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25x  - 15   = 60    add 15 to both sides

25x  = 75.......divide both sides by 25

x  = 3

The diagonals of a parallelogram bisect each other....therefore...

2x^2  - 3x  = x^2  + 10    simplify as

x^2 - 3x  - 10  = 0     factor

(x - 5) ( x + 2)  = 0

Setting each factor to 0 and solving for x, we have that x = 5  or x  = -2

Therefore we have two possible values for BD

If  x  = 5  ...BD  =  2 [ (5)^2 + 10]  =  2 [ 35 ]  = 70 units

If x = - 2, .....BD  = 2 [ (-2)^2 + 10  ] =  2 [ 14 ]  =  28 units

We can solve with a proportion

12   / [ 18 + 3/4 ]  =   M  / [ 28 + 1/8 ]      cross-multiply

12 [ 28 + 1/8 ]   = [ 18 + 3/4 ] M

12 [ 225 / 8 ]  = [75 / 4 ] M      mutiply through by 8

12 * 225  =  150 M

2700  =  150 M     divide both sides by 150

18  = M   ⇒  18 motors in  28 + 1/8 hrs

Hello Rosala, it is good to see you :)

I have played with this question for quite a while and it is driving me nuts  LOL   

I'd be interested to see someone else answer this or if you get an answer at college I would like to see that too :)

Let the shorter leg=L

The longer leg =L+4

The Hypotenuse=L+8

[L+8]^2 =L^2 +[L+4]^2        By Pythagoras's Theorem

Solve for L:
(L + 8)^2 = L^2 + (L + 4)^2

Expand out terms of the right hand side:
(L + 8)^2 = 2 L^2 + 8 L + 16

Subtract 2 L^2 + 8 L + 16 from both sides:
-16 - 8 L - 2 L^2 + (L + 8)^2 = 0

Expand out terms of the left hand side:
-L^2 + 8 L + 48 = 0

The left hand side factors into a product with three terms:
-((L - 12) (L + 4)) = 0

Multiply both sides by -1:
(L - 12) (L + 4) = 0

Split into two equations:
L - 12 = 0 or L + 4 = 0

Add 12 to both sides:
L = 12 or L + 4 = 0

Subtract 4 from both sides:
L = 12            or           L = -4 (Since this is negative, discard it)

So, Legs of the triangle are: Shortest =12 cm, Longest=12+4=16 cm, Hypotenuse=12+8=20 cm

The point of the joke is that the kid has 6 fingers on one hand, therefore he is hiding his hand in his pants pocket.

P=1.18F+10.12       Just substitute 25 and 70 for F

P =1.18*25 + 10.12

p =39.62% Minimum percentage.

P =1.18*70 + 10.12

P =92.72% Maximum percentage.

In this case, P is just a linear function, so minimum occurs when F=25 and maximum occurs when F=70. If P was a non linear function you would need to use calculus. 

It's cool I'm glad you are good

Could you draw the graph, please so I can understand the concept better?

138 Degrees F was the fluctuation between the lowest temp.of -23 and the highest temp. T

32F - (-23) =55 F below the freezing point, so :

T = 138 - 55 = 83 F - The highest temperature.

Hi UndertaleButtercup32

It is good that you solved them yourself and also good that you told us that you no longer needed help but please leave the actual question alone next time. I mean don't strike it out because some people .. like ProMagma may still like to play with it :)

Thanks ProMagma :)

Thank you so much!

Time =Distance / Speed

Time = 200 / 122.9863

Time =1.6262 hours

-23 + 138 = 113

The hottest temperature recorded was 113 degrees Farenheight.

BC can be counted as "negative" years, so going back in time makes them increase. That means the man's father was born in 485 BC.

BD = \(\sqrt{3x^{2}-3x+10}\) . This is because, with the Pythagorean theorem, you add the 2 legs of a right triangle and take the square root to get the hypotenuse of it. This only applies if ABCD is a rhombus.

I can solve for x and y here!

This is an equilateral triangle. All angles = 60 degrees. So we know 25x - 15 = 60. To find x, we need to isolate and then divide by the coefficient. To isolate, we add 15. After we do that, we divide by the coefficient, 25. Can you finish it?