1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
navik [9.2K]
3 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]3 years ago
5 0
BD=BE+ED=2x²-x+x²+6=3x²-x+6
frosja888 [35]3 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?)

You might be interested in
What is the answer to number 8.
Viktor [21]

Its 20. |-2|+4-(-2)×(7). This simplifies to 2+4+(2×7)

4 0
3 years ago
ALGEBRA 2 PLEASE HELP! QUICKLY!! I AM TERRIBLE AT ALGEBRA AND I HAVE LOADS OF STUFF TO Do TODAY CAN YOU PLEASE HELP ME WITH THIS
Genrish500 [490]
A) the posible roots of the function f(x)=x⁴-3x³-5x²+21x+22 are: 
=-1,+1,-2,+2,-11,+11,-22+22.

b)
one zero of the funtion can be: x=-1 ⇒y=0   (-1,0)

c)
other zero of the funtion is: x=-2 ⇒y=0  (-2,0)

d)
if x=0 then y=22   (0,22)

e) In the file is the graph. 


4 0
2 years ago
The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?
adell [148]

Answer: 129.33 g

Step-by-step explanation:

$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)

\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t  \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}

$$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$$

3 0
2 years ago
You draw one card from a standard 52-card deck. In how many ways could the card be face card or a six?
Nady [450]
16/25 because there are 3 face cards which have 4 different suits and 4 different suits for the number 6
8 0
3 years ago
-6 = u/ -1 +-4 what's u
yuradex [85]

Answer:

the answer to your question is U=2

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • At your high school, you randomly surveyed male students to find that they play video games a certain amount of hours per week.
    14·2 answers
  • If m1 + m3 = 154°, what is m2? Question 1 options: 26° 116° 156° 29°If m1 + m3 = 154°, what is m2?
    14·2 answers
  • What is the unit rate for the table showing the cost of movies
    6·2 answers
  • Which of the following is the graph of the quadratic function y - x? +10x+16 ?
    7·1 answer
  • A.10D Simplify the expression<br> (x - 3)2
    12·2 answers
  • Identify the scale factor when we scale up from Figure S to T. Just write the number.
    14·1 answer
  • How many solutions does the nonlinear system of equations graphed below
    13·2 answers
  • How many feet are in 120 inches?
    9·2 answers
  • You bought a shirt for $13.50 that was originally $45.00. In terms of percent, what discount did you get on the shirt?
    7·1 answer
  • The athlete jogged a distance of 4850 yards in 20 minutes. What is the time needed to cover 9215 yards at the same rate?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!