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3 years ago

What is the surface area of this figure?

Mathematics

1 answer:

Korvikt [17]3 years ago

6 0

Answer: it’s 400

Step-by-step explanation:

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Determine whether the given signal is a solution to the difference equation. Then find the general solution to the difference eq

Ulleksa [173]

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

The given equation is:

$y_{k + 2} + 8y_{k +1} - 9y_{k} = 20k + 12..(1)$

put,

$y_k = k^2\\\\y_{k+2}=(k+2)^2\\\\y_{k+1}=(k+1)^2\\\\$

$(k+2)^2+8(K+1)^2-9k^2 = 20k+12\\\\=20k+12= 20K+12\\\\$

hence y_k=k^2 is its solution.

Now,

$\to y_{k+2}+ 8y_k + 1 - 9y_k = 20k + 12$

the symbol form is:

$(E^2+8E-9)_{yk}=20k+12$

$\to m^2+8m-9=0\\\\\to m^2+(9-1)m-9=0\\\\\to m^2+9m-m-9=0\\\\\to m(m+9)-(m+9)=0\\\\\to (m+9)(m-1)=0\\\\\to m=-9 \ \ \ \ \ \ \ m=1\\$

The general solution is:

$y_k = c_1(-9)^k + c_2(`1)^k\\\\y_k =c_1(-9)^k+c_2$

The complete solution is:

$y_k=(y_k)_c+(y_k)_y\\\\y_k= c_1(-9)^k+c_2+k^2$

The answer is option b: $y_k = k^2 + c_1(-9)^k + c_2$

After solve the complete solution is:

$\bold{y_1=c_1(-9)^k+c_2+k^2.....}$

5 0

3 years ago

NEED ANSWER ASAP PLEASEEE!!

Leya [2.2K]

Answer:

ST=26

Step-by-step explanation:

RS+ST=RT

17+x+16=4x+3

x+33=4x+3

33-3=4x=x

3x=30

x=30/3

x=10

ST=x+16

ST=10+16

ST=26

7 0

3 years ago

jesse purchased a full tank of gas on Thursday . on Friday, he yook a road trip and used 1/2 of the tank. on Saturday, he did so

DIA [1.3K]

X - ( 1 / 2 )x - ( 1 / 3)x = 6x / 6 - 3x / 6 - 2x / 6 = ( 1 / 6 )x, where x is full tank of gas
The answer is 1 / 6 of the gas have left ;

4 0

3 years ago

The perimeter of an equilateral triangle is 6x - 24. Which expression represents the length of one side?

PIT_PIT [208]

Answer:

side = 2x - 8

Step-by-step explanation:

An equilateral triangle has 3 equal sides.

The perimeter is 3 times one side

In this case P = 6x - 24

Side = p/3 = (6x - 24)/3

Side = 2x - 8

3 0

3 years ago

Graph f(x)=2x and g(x)=2^x on the same coordinate plane. What is the solution to the equation f(x)=g(x) ? Enter your answer in t

Serjik [45]

Answer:

$(1,2)\:\:and\:\:(2,4)$

Step-by-step explanation:

The graph of the two functions are shown on the same diagram in the attachment above;

The solution to the equation $f(x)=g(x)$ is where the two graphs intersected.

These points are

$(1,2)\:\:and\:\:(2,4)$

8 0

3 years ago

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