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3 years ago

Solve for x: −3|2x + 6| = −12

Mathematics

1 answer:

spayn [35]3 years ago

8 0

Start with

$-3|2x+6|=-12$

Divide both sides by -3

$|2x+6|=4$

If the absolute value of a number is 4, that number can either be 4 or -4: we have the two solutions

$2x+6=4 \iff 2x=-2 \iff x=-1$

$2x+6=-4 \iff 2x=-10 \iff x=-5$

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What is the solution to he equation (y/y-4)-(4/y+4)=3^2/y^2-16

kicyunya [14]

Answer:

$y=\pm i \sqrt{7}$

Step-by-step explanation:

Given equation is $\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}$

Factor denominators then solve by making denominators equal

$\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}$

$\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}$

$\frac{y\left(y+4\right)-4\left(y-4\right)}{\left(y-4\right)\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}$

$y\left(y+4\right)-4\left(y-4\right)=9$

$y^2+4y-4y+16=9$

$y^2=9-16$

$y^2=-7$

take squar root of both sides

$y=\pm \sqrt{-7}$

$y=\pm i \sqrt{7}$

Hence final answer is $y=\pm i \sqrt{7}$ .

7 0

3 years ago

Is it possible to trisect any angle using only a compass and a straight edge

xeze [42]

Hello from MrBillDoesMath!

Answer:

No. That problem cited is one of 3 great unsolved problems of antiquity. See https://en.wikipedia.org/wiki/Angle_trisection for details.

Regards,

MrB

P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!

4 0

3 years ago

Read 2 more answers

The ratio of boys to girl in a school is 5:7 if there are 600 students, how many girls are there

larisa86 [58]

Answer:

350 girls

Step-by-step explanation:

So,

The secret to solving problems with ratios is to find the value of one unit.

5:7 = 12 units total

To find one unit, divide the total number of students by the total number of units.

600/12 = a

Simplify

50/1 = a

50 = a

The value of each unit is 50.

Now, multiply the units by the numbers in the ratio.

50(5) = b

250 = boys

50(7) = x

350 = x

There are 350 girls.

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2 years ago

Rewrite the decimal as a simple fraction in lowest terms. 0.005

ElenaW [278]

Answer:

1/200

Step-by-step explanation:

the answer is that 0.005 is 1/200

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2 years ago

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Which expression is equivalent to the square root of 2 multipllied by 5 divided by 18

gayaneshka [121]

Answer:.75

Step-by-step explanation:

2x5/18 =.55555

.556 root is .745 the five makes the 4 round up

5 0

3 years ago