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bogdanovich [222]
3 years ago
5

A number y divided by 8 is less than or equal to 1/4

Mathematics
1 answer:
levacccp [35]3 years ago
7 0

Answer:

y/8 <= 1/4

Step-by-step explanation:

multiply both sides by 8

y <= 2

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Look at picture. Does anybody know the answer I’m lost?
masha68 [24]

Let x,y be the dimensions of the rectangle. We know the equations for both area and perimeter:

A=xy=36

P=2(x+y)=36 \iff x+y=18

So, we have  the following system:

\begin{cases}xy=36\\x+y=18\end{cases}

From the second equation, we can deduce

y=18-x

Plug this in the first equation to get

xy=x(18-x)=-x^2+18=36

Refactor as

x^2-18x+36=0

And solve with the usual quadratic formula to get

x=9\pm3\sqrt{5}

Both solutions are feasible, because they're both positive.

If we chose the positive solution, we have

x=9+3\sqrt{5} \implies y=18-x=18-9-3\sqrt{5}=9-3\sqrt{5}

If we choose the negative solution, we have

x=9-3\sqrt{5} \implies y=18-x=18-9+3\sqrt{5}=9+3\sqrt{5}

So, we're just swapping the role of x and y. The two dimensions of the rectangle are 9+3\sqrt{5} and 9-3\sqrt{5}

6 0
3 years ago
Whats 400,000,000 + 560,000,000
Kobotan [32]

Answer:

960000000

Step-by-step explanation:

3 0
3 years ago
Describe a real world situation for the equation -200/+4=-50
RSB [31]
Okay so there is like no-way i am not going to be giving you the answer but i will describe a real world situation for it.

Last year Kelly had a balance of -200 she then told four of her friends that she need to raise her balance from -200. If 4  of Kelly's friends gave her the money how much money will she have left to raise her balance?

Okay so there you go hope it helped!

7 0
3 years ago
Find the equation of the line through the points (−2,5) and (4,9).
3241004551 [841]

9514 1404 393

Answer:

  2x -3y = -19

Step-by-step explanation:

Taking the differences between the given points, we have ...

  (Δx, Δy) = (4, 9) -(-2, 5) = (6, 4)

The equation of the line can be written ...

  Δy·x -Δx·y = Δy·(x1) -Δx·(y1) . . . . . for point (x1, y1) on the line

  4x -6y = 4(-2) -6(5) = -38

Dividing by 2 gives the standard form equation ...

  2x -3y = -19

_____

<em>Additional comment</em>

The original equation 4x-6y=-38 satisfies the requirements of this problem. However, "standard form" requires the numbers in the equation be mutually prime (in addition to the problem requirements). That is, they must have no common factors. Hence, we must remove the common factor of 2 in order to have true "standard form."

8 0
2 years ago
Solve equation and show steps pls
Tasya [4]
If its find R then it is 5 most likey
7 0
4 years ago
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