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
Sauron [17]
3 years ago
13

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

Mathematics
2 answers:
nikklg [1K]3 years ago
3 0
Refer to the diagram shown below.
BE = 2x² - x
DE = x² + 6

The intersecting diagonals bisect one another.
Therefore BE = DE, so that
2x² - x = x² + 6
x² - x - 6 = 0
Factorize.
(x + 2)(x - 3) = 0
x = -2, or x = 3.

When x = -2,
BE = 2(-2)² - (-2) = 10
DE = (-2)² + 6 = 10
Therefore BD = 20

When x = 3;
BE = 2(3²) - 3 = 15
DE = 3² + 6 = 15
Therefore BD = 30

Answer: Either 20 or 30.

Andrej [43]3 years ago
3 0

Answer:

Shes right, it is 30.

Step-by-step explanation:


You might be interested in
Find the missing endpoint if S is the midpoint of RT <br><br>R(-9,4) and S(2,-1) ; Find T​
liraira [26]

Answer:

T is at (13,-6)

Step-by-step explanation:

x-coordinate of T: from -9 to 2, there's 11 units, so you add 11 to 2 to find the x-coordinate of T, which is 13.

y-coordinate of T: from 4 to -1 there's -5 units, so you subtract 5 from -1 to find the y-coordinate of T, which is -6.

4 0
3 years ago
Lilly was working on a report on Italian and Spanish scientists. She decided to find a 96 percent confidence interval for the di
agasfer [191]

Answer:

The answer is "Option A and Option B".

Step-by-step explanation:

In question 1:

In all cases, the entire population is measured so that the actual medium discrepancy could be measured as well as an interval of trust cannot be used.

This issue would be that she calculated the ages with all representatives of both classes, such that she measured a whole population. It's not necessary.

In question 2:

When the p-value is 0.042. At 90% trust and 92% trust level 11 (p-value below 0.10 and 0.08) are not included. however the biggest confidence level of 92%. Consequently, the largest trust level where the 11 is Not included in the trust interval is 92% trust.

6 0
2 years ago
Find the sum: (3x^2+2x+3)+(x^2+x+1)
elena-s [515]

Answer:

 4x2 + 3x + 4

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   4 • 4 = 16

Step-2 : Find two factors of  16  whose sum equals the coefficient of the middle term, which is   3 .

-16+-1=-17

-8+-2=-10

-4+-4=-8

-2+-8=-10

-1+-16=-17

1+16=17

2+8=10

4+4=8

8+2=10

16+1=17

Final result :

4x2 + 3x + 4

3 0
2 years ago
A violin student records the number of hours she spends practicing during each of nine consecutive weeks: 6.2 5.0 4.3 7.4 5.8 7.
spin [16.1K]

Answer:

A) classify the value 1.2 as an outlier, because it is more than 1.5 × IQR below the first  quartile.

Correct we satisfy that 1.2 <1.7 the lower limit

Step-by-step explanation:

Assuming this complete question: A violin student records the number of hours she spends practicing during each of nine consecutive weeks:

6.2 5.0 4.3 7.4 5.8 7.2 8.4 1.2 6.3

For this case we need to sort the data first on increasing way and we got:

1.2, 4.3, 5.0, 5.8, 6.2, 6.3, 7.2, 7.4, 8.4

For this case we have 9 values the median would be on the 5 position:

Median = 6.2

The first quartile would be 5 since we analyze 1.2, 4.3, 5.0, 5.8, 6.2 and the middle point is 5.0

The third quartile would be 7.2 since we analyze 6.2, 6.3, 7.2, 7.4, 8.4 and the middle point is 7.2

Then the interquartile rnage would be:

IQR = Q_3 -Q_1= 7.2-5=2.2

And 1.5 IQR = 1.5*2.2=3.3

The lower limit on this case would be:

LL= Q_1 -1.5 IQR= 5-3.3=1.7

And our value is 1.2 is lower than the lower limit 1.7

Considering the smallest data value (1.2) and using the 1.5 × IQR rule, we would:

A) classify the value 1.2 as an outlier, because it is more than 1.5 × IQR below the first  quartile.

Correct we satisfy that 1.2 <1.7 the lower limit

B) not classify the value 1.2 as an outlier, because it is not more than 1.5 × IQR below  the first quartile.

False 1.2 is more than 1.5 IQR below the first quartile

C) classify the value 1.2 as an outlier, because it is more than 1.5 × IQR below the  median.

False, we analyze if is an outlier comparing with the Q1 or Q3 not with the median

D) classify the value 1.2 as an outlier, because it is more than 1.5 × IQR below the  mean.

False we analyze if is an outlier comparing with the Q1 or Q3 not with the mean

5 0
2 years ago
I’ll give brainliest to the right answer plz help
BigorU [14]

9514 1404 393

Answer:

  water

Step-by-step explanation:

Comparison of numbers can be done a couple of different ways. One way is to subtract one from the other. If the difference is positive, the minuend (first number) is the larger of the two.

Another way is to divide one number by the other. If the ratio is more than 1, then the numerator is the larger number.

For numbers in scientific notation, the division is perhaps the easiest. Here, that gives you ...

  \displaystyle\frac{\text{water mass}}{\text{oxygen mass}}=\frac{2.99\times10^{-26}\text{ kg}}{2.66\times10^{-26}\text{ kg}}=\frac{2.99}{2.66}\approx 1.12

This value is greater than 1, so the mass of a water molecule is greater.

__

You will note that the multipliers (10^-26 kg) cancelled because they were equal. If they are unequal, the usual rules of exponents apply.

5 0
2 years ago
Other questions:
  • Square root of 8a^8=
    9·1 answer
  • Can somebody solve this for me $1.12 for 9.2 ounces
    14·1 answer
  • Double a number is equal to the number decreased by five. Find the number. A) -10 B) -5 C) 5 D) 10
    15·2 answers
  • Anyone please help me? tysm!
    12·1 answer
  • The base of pyramid A is a rectangle with a length of 10 meters and a width of 20 meters. The base of pyramid B is a square with
    14·1 answer
  • Sin(-136°)=___.<br><br> 1. sin (-316°)<br> 2. -sin 44°<br> 3. -sin 316°<br> 4. -cos 44°
    12·1 answer
  • 75% of 7th graders are returning to school. If there are 300 7th graders returning to school, how many total 7th graders are the
    5·1 answer
  • Factor <img src="https://tex.z-dn.net/?f=3x%5E2y%2B28xy%5E2%2B32y%5E3" id="TexFormula1" title="3x^2y+28xy^2+32y^3" alt="3x^2y+28
    11·2 answers
  • Calculate the perimeter of the following shape.<br>6cm<br>y=<br>10 cm<br>12 cm<br>5 cm​
    5·1 answer
  • La mitad de un número más tres cuartos del número es 3 menos que cuatro tercios del número. Encuentre el número.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!