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
Sedbober [7]
3 years ago
13

26) Write the equation of the circle with center (0, 0) and (3, 6) a point on the circle. A) x2 + y2 = 9 B) x2 + y2 = 30 C) x2 +

y2 = 45 D) x2 + y2 = 81
Mathematics
2 answers:
Rainbow [258]3 years ago
8 0

Answer:

C

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

The radius is the distance from the centre to a point on the circle.

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 6)

r = \sqrt{(3-0)^2+(6-0)^2}

  = \sqrt{3^2+6^2}

  = \sqrt{9+36}

  = \sqrt{45} ⇒ r² = (\sqrt{45} )² = 45, thus

x² + y² = 45 → C

alexdok [17]3 years ago
4 0

Answer:C) x2 + y2 =45

Step-by-step explanation:

The equation of a circle in standard form is (x-h)2+(y-k)2=r2.

Since you know the center is (0,0), you can sub this is value in for h and k, then use the point (3,6) to sub in for x and y and you will find r2 =45. Hope that helps :)

You might be interested in
What is the area of the base?
MAXImum [283]

Answer:

24 in²

Step-by-step explanation:

Hello there!

the figure shown is a triangular prism

The base is the triangle

So we need to find the area of the triangle using this formula

A=\frac{bh}{2}

where b = base and h = height

The base (triangle) has a base length of 8 inches and a height of 6 inches

Having found the information we needed, we plug it into the formula

So

A=\frac{6*8}{2} \\6*8=48\\\frac{48}{2} =24\\A=24in^2

So the area of the base is 24 in²

7 0
3 years ago
Mr. Black bought 2 magazines for $9.95 each and 1 book for $14.95. If the sales tax is 6%, what is the total cost of Mr. Black's
miss Akunina [59]

Answer:

$36.94

Step-by-step explanation:

Okay, so. This is what we do. There is two magazines and they cost 9.95 each multiply 9.95 times 2

9.95 x 2 = 19.90

Okay, then he buys a book for 14.95 we add 19.9. and 14.95

19.90 + 14.95 = 34.85

Then we have a sales tax of 6% we would multiply 34.85 time 6%

34.85 x 6% = 2.09

Then we would add. 34.85 + 2.09

34.85 + 2.09 = 36.94

Therefore your answer is $36.94

Hope this helps!!!

3 0
3 years ago
Read 2 more answers
Why is 4 4/10 greater than 32/10?
Elena-2011 [213]

Answer:

Because

Step-by-step explanation:

4 4/10 = 4.4  and  32/10 = 3.2

4.4 is bigger than 3.2 so that's why 4 4/10 is bigger.

7 0
3 years ago
Please help.. part a & b
umka21 [38]

Answer:

Part A

to the 10th power will be positive and to the 11th power is negative. When the exponent is even it will be positive. When it is odd it will be negative

Part B

The one with the negative enclosed will be positive. The second one, the exponent is only effecting the number and not the sign. The outcome will always be negative.

4 0
4 years ago
Lloyd was paid a 6% commission on sales of $95,292. How much money was he paid in commissions?
alexgriva [62]
$5717.52

You’d just take the 6 percent and make it 0.06 then multiply it by 95,292
4 0
3 years ago
Other questions:
  • (a) Solve h+2/6 = h-3/4
    10·1 answer
  • an electrician can wire on average 4.5 houses in a week. how many months will it take her to wire houses if she wires the same n
    15·1 answer
  • Graph the functions on the same coordinate axis. {f(x)=−2x+1g(x)=x2−2x−3
    6·1 answer
  • Write the equation of a line where slope = 2 and (1,3) is on the line in slope intercept form
    14·1 answer
  • Find the lcm of 7,18,21
    12·1 answer
  • The temperature is 58° F. It gets warmer by h degrees and reaches to 65° F. Find h.
    12·2 answers
  • . How many 0.5-liter glasses of water can be poured from a full 6-liter pitcher? HELPP
    12·2 answers
  • 5/7 divided by 1/7?? Plez help
    14·2 answers
  • PLS SOLOVE BRAINLEST GIVEN
    7·2 answers
  • (PLS HELP QUICK POINTS)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!