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2x^2+3x=90 2x squared plus 3x equals 90

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Using the quadratic formula and choosing the positive root gives 6.

Posted on Apr 23, 2014

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x squared plus y squared equals four

Posted on Apr 23, 2011

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What is the length of a hypotonuse triangle with legs being 4 and 3


a^2 + b^2 = c^2
a squared + b squared = c squared, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides in a right-angled triangle.

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Mar 10, 2017 | Homework

1 Answer

2x plus 5y equals 7 3x plus 6y equals 3


1) 2x + 5y = 7
2) 3x + 6y = 3

I'm going to use the method of elimination to solve for x and y.
Multiply 1) by 3 and 2) by 2 to allow the x's to be eliminated.

1) 6x + 15y = 21
2) 6x + 12y = 6

Now subtract line 2 from line 1.

0x + 3y = 15
---- ----
3 3 divide both sides by 3 to get y by itself.
y =5.
Substitute into 1) to calculate x.
2x + 5(5) = 7
2x + 25 = 7
2x + 25 -25 = 7 - 25
2x = -18
---- ----- divide both sides by 2 to get x by itself
2 2

x = -9

Check by plugging in answer into the other equation, in this case 2)

3 (-9) + 6(5) = 3
-27 + 30 = 3
3 = 3
We did it correctly and checked to prove that we did it right.

Good luck.

Paul

Mar 12, 2015 | Office Equipment & Supplies

1 Answer

What does the equation mean a^2 b^2 = c^2?


With the insertion of a plus sign it's "a squared plus b squared is equal to c squared." Applied to the Pythagorean Theorem it's "the sum of the squares of the sides is equal to the square of the hypotenuse."

Jul 12, 2013 | Office Equipment & Supplies

1 Answer

2x squared equals 4x plus 30


Plugging the coefficients 2, -2, and -30 into the quadratic equation produces -3 and 5.

If this is homework, be sure to show your work.

Mar 27, 2013 | Office Equipment & Supplies

1 Answer

6x squared - 10x =0


Factor out 3X
3X(2X-5)=0
The expression is equal to zero if one of the factors on the left side equals zero.
1st solution: 3X=0, thus X=0
2nd solution 2X-5 = 0 if X=5/2

Sep 10, 2010 | Office Equipment & Supplies

1 Answer

Is a rectangle squared or cubed


Hello,
Some wires got crossed here. A cube is a solid (a 3D object), whereas a rectangle and a square are 2D figures. You cannot compare a 2D figure with a 3D figure any more than you can compare say a parking lot and a highrise building.

A rectangle is a quadrilateral (closed polygon with 4 sides). In a rectangle, opposite sides are parallel and equal in length. In a rectangle all 4 angles are equal, each measuring 90 degrees.
All this is true for a square, except that all sides are now equal. So you can say that a square is a special kind of rectangle, namely, a rectangle with equal sides.
Hope it helps.

Oct 08, 2009 | The Learning Company Achieve! Math &...

1 Answer

What are the keystrokes to get e squared?


You can use the value of e you know and square it, or you can use the exponential function as follows
[SHIFT][e^x] 2 [=]

Your solution is
x=(e^2 -1)/2= 3.19452804946 =3.19

May 22, 2009 | Casio FX-7400G Plus Calculator

1 Answer

Problems about areas


Let x = the width of the women's court. Then 2x is the length of the women's court.
the area of the womens court is x times 2x = 2x^2

the length of the mens court is 4 ft longer than the women's or 2x + 4
The width of the men's court is 5 ft wider than the womwn's or x + 5

The are of the mens court is 650 square feet larger that the womens so we have to add 650 to the area of the womens court so the men's and women's will be equal

Now we have area of the women's court = area of the men's court

2x^2 + 650 = (x + 5) (2x + 4) = 2x^2 + 14x + 20

The x^2 cancel out and we are left with 14X + 20 + 650 solving for x we get x = 45

Plugging x back into the length and width equations we get the length is 94 and the width is 50

Hope this helped

Good luck Loringh

Oct 03, 2008 | Computers & Internet

3 Answers

Trying to find the hypotenuse of a trangle


A squared + B squared = C squared
15 squared + 15 squared = C Squared
225 + 225 = c squared
450 = c squared
the square root of 450 is 21.21320433

May 12, 2008 | Texas Instruments TI-83 Plus Calculator

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