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3 years ago

The width of a rectangle is half the length. The perimeter of the rectangle is 30. Find both dimensions.

Mathematics

1 answer:

Likurg_2 [28]3 years ago

7 0

Answer:

Width=5 Length=10

Step-by-step explanation:

Because we find perimeter by Length + Width x 2, in order to find out the width and the length, we need to remove x2. After that, we get fifteen because we divided thirty by 2. We then need to divide 15 by 3 because we need 1/3 of 15 (whatever that may be) for the width and the we need double of the width for the length which would be 2/3. 1/3 of 15 =5. When you double that, you get 10 for length. So width=5 and Length=10.

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Three polynomials are factored below, but some coefficients and constants are missing. All of the missing values of a, b, c, and

mariarad [96]

9514 1404 393

Answer:

(a, b, c, d) = (1, -4, 1, -2)
(a, b, c, d) = (1, -4, 1, 2)
(a, b, c, d) = (1, -4, 2, 6)

Step-by-step explanation:

Once you remove the common factor from the terms, you are looking for factors of the remaining constant term that have a sum equal to the coefficient of the linear term. These factors are the constants in the binomial factors.

1. 8 = (-4)(-2) ⇒ x^2 -6x +8 = (x -4)(x -2)

(a, b, c, d) = (1, -4, 1, -2)

2. -8 = (-4)(+2) ⇒ 3x^3 -6x^2 -24x = 3x(x -4)(x +2)

(a, b, c, d) = (1, -4, 1, 2)

3. -12 = (-4)(3) ⇒ 2x^2 -2x -24 = 2(x -4)(x +3) = (x -4)(2x +6)

(a, b, c, d) = (1, -4, 2, 6) or (2, -8, 1, 3)

3 0

3 years ago

In a bowl, there are 3 peaches, 2 apples, 6 lemons, and 4 plums. If 1 piece of fruit is to be selected at random, what is the pr

wolverine [178]

All together there are 15 pieces of fruit
out of 15, 6 of them are lemons.
the probability that the fruit will be a lemon is
6/15
which reduces to
2/5

3 0

4 years ago

There are 54 players in a beach volleyball club. Nine of the players cannot attend a game night. The coach needs to make even te

Irina-Kira [14]

Answer:

7/9

Step-by-step explanation:

There are 54 players.

Dividing 54 into 6 gives:54/6=9teams

But 9 players are not at the game,

So 54-9=45

Dividing 45 players into teams of 6 players 45/6=7.5 that is 7 teams and 3 players

Therefore the fraction of players in sixth at the game is=7/9

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3 years ago

Consider the expression: (x + y + 3) × (y + 1).

Vladimir79 [104]

Answer:

1 and 2) After multiplying (x+y+3)(y+1) we have

xy+x+y^2+4y+3

Which is an equivalent expression after applying the distributive property.

As we can see we have an one of the variables squared, so we obtain an Parabolic Cillinder

4 0

3 years ago

The median is the same thing as?

dusya [7]

Answer:

The median is NOT the same thing as a quartile.

The median is a measure of center.

5 0

3 years ago