All categories

3 years ago

Is c^2 - 6c +9 a perfect square?

Mathematics

2 answers:

katrin [286]3 years ago

6 0

Answer:(c-3)(c-3) yes

Step-by-step explanation:

C²-6c-9

(c²-3c-)(3c+9)

c(c-3)-3(c-3)

(c-3)(c-3)

Anni [7]3 years ago

3 0

Step-by-step explanation:

${c}^{2} - 6c + 9 \\ = {c}^{2} - 2 \times 3 \times c + {3}^{2} \\ = (c - 3)^{2} \\$

Therefore, $c^2 - 6c +9$ is a perfect square.

You might be interested in

I have k quarters, five less quarters than nickels and one more than twice as many dimes as quarters. Find the value of the coin

Alenkinab [10]

Answer:

(35k + 20) cents

Step-by-step explanation:

First of all, let us have the value of each unit:

1 quarter = 25 cents

1 nickel = 5 cents

1 dime = 10 cents

Given that number of quarter = k

Quarters are 5 lesser than Nickels, so number of nickels = k+5

One more than twice as many dimes as quarters:

k = 2 $\times$ Number of Dimes + 1

So, number of dimes = $\frac{1}{2}(k-1)$

Value of quarters = $25 \times k$ cents

Value of nickels = $5 \times (k+5) = (5k+25)\ cents$

Value of dimes = $\frac{1}{2}(k-1) \times 10 = (5k-5)\ cents$

So, total value of coins =

$25k + 5k +25 +5k-5\\\Rightarrow (35k+20)\ cents$

5 0

3 years ago

Read 2 more answers

Find the value of x in the given

Ierofanga [76]

Check the picture below.

Make sure your calculator is in Degree mode.

7 0

2 years ago

, list the first five terms of each sequence, and identify them as arithmetic or geometric.

Serhud [2]

Answer:

The first 5 terms are -6,-25,-44,-63 and -82

The sequence is arithmetic

Step-by-step explanation:

Given that A(n + 1) = A(n) − 19 for n ≥ 1 and A(1) = −6

A(1) = -6

A(2) = A(1) − 19 = -6 - 19 = -25

A(3) = A(2) − 19 = -25 - 19 = -44

A(4) = A(3) − 19 = -44 - 19 = -63

A(5) = A(4) − 19 = -63 - 19 = -82

So the first 5 terms are -6,-25,-44,-63 and -82

If they are in arithmetic the common difference will be same, if geometric common ratio will be same.

Let us check common difference,

-25-(-6) = -19

-44-(-25) = -19

-63-(-44) = -19

-82-(-63) = -19

So common difference is same, so the sequence is arithmetic.

3 0

3 years ago

Complete the inequality 17/20 ___ 88%

Margarita [4]

Answer:

17/20 < 88%

Step-by-step explanation:

17/20 = .85

.85 < .88

17/20 < 88%

5 0

3 years ago

Read 2 more answers

If f(×) = 3x + 7, which of these is the inverse of f(x)?

Snowcat [4.5K]

Answer:

First equate 3x + 7 to any unknown

3x + 7 = P

Then make x the subject of the formula

3x + 7 = P

3x + 7-7= P-7

3x = P-7

3x ÷ 3 = (P-7) ÷ 3

x = (P-7) ÷3

Then interchange x with the unknown which I have as P

x = (P-7) ÷ 3

P = (x-7) ÷ 3

Then inverse of f(x)

is;

f-1(x) = (x-7) ÷ 3

Thank you.

BY GERALD GREAT.

5 0

2 years ago