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3 years ago

Find the value of y.

Mathematics

1 answer:

babunello [35]3 years ago

4 0

Answer:

y = 155

Step-by-step explanation:

6x + 1 = 2x + 17

x = 4

2 · 4 + 17 + y = 180

y = 155

I hope that this helps!!

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The rectangle shown has a perimeter of 154 cm and the given area. Its length is 5 more than five times its width. Write and solv

Andreyy89

Answer:

2(L+W) = 34

L + W = 17

L*W = 52

L = 2W+5

2L + 2W = 34

L - 2W = 5

--------------- add

3L = 39

L = 13

8 0

3 years ago

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) What is the GCF of 36 and 60?<br> 4<br> 6<br> 12<br> 18

My name is Ann [436]

Answer:

Step-by-step explanation:

List out the factors of each

36: 1,2,3,4,6,9,12,18,36

60: 1,2,3,4,5,6,10,12,15,20,30,60

the highest number they both have in common is 12

8 0

3 years ago

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

Which of these is a simplified form of the equation 9y + 5 = 7 + 3y + 2y?

ArbitrLikvidat [17]

We just have to solve to get a simplified answer

we have
9y + 5 = 7 + 3y + 2y
9y +5 = 7 + 5y
9y-5y= 7-5
4y=2
so if we solve further we will not get the answer that is given in option
so option d is the write answer

3 0

4 years ago

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How would I solve this step by step?

hoa [83]

Answer:

Step-by-step explanation:

you would add 60 + 90 then subtract it from 180

4 0

3 years ago

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