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Rzqust [24]
4 years ago
11

Which equation describes a circle with center (4, -7) and radius 9?

Mathematics
2 answers:
andrew11 [14]4 years ago
7 0

Answer:

(x - 4)² + (y + 7)² = 81

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (4, - 7) and r = 9, thus

(x - 4)² + (y - (- 7))² = 9², that is

(x - 4)² + (y + 7)² = 81 ← equation of circle

evablogger [386]4 years ago
3 0

Answer:

81

Step-by-step explanation:

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TiliK225 [7]

Answer:

f(x) and g(x) are inverses

Step-by-step explanation:

* Lets check the inverse function

- If f(x) = y has a domain = x and a range = y, then f^-1 is the

  inverse of f with a domain  = y and a range = x

- f(x) = f^-1(x) = x

* Now lets solve the problem

∵ f(x) = 8/x

∵ g(x) = 8/x

∴ fg(x) = f(8/x)

∴ fg(x) = 8/(8/x) = 8 ÷ 8/x ⇒ change division sign to the multiplication

  sign and reciprocal the fraction after the division sign

∴ fg(x) = 8 × x/8 = x

* Now lets find gf(x)

∴ gf(x) = g(8/x)

∴ gf(x) = 8/(8/x) = 8 ÷ 8/x

∴ gf(x) = 8 × x/8 = x

∵ f(x) = f^-1(x) = x

* fg(x) = gf(x) = x

∴ f(x) and g(x) are inverses

4 0
3 years ago
If 8.045 kilometers is about 5 miles, about how many kilometers is 13 miles? Round your answer to the nearest hundredth if neces
Angelina_Jolie [31]

Answer:

20.92 km

Step-by-step explanation:

8.045 km/5 miles = 1.609 km per mils

1.609 x 13 = 20.92 km

3 0
3 years ago
I seriously need help
andrew-mc [135]

Answer:

oh is this a test?.....

Step-by-step explanation:

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3 years ago
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4vir4ik [10]

Answer:

=11600/3

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Step-by-step explanation:

dividing the mass with bricks with the three times of the lorry

8 0
3 years ago
Read 2 more answers
In ΔBCD, the measure of ∠D=90°, CB = 25, BD = 7, and DC = 24. What is the value of the sine of ∠C to the nearest hundredth?
skad [1K]

Answer: The value of the sine of ∠C is 0.28.

Step-by-step explanation:

Let's draw a triangle again (see the picture below).

Remember SOHCAHTOA? It's:

-sin = opposite/hypotenuse

-cos = adjacent/hypotenuse

-tan = opposite/adjacent.

We need to use sin in here.

The sin of C is \frac{7}{25}, which in a calculator, gives 0.28

7 0
3 years ago
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