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Answers by Maria W.

How to use point-slope form when you are given two sets of points? (answer)

The point slope form is written like this: y-y1=m(x-x1) where m is the slope, and (x1,y1) can be either one of the two points you are given.  First, we need to find the slope m from the given points. The slope m=rise/run=(y2-y1)/(x2-x1). Let (2,3)=(x1,y1) and (5,1)=(x2,y2).  Then...

solving equations with variables 1/3x + 2/3 = 5/3x (answer)

It is important to use parentheses when multiplying/dividing by fractions.  Do you want to solve: (1/3)x+2/3=(5/3)x or 1/(3x)+2/3=5/(3x) The answer will be different depending on where the parentheses are placed.  In the first equation, the fractions are being multiplied...

1/4x+x=-3+1/2x (answer)

The first thing you probably noticed is those pesky x's in the denominator.  To get rid of those, we will want to multiply the entire equation by x: x(1/(4x)+x)=x(-3+1/(2x))    And distribute the x's through 1/4+x2=-3x+1/2   Now move all of the...

2x * -1= x + 2 34 (answer)

The problem I believe you are trying to solve is: (2x-1)/3=(x+2)/4 The first step we want to take is to cross multiply.  When we do that, the result is: 4(2x-1)=3(x+2) Now we distribute the 4 and 3 through the parentheses: 8x-4=3x+6 Next we solve the equation...

c=3t+8/t for t (answer)

Here is a Hint: Multiply the whole equation by t.  The result will then be: ct=3t2+8 (subtract ct from both sides) 0=3t2-ct+8 Now apply the quadratic formula to solve for t. Hope this answer is useful!    

traingle has perimeter of 35 inches. The length (answer)

We have 3 Equations: Eq.1) 35=A+B+C Eq. 2) A=2B Eq. 3) C=A+5 Notice that all three equations have the variable A.  What we want to do is to replace B and C in Eq. 1 in terms of A.  If we solve Eq. 2 for B, we get that B=(1/2)A.  Note that in Eq. 3, C is...