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
harkovskaia [24]
3 years ago
13

Please HELP ASAP!!!!!!!

Mathematics
1 answer:
Mars2501 [29]3 years ago
6 0

Question1. We want to find the equation of the circle with center at (-3, 1) and through the point (2, 13).

Use the distance formula to find the radius.

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

r=\sqrt{(2- - 3)^2+(13-1)^2}

r=\sqrt{5^2+12^2}

r=\sqrt{25+144}

r=\sqrt{169}

r = 13

The equation of the circle is given by:

{(x - a)}^{2}  +  {(y - b)}^{2}  =  {r}^{2}

Where (a,b)=(-3,1) is the center and r=13 is the radius.

We substitute to get:

{(x + 3)}^{2}  + ( {y - 1)}^{2}  =  {13}^{2}

{(x + 3)}^{2}  + ( {y - 1)}^{2}  = 169

Question 2) The given circle has equation:

{x}^{2}  +  {(y - 6)}^{2}  = 50

We want to find the center and radius of this circle.

We need to compare to

{(x - a)}^{2}  +  {(y - b)}^{2}  =  {r}^{2}

Rewriting the given equation will make it easy for us;

{(x - 0)}^{2}  +  {(y - 6)}^{2}  = ( {5 \sqrt{2} )}^{2}

Therefore the center is (0,6) and the radius is

5 \sqrt{2}

Question 3. We want to find the diameter of the circle with equation:

{(x + 4)}^{2}  + ( {y - 9)}^{2}  = 18

By comparing to

{(x - a)}^{2}  +  {(y - b)}^{2}  =  {r}^{2}

We have

{r}^{2}  = 18

r =3  \sqrt{2}

By the diameter is twice the radius.

diameter = 2 \times 3 \sqrt{2}  = 6 \sqrt{2}

Question 4. We want to find the equation of the circle with center at (-3, 0) and diameter 20.

We use the formula:

{(x - a)}^{2}  +  {(y - b)}^{2}  =  {r}^{2}

where (a,b)=(-3,0) is the center and r=20 is the radius.

{(x -  - 3)}^{2}  +  {(y - 0)}^{2}  =  {20}^{2}

{(x  + 3)}^{2}  +  {y }^{2}  =400

Question 5) We want to find the center and radius of

{(x - 5)}^{2}  +  {(y  + 2)}^{2}  = 16

We compare this equation to

{(x - a)}^{2}  +  {(y   - b)}^{2}  =  {r}^{2}

Then we can see that:

- a =  - 5 \\ a = 5

- b = 2 \\ b =  - 2

{r}^{2}  = 16

r = 4

Therefore the center is ((5,-2) and the radius is 4.

You might be interested in
How many terms in 2-8+22<br> A. 1<br> B. 2<br> C. 3<br> D. 26
natima [27]

Answer:

6 is the answer.

is it right

4 0
3 years ago
if Penelope's car has an average fuel consumption of 3 miles per gallon and she uses 9.5 gallons how far did she drive ​
KatRina [158]

Answer:

approximately 3.16 repeated

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Use the function below to find f(4).<br> f(x)= 1/3•4^x
kenny6666 [7]

Answer:

f(4) = 85 1/3 or 85.333...

Step-by-step explanation:

To find f(4), you must substitute 4 in place of x whenever x appears:

f(x) = \frac{1}{3} * 4^{x}

f(4) = \frac{1}{3} * 4^{4}

Next, simplify the exponent:

f(4) = \frac{1}{3} * 256

Finally, multiply:

f(4) = 85 1/3 or 85.333...

5 0
3 years ago
Verify that the segments are parallel
kozerog [31]

Answer:

We know that lines AB and CD are parallel because if you expand them, we know they will never touch.

Step-by-step explanation:

4 0
3 years ago
1. 8 + 2×=17 x=<br> 2. 2/7x +4 =8
Alenkinab [10]
1. X = 4.5
2. X= 14 I’m not sure for 2 but number one is write
6 0
3 years ago
Other questions:
  • A culinary club earns $1116 from a dinner service. They sold 32 adult meals and 60 student meals. An adult meal costs twice as m
    11·1 answer
  • Are u able to answer all three questions please
    10·1 answer
  • 19. Given that the lines are parallel, what angle is congruent to angle 6?
    8·1 answer
  • Write an equation of the line with a slope of 3/4 and y-intercept of -2
    9·1 answer
  • How do you eliminate the parameter theta to find a Cartesian equation of the curve: x=sin(1/2 theta), y=cos(1/2 theta), 0 is les
    12·1 answer
  • PLS HELP!!!!What are the sine, cosine and tangent ratios of<br>angle W in the triangle below​
    10·1 answer
  • Identify the three-dimensional figure that can be made from this net. HELP PLEASE!!
    13·2 answers
  • Sarah makes 1/2 pound of caramel popcorn and puts it in a bag that holds 1/8 of a pound. Which equation can be used to find how
    7·1 answer
  • four students wrote expressions using the variable t below. If t represents a positive integer, whose expression had the greates
    12·1 answer
  • Use the table to answer the questions below. Choose the right answers.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!