Which graph represents equation (x-4)^2+(y+2)=16 F H G I

Mathematics

1 answer:

lina2011 [118]2 years ago

5 0

<h3>Answer: Choice G (lower left corner)</h3>

Why is this? Recall that (x-h)^2+(y-k)^2 = r^2 is the general template of a circle. The center being (h,k) and the radius is r.

For the equation (x-4)^2+(y+2)^2 = 16, we have a center of (4,-2) and radius 4. Note that 4^2 = 16.

The graph of choice G shows these properties so that's why it's the answer. Keep in mind that each tickmark represents 2 units. Choice I is close since the center is correct but the radius is too small.

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The graph shows how many centimeters above a table top, y, a painted spot on an automated hamster wheel is for a given number of

ale4655 [162]

Answer:

Hence, the answer is 86.42°.

Step-by-step explanation:

We are asked to find how many degrees is the painted spot turning in 0.75 s.

Let us consider that α denote the angle spot is turning in 0.75 sec.

As in 0.75 sec the height of table top is 12.

Hence we can use the trignometric identity to find the measure of angle α.

as $\tan\alpha=\dfrac{P}{B}$

where P denotes the perpendicular i.e. the height of table top.

and B denotes the base i.e. the number of seconds.

Here P=12 and B=0.75

Hence, $\tan\alpha=\dfrac{12}{0.75}=16\\\\\alpha=\arctan 16=86.42 \degree$

4 0

3 years ago

547321 rounded to nearest one thousand

Sphinxa [80]

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3 years ago

Mrs. Habib has 46.25 feet of border for a bulletin board for her classroom. the board is 37.5 feet tall and 8.3 feet wide. how m

Luba_88 [7]

Answer:

Mrs. Habib will have 22.25 feet of border left after she puts border around the board.

Step-by-step explanation:

You must find the perimeter of the board and subtract it from the amount of border she has to find how much she will have left after she uses it. The formula for perimeter is $P=2(l+w)$ , where $l=$ the length of the board, and $w=$ the width of the board. You will add those together and multiply them by 2 because there are 4 sides to a rectangle. That means this equation will look like:

$P=2(8.25+3.75)$

Now you can just solve for the perimeter.

$P=2(12)$

$P=24$

The perimeter is 24 feet. That means it will take 24 feet of border to cover her board. In order to find out how much she'll have left over, just subtract 24 from the total amount of border she has.

$46.25-24=22.25$