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vagabundo [1.1K]
3 years ago
6

Solve y^2+7y+12=0 by completing the square.​

Mathematics
1 answer:
kkurt [141]3 years ago
8 0

Answer:

y = -3, -4

Step-by-step explanation:

Formula is (b/2)^2

So...

(y+7/2)^2 - 1/4 = 0

Add 1/4 to each side

(y+7/2)^2 = 1/4

Square root...

y+7/2 = +-1/2

Add

y = -3, -4

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(5.6x - 4) + (16 - 2.1x)<br><br> What is the sum of this expression?
Damm [24]

\huge\text{Hey there!}

\large\textsf{(5.6x - 4) + (16 - 2.1x)}

\large\text{DROP the PARENTHESES}

\large\textsf{5.6x - 4 + 16 - 2.1x}

\large\text{COMBINE the LIKE TERMS}

\large\textsf{5.6x - 2.1x - 4 + 16}

\large\textsf{5.6x - 2.1x = \bf  3.5x}

\large\textsf{-4 + 16 = \bf  12}

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\boxed{\boxed{\large\text{Answer: \huge \bf 3.5x + 12}}}\huge\checkmark

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7 0
3 years ago
(15+6) divde 3 Evalute the expression
Tom [10]

Answer:

(15+6)/3

21/3=7

5 0
2 years ago
Read 2 more answers
5. Austin left for school at 7:35 A.M He arrived at school 15 minutes later. What time did Austin arrive at school?
snow_lady [41]

Answer:

He arrived at school at 7:50

Step-by-step explanation:

15 plus 7:35 is 7:50


8 0
3 years ago
How do I solve the inequality, graph the solution set, and write it in interval notation for -8x+3 ≥ 3(6-x)?​
Ksju [112]

Answer:

I only know how to solve it, it is -3

Step-by-step explanation:

-8x+3> or = 18-3x

3>or= 5x+18

-15> or = 5x

x>or=-3

5 0
3 years ago
Twice a number is 16 greater than two times the opposite of the number. What is the number
kodGreya [7K]

Answer:

4

Step-by-step explanation:

Let's say our number is n.

First, we have two times a number. This can be represented by 2 times our number, n, or 2*n

Next, we have that is 16 greater than ... It is hard to conceptualize what 2*n is 16 greater than, so we can move on and save this for later.

Furthermore, we have two times the opposite of the number. Opposite represents the opposite side of a number line, e.g. if the number was 5, the opposite would be -5. This can be represented by multiplying our number n by -1, or -1 * n = -n. We then take two times of this opposite, or 2 * -1 * n = -2 * n.

So far, we have 2*n is 16 greater than -2 * n. We can then say that if a first number is 16 greater than a second number, we must add 16 to the second number to get the first number. Applying that here, we can say that 2*n = -2*n + 16

We then have

2*n = -2*n + 16

We then want to separate the n from the real number(s) (16 in this case). To do that, we can add 2*n to both sides, making our equation

2*n+2*n = 16

4*n = 16

Then, we can finally divide both sides by 4 to get

n = 4

6 0
3 years ago
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