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IceJOKER [234]
2 years ago
11

Find the value of c that completes the square

Mathematics
1 answer:
Kitty [74]2 years ago
8 0

Answer:

c = 64

Step-by-step explanation:

Given

x² - 16x + c

To complete the square

add ( half the coefficient of the x- term )² to x² - 16x

x² + 2(- 8)x + 64

= (x - 8)²

Thus

x² - 16x + 64 = (x - 8)² ← a perfect square

with c = 64

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What is 1 +1 pls HELP
ElenaW [278]

Answer:

2

Step-by-step explanation:

Subject: Re: Need the math proof for 1 + 1 = 2

The proof starts from the Peano Postulates, which define the natural

numbers N. N is the smallest set satisfying these postulates:

P1. 1 is in N.

P2. If x is in N, then its "successor" x' is in N.

P3. There is no x such that x' = 1.

P4. If x isn't 1, then there is a y in N such that y' = x.

P5. If S is a subset of N, 1 is in S, and the implication

(x in S => x' in S) holds, then S = N.

Then you have to define addition recursively:

Def: Let a and b be in N. If b = 1, then define a + b = a'

(using P1 and P2). If b isn't 1, then let c' = b, with c in N

(using P4), and define a + b = (a + c)'.

Then you have to define 2:

Def: 2 = 1'

2 is in N by P1, P2, and the definition of 2.

Theorem: 1 + 1 = 2

Proof: Use the first part of the definition of + with a = b = 1.

Then 1 + 1 = 1' = 2 Q.E.D.

Note: There is an alternate formulation of the Peano Postulates which

replaces 1 with 0 in P1, P3, P4, and P5. Then you have to change the

definition of addition to this:

Def: Let a and b be in N. If b = 0, then define a + b = a.

If b isn't 0, then let c' = b, with c in N, and define

a + b = (a + c)'.

You also have to define 1 = 0', and 2 = 1'. Then the proof of the

Theorem above is a little different:

Proof: Use the second part of the definition of + first:

1 + 1 = (1 + 0)'

Now use the first part of the definition of + on the sum in

parentheses: 1 + 1 = (1)' = 1' = 2 Q.E.D.

3 0
3 years ago
A national military bureau for a certain country collects data on active members in the military. Results are published in a nat
Artemon [7]

Answer:

9.193259%

Step-by-step explanation:

In order to obtain the percentage of military members in the reserves who are​ Black, we will have to multiply the percentage of Black military members in the reserve by the percentage of military members in the reserve. This is calculated as follows:

Military members in the reserves who are​ Black (%) = 77.1771​% × 11.9119​%

                                                                                      = 9.193259%

Therefore, he percentage of military members in the reserves who are​ Black is 9.193259% .

Example

For example, let assume the total number of active members in the military is 100.

To obtain the number of military members who are in the reserves, we multiply 77.1771​% by 100. This gives us 78 approximately.

To obtain the number of military members in the reserves who are​ Black, we multiply 11.9119​% by 78 we got above who are active military members in the reserves. This gives us 9 members approximately.

I wish you the best.

3 0
3 years ago
Read 2 more answers
Find the volume of each figure. tell whether each statement is true or false.
ivolga24 [154]

Answer:

true

Step-by-step explanation:

true

5 0
3 years ago
(please help!)<br> Add −1.25+2.5<br><br> Plot the first addend and the sum on the number.
AVprozaik [17]

Answer:

the answer of this question is 1.25

3 0
2 years ago
Read 2 more answers
Add 20 and 12, then, raise the sum to the 2nd power.
zubka84 [21]
The answer to the question they gave you is D
4 0
2 years ago
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