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3 years ago

Which is a common denominator of 1 /4 and 3/ 5 Please help

Mathematics

2 answers:

-BARSIC- [3]3 years ago

4 0

Answer:

Step-by-step explanation:

Common denominator is just LCM

stiv31 [10]3 years ago

3 0

Answer:

1/4 and 3/5
So 20 is a common denominator

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What is the slope of the line that passes through the points (5,-25) and (10, -15)

Salsk061 [2.6K]

<h2>Answer:</h2>

All you need to do is use the slope formula: y₂ - y₁/x₂ - x₁.

$\frac{-15 - (-25)}{10 - 5}\\\\\frac{10}{5} = 2$

Always simplify the fraction!

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3 years ago

The line of best fit on a scatter plot diagram is used for?

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Answer:

It's a line that best represents your data collection. It also predicts values that may or may not be on your plot.

Step-by-step explanation:

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3 years ago

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3 years ago

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A rectangular plot of land has an area of 8/3 square miles and a length of 3/5 mile. What is the width of the plot of land?

Juli2301 [7.4K]

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3 years ago

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:

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

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2 years ago