All categories

3 years ago

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

2 answers:

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]3 years ago

7 0

Answer:

The answer is 30, I took the test

Step-by-step explanation:

You might be interested in

Pls help there are 5 pics with multiple questions inside of them pls thank you

Gnom [1K]

Answer:

1. LHJ

2. AB

3. Acute

4. Complement 30, supplement 120

5. AOD

6. 61

7. acute

8. 36

9. Octogon

Step-by-step explanation:

5 0

3 years ago

A store worker wants to pack 137 cans into boxes. Each box can hold 9 cans. The worker fills as many boxes as possible. How many

Katarina [22]

He would have 2 left over

8 0

3 years ago

Read 2 more answers

the height in feet h of a model rocket t seconds after launch is given by the equation h(t)=3+70f-16t^2

olga55 [171]

Yurrrrrrrrrrr definitely a weird number

7 0

4 years ago

Your summer job pays $8.25 per hour and you must pay for a company shirt that costs $15. If your work x hours per week, how much

EleoNora [17]

Answer:

8.25x - 15 dollars

Step-by-step explanation:

Without paying for the company shirt, you would make 8.25 * x = $8.25x. Spending $15 can be modeled by the number -15 so including the company shirt, you would make $(8.25x - 15) per week.

8 0

4 years ago

Akira and Hideo are twins with different jobs. Akira earns five-eighths of what Hideo earns, but Akira’s expenses are half of Hi

aleksklad [387]

9514 1404 393

Answer:

25%

Step-by-step explanation:

Apparently, we're to assume that anything not spent is saved.

Let Hideo's income be 1. Then Akira's income is 5/8. Akira's expenses are 60% = 3/5 of that value, so ...

Akira's expenses = (3/5)(5/8) = 3/8 . . . . . of Hideo's income

Hideo's expenses are twice this amount, so ...

Hideo's expenses = (2)(3/8) = 3/4 . . . . . of Hideo's income

That means Hideo saves 1 -3/4 = 1/4 = 25/100 = 25% of his income.

Hideo saves 25% of his income.

4 0

3 years ago