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Sunny_sXe [5.5K]
3 years ago
14

What are the solutions to the expression x^2-8x=24

Mathematics
1 answer:
labwork [276]3 years ago
6 0

Answer: x= 2(2+sqrt(10)) , x=2(2-sqrt(10)

Step-by-step explanation:

x^2-8x=24 <- subtract 24 from both sides

x^2-8x-24 <- take quadratic formulat (-2+/- Sqrt(b^2 - 4ac)/2a

-(-8) +/- sqrt((-8)^2 - 4(1*-24) all over (2*1) <- simplify

(-(-8) +/- 4sqrt(10) )/2 <- sepereate

(-(-8) +/4sqrt(10) )/2 ,  (-(-8) - 4sqrt(10) )/2 <- simplify

2(2+sqrt(10)) , 2(2-sqrt(10) =x

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I need some help on this math problem, thanks so much
bekas [8.4K]

Answer:

The answer is C.

Step-by-step explanation:

Hit 'em with the Law of Sines.

sin(A)/a = sin(B)/b.

Let's say x is equal to "A", thus 5 is "a".

sin(x)/5 = sin(B)/b.

We could go for the obvious choice for "B", which would be the 90 degrees shown. To solve for the hypotenuse which will be "b", let's use the Pythagorean Theorem:

a^2 + b^2 = c^2

5^2 + 20^2 = c^2

25 + 400 = 425

sqrt(425) = about 20.6, which we can now substitute "b" with.

sin(x)/5 = sin(90)/20.6

sin(x)/5 = 1/20.6

sin(x)/5 = 0.04854...

sin(x) = 0.2427...

You can plug in sin^-1(0.2427) into your calculator, and you should end up with something like 14.047... which equates to answer choice C.

6 0
3 years ago
What is 0.043 written as a percent?
meriva
To find a percent you multiply the decimal number by 100. OR to be easier just move the decimal number 2 places to the right.

4.3%
4 0
3 years ago
Find the lateral area of the cylinder
ZanzabumX [31]

Answer:

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.

y=-16x^2+129x+119

y=−16x  

2

+129x+119

4 0
3 years ago
Find the value of each variable in the diagram given that a ∥ b.
Alika [10]

The values are as follows:

z=50

v= 150

x= 100

y=15

w= 50

<h3>What is parallel lines?</h3>

Parallel lines are lines in a plane that are always the same distance apart.

z+130= 180   (Linear pair)

z=50

v+ 30 = 180  (Linear pair)

v= 150

x= 180- 30 - 50  (angle sum property)

x= 100

2y=30   (alternate interior angle)

y=15

w+x+2y=180  (Linear pair)

w+ 100 + 30 = 180

w= 50

Learn more parallel lines here:

brainly.com/question/16701300

#SPJ1

4 0
2 years ago
Help me out here pleaseeeeeeeee
Vera_Pavlovna [14]

Answer:

1/10

Step-by-step explanation:

Since 5 people share 1/4 gallon, this can be converted into 1/4 times 1/5. This gives 1/20 for everbody. Sheila gives hers to Maria, which means Maria now has 1/20 plus 1/20, which is 2/20, which can be simplified to 1/10.

7 0
3 years ago
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