x60 = 600 gallons
hence
rate (gallons per hour) = 120,000/600 = 200 gallons per hour.
which is again a constant number.

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3 years ago

What is 3 more than -5 ?<br><br><br><br> plsssss answer i will mark as brilliant

WARRIOR [948]

Answer:

-2

Step-by-step explanation:

3 0

2 years ago

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14. A satellite orbits 22, 300 miles above the equator. It completes one revolution in 24 hours. Assume that the radius of the E

quester [9]

Answer:

Displacement = 0 mi

Distance = 164,996.45 mi

Step-by-step explanation:

In this case, the displacement will be zero because the satellite goes back to its starting point after one day. If there is no distance traveled between the starting point and the ending point, then the Displacement will be zero.

When it comes to the distance, we will need to calculate the perimeter of the circle the satellite describes when making one whole turn around the earth.

The perimeter of a circle is given by the equation:

$p=2\pi r$

so we need to start by finding what the radius of the circle is. This radius if found by adding the radius of the earth and the distance above the equation the satellite is located at, so we get that:

$r=r_{earth}+h$

where h is the height of the satellite, so the radius of the circle is:

$r=22,300mi + 3,960 mi$

r=26,260 mi

so now we can use the perimeter equation to get:

$p=2\pi r$

$p=2\pi (26,260)$

So the distance traveled by the satellite in one day will be:

P=164,996.45 mi.

7 0

2 years ago

A woodchuck runs 20 m to the right in 5 s, then turns and runs 10 m to the left in 3 s. (a) What is the average velocity of the

Archy [21]

Answer:

<h2>a) Average velocity = 1.25 m/s to the right</h2><h2>b) Average speed = 3.75 m/s</h2>

Step-by-step explanation:

A woodchuck runs 20 m to the right in 5 s, then turns and runs 10 m to the left in 3 s.

Total displacement = 20 - 10 = 10 m to the right

Total time = 5+3 = 8 s

Total distance = 20 + 10 = 30 m

a) We have

Total displacement = Average velocity x Time

10 = Average velocity x 8

Average velocity = 1.25 m/s to the right

b)We have

Total distance = Average speed x Time

30 = Average speed x 8

Average speed = 3.75 m/s

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2 years ago

To convert centimeters to millimeters, you must multiply by 10. Which shows the correct graph relating the length of an object i

Zigmanuir [339]

Answer:

Step-by-step explanation:

85x 7 88 juyuhtyvus4555

4 0

2 years ago

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