How to find the area of a circle ?

Answers

Answer 1

Answer:
The area of a circle is π (Pi) times the Radius squared, which is written:
A = π × r2

Or, when you know the Diameter:

A = (π/4) × D2

Or, when you know the Circumference:

A = C2 / 4π

Answer 2

Answer:

Answer:

Area of a circle = Aπr²

*You multiply the area by pi and then by the square of the radius.

**If you are given the diameter instead of the area then just divide it by 2 and substitute it in the expression.

***If you are given the circumference then: A = C²/ 4π

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Solve for x: 1/2(4x-6) - 1/4(12x+16)= -(2x-3)+9

Multiply and simplify
(5a + 2bc) (5a - 2bc)

Answers

One of the tools that's great to keep in your algebra toolbox for the rest of your life is:

The product of (sum of 2 things) (difference of 2 things) = (difference in their squares).

For example: (x + y) (x - y) = (x² - y²)

When you're trying to factor algebra expressions, it's always good to keep your
eyes open for the difference of two squares, and remember that it's going to be
(sum) x (difference) of the things that they're squares of.

Here you have (a sum) x (a difference) of the same 2 things:

(5a + 2bc) (5a - 2bc)

You can multiply them out, or just use the little tool above:

(5a)² = 25a²

(2bc)² = 4b²c²

So (their sum) x (their difference) is (25a² - 4b²c²) .

⇒ (a + b)(a - b) = a² - b²

Multiply and simplify :

$(5a + 2bc) (5a - 2bc) \n =25a^2+10abc-10abc-4bc^2 \n =25a^2-4b^2c^2$

SOLVE!: 4 |x+5| =24A:X=11 an X=-11
B:X=-11 and X=1
C:X=11 and x= -1
D:x=-11 and x=-1

I need help asap it’s algebra 2 please help!

Answers

The answer is B. X= -11 and X=1

Answer:

it too hard

Step-by-step explanation:

4×5x=24

5x=24÷4

5x=6

x=6÷5

x=1.2

Juliet opened a savings account at a bank by depositing $75. The account earns simple interest at a rate of 4% per year. The money has been in the account for 5 years, and Juliet has not made any more deposits or withdrawals. How much money is in Juliet’s account?A) $270.00
B) $78.00
C) $80.00
D) $90.00

Answers

The money has been in the account for 5 years. This means that the amount of deposit was increased for 5 times.
75*1.04*1.04*1.04*1.04*1.04=75*1.04^5≈91.3 $
In this way i prefer to chose D) $90.00 beacuse it's the nearest number

Find all relative extrema of the function. use the second derivative test where applicable. (if an answer does not exist, enter dne.) f(x) = x3 − 9x2 + 2

Answers

First find the derivative of the function. The derivative is $f'(x)=3 x^(2) -18x$ . Now set it equal to 0 to find the critical numbers. $0=3 x^(2) -18x$ . Factor to solve for the zeros of the derivative. $0=3x(x-6)$ . So 3x = 0, and x = 0, or x - 6 = 0 and x = 6. We will make a table with values for -∞<x<0, 0<x<6, 6<x<∞. Pick a value within those boundaries for each interval and find the sign, positive or negative, that results from subbing that number into the derivative. If we choose -1 in the first interval f'(-1)=21, so the function is increasing from negative infinity to 0. If we choose 1 in the second interval, f'(1)=-15, so the function is decreasing from 0 to 6. If we choose 10 in the last interval, f'(10)=120, so the function is increasing from 6 to infinity. The points of extrema are found by subbing the critical x values into the original function. We know the function is increasing from negative infinity to 0, so f(0)=2, and our max point is (0, 2). We know the function is decreasing from 6 to infinity, so f(6)=-106, and our min point is (6, -106). I do this instead of the second derivative test, but they both work.

Through: (4,2) parallel to -5x + 4y = 16

Answers

Answer:

Step-by-step explanation:

-5x+4y=16

-5x4y=16

-5*4*2

A regular hexagon has perimeter 60 in. What is the hexagon's area?

Answers

P = 60 in
P = 6 a
6 a = 60
a = 60 : 6
a = 10 in
The area :
A = 6 · a² √3 / 4
A = 6 · 10² √3 / 4 = 600√3 / 4 = 150 √ 3 in²
Answer:
The hexagon`s area is 150√3 in².