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3 years ago

What is -(2 a + 2 b) + (4 a +4 b

Mathematics

2 answers:

Masja [62]3 years ago

8 0

answer: 2a+3b

I really hope this helped

tia_tia [17]3 years ago

3 0

Answer:

2a+2b is the answer

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GH bisects FGI. Find the measure of HGI •15° •21° •10° •8°

tester [92]

Answer:

m<HGI=21°

Step-by-step explanation:

we know that

If GH bisects m<FGI then

m<FGH=m<HGI

substitute the values

(2x+1)°=(3x-9)°

solve for x

3x-2x=1+9

x=10°

The measure of angle HGI is equal to

(3x-9)° ------> substitute the value of x

3*10-9=21°

m<HGI=21°

3 0

3 years ago

Read 2 more answers

Y'all I need help with this !!!

Zanzabum

Answer:

see explanation

Step-by-step explanation:

The opposite angles of an inscribed quadrilateral are supplementary, thus

5x + 20 + 7x - 8 = 180

12x + 12 = 180 ( subtract 12 from both sides )

12x = 168 ( divide both sides by 12 )

x = 14

Thus

∠ RQP = 10x = 10(14) = 140°

∠PSR = 180° - 140° = 40° ( opposite angles are supplementary )

∠ SRQ = 7X - 8 = 7(14) - 8 = 98 - 8 = 90°

∠ QPS = 5x + 20 = 5(14) + 20 = 70 + 20 = 90°

6 0

2 years ago

Read 2 more answers

Water is leaking out of a large barrel at a rate proportional to the square rooot of the depth of the water at that time. If the

sdas [7]

Answer:

It will take about 35.49 hours for the water to leak out of the barrel.

Step-by-step explanation:

Let $y(t)$ be the depth of water in the barrel at time $t$ , where $y$ is measured in inches and $t$ in hours.

We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

$\frac{dy}{dt}=-k\sqrt{y}$

where $k$ is a constant of proportionality.

Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:

Multiply by $\frac{1}{\sqrt{y}}$

$\frac{1}{\sqrt{y}}\frac{dy}{dt}=-k$

Multiply by $dt$

$\frac{1}{\sqrt{y}}\cdot dy=-k\cdot dt$

Take integral

$\int \frac{1}{\sqrt{y}}\cdot dy=\int-k\cdot dt$

Integrate

$2\sqrt{y}=-kt+C$

Isolate $y$

$y(t)=(\frac{C}{2} -\frac{k}{2}t)^2$

We know that the water level starts at 36, this means $y(0)=36$ . We use this information to find the value of $C$ .

$36=(\frac{C}{2} -\frac{k}{2}(0))^2\\C=12$

$y(t)=(\frac{12}{2} -\frac{k}{2}t)^2\\\\y(t)=(6 -\frac{k}{2}t)^2$

At t = 1, y = 34

$34=(6 -\frac{k}{2}(1))^2\\k=12-2\sqrt{34}$

So our formula for the depth of water in the barrel is

$y(t)=(6 -\frac{12-2\sqrt{34}}{2}t)^2\\\\y(t)=\left(6-\left(6-\sqrt{34}\right)t\right)^2\\$

To find the time, $t$ , at which all the water leaks out of the barrel, we solve the equation

$\left(6-\left(6-\sqrt{34}\right)t\right)^2=0\\\\t=3\left(6+\sqrt{34}\right)\approx 35.49$

Thus, it will take about 35.49 hours for the water to leak out of the barrel.

5 0

3 years ago

The probability that it will rain tomorrow is. The probability that our team will win tomorrow's

iogann1982 [59]

Answer:

1/2 * 3/5 = 3/15 = 1/5

Step-by-step explanation:

4 0

3 years ago

Is 0.25 the decimal of 4/16

frosja888 [35]

Yes.
A fraction means that you divide the top number (numerator) by the bottom number (denominator). So, if you divide 4 by 16, then the answer is 0.25
Another way to get this answer is if you know your basic fraction-decimal conversions. If you reduce the fraction by dividing both the numerator and the denominator by the same number (in this case, 4 works), then you get the fraction 1/4, which is also equal to 0.25
Good luck with your math, and I hope this helps :)

4 0

2 years ago

Read 2 more answers

What is -(2 a + 2 b) + (4 a +4 b​

What is -(2 a + 2 b) + (4 a +4 b