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# How do you divide a decimal from a decimal? (answer)

10.5 is equal to the fraction 21/2, so you can multiply 1.79 by two and divide by 21.

# d+ 2d - 8 = 0 (answer)

As has been noted above, the problem can be solved both factoring and the quadratic formula.  If you can't factor or remember the formula, you can also solve it using a process called completing the square. First, divide the equation through by a, and subtract c from both sides.  In this case,...

# i don't understand how to find absolute values. I have a problem: 10=|4x=6|. How do I do it? (answer)

The absolute value of x is x if x is positive and -x if x is negative.  For example, |5|=5 and |-4|=4. I'm going to assume that for your problem you meant 10=|4x-6|.  What you need to do is try the problem assuming that 4x-6 is positive and that 4x-6 is negative.  Then you need to check both...

# What equation of a line would give you the table below? (answer)

The answer is y=3x+1. There are several ways to find the answer to this question, and a few different formats in which to put the answer.  I prefer slope-intercept form, so I will explain it by that method. y=mx+b m=slope b=y-intercept The y-intercept is the value of y where...

# de has endpoints d(0,3) and e(0,12). find the length of de and round to nearest tenth (answer)

The formula for the length of a line segment is naturally the same as the formula for the distance between two points, or sqrt((x1-x0)^2+(y1-y0)^2).  In this instance: sqrt((0-0)^2+(12-3)^2))=sqrt(0+81)=9 As a way of understanding the solution, you may want to graph the two points and see...

# A cube has how many corners (answer)

A cube has 8 vertices (corners, points), 12 edges (line segments), and 6 faces (planes).  One formula that works for any solid with flat sides and no holes is vertices+faces-edges=2.

# determine whether f and g are inverse functions by evaluation (fog)(x) and (gof)(x) (answer)

Two functions are inverses if the composition of the functions equals x.  In other words, f and g are inverse functions if fog(x)=gof(x)=x. f(g(x))=(7/2)(2x+8)/7-4=x+4-4=x g(f(x))=(2((7/2)x-4)+8)/7=(7x-8+8)/7=x So, f and g are inverses.

# The length of a rectangle is 6 cm less than twice its width. Find the dimensions of this rectangle if its area is 108 cm^2. (answer)

The first step is always to assign letters to the variables.  We can call length L and width W. Since all units are in cm, unit conversion is unnecessary. Next, set up some equations.  L=2W-6 because of the first sentence of the problem.  Length times width equals area, so L*W=108. Now...