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
svlad2 [7]
3 years ago
6

The point (7, 4) lies on a circle centered at the origin. Write the equation of the circle and state the radius.

Mathematics
1 answer:
k0ka [10]3 years ago
7 0

Given:

The point (7, 4) lies on a circle centered at the origin.

To find:

The equation of the circle and the radius of the circle.

Solution:

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The point (7, 4) lies on a circle centered at the origin. So, the distance between the points (7,4) and (0,0) is equal to the radius of the circle.

r=\sqrt{(0-7)^2+(0-4)^2}

r=\sqrt{(-7)^2+(-4)^2}

r=\sqrt{49+16}

r=\sqrt{65}

The standard form of the circle is

(x-h)^2+(y-k)^2=r^2            ...(i)

Where, (h,k) is the center of the circle and r is the radius of the circle.

Putting h=0, k=0 and r=\sqrt{65} in (ii), we get

(x-0)^2+(y-0)^2=(\sqrt{65})^2

x^2+y^2=65

Therefore, the equation of the circle is x^2+y^2=65 and its radius is r=\sqrt{65}.

You might be interested in
Log25x-log5=2<br><br> Pplllleeeeeaaaassseee
Andreyy89
Since no base is stated, assume base 10
remember
loga-logb=log(a/b)
also
log_a(b)=c translates to a^c=b
and log(a^z)=zlog(a)

log25x-log5=2 means
log_{10}(25x)-log_{10}(5)=2 translates to
log_{10}( \frac{25x}{5} )=2 simplies to
log_{10}(5x)=2 translates to
10^2=5x expands to
100=5x
divide both sides by 5
20=x
4 0
3 years ago
Read 2 more answers
Anna made 400 quarts of lemonade. She poured the lemonade into containers. Each container holds 4/7 of a quart. How many contain
julsineya [31]
400÷4/7=700
you want divide the totals amount of lemonade among pitchers that only hold 4/7 of the lemonade. if the container held 1 qt, you would divide the total by 1
4 0
3 years ago
Read 2 more answers
hi! so, yes i do pay attention in class, although i do not understand this equation. May someone please break it down and help m
swat32

\bf \left[ (3^2)^2 \right]^2\implies 3^{2\cdot 2\cdot 2}\implies 3^8\implies 6461

5 0
3 years ago
Life tests on a helicopter rotor bearing give a population mean value of 2500 hours and a population standard deviation of 135 h
stira [4]

Answer:

The percent of the parts are expected to fail before the 2100 hours is 0.15.

Step-by-step explanation:

Given :Life tests on a helicopter rotor bearing give a population mean value of 2500 hours and a population standard deviation of 135 hours.

To Find : If the specification requires that the bearing lasts at least 2100 hours, what percent of the parts are expected to fail before the 2100 hours?.

Solution:

We will use z score formula

z=\frac{x-\mu}{\sigma}

Mean value = \mu = 2500

Standard deviation = \sigma = 135

We are supposed to find  If the specification requires that the bearing lasts at least 2100 hours, what percent of the parts are expected to fail before the 2100 hours?

So we are supposed to find P(z<2100)

so, x = 2100

Substitute the values in the formula

z=\frac{2100-2500}{135}

z=−2.96

Now to find P(z<2100) we will use z table

At z = −2.96 the value is 0.0015

So, In percent = .0015 \times 100=0.15\%

Hence The percent of the parts are expected to fail before the 2100 hours is 0.15.

5 0
3 years ago
URGENT! WILL MARK BRAINLIEST!
Sergeu [11.5K]

Answer:

Hi! Your answer will be : 599.37!

Step-by-step explanation:

8 0
4 years ago
Other questions:
  • I don’t understand number 5
    12·1 answer
  • Answer that equals 27.36
    8·1 answer
  • Choose the replacement for x and y that makes this equation a true statement: 4x − 5y = −69
    9·1 answer
  • Find the total surface area.<br> Thanks!
    8·2 answers
  • Find the sum of the digits of the number 6+66+666+6666 + ... +666...66, where the last number contains 100 digits.
    12·1 answer
  • What is equivalent to y+0.32y
    10·2 answers
  • Ivan and Javier manipulated the rational expression
    11·1 answer
  • CAN SOMEONE TRANSLATE THESE INTO EQUATIONS PLSS!!!
    6·1 answer
  • I need help with this question can you help me
    10·1 answer
  • What is the equation of the additive relationship represented by this table.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!