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Aleks [24]
3 years ago
15

The perpendicular line which of the following equations represents the line that passes through the point 1,-1

Mathematics
1 answer:
hammer [34]3 years ago
5 0

Answer:

The answer is the letter A

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Simon is playing a card game he needs to collect three cards each card should be a factor of 20 which set of cards should Simon
Anuta_ua [19.1K]

Answer:

4 5 and 20

Step-by-step explanation:

6 0
3 years ago
The net of a square pyramid is shown in the diagram.
LenaWriter [7]

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the general formula for the total surface area of a regular pyramid isbT. S. A. =12pl+B where p represents the perimeter of the base

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2 years ago
Read 2 more answers
Consider the differential equation x2y′′ − 9xy′ + 24y = 0; x4, x6, (0, [infinity]). Verify that the given functions form a funda
pantera1 [17]

Answer:

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

y= c_1x^4+c_2x^6

Step-by-step explanation:

Given equation is

x^2y'' - 9xy+24y=0

This Euler Cauchy type differential equation.

So, we can let

y=x^m

Differentiate with respect to x

y'= mx^{m-1}

Again differentiate with respect to x

y''= m(m-1)x^{m-2}

Putting the value of y, y' and y'' in the differential equation

x^2m(m-1) x^{m-2} - 9 x m x^{m-1}+24x^m=0

\Rightarrow m(m-1)x^m-9mx^m+24x^m=0

\Rightarrow m^2-m-9m+24=0

⇒m²-10m +24=0

⇒m²-6m -4m+24=0

⇒m(m-6)-4(m-6)=0

⇒(m-6)(m-4)=0

⇒m = 6,4

Therefore the auxiliary equation has two distinct and unequal root.

The general solution of this equation is

y_1(x)=x^4

and

y_2(x)=x^6

First we compute the Wronskian

W(x)= \left|\begin{array}{cc}y_1(x)&y_2(x)\\y'_1(x)&y'_2(x)\end{array}\right|

         = \left|\begin{array}{cc}x^4&x^6\\4x^3&6x^5\end{array}\right|

         =x⁴×6x⁵- x⁶×4x³    

        =6x⁹-4x⁹

        =2x⁹

       ≠0

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

y= c_1x^4+c_2x^6

5 0
3 years ago
you and four of your friends go to carnival. The cost to get in is $10 per person plus $2 for each ride. The cost per person can
Ivanshal [37]

f(x) = 10x + 50

multiply the cost per person by 5 ( you and 4 friends )

f(x) = 5(2x + 10) = 10x + 50




3 0
3 years ago
Find the percent of increase or decrease <br> x to 5x
g100num [7]

Answer:

Step-by-step explanation:

7 0
2 years ago
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