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3 years ago

Write the standard equation of a circle with center (0,3) and radius 7

Mathematics

1 answer:

schepotkina [342]3 years ago

5 0

$x^{2} + y^{2} = ... \\ {x}^{2} + {y}^{2} = {7}^{2} \\ {x}^{2} + {y}^{2} = 49$

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a plane can fly 7 miles per minute. the plane will fly 8 trips, and each trip is 810 miles. how many hours will the plane fly? s

Gnesinka [82]

Answer: 12 hours and 24 Minutes

Step-by-step explanation:

7*60 = 420

810/420 = 1.9285

93- 100 = 53-60

subtract 40 from 93.

1.53*8 = 12.24

Answer: 12 hours and 24 Minutes

3 0

3 years ago

addison and kelsey are running on a path modeled by x^2+y^2-10x-18y-378=0, where the distance is in meters. what is the maximum

bulgar [2K]

The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.

The equation of a circle of <u>radius r and center</u> $(x_0,y_0)$ is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

The diameter is <u>twice the radius</u>, and is the <u>maximum distance</u> between two points inside a circle.

In this problem, the circular path is modeled by:

$x^2 + y^2 - 10x - 18y - 378 = 0$

We complete the squares to place it in the standard format, thus:

$x^2 - 10x + y^2 - 18y = 378$

$(x - 5)^2 + (y - 9)^2 = 378 + 25 + 81$

$(x - 5)^2 + (y - 9)^2 = 484$

Thus, the radius is:

$r^2 = 484 \rightarrow r = \sqrt{484} = 22$

Then, the diameter is:

$d = 2r = 2(22) = 44$

The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.

A similar problem is given at brainly.com/question/24992361

7 0

2 years ago

Object A has 50 kg while Object B has 75 kg. They were pushed with the same amount of force. Which will have greater acceleratio

raketka [301]

Answer:

Object A will have greater acceleration.

Step-by-step explanation:

Given that,

The mass of object A = 50 kg

The mass of object B = 75 kg

They were pushed with the same amount of force.

We know that, the force acting on an object is given by :

F = ma

Here F is same for both mass

$m_1a_1=m_2a_2$

Mass and acceleration have inverse relation. It means the object whose mass is less will have greater acceleration. Hence, the acceleration is greater for object A.

3 0

3 years ago

Triangle ABC Is similar to triangle DEF solve for r

Ymorist [56]

since they're similair then similair sides will be proportional

CB is similair to EF

\frac{6}{8}86 = \frac{3}{4}43

same thing if you try with the hypotenuse AB similair to DE

\frac{13.5}{18}1813.5 = \frac{3}{4}43

So, if you multiply r (DF) by 3/4 you will get the similair side AC

rx 3/4=12

r= 12÷ 3/4

4 0

2 years ago

I need help with this

HACTEHA [7]

Answer:

1. measure of angle E is 90 degrees

2. Measure of angle F + measure of angle G is 90 degrees

Step-by-step explanation:

Angle E is 90 degrees because it is marked as a right angle (the square)

A triangle has 180 degrees so if E is 90 degrees then the other 2 also have to equal 90 degrees

8 0

2 years ago

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