1. The ratio of apples to oranges is 3 to 2. If you have 30 apples, how many oranges do you have?

1 answer:

7 0

1. You have 20 oranges. 3 x 10 = 30. So you do the same with oranges. 2 x 10 = 20
2. 12 cats. 20/5 x 3 = 12
3. 30,000. 3 x 3 = 9. 10,000 x 3 = 30,000
4. 15/3 x 2 = 10

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Factor the polynomial completely

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We have $2x^2-8$ .

First let us factor the 2 to obtain,

$2(x^2-4)$

We can now see clearly that the expression inside the parentheses is a difference of two squares.

We now write the 4 as 2². So that we obtain the expression,

$2(x^2-2^2)$

Recall that

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$2(x+2)(x-2)$

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Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown. What is the smallest poss

julia-pushkina [17]

Answer:

17 inches

Step-by-step explanation:

An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.

Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.

Now we know that for an obtuse triangle,

$c^2 > a^2 +b^2$