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3 years ago

Find the value of c that makes each trinomial a perfect square.

Mathematics

1 answer:

gavmur [86]3 years ago

6 0

Answer:

The answer to your question is the letter a.

Step-by-step explanation:

Data

x² + 12x + c

If this trinomial is a perfect square trinomial, the third term must be half the second term divided by the square root of the first term, and to the second power.

-Get half the second term

12x/2 = 6x

-Divide by the square root of the first term

6x/x = 6

-Express the result to the second power

6² = 36

-Write the perfect square trinomial

(x² + 12x + 36) = (x + 6)²

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75% of what number is 200

Lerok [7]

We try to find the number that 75% of it is 200 by set the number that we try to find by A
-> A x 75/100 = 200
-> (A x 75)/100 = 200
-> A x 75 = 200 x 100
-> A x 75 = 20,000
->A = 20,000/75
-> A = 266.6666...
So that the number that 75% of it is 200 : 266.6667

4 0

3 years ago

Read 2 more answers

Please help me I have been stuck on this question for ages

Finger [1]

Answer:28 green and 35 red

Step-by-step explanation:

Given

If there are r red counter and g green counter then

Probability of drawing a green counter is $P(g)=\frac{4}{9}$

and $P(g)=\frac{\text{No of g counter}}{\text{Total no of counter}}$

Thus $\frac{\text{No of g counter}}{\text{Total no of counter}}=\frac{4}{9}$

$\frac{g}{g+r}=\frac{4}{9}$

$\Rightarrow 9g=4g+4r$

$\Rightarrow 5g=4r\quad \ldots(i)$

Also if 4 red and 2 green counter is added the probability of drawing a green counter is

$P(g)=\frac{10}{23}=\frac{\text{No of g counter}}{\text{Total no of counter}}$

$\Rightarrow \frac{10}{23}=\frac{g+2}{g+2+r+4}$

$\Rightarrow \frac{10}{23}=\frac{g+2}{g+r+6}$

$\Rightarrow 10g+10r+60=23g+46$

$\Rightarrow 10r+14=13g\ quad \ldots(ii)$

Substitute the value of g in equation (ii)[/tex]

$\Rightarrow 10\times \frac{5}{4}g+14=13g$

$\Rightarrow \frac{25}{2}g+14=13g$

$\Rightarrow g=28$

Therefore $r=35$

Thus there 28 green counter and 35 red counter

6 0

3 years ago

During a period of 80 minutes, a music station played 8 minutes of commercials. What is the ratio of music they played to commer

igomit [66]

Answer:

Step-by-step explanation:

80 minutes.......8 minutes played commercials....that means (80 - 8) = 72 minutes played music

so the ratio of music to commercials is : 72/8 which reduces to 9/1...so the ratio is 9:1 <=== ur answer

** pay attention to the wording, because if it would have asked for the ratio of commercials to music, it would have been 8/72....ratio would be 1:9

8 0

3 years ago

Evan spent 15.89 on 7 pounds of birdseed how much did the bird seed cost per pound

Ugo [173]

Evan spent $2.27 on each pound of bird seed. To solve this divide the cost of the bird seeds by the pounds, which will lead you to this answer. Hope this helped! :)

8 0

3 years ago

Help please asap i will give brainlist

7nadin3 [17]

28°

a triangle = 180°
180°-140°= 40°
180°-68°= 112°
180°-112°-40°= 28°

3 0

3 years ago