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4 years ago

What value of c makes x^2-12x+c a perfect square trinomial

Mathematics

2 answers:

klio [65]4 years ago

5 0

36; Divide b (12) by 2 and square it. 12/2= 6 , 6^2=36

erastova [34]4 years ago

4 0

Answer:

the value of C is 36

Step-by-step explanation:

$x^2-12x+c$

find out the value of 'a' that makes perfect square trinomial. use completing the square method.

In completing the square method, take the coefficient of x and divide it by 2

then square it

coefficient of x is -12

$\frac{-12}{2} =-6$

Now square it $(-6)^2= 36$

the value of C is 36

$x^2-12x+36$

$(x-6)(x-6)=(x-6)^2$

So the value of C is 36

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Estimate V55 to the nearest integer.

Tema [17]

assuming is square root of 55:

You can solve the square root and roound to the nearest number:

√55 = 7.41

Since the number after the decimal point is 4, the square root is closest to 7 than to 5.

You can also campare √55 with closest integers that are perfect square:

below 55, the closest perfect square is 49 = 7^2

above 55, the closest perfect square is 64 =8^2

55-49 = 6

64-55 = 10

Since 49 is closest to 55, it's square root is the nearest. (7)

4 0

1 year ago

A city's population is increasing at a rate of 2% per year.

Mariana [72]

Based on the information the number of people that will there after 20 years is: d.) 2.97 million.

Using this formula

P(t) = Population ×(1+ rate)^t

Where:

Population=2 million

rate=2%

time=20 years

Let plug in the formula

P(t) = 2×(1+.02)^20

P(t) = 2×(1.02)^20

P(t) = 2×1.485947

P(t) = 2.97 million

Inconclusion the number of people that will there after 20 years is: d.) 2.97 million.

Learn more about population here:brainly.com/question/25630111

6 0

3 years ago

What number divided by 6 leaves a remainder of 5, divided by 5 leaves a remainder of 4, divided by 4 leaves a remainder of 3, an

maria [59]

Answer:

59

Step-by-step explanation:

If a number is divided by $n$ and leaves a remainder $(n-1)$ , then the number $(n+1)$ will be completely divisible by $n$ .

Therefore, when we say a number $x$ , when divided by 6, it leaves a remainder 5, then ( $x+1$ ) will be a multiple of 6.

When we say a number $x$ , when divided by 5, it leaves a remainder 4, then ( $x+1$ ) will be a multiple of 5.

When we say a number $x$ , when divided by 4, it leaves a remainder 3, then ( $x+1$ ) will be a multiple of 4.

When we say a number $x$ , when divided by 3, it leaves a remainder 2, then ( $x+1$ ) will be a multiple of 3.

So, $x+1$ is a common multiple of 3, 4, 5 and 6.

Taking LCM of 3, 4, 5 and 6, we get 60.

So, the number 60 - 1 = 59 is the least such number.

3 0

3 years ago

a jug contains 2.45 liters of cranberry juice. A bottle contains 2 wholes 13/25 liters of grape juice. which container holds les

IgorLugansk [536]

The cranberry juice contains less fruit juice

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4 years ago

PLEASE HELP ME given m||n, fine the value of x. (X+12)° (4x-7)°

max2010maxim [7]

Answer:

Step-by-step explanation:

When the two lines being crossed are Parallel Lines the Consecutive Interior Angles add up to 180°.

So, x + 12 + 4x - 7 = 180.

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x = 35

7 0

3 years ago