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2 years ago

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In parallelogram ABCD , diagonals AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E, BE=2x2−x , and DE=x2+6 .

2 answers:

kondaur [170]2 years ago

8 0

<span>The diagonals of a parallelogram bisect each other. So we just equate the two equations BE and DE 2x^2 - x = x^2 + 6 2x^2 - x - x^2 - 6 = 0 x^2 - x - 6 = 0 This is quadratic eqn. So we obtain. (x - 3) ( x + 2) = 0 Setting each to 0 and solving for x, we have that x = 3 and x = -2 So we have two possible values for BD. But Since BE = DE then we can simply double each If x = 3 BD = 2 (2(3)^2 - 3) = 2 ( 18 - 3) = 30 units If x = - 2 BD = 2((-2)^2 -3 ) = 2 (8 - 3) = 10 units</span>

4vir4ik [10]2 years ago

7 0

Answer:

The answer is 30, I took the test

Step-by-step explanation:

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devlian [24]

V=π(r)2 (h)
3.141592(5x+3)2 (4x+2)

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2 years ago

The coordinates of a rectangle, LMNO, are L(- 1,3), M(2,3), N(2, - 5), and 0(- 1,- 5).

ryzh [129]

Answer:

length = 8; width = 3

perimeter = 22

area = 24

Step-by-step explanation:

L(- 1,3), M(2,3)

LM = |-1 - 2| = 3

M(2,3), N(2, - 5)

MN = |-5 - 3| = 8

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2 years ago

Sally is making 15 individual blueberry cheesecakes. How many pounds of blueberries will be in each cheesecake if 5 1/4 pounds o

VARVARA [1.3K]

Answer:

0.35 pounds in each cheesecake

Step-by-step explanation:

Number of individual blueberry cheesecakes = 15

Pounds of blueberries = 5 1/4 pounds

How many pounds of blueberries will be in each cheesecake if 5 1/4 pounds of blueberries are divided equally among them?

= 5 1/4 ÷ 15

= 21/4 ÷ 15

= 21/4 × 1/15

= (21*1)/(4*15)

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4 0

2 years ago

What is the LCM of 16a 3 b and 24ab 2?

vitfil [10]

Do the operation:

3, 16, 24 | 2

3, 8, 12 | 2

3, 4, 6 | 2

3, 2, 3 | 2

3, 1, 3 | 3

1, 1

Answer:

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Hope it helped,

Happy homework/ study/ exam!

6 0

3 years ago

1.) If x varies directly as y and x = 35 when y = 7. What is the value of y when x = 25?

Fiesta28 [93]

Answer:

y = 5

Step-by-step explanation:

$x \ \alpha \ y$

$=> x = k \times y\\=> 35 = k \times 7\\=> k = 5$

$x = k \times y$

$=>25 = 5 \times y\\ =>5 = y$

8 0

3 years ago

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