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2 years ago

How do i solve for x

Mathematics

1 answer:

GarryVolchara [31]2 years ago

7 0

Answer:

X is 36 and y is 48.

Step-by-step explanation:

So a couple of things here: both triangles are equal, and triangles always add up to 180 degrees. If we do some math:

180-108-48=24

This means that 2x-y needs to equal 24. We know what y is, it's 48 since both triangles are equal. Lets do some more math to find x.

48+24=72

72 divided by 2 = 36. 36 is the answer for x.

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Prove 2^n > n for all n equal to or greater than 1. I mostly need help with how to solve the problem when it is greater than

noname [10]

If $n$ is an integer, you can use induction. First show the inequality holds for $n=1$ . You have $2^1=2>1$ , which is true.

Now assume this holds in general for $n=k$ , i.e. that $2^k>k$ . We want to prove the statement then must hold for $n=k+1$ .

Because $2^k>k$ , you have

$2^{k+1}=2\times2^k>2k$

and this must be greater than $k+1$ for the statement to be true, so we require

$2k>k+1$

for $k>1$ . Well this is obviously true, because solving the inequality gives $3k>1\implies k>\dfrac13$ . So you're done.

If you $n$ is any real number, you can use derivatives to show that $2^n$ increases monotonically and faster than $n$ .

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3 years ago

Work out the surface area of a sphere with the diameter of 13cm

Nikitich [7]

Answer:

That would be 530.93

Step-by-step explanation:

5 0

3 years ago

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No links please chdudnvd

Alex_Xolod [135]

Its the third option y-9=-1/4(x+2) because the equation for point slope form is y-y1= m(x-x1) so because there is a negative 2 it is a positive 2. Remember a negative minus a negative is a positive. Hope this helped :)!

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3 years ago

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The graph of y=ax^2+bx+c passes through points (0,5), (1,10), and (2,19). Find a+b+c.

nataly862011 [7]

Answer: a = 2 b = 3 c = 5

Literally a+ b+c = 10, but I don't think that's what the question means to ask.

the equation is 2x² +3x + 5

Step-by-step explanation: Substitute the values of the given coordinates into the formula and use algebra (solve a system of equations by substitution and elimination) to get the values of a,b & c

y=ax²+bx+c using (0,5), (1,10), and (2,19)

5=a(0)²+b(0)+c becomes 5= 0+0 + c .so we find c = 5

10=a(1)²+b(1)+c becomes 10 = a + b + c

19=a(2)²+b(2)+c . becomes 19 = 4a + 2b + c

Substitute the 5 for c. Then rewrite

10 = a + b + 5 becomes 5 = a+ b to eliminate b multiply this be (-2)

(-2)( 5 = a+ b) .to get -10 = -2a - 2b

19 = 4a + 2b + 5 becomes 14 = 4a + 2b

_______________ Add these two

14 = 4a + 2b

<u>-10 = -2a - 2b</u><u> </u> this will eliminate the "b" term

4 = 2a divide both sides by 2 so you have a = 2

substitute in 10=a(1)²+b(1)+5 to find b

10=2(1)²+b(1)+5 .becomes 5 = 2 + b Subtract 2 from both sides

b = 3

So now you have all three values:

a = 2 b= 3 c = 5

I am attaching the graph. I hope this deserves Brainiest.

Best wishes in your studies!

4 0

3 years ago

Volunteers helped clean up 8.2 kg of trash in one neighborhood and 11 1/2 kg in another. They sent 1 1/4 kg to be recycled and t

Ivan

Answer: $18.45\ kg$ or $18\frac{9}{20}\ kg$

Step-by-step explanation:

We can convert from mixed numbers to decimal numbers:

$11\frac{1}{2}\ kg=(11+0.5)\ kg=11.5\ kg\\\\1\frac{1}{4}\ kg=(1+0.25)\ kg=1.25\ kg$

Since they cleaned up 8.2 kilograms of trash in one neighborhood and 11.5 kilograms in another neighborhood, the total trash they cleaned up was:

$Total=8.2\ kg+11.5\ kg\\\\Total=19.7\ kg$

We know that they sent 1.25 kilograms to be recycled. Then, in order to calculate how many kilograms of trash they threw away, we must subtract the total kilograms of trash they cleaned up and the kilograms they sent to be recycled.

Then:

$19.7\ kg-1.25\ kg=18.45\ kg$ or $18\frac{9}{20}\ kg$

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4 years ago

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