1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
WINSTONCH [101]
4 years ago
13

Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?

Mathematics
1 answer:
Dennis_Churaev [7]4 years ago
7 0

Answer:

(x+4)^2 + (y-9)^2 = 25

Step-by-step explanation:

To write the equation of a circle, use the formula (x-h)^2+(y-k)^2 = r^2 where the center of the circle is (h, k).

This means the equation is (x--4)^2 + (y-9)^2 = r^2\\\(x+4)^2 + (y-9)^2 = r^2.

Find the radius r by dividing the diameter of 10 in 2. The radius is 5.

So the equation of the circle is (x+4)^2 + (y-9)^2 = 25

You might be interested in
Find a unit vector that has the same direction as the given vector. 8i ? j + 4k
e-lub [12.9K]

Answer with Step-by-step explanation:

a.Let given vector

a=8i-j+4k

\mid a\mid=\sqrt{(8)^2+(-1)^2+(4)^2}=9

By using the formula

Magnitude of a vector=\sqrt{x^2+y^2+z^2}

Where x=Coefficient of i

y=Coefficient of j

z=Coefficient of k

Unit vector=\hat{a}=\frac{a}{\mid a\mid}

By using the formula

The unit vector=\hat{a}=\frac{8i-j+4k}{9}=\frac{8}{9}i-\frac{1}{9}j+\frac{4}{9}k

b.Let vector b=-2i+4j+2k

\mid b\mid=\sqrt{(-2)^2+4^2+2^2}=2\sqrt 6

\hat{b}=\frac{-2i+4j+2k}{2\sqrt 6}

Length of vector=6

Therefore, the vector in the direction of <-2,4,2> with length 6 is given by =6\hat{b}=6\times \frac{-2i+4j+2k}{2\sqrt 6}

The vector in the direction of <-2,4,2> with length 6 is given by =-\sqrt 6(-i+2j+k)

c.\theta=\frac{\pi}{3}

\mid v\mid=8

Let v=v_x i+v_y j

v_x=\mid v\mid cos\theta

v_x=8cos\frac{\pi}{3}=8\times \frac{1}{2}=4

cos\frac{\pi}{3}=\frac{1}{2}

v_y=\mid v\mid sin\theta

v_y=8\times sin\frac{\pi}{3}=8\times \frac{\sqrt 3}{2}=4\sqrt 3

sin\frac{\pi}{3}=\frac{\sqrt 3}{2}

Therefore, the vector v in component form=4i+4\sqrt 3j

7 0
3 years ago
Please Help! 20 points!
Sergeeva-Olga [200]

-2m - 5m - 8 = 3 + (-7) + m

-7m - 8 = -4 + m

or

-7m - 8 = m - 4

or

-8 - 7m = -4 + m

Answer

2) -7m - 8 = m - 4

4) m - 4 = -7m - 8

5) -8 - 7m = -4 + m

4 0
4 years ago
What is the intermediate step in the form (x+a)^2=b as a result of completing the following equation? Please help.
aksik [14]

Answer:

(x+8) ^2=64

Step-by-step explanation:

that will give you your two solutions: x= -16 and x=0. I hope this helps!!!

8 0
3 years ago
BRAINLIEST TO RIGHT ANSWER
andreev551 [17]

Answer:

The best answer would actually be C

7 0
3 years ago
1111111111111111111111111111111111111111111111
hoa [83]

Answer:

the clock will represent 4.5 billion years as 2.67 hours

Step-by-step explanation:

Data provided in the question:

Total time of history of Earth = 4.5 billion years

Representation of total time of history of Earth on clock = 12 hours

Therefore,

4.5 billion years = 12 hours

or

⇒ 1 billion year =

or

⇒ 1 billion year = 2.67 hours

Hence,

the clock will represent 4.5 billion years as 2.67 hours

6 0
3 years ago
Other questions:
  • A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla. 1. How many batches can you make with 15
    15·1 answer
  • <img src="https://tex.z-dn.net/?f=2y%20%3D%20%28%20%5Cfrac%7B1%7D%7B%28%20%5Cfrac%7Bx%7D%7B3%7D%20%20%2B%203%29%7D%29%20%5E%7B2%
    14·1 answer
  • What is the measure of an interior angle in a regular octagon?
    11·1 answer
  • Use the continuous change function A ( t ) = P e r t to answer the question. You invest $10,500 in an account that grows 3.75% e
    11·1 answer
  • PLEASE HELP ME !!!!!! I NEED TO GET THIS QUESTION RIGHT !!! Which is the simplified form of x^-12?
    12·1 answer
  • Help I'm still confused no need to explain.
    9·2 answers
  • Determine the length of AS.<br> A. 12<br> B. 18<br> C. 3<br> D. 6
    11·2 answers
  • Find the center and radius of the circle with equation (x + 2)2 + (y + 7)2 = 81.
    12·1 answer
  • The value of a stock increased 1 ¼ points Monday morning. On Monday afternoon, the value of the stock decreased 1 ⅔ points. On T
    14·1 answer
  • Please help me in verify this
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!