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tia_tia [17]
4 years ago
5

Find the value of C that completes the square for x^2-2x + C

Mathematics
1 answer:
solniwko [45]4 years ago
3 0

Answer:

C = 1.

Step-by-step explanation:

x^2 - 2x = (x - 1)^2 - 1   so:

x^2 - 2x + C = (x - 1)^2 - 1 + C

So to get a perfect square  C must be 1 ( as -1 + 1 = 0):-

(x - 1)^2 - 1 + 1 = (x - 1)^2

Checking  this:

x^2 - 2x + 1

= (x - 1)(x - 1) which is a perfect square./

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a factory makes 12 bikes in 3 hours. if it keeps making bikes at the same rate, how many bikes will it have made in 8 hours?
olasank [31]

Answer:

32

Step-by-step explanation:

if they make 12 bikes in 3 hours, that means they make 12/3=4 bikes in an hour. so in 8 hours they make 4*8=32 bikes.

8 0
3 years ago
When using the Elimination
slava [35]
I believe you’re corrext
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3 years ago
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I WILL GIVE BRAINLIEST TO CORRECT ANSWER
STatiana [176]
<h2>Answer:</h2><h3><em>y = -1x - 9</em></h3><h2>Explanation:</h2>

First, we’ll need to find the <u>slope</u>.

(-5,-4) (-2,-7)

m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }

m = \frac{-4 - (-7)}{-5-(-2)}

m = \frac{-3}{3}

m = -1

Next, substitute these values into the <u>point slope equation:</u>

y - y_{1} = m(x - x_{1})

y - (-7) = -1(x - (-2))

y + 7 = -1(x + 2)

Now, convert to <u>slope intercept form (y = mx + b):</u>

y + 7 = -1x -2

  -7           -7

y = -1x - 9

4 0
3 years ago
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What is the total repayment made, including principal and interest, on a loan of $1,100 at 3.5% interest compounded annually ove
olchik [2.2K]

The total repayment made, including principal and interest is $1262.27

<h3>Compound interest</h3>

The formula for calculating the compound interest is calculated as shown below;

A = P(1+r)^t

where

P is the principal = $1100

rate = 3.5% = 0.035

time "t" =4 years

Substitute

A. = 1100(1+0.035)^4
A = 1100(1.035)^4
A = 1100(1.14752)

A = 1262.27

Hence the total repayment made, including principal and interest is $1262.27

learn more on compound interest here: brainly.com/question/24924853

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8 0
2 years ago
(-7) + b = (-11)<br><br> What is the answer?
Yanka [14]

The answer to the given expression (-7) + b = (-11) is -4

<h3>How to solve an expression</h3><h3 />

(-7) + b = (-11) = -4

  • Removing the bracket

-7 + b = - 11

  • Collecting like terms

b = -11 + 7

b = -4

Learn more about evaluating expression:

brainly.com/question/4344214

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2 years ago
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