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notsponge [240]
3 years ago
5

Find the value of c that completes the square x2+34x+c​

Mathematics
1 answer:
ruslelena [56]3 years ago
7 0

Answer:

c = 289

Step-by-step explanation:

Given

x² + 34x

To complete the square

add ( half the coefficient of the x- term )² to x² + 34x

= x² + 2(17)x + 17²

= x² + 34x + 289 ( with c = 289 )

= (x + 17)² ← perfect square

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Louise sold some items on the internet for £94.50
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What is the height of a cylinder with a volume of 384 pi cubic inches and a radius of 8 inches? Round to the nearest tenth of an
Nataliya [291]

Answer: 1.9 inches

Step-by-step explanation:

- the equation to find the volume of a cylinder is V = π r^2 h

- so we can just change this equation around to H = V / π r^2

- so H = 384/ π 8^2 = 1.91 or 1.9

hope this helps :)

8 0
2 years ago
the angle θ is 7.2 degrees, and the circle arc s is 800 km. knowing that there are 360 degrees in a full circle what is the circ
kumpel [21]

The earth is 40000 kilometers around. There is no need to round off because the circumference already contains significant figures.

How do I calculate a circle's circumference?

A circle's diameter is multiplied by to determine its circumference (pi). You can also determine the circumference by multiplying 2radius by pi (=3.14).

Given: theta angle (central) = 7.2°; arc length S = 800 km

This indicates that an 800 km long arc is extending a circle with a 7.2° center angle ( earth in this case).

By definition, "An arc's length is a portion of a circle's diameter."

Therefore, we must first establish what percentage of the circle the specified arc length represents.

360° is a complete circle.

Thus, the fraction equals 7.2°/360°, or 1/50.

As a result, the stated arc length (800km) with a 7.2° central angle is 1/50th of the entire circle.

Thus, the whole circumference is 800 x 50, or 40000 km.

Alternately, you can calculate circumference using the formula below:

360° center angle x arc length as the circumference (theta)

Values substituted: circumference 800 = 360° 7.2°

circumference = 360°, 800°, and 7.2°, or 40000 kilometers

Therefore, the earth is 40000 kilometers around. There is no need to round off because the circumference already contains significant figures.

Learn more about Circumference

brainly.com/question/27447563

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4 0
1 year ago
Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height above ocean measured in f
lbvjy [14]

Answer:

480 feet.

Step-by-step explanation:

We are told that the function h(t)=-16t^2+16t+480 models Jason's height above ocean measured in feet as a function of time and t is the time in seconds from jumping off.

To find the height of cliff we need to substitute t=0 in our given function as at t=0 we will get Jason's height above ocean which is same as the height of the cliff.

Upon substituting t=0 in our function we will get,

h(0)=-16(0)^2+16*0+480

h(0)=-0+0+480

h(0)=480

Since, the function gives Jason's height above ocean in feet, therefore, the cliff was 480 feet high.

8 0
3 years ago
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