Each point on the edge of a circle is equidistant from the center of the circle. The center of a circle is located at (6, 3). Which point on the y-axis could be on the edge of the circle if the distance from the center of the circle to the edge is 10 units?
(0, –1)
(0, 1)
(0, 5)
(0, –5)

Answer:

its A

Step-by-step explanation:

Answer:

13.125

Step-by-step explanation:

By using the Pythagorean theorem, we conclude that side x measures (5/2)*√3 units.

In the image, we can see that the equilateral triangle can be divided into two right triangles.

If each side of the equilateral triangle measures 5 units, then for the right triangles we will have that the hypotenuse measures 5 units, and the bottom side measures half of that: 2.5 units.

Now remember the Pythagorean theorem. It says that the sum of the squares of the cathetus is equal to the square of the hypotenuse.  Then we will have:

[tex]x^2 + 2.5^2 = 5^2[/tex]

[tex]x = \sqrt{5^2 - 2.5^2} = \frac{5}{2}\sqrt{3}[/tex]

Then we conclude that side x measures (5/2)*√3 units.

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Answer:

6x+54 should be the answer

Step-by-step explanation:

Answer:

14th term

Step-by-step explanation:

12÷10 = 1.2

14.4÷12 = 1.2

17.28÷14.4 = 1.2

Then it’s a geometric sequence of first term ‘V₀=10’ and common ration ‘q = 1.2’

We call it (Vn)

The general term of the sequence:

Vn = V₀×qⁿ⁻¹ = 10×(1.2)ⁿ⁻¹

To determine the term at which the sequence exceeds 100 we have to solve the equation:

Vn ≥ 100

⇔ 10×(1.2)ⁿ⁻¹ ≥ 100

⇔ (1.2)ⁿ⁻¹ ≥ 100/10

⇔ (1.2)ⁿ⁻¹ ≥ 10

⇔ ln(1.2)ⁿ⁻¹ ≥ ln(10)

⇔ (n-1)×ln(1.2) ≥ ln(10)

[tex]\Longleftrightarrow n-1\geq\frac{ln10}{ln1.2}[/tex]

[tex]\Longleftrightarrow n-1\geq12.6\\\Longleftrightarrow n\geq13.6\\\Longrightarrow n=14[/tex]

Verification:

[tex]V_{14}=10\times \left( 1.2\right)^{14-1} =106.993205379072[/tex]

Answer:

  7/2 ≤ x < 4

Step-by-step explanation:

When an increasing function is applied to both sides of an inequality, their order does not change. We can solve the given inequality as though the square root symbol were not present.

__

  5 -x > 2x -7

  12 > 3x . . . . . add x+7

  4 > x

The domain of f(x) requires that its argument be non-negative.

  5 -x ≥ 0   ⇒   x ≤ 5

  2x -7 ≥ 0   ⇒   x ≥ 7/2

Together with the domain restriction on f(x), the solution to the inequality is ...

  7/2 ≤ x < 4

Answer:

You find the volume of a cylinder with the formula of π × r² × h

Answer:

it's option B 42,938

Step-by-step explanation:

in the question the value of 2 in 135,284 is 200

200× 10 =2000

therefore the number with 2 in thousands place is option B 42,938

A percentage is a way to describe a part of a whole. The percentage increase in the number of tigers is 21.56%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The percentage change is given by the formula,

Percentage change = |(Intial Value - Final value)|/Initial Value × 100%

Percentage Change = |3200-3890|/3200 × 100% = 21.56%

Hence, the percentage increase in the number of tigers is 21.56%.

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Answer:

See below ~

Step-by-step explanation:

Finding x-intercept

Finding y-intercept

Graph (with points marked)

Step-by-step explanation:

[tex]2x - 5y = 10 \\ 2x = 10 - 5y \\ x = \frac{10 - 5y}{2} [/tex]

when y=0,-2,2,-4,4

then x=5,10,0,15,-5,

Yes

Step-by-step explanation:

Because the sides of this triangle follow the Pythagorean Theorem.

i.e.

[tex]52^{2} = {20}^{2} + {48}^{2} [/tex]

[tex]\boxed{\textbf{Therefore it IS a right triangle}} [/tex]

Answer:

Exact Form:

- 31/80

Decimal Form:

-0.3875

Step-by-step explanation:

hope this helps

sorry if wrong

Answer:

-0.3875

Step-by-step explanation:

Pa Brainless

Answer:

more than what i have

Step-by-step explanation:

Given the radius r and the tangent line AB, the length of the line OA is 24 units

The radius r and the tangent line AB meet at a right angle.

By Pythagoras theorem, we have:

AB² = OA² + r²

So, we have:

24² = OA² + 7²

Rewrite as:

OA² = 24² - 7²

Evaluate

OA² = 527

Take the square root of both sides

OA = 23

Hence, the length of OA is 24 units

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Answer:

1120^2

Step-by-step explanation:

25x17=425

425+(8x25)=625

625+(8x15)=745

745+(15x25)=1120

The label on the cone that represents the diameter of the cone is the letter C

From the figure in the complete question, the line C divides the base circle into two equal segments

The above is the same as the definition of the diameter

Hence, the label that represents the diameter of the cone is the letter C

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Answer:

C is the correct Answer

Step-by-step explanation:

Answer:

$102.00

Step-by-step explanation:

Simply multiply 68 by 50 percent

68 × 50% or 68 × .5 = 34

so . .

Add 68 + 34 = 102  

Answer: 10+17

Step-by-step explanation:

Distribute:

3(2+6)+4−1

6+18+4−1

Subtract the numbers:

6+18+4−1

6+17+4

Combine like terms:

6+17+4

10+17

solution:

10+17

Answer:

g(x) = 2ˣ⁻¹ + 3

Step-by-step explanation:

f(x) = 2ˣ

Translated 1 unit right

Translated 3 units up

Answer:

Well if its a translation on the x-axis  the formula would be g(x) = -2×

Although Functions are not my strong suit

I hope i got this right!

The correct values to replace will be 2, 6, 0, and − 8 and the quotient is x³ + 3x² − 4. Then the correct option is B.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

P(x) = x⁴ + x³ − 6x² − 4x + 8

P(x) = 1x⁴ + 1x³ − 6x² − 4x + 8

By the synthetic division, we have

2    ║        1               1               − 6             − 4                8

                                2                6                0               − 8

                1              3                0                − 4                0

                x³           3x²                                − 4                  

By the synthetic division, the correct values to replace will be 2, 6, 0, and − 8 and the quotient is x³ + 3x² − 4. Then the correct option is B.

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Answer:

s-(t+r)

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Based on the Ideal Gas Equation,

Using T :

Using P :

He can do this either by changing the temperature to 150 kelvins or by changing the pressure to 200 kilopascals.

Answer:

(- 0.9)³

Step-by-step explanation:

(- 0.9) × (- 0.9) × (- 0.9)

= (- 0.9)³

I believe it is 312, hope this helps, sorry if it doesn't!:)

The information about the how to open a comic book store should be included in the b. organizational plan.

An organizational plan serves as a way that can be used to plan for the future events to achieve the desire goals of the institution.

Therefore, option B is correct, because with the organizational plan, Korey can note all information required for the business and how the business will grow.

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