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navik [9.2K]
4 years ago
9

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

Mathematics
2 answers:
Shtirlitz [24]4 years ago
5 0
BD=BE+ED=2x²-x+x²+6=3x²-x+6
frosja888 [35]4 years ago
3 0

BE = DE

2x^2-x = x^2+6

x^2-x-6 =0

(x+2) (x-3)

x = -2 or x = 3


1 solution using x = -2:

BE = 2(-2)^2 -(-2) = 10

DE = (-2)^2+6 = 10

10 +10 =20

2nd solution using x = 3

BE =2(3)^2-3 = 15

DE = (3)^2+6 =15

15+15 = 30


 The answer could be 20 or 30. Will need to try them both

 Would probably try 30 first ( maybe x can't be a negative number?)

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Suppose you have 3 quizzes and want an average of 7 points. List at least five ways this average can be accomplished. keep in mi
Sunny_sXe [5.5K]

Answer:

4,9,8 = 4+9+8 = 21

9,9,3 = 9+9+3 = 21

6,7,8 = 6+7+8 = 21

8,8,5 = 8+8+5 = 21

5,7,9 = 5+7+9 = 21

Step-by-step explanation:

The question says you get 7 points per quiz out of 3 quizzes.

7+7+7 = 21

Now that we know that we need a total score of 21, we therefore need to distribute it among the three quizzes.

Remember;

None of these scores are to be higher than 10. We need to add up scores below 10.

4,9,8 = 4+9+8 = 21

9,9,3 = 9+9+3 = 21

6,7,8 = 6+7+8 = 21

8,8,5 = 8+8+5 = 21

5,7,9 = 5+7+9 = 21

All of these gives 7 as average.

8 0
3 years ago
2+(5+y) I need help pls! If you know the answer to this problem, please explain, THANK YOU!!!
anzhelika [568]

Answer:

y= -7

Step-by-step explanation:

I'm not sure if this is what you are looking for but here you go!

If the equation is set equal to zero.

2+(5+y)=0          This is the original expression, we need to find the value for y.

5+y= -2              We move the two to the right to remove it from the left side of                    

                          the equation.

y= -7                   We repeat the same thing as we did in the last step, except              

                          with the value 5. This then gives us our y-value, which is -7.

I hope this helps!

7 0
4 years ago
Read 2 more answers
5.(x+3) = 2x-3 Help pls
Mashutka [201]

Answer:

x= -6

Step-by-step explanation:

5.(x+3) = 2x-3

5x+15=2x-3

5x-2x+15=-3

5x-2x=-3-15

3x=-3-15

3x=-18

x=-6

6 0
3 years ago
Read 2 more answers
What is 5 3/4 + 3/4?
fredd [130]

Answer:

6 1/2

Step-by-step explanation:

5 3/4 + 3/4 = 5 6/4 = 1 1/2 + 5 = 6 1/2

8 0
3 years ago
Read 2 more answers
Can some on help me on this question?
mario62 [17]

Answer:

x=10 and x-7 is the answer

Step-by-step explanation:

a)2x-7=13

2x=13+7

2x=20

x=20/2

x=10

b)3x+4=25

3x=25-4

3x=21

x=21/3

x=7

i hope it will help you

6 0
3 years ago
Read 2 more answers
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