Consider a circle with center (2,-3) that passes through the point (5,4).

What is the equation of the described circle?
A) (x - 2)^2 + (y + 3)^2 = 58
B) (x - 2)^2 + (y + 3)^2 = 68
C) (x + 2)^2 + (y - 3)^2 = 58
D) (x + 2)^2 + (y - 3)^2 = 68

If the circle passes through the point (6,5), what is the equation of the new circle with the same center?
A) (x + 2)^2 + (y - 3)^2 = 80
B) (x + 2)^2 + (y - 3)^2 = 90
C) (x - 2)^2 + (y + 3)^2 = 80
D) (x - 2)^2 + (y + 3)^2 = 90

Answer:

AB = 5.6 cm

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 62°

Hypothenus = BC = 12 cm

Adjacent = AB =?

The lenght of side AB can be obtained by using Cos θ ratio. This is illustrated:

Cos θ = Adjacent / Hypothenus

Cos 62 = AB / 12

0.4695 = AB / 12

Cross multiply

AB = 0.4695 × 12

AB = 5.6 cm

Thus, length AB is 5.6 cm

Example 2. Simple interest on $5000 over 4 years is $1800, what is the interest rate? Example 3. If you borrow $1200 at a 5% annual interest rate, how long will it take for the total amount owed to reach $1300? Example 4. Find the principal if the simple interest in 14 days at 25% per annum is 100.

Answer:

2

Step-by-step explanation:

your dog doesn't love you because it saw what you did. it knows. be cautious around your dog from now on. it knows more than you think and sees all. I'm warning you

Answer:

Its D

Step-by-step explanation:

Answer:

A is the correct answer

.......................

Answer:

A. y+116+30=180

Step-by-step explanation:

A straight angle is 180°.

all the given angles make up a straight angle, so they add to 180°.

Answer:

c = 3 + (1.25 x h)

Answer:

The sign of each y-coordinate changed.

Step-by-step explanation:

This was a reflection over the x-axis.

If you look at point F, it is (-5, -1) the corresponding point F' is (-5,1).  Notice the numerical values of x and y are the same, but the sign of y flipped from negative to positive. The other four points all follow the same pattern.

Answer:

c

Step-by-step explanation:

[tex] \sqrt{ \frac{1}{ {x}^{2} } } \times \sqrt{ \frac{ {x}^{2} }{81} } = \frac{1}{x} \times \frac{x}{9 } = \frac{1}{9} [/tex]

The value of the expression [√(1 / x²)] · [√(x² / 81)] will be 1/9. Then the correct option is C.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below,

⇒ [√(1 / x²)] · [√(x² / 81)]

Simplify the equation, then we have

⇒ [√(1 / x²)] · [√(x² / 81)]

⇒ [1/x] · [x/9]

⇒ 1/9

The value of the expression [√(1 / x²)] · [√(x² / 81)] will be 1/9. Then the correct option is C.

More about the value of the expression link is given below.

https://brainly.com/question/23671908

#SPJ7

Answer:

[tex]36+27\pi\:\mathrm{in^2}[/tex]

Step-by-step explanation:

The figure consists of a square and a sector. We can add the areas of the square and sector to get the total area of the figure.

The area of a sector with measure [tex]\theta[/tex] in a circle of radius [tex]r[/tex] is equal to [tex]\frac{\theta}{360}\cdot r^2\pi[/tex]. Since there are 360 degrees in a circle and 90 degrees in each corner of a square, the measure of the sector is [tex]270^{\circ}[/tex].

Thus, its area is:

[tex]\frac{270}{360}\cdot6^2\cdot pi=\frac{3}{4}\cdot 6^2\cdot \pi=27\pi[/tex].

The area of a square with side length [tex]s[/tex] is given by [tex]s^2[/tex]. Therefore, the area of the circle is [tex]6^2=36[/tex] and the total area of the figure is [tex]\boxed{36+27\pi\:\mathrm{in^2}}[/tex]

Answer: 36+27in2

Step-by-step explanation:

Answer:

(3,2)

You can solve this in many ways. You can solve by graphing it, addition/elimination, or by substitution

Answer:

5 bows

Step-by-step explanation:

Total feets of ribbon = 3 1/2

Fraction required to make a bow = 2/3

Number of bows that can be made = (total ribbon / Fraction required to make a bow)

3 1/2 ÷ 2/3

7/2 ÷ 2/3

7/2 * 3/2

= 21 / 4

= 5.25

Answer:

54 square ft

Step-by-step explanation:

Find missing sides:

8+6 = 14

9-6 = 3

Find area of full rectangle:

9×8 = 72

Find the area of the missing part of the full rectangle

3×6 = 18

Find the area of the actual shape:

72-18 = 54

Area = 54 square ft

Answer: what I need to know is what is y

Step-by-step explanation: I cant solve the problem if I dont know what y is, so can you plz tell me what y is!

Answer:

10

------

y + 5

Hope this helped!

Answer:

The equation of curve is [tex]y = 3\cdot 7.389^{x}[/tex].

Step-by-step explanation:

The exponential growth function is represented by the expression described below:

[tex]y = a\cdot b^{x}[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]a[/tex] - Initial value of [tex]y[/tex].

[tex]b[/tex] - Base.

By deriving (1), we obtain an expression for the slope of the curve:

[tex]y' = a\cdot b^{x} \cdot \ln b[/tex] (2)

If we know that [tex]x = 0[/tex], [tex]y = 3[/tex] and [tex]y' = 6[/tex], then we have the following system of equations:

[tex]a = 3[/tex] (3)

[tex]a\cdot \ln b = 6[/tex] (4)

By (3) in (4):

[tex]3\cdot \ln b = 6[/tex]

[tex]\ln b = 2[/tex]

[tex]b = e^{2}[/tex]

[tex]b = 7.389[/tex]

Therefore, the equation of curve is [tex]y = 3\cdot 7.389^{x}[/tex].

Answer:

The formula for circumference of a circle is 2πr

Mark me brainliest teehee :)

The last one 8,000 + 600 + 9

Answer:

8 units²

Step-by-step explanation:

What you have is a square with two triangles. We will break them apart, calculate the area and then add them together.

Square: A = l · w

2 · 2 = 4 un²

Triangle: A = (b · h) ÷ 2

(2 · 2) ÷ 2 = 2 un²

4 un² + 2 un² + 2 un²

8 un²

Answer:

A. Right 6, Down 5

Step-by-step explanation:

I don't know how to explain this

Answer:

609 m²

Step-by-step explanation:

Area of unshaded:

(6 x 18) + ((13-6) x 7) = 157

Area of overall rectangle:

36 x 28 = 1008

Area of the chunck of rectangle not included:

11 x 22 = 242

Area of shaded:

1008 - 157 - 242 = 609

Answer: The answer is B because the triangle rotated a 90 degrees counterclockwise then got a reduction.

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

so -12--7+2+-4 is the same as -12+7+2-4. Simplify this to get -5+-2. We know that -5+-2 is equal to -7.

If this helps please mark as brainliest

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

423.32cm³

Step-by-step explanation:

Volume of a cylinder = [tex]V=\pi r^2h[/tex]

where r = radius and h = height

Given height = 11 cm

Given radius = 3.5 cm

* plug in these values into the formula *

[tex]V=\pi 3.5^211\\3.5^2=12.25 \\12.25\pi =38.48\\34.48*11=423.32\\V=423.32[/tex]

So we can conclude that the answer would be D

Answer:

2/9

Step-by-step explanation:

convert mixed number to improper fraction

8/3÷3 1/4

dividing is equivalent to multiplying by the reciprocal

8/3×1/3×1/4

reduce the numbers with the greatest common factor 4

2/3×1/3

multiply the fraction

2/3×1/3=2/9

2/9 is your answer

Answer:

1,2,4,8,16,32

Step-by-step explanation:

power of two sequence

Answer:

a

Step-by-step explanatio