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3 years ago

7. What is the equation of a circle with a

Mathematics

1 answer:

Anni [7]3 years ago

7 0

Answer:

equation of circle is (x+5)^2+(y-3)^2=16

Step-by-step explanation:

equation of circle $(x-x_1)^2+(y-y_1)^2=r^2where r=redius of circle,[tex](x_1,y_1)$ is centre of circle

centre of circle=(-5,3)

put the value of centre and redius in the equation

equation of circle ${(x+5)^2+(y-3)^2}$ =4^2

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You are riding a roller coaster when a shoe falls off your foot. The function y=300−16t2 represents the height y (in feet) of th

Juli2301 [7.4K]

Answer:

Time to land on 11ft is 4.25 seconds

Step-by-step explanation:

Given

$y = 300 - 16t^2$

Required

Solve for t when height is 11ft

This implies that $y = 11$

So: substitute 11 for y in $y = 300 - 16t^2$

$11 = 300 - 16t^2$

Collect Like Terms

$16t^2 = 300 - 11$

$16t^2 = 289$

Express both sides as squares

$4^2 * t^2 = 17^2$

$(4t)^2 = 17^2$

Take square roots of both sides (ignore negative)

$4t = 17$

Solve for t

$t = \frac{17}{4}$

$t = 4.25$

Hence, time to land on 11ft is 4.25 seconds

8 0

3 years ago

My age if I am half as old as two more than twice Mack's age if Mack is m years old.

pentagon [3]

Answer:

You are m + 1 years old.

Step-by-step explanation:

Let's say that you are x years old, and Mack is m years old.

x = 1/2( two plus twice m)

x = 1/2(2 + 2m)

x = 1 + m

x = m + 1

Hope this helps!

6 0

3 years ago

Read 2 more answers

You earned 90% on a science quiz. You answered 27 questions correctly. How many questions were on the test?

Scilla [17]

Answer:

There were 30 questions on the test.

Step-by-step explanation:

1. Set up your equation: 27/90 = y/100

2. Next you want to cross multiply: 2700 = 90y or 270 = 9y

3. Divide 270 by 9 to find your y: y = 30

There were 30 questions on the test.

7 0

3 years ago

Fill in the blank. In the triangle below, y=__. Round your answer to two decimal places.

Kobotan [32]

To solve this we use trigonometric functions that would relate the hypotenuse y and the given values. For this case we use cosine function which is expressed as:

cosine theta = adjacent side / hypotenuse
cosine 52 = 35 / y
y = 35 / cos 52
y = 56.85

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3 years ago

Read 2 more answers

(06.04 MC) Dennis drew the line of best fit on the scatter plot shown below: What is the approximate equation of this line of be

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

In order to write the equation of this line, we need to pick 2 points on the graph where the line goes right through the intersection of the grids. Actually, you only need 1 of these, because the line goes through at (0, 15). Another point then can be (6, 6). Locate this point so you know what I means when I say that the line goes right through where the grids intersect at x = 6 and y = 6 (as opposed to somewhere in the middle of one of these grids). Find the slope between these 2 points:

$m=\frac{6-15}{6-0}=-\frac{9}{6}=-\frac{3}{2}$

Since there's only one choice with that slope, that is the choice you want.

5 0

3 years ago