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AleksandrR [38]
3 years ago
7

When completing the square on the equation c 2 11c = 12, the resulting equation is:

Mathematics
1 answer:
QveST [7]3 years ago
6 0
C^2 + 11c = 12

c^2 + 2[11/2] c = 12

[c + 11/2] ^2 - [11/2]^2 = 12

[c +11/2]^2 = 12 +[11/2]^2

[c +11/2]^2 = 12 + 121/4

[c +11/2]^2 =[48+121]/4

[c +11/2]^2 = 169/4  ----> This is the resulting equation

Solving it you get:

c + 11/2 = +/- √(169/4)

c + 11/2 = +/- 13/2

c = 13/2 - 11/2 =2/2 = 1 and

c = -13/2 - 11/2 = - 24/2 = -12

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Awnser and show your work <3
marishachu [46]

Answer:

Team A: 25 players

Team B: 24 players

Step-by-step explanation:

Team A:

to find the total # of players of the team we need to set up a fraction. 5 out out of an unknown number of players is equal to 1/5, so we set it up as:

\frac{5}{x} = \frac{1}{5}

then we cross multiply to get

x*1 = 5*5

x=25 players

Team B

similarly to Team A

\frac{3}{x} = \frac{1}{8}

cross multiply to get

x*1=3*8

x= 24 players

6 0
3 years ago
How do you put 27% ,miles per hour , 42% and 45 in a sentence
Serjik [45]
  There are a number of possible combinations for this open-ended question, so here's an example question and answer, in which the two are non-related:
 James' car is going at 45 miles per hour, and that is 42% of his maximum speed. How much slower does James have to go to be 27% of his maximum speed?
 Amy's car used to be able to go at 45 miles per hour as 42% of her maximum speed, but due to the new upgrade, 45 miles per hour is now only 27% of her maximum speed.
7 0
3 years ago
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Vladimir79 [104]

Answer: The height of the building is 50.75 feet.

Step-by-step explanation:

The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.

For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.

The ratio will be: 5.8ft/3.2ft = 1.8125

Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:

H/28ft = 1.8125

Now we can solve this for H.

H = 1.8125*28ft = 50.75 ft

Then the height of the building is 50.75 feet.

3 0
3 years ago
An investment of $900 earns 6% annual interest and is compounded semi-annually. Write an equation
nalin [4]

Answer:

A=900(1+\frac{0.06}{2})^{2(t)}

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

First, change 6% into a decimal:

6% -> \frac{6}{100} -> 0.06

Since the interest is compounded semi-annually, we will use 2 for n. Lets plug in the values now and your equation will be:

A=900(1+\frac{0.06}{2})^{2(t)}

4 0
2 years ago
Dose anyone know how to solve this??
AfilCa [17]

Answer:

....................

5 0
3 years ago
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