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
tangare [24]
3 years ago
13

The diameter of a circle has endpoints at (0,11) and (-6,-1). Write the equation of the circle in standard form.

Mathematics
1 answer:
Nata [24]3 years ago
8 0

Answer:

(x - 3)^2 + (y - 6)^2 = 17

Step-by-step explanation:

The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.

(x - 3)^2 + (y - 6)^2 = 17

You might be interested in
In a certain neighborhood, there's a sagging power line between two utility poles. The utility poles are 50 feet tall and 120 fe
e-lub [12.9K]
<h3>Answer:  33.75 feet</h3>

In fraction form, this value is equal to 135/4

33.75 ft is equivalent to 33 ft, 9 inches.

===============================================

Explanation:

Refer to the diagram below.

The key point to start with is point H, which is the vertex of the parabola.

Recall that vertex form is

y = a(x-h)^2 + k

What we'll do is plug in the vertex (h,k) = (60,30) which is the location of point H. We'll also plug in (0,45) which is the y intercept, aka the location of point C.

So,

y = a(x-h)^2 + k

y = a(x-60)^2 + 30 .... plug in vertex

45 = a(0-60)^2 + 30 .... plug in y intercept coordinates

45 = a(-60)^2 + 30

45 = a(3600) + 30

45 = 3600a + 30

45-30 = 3600a

3600a = 15

a = 15/3600

a = 1/240

This then means:

y = a(x-h)^2 + k

y = (1/240)(x-60)^2 + 30

This is the equation of our parabola. Plug in x = 30 to determine the height of point K

y = (1/240)(x-60)^2 + 30

y = (1/240)(30-60)^2 + 30

y = (1/240)(-30)^2 + 30

y = (1/240)(900) + 30

y = 15/4 + 30

y = 15/4 + 120/4

y = 135/4

y = 33.75

Therefore, the height of the power line, when it is 30 feet away from one of the poles, is 33.75 feet. This is the y coordinate of point K.

Side note: 33.75 ft = 33 ft + 0.75 ft = 33 ft + 12*0.75 in = 33 ft + 9 inches

8 0
2 years ago
Solve the equation. -7 = -1 + x/3
pochemuha

Answer:

x= -18

Step-by-step explanation:

We want to isolate x ( move everything to the other side of the equation)

-7 = -1 + x/3

-6 = x/3

x= 3*-6

x= -18

6 0
3 years ago
Read 2 more answers
A high school class consists of 5 ​seniors, 10 ​juniors, 13 ​sophomores, and 4 freshmen. Exactly 4 of the juniors are male​, and
lozanna [386]

Answer:

The probability that the pair consists of a female junior and a male sophomore is 0.096

Step-by-step explanation:

No of male juniors=4

No of female juniors=10-4=6

No of female sophomores=5

No of male sophomores=13-5=8

As per question,

Probability that the pair consists of a female junior and

a male sophomore =\frac{6C1\times8C1}{32C2}=0.096

Therefore, the probability that the pair consists of a female junior and a male sophomore is 0.096

7 0
3 years ago
A submarine dives 68 meters below its original location and then rises. the number line shows the elevations of the submarine af
Masteriza [31]
i have to see the number line tho
8 0
3 years ago
Read 2 more answers
PLEASE ANSWER ASAP WILL MARK BRAINLIEST
katrin2010 [14]

Answer:

48 hats and 104 shirts

Step-by-step explanation:

These are the equations you build from the problem:

h + s = 152

8.50h + 12s = 1656

This is how I solved them:

s= 152-h

8.5h + 12(152-h) = 1656

8.5h + 1824 - 12h = 1656

Solve for h

h= 48

Put this into first equation (h +s = 152) to get s

8 0
3 years ago
Read 2 more answers
Other questions:
  • All vertical lines are perpendicular to what type of line
    6·2 answers
  • An experiment is conducted to compare the maximum load capacity in tons​ (the maximum weight that can be tolerated without​ brea
    5·1 answer
  • A conical tank is 8 meters high. The radius of the top is 2 meters. At what rate is the water running out if the depth is 3 mete
    8·1 answer
  • Does 1 ten and 16 ones make the number 26
    11·2 answers
  • Can a rational number with rational exponent be irrational
    12·1 answer
  • 17. GradPoint
    8·2 answers
  • Marking brainliest <br><br> Why is this right important
    5·1 answer
  • I need help aaaaaaaaa
    12·2 answers
  • Find the value of x .just put the equation as the answer plz
    5·1 answer
  • Use fraction strips to find the difference. 12 1/2-8 1/8
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!