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trasher [3.6K]
2 years ago
10

Write equation for the center(-1,0) radius of 6

Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
3 0

Answer:

(x+1)² + y² = 36

Step-by-step explanation:

<u>Equation of a circle:</u>

(x-h)² + (y-k)² = r²

Center: (h,k)

Radius: r

Given a center of (-1,0) and a radius of 6, we have for our equation:

(x-(-1))² + (y-0)² = 6²

(x+1)² + y² = 36

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Select all the expressions that are equivalent to (2)^n+³
eimsori [14]

Answer:

The expressions which equivalent to  (2)^{n+3} are:

4(2)^{n+1}  ⇒ B

8(2)^{n} ⇒ C

Step-by-step explanation:

Let us revise some rules of exponent

  • a^{m} × a^{m}  = a^{m+n}
  • (a^{m})^{n} = a^{m*n}

Now let us find the equivalent expressions of  (2)^{n+3}

A.

∵ 4 = 2 × 2

∴ 4 =  2^{2}

∴  (4)^{n+2} =  (2^{2})^{n+2}

- By using the second rule above multiply 2 and (n + 2)

∵ 2(n + 2) = 2n + 4

∴  (4)^{n+2} =  (2)^{2n+4}  

B.

∵ 4 = 2 × 2

∴ 4 =  2²

∴  4(2)^{n+1} = 2² ×  (2)^{n+1}

- By using the first rule rule add the exponents of 2

∵ 2 + n + 1 = n + 3

∴   4(2)^{n+1} =  (2)^{n+3}

C.

∵ 8 = 2 × 2 × 2

∴ 8 =  2³

∴  8(2)^{n} = 2³ ×  (2)^{n}

- By using the first rule rule add the exponents of 2

∵ 3 + n = n + 3

∴  8(2)^{n} =  (2)^{n+3}

D.

∵ 16 = 2 × 2 × 2 × 2

∴ 16 = 2^{4}

∴  16(2)^{n} = 2^{4}  ×  (2)^{n}

- By using the first rule rule add the exponents of 2

∵ 4 + n = n + 4

∴  16(2)^{n} =  (2)^{n+4}

E.

(2)^{2n+3} is in its simplest form

The expressions which equivalent to  (2)^{n+3} are:

4(2)^{n+1}  ⇒ B

8(2)^{n} ⇒ C

3 0
3 years ago
What subtract 6 equals 354
bixtya [17]
59 times :) hoped this helped
5 0
3 years ago
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Plz help ill give BRAINLIEST it for a test fast plz
Artemon [7]

Answer:

i believe it is C 7,24,25

Step-by-step explanation:

good luck

6 0
3 years ago
Read 2 more answers
Solve the equation <br> (If possible please show work)
deff fn [24]

Answer:

x=-3

Step-by-step explanation:

So we have the equation:

-2(-x-4)+3=-7-4x

First, distribute the left side:

-2(-x)-2(-4)+3=-7-4x\\2x+8+3=-7-4x

Add values on the left side:

2x+11=-7-4x

Add 7 to both sides. The right side cancels:

(2x+11)+7=(-7-4x)+7\\2x+18=-4x

Subtract 2x from both sides. The left side cancels:

(2x+18)-2x=(-4x)-2x\\18=-6x

Divide both sides by -6:

(-6x)/-6=18/-6\\x=-3

Therefore, x equals -3.

8 0
2 years ago
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Am I right?<br> I want to know if I am right
german

Answer:

B $13

Step-by-step explanation:

Julie has 16.73  That is approximately 17 dollars

She buys a purse that is 4.12.   That is approximately 4 dollars

17 -4 = 13

She will have approximately 13 dollars left

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2 years ago
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