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serg [7]
3 years ago
13

E bisects DF, DE = 2y, and EF = 8y - 3. Find DE, EF, and DF. I feel like its easy but for some reason im lost on it, geometry ne

ed help!
Mathematics
1 answer:
Oksana_A [137]3 years ago
7 0
Since they bisect, 2y = 8y-3 -6y=-3 Y=1/2 *i don't know how to format this
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A rectangle is twice as long as it is wide and has the same perimeter as a square whose area is 36 square feet larger than that
Korvikt [17]

Answer:

  • rectangle: 12 ft × 24 ft
  • square: 18 ft square

Step-by-step explanation:

You want the dimensions of a rectangle and square such that they have the same perimeter, but the square has an area of 36 more square feet. The rectangle is twice as long as wide.

<h3>Setup</h3>

Let x represent the side length of the square. Then its area is x², and the area of the rectangle is (x² -36).

This area is the product of length and width. The expression factors as ...

  rectangle area = x² -36 = (x +6)(x -6)

<h3>Solution</h3>

If we assume these factors are the dimensions of the rectangle, then the longer dimension is twice the shorter one:

  (x +6) = 2(x -6)

  18 = x . . . . . . . . . add 12-x to both sides

This is the side length of the square. The rectangle dimensions are ...

  x+6 = 18+6 = 24 . . . . feet long

  x -6 = 18 -6 = 12 . . . . feet wide

The rectangle is 12 feet wide and 24 feet long. The square is 18 feet on a side.

__

<em>Additional comment</em>

The perimeter in each case is 4x = 2((x+6) +(x -6)) = 72 ft.

The area of the rectangle is (12 ft)(24 ft) = 288 ft². The area of the square is (18 ft)² = 324 ft², a value that is 36 ft² more than the rectangle area.

<em>Alternate solution</em>

Using x for the width of the rectangle, the length is 2x and its area is x(2x) = 2x². The perimeter is 2(x +2x) = 6x, so the side length of the square is (6x)/4 = 3/2x and its area is (3/2x)² = 9/4x².

The difference is 36 square feet, so we have ...

  9/4x² -2x² = 36 = x²/4   ⇒   x = √(36·4) = 6·2 = 12 . . . . width of rectangle

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Nadusha1986 [10]

Answer:

The second chart has a greater rate of change compared to the equation presented.

Step-by-step explanation:

The first equation has a rate of change of 6. While the chart has a rate of change of 7.

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3 years ago
Write the ratio in its simplest form using the colon. 24 blue cars out of 48 cars.
Tems11 [23]

Answer:

1:2

Step-by-step explanation:

24 : 48 simplified is 1 : 2

7 0
3 years ago
Eagles 95% wolves 9/10 mustangs 0.89 which team has the greatest factor of wins show your work
Marizza181 [45]
Eagles, Wolves, Mustangs because 95%=.95 and then 9/10=.9 and then .89 is less than both of those.
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3 years ago
FIST ONE TO AWNSER AND CORRECT GETS BRAINLYIST AND 50 POINTS HURRY!!!!!!!!!!!!
ANEK [815]

Answer:

D

Step-by-step explanation:

It is because you can see the line pass through the value 0 in x-axis while 6 in y-axis which gives the first coordinate (x,y) = (0,6) and the line also past through the value of 5 in x-axis and 1 in y-axis which gives the second coordinate is (1,5).

So it is true that the line did go through at points (0,6) and (1,5).

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