The expression representing the height of the box is x+1.
<h3>What is volume of cuboid?</h3>
The volume of the box is the product of length, breadth and width.
The volume of the box = l x b x h
x³ + 5x² -8x - 12 = (x + 6) . (x -2) .h
= (x²+ 4x -12) .h
h = (x³ + 5x² -8x - 12) / (x²+ 4x -12)
On dividing we get
h = x +1
Therefore, the expression representing the height of the box is x +1.
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They are congruent. Distance formula works.
Dividing a whole number and an improper fraction seems tricky, but it just has one or two more steps than the normal process. First, convert the whole number "9" into a fraction by giving it a denominator of "1". It should look like 9/1. Now that both numbers are converted into like formats (improper fractions), you should have 9/1 divided by 5/3.
Second, flip 5/3 over into 3/5 - this is the "reciprocal". Now you have 9/1 divided by 3/5. It's just a matter of multiplying across the math sentence. Multiply the numerators (9x3) and the denominators (1 x 5). Your new fraction should be 27/5. This is your answer in the improper fraction format.
You can create other formats depending on the expected answer. For a mixed number, "divide your fraction UP" (27 divided by 5) which gives you 5 and 2/5. This can be further converted into 5.4 if you need your answer in decimal form.
5/8 - 17/8
combine : 5-17 / 8
subtract : 5 - 7 = -12
-12/8
apply fraction rule ( -a/b = - a/b) : - 12/8
cancel common factor 4
answer : - 3/2
I hope this helped
