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Arlecino [84]
3 years ago
14

What did the student do wrong?

Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

Answer: GJ is congruant to HK

Step-by-step explanation:

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Ian is borrowing $1000 from his parents to buy a notebook computer. he plans to pay them back at the rate of $60 per month. ken
nataly862011 [7]

A system equations that can be used to determine after how many months the boys will owe the same amount is

60 x = $ 1000

20 y = $ 600

In mathematics, a system of equations, also known as a system of simultaneous or systems of equations, is a finite system of equations for which we have sought common solutions. A system of equations can be classified in a similar way to simple equations. A system of equations finds application in our everyday life in modeling problems where unknown values can be represented in the form of variables.

In algebra, a system of equations contains two or more equations and looks for common solutions to the equations. "A system of linear equations is a set of equations that are satisfied by the same set of variables."

We need to find a system equations that can be used to determine after how many months the boys will owe the same amount

Let lan take x months to pay $ 1000 to his parents

In 1 month Ian pays $60

In x months Ian pays =

60 x= $ 1000

Let Ken take y months to pay $ 600 to his parents

In 1 month Ian pays $20

In y months Ian pays =

20 y= $ 600

Hence 60 x= $ 1000 and 20 y= $ 600 are the system of equations

<u>Learn more about system of equations here</u>:

brainly.com/question/28053213

#SPJ4

5 0
2 years ago
In problem solve the given differential equation by underdetermined coefficients y''-2y+y=xe^x
Alexus [3.1K]

Answer:

Solution is y(t)=C_1e^x+C_2xe^x+\frac{x^3e^x}{6}

Step-by-step explanation:

Given Differential Equation,

y"-2y'+y=xe^x ...............(1)

We need to solve the given differential equations using undetermined coefficients.

Let the solution of the given differential equation is made up of two parts. one complimentary solution and one is particular solution.

\implies\:y(x)=y_c(x)+y_p(x)

For Complimentary solution,

Auxiliary equation is as follows

m² - 2m + 1 = 0

( m - 1 )² = 0

m = 1 , 1

So,

y_c(x)=C_1e^x+c_2xe^x

Now for particular solution,

let y_p(x)=Ax^3e^x

y'=Ax^3e^x+3Ax^2e^x

y"=Ax^3e^x+6Ax^2e^x+6Axe^x

Now putting these values in (1), we get

Ax^3e^x+6Ae^2e^x+6Axe^x-2(Ax^3e^x+3Ax^2e^x)+Ax^3e^x=xe^x

Ax^3e^x+6Ae^2e^x+6Axe^x-2Ax^3e^x-6Ax^2e^x+Ax^3e^x=xe^x

6Axe^x=xe^x

6A=1

A=\frac{1}{6}

\implies\:y_p(x)=\frac{x^3e^x}{6}

Therefore, Solution is y(t)=C_1e^x+C_2xe^x+\frac{x^3e^x}{6}

8 0
4 years ago
What is the perimeter of a square that has a side length of 3/4 feet?
ValentinkaMS [17]

Answer:

4

Step-by-step explanation:

3/4 +3/4 +3/4 +3/4=  12/4 =4

4 0
3 years ago
Read 2 more answers
Simplify the expression 14y +6+3y
umka2103 [35]

Answer:

The simplified version is 17y + 6.

Step-by-step explanation:

14y + 6 + 3y

17y + 6

4 0
3 years ago
Read 2 more answers
Solve using perfect square factoring patterns. x2 – 12x + 36 = 4 A. {–8, –4} B. {–2, 10} C. {4, 8} D. {10, –2}
Nataliya [291]
<span> x2 – 12x + 36 = 4
(x - 6)^2 = 2^2

x - 6 = 2
x = 8

-(x - 6) = 2
-x + 6 = 2
-x = -4
x = 4

answer
</span><span>C. {4, 8}</span>
3 0
3 years ago
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