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1 year ago

-10 is equal to 5 subtracted from a number

Mathematics

1 answer:

kumpel [21]1 year ago

7 0

-10 is equal to 5 subtracted from a number

Assume that the number is x

So the equation will be

$-10=x-5$

we put x at first because in subtraction the number after the word "from" comes first

Now let us find x

We need to move 5 to the left side to find x, so add 5 to both sides

$\begin{gathered} -10+5=x-5+5 \\ -5=x \end{gathered}$

The number is

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2 years ago

The length of a rectangle is nine inches more than its width. Its area is 486 square inches. Find the width and length of the re

Elan Coil [88]

Answer:

width: 18 in
length: 27 in

Step-by-step explanation:

The relations between length (L) and width (W) are ...

W +9 = L

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Substituting gives ...

(W+9)W = 486

W^2 +9W -486 = 0 . . . put in standard form

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Comment on factoring

There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.

486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.

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