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My name is Ann [436]
3 years ago
13

Your family wants to purchase a new laptop with

Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0

Answer:

The laptop will not fit in the case.

Step-by-step explanation:

We need to find the width of the laptop to know if it fits in the case. We have:

<u>For the laptop</u>:

h: is the height of the laptop = 10 inch

d: is the widescreen of the laptop (diagonal) = 17 inch

w: is the width of the laptop =?

<u>For the laptop case</u>:

H: is the height of the laptop case = 10.5 inch

W: is the width of the laptop case = 13 inch

So, the width of the laptop can be found by using Pitagoras:

d^{2} = w^{2} + h^{2}

w = \sqrt{(17 inch)^{2} - (10 inch)^{2}} = 13.7 inch

Hence, the laptop is 13.7 inches wide.                              

Therefore, since the laptop is wider than the case, the laptop will not fit in the case.

 

I hope it helps you!

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Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is g
olchik [2.2K]

If x is the first number in the progression, and r is the common ratio between consecutive terms, then the first four terms in the progression are

\{x,xr,xr^2,xr^3\}

We want to have

\begin{cases}xr^2-x=12\\xr^3-xr=36\end{cases}

In the second equation, we have

xr^3-xr=xr(r^2-1)=36

and in the first, we have

xr^2-x=x(r^2-1)=12

Substituting this into the second equation, we find

xr(r^2-1)=12r=36\implies r=3

So now we have

\begin{cases}9x-x=12\\27x-3x=36\end{cases}\implies x=\dfrac32

Then the four numbers are

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Determine wheather the given lines are parallel or not. Write the reasons .​
kenny6666 [7]

Answer:

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7 0
3 years ago
Solve the system with elimination 4x+3y=1 -3x-6y=3
Nuetrik [128]

Answer:

x = 1, y = -1

Step-by-step explanation:

If we have the two equations:

4x+3y=1 and -3x - 6y = 3, we can look at which variable will be easiest to eliminate.

y looks like it might be easy to get rid of, we just have to multiply 4x+3y=1  by 2 and y is gone (as -6y + 6y = 0).

So let's multiply the equation 4x+3y=1  by 2.

2(4x + 3y = 1)\\8x + 6y = 2

Now we can add these equations

8x + 6y = 2\\-3x-6y=3\\

------------------------

5x = 5

Dividing both sides by 5, we get x = 1.

Now we can substitute x into an equation to find y.

4(1) + 3y = 1\\4 + 3y = 1\\3y = -3\\y = -1

Hope this helped!

5 0
3 years ago
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