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maxonik [38]
3 years ago
12

How do I find the answer to 2g = 12 pt

Mathematics
1 answer:
IrinaK [193]3 years ago
6 0
We are asked to solve the given mathematical expression 2g = 12.
By applying the step by step procedure in solving the value of the x variable, we can achieve the correct answer.
We can divide both sides by two, then find g value such as shown below:
(2g = 12)/2
g = 12/2
g = 6

The answer to the equation is "g = 6".
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Show work please<br> \sqrt(x+12)-\sqrt(2x+1)=1
Nesterboy [21]

Answer:

x=4

Step-by-step explanation:

Given \displaystyle\\\sqrt{x+12}-\sqrt{2x+1}=1, start by squaring both sides to work towards isolating x:

\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2

Recall (a-b)^2=a^2-2ab+b^2 and \sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b}:

\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2\\\implies x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1

Isolate the radical:

\displaystyle\\x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1\\\implies -2\sqrt{(x+12)(2x+1)}=-3x-12\\\implies \sqrt{(x+12)(2x+1)}=\frac{-3x-12}{-2}

Square both sides:

\displaystyle\\(x+12)(2x+1)=\left(\frac{-3x-12}{-2}\right)^2

Expand using FOIL and (a+b)^2=a^2+2ab+b^2:

\displaystyle\\2x^2+25x+12=\frac{9}{4}x^2+18x+36

Move everything to one side to get a quadratic:

\displaystyle-\frac{1}{4}x^2+7x-24=0

Solving using the quadratic formula:

A quadratic in ax^2+bx+c has real solutions \displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}. In \displaystyle-\frac{1}{4}x^2+7x-24, assign values:

\displaystyle \\a=-\frac{1}{4}\\b=7\\c=-24

Solving yields:

\displaystyle\\x=\frac{-7\pm \sqrt{7^2-4\left(-\frac{1}{4}\right)\left(-24\right)}}{2\left(-\frac{1}{4}\right)}\\\\x=\frac{-7\pm \sqrt{25}}{-\frac{1}{2}}\\\\\begin{cases}x=\frac{-7+5}{-0.5}=\frac{-2}{-0.5}=\boxed{4}\\x=\frac{-7-5}{-0.5}=\frac{-12}{-0.5}=24 \:(\text{Extraneous})\end{cases}

Only x=4 works when plugged in the original equation. Therefore, x=24 is extraneous and the only solution is \boxed{x=4}

4 0
2 years ago
Round the number to the given place value. 47,709,982; millions
Rudiy27

Answer:

48,000,000

Step-by-step explanation:

47,709,982

Look at the millions place and then see if the number after that is a greater number than 4. If it isn't, round down but if it is, round up

6 0
2 years ago
Over a 12 hour period the students estimate that 2,400 bees will leave the hive. How many bees should they expect to travel west
vazorg [7]
240 divide it 

2400/10

hope this helps

8 0
3 years ago
Read 2 more answers
Find the complementary angle of the following <br>1)69°. 2)39°. 3)17°. 4)40°​
Luden [163]

Answer:

1.)21°

2.)51°

3.)73°

4.)50°

Step-by-step explanation:

1.) 90° - 69°

= 21°

2.) 90° - 39°

= 51°

3.) 90° - 17°

= 73°

4.) 90° - 40°

= 50°

3 0
3 years ago
What is r- 11 /3 = -7
Oksanka [162]
Wouldn't r = -10?
because you'd multiply -7 by 3, to get rid of the division.
then you'd add 11.
3 0
3 years ago
Read 2 more answers
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