​ Quadrilateral ABCD is a rectangle. BE=4x+3 and AC=12x−10.


What is BE?


Enter your answer in the box.

\(n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=9\\ d=-2 \end{cases} \\\\\\ a_n=9+(n-1)(-2)\implies a_n=9-2n+2\implies a_n=11-2n\)

Answer:

C

Step-by-step explanation:

Answer:

the correct answer is B and E

Step-by-step explanation:

1. The probability of selecting a 3 of Diamonds is 1/52.

2. The probability of selecting a Club or Diamond is 1/2.

3. The probability of selecting a number smaller than 9 is 9/13.

1. The probability of selecting a 3 of Diamonds:

There is only one 3 of Diamonds in the deck, and the total number of cards in the deck is 52. Therefore, the probability of selecting a 3 of Diamonds is 1/52.

2. The probability of selecting a Club or Diamond:

There are 13 Clubs and 13 Diamonds in the deck, making a total of 26 cards. The probability of selecting a Club or Diamond is the ratio of the number of favorable outcomes (Club or Diamond) to the total number of possible outcomes (52 cards). Therefore, the probability is 26/52, which simplifies to 1/2.

3. The probability of selecting a number smaller than 9:

There are four suits in the deck (Clubs, Diamonds, Hearts, and Spades), and each suit has cards numbered 2 to 10. So, there are 4 suits * 9 cards per suit = 36 cards that are numbered smaller than 9.

The probability of selecting a number smaller than 9 is the ratio of the number of favorable outcomes (36 cards) to the total number of possible outcomes (52 cards). Therefore, the probability is 36/52, which simplifies to 9/13.

For more such questions on probability visit:

https://brainly.com/question/23286309

#SPJ8

Answer:

a = B/(2R)

Step-by-step explanation:

2Ra = B

a = B / (2R)

The measure of the length EF of the triangle is; 21

We are given the the triangle BCD and we are told that;

E is the midpoint of BD.

F is the midpoint of CD

Now, since we have those midpoints, it means that by the concept of similar triangles, that;

DF/DC = EF/BC

Since F is the midpoint of DC, then it means that;

2DF = DC

We are given;

EF = 43 - 4x, and BC = 32 - 2x

Thus, we now have;

DF/(2DF) = (43 - 4x)/(32 - 2x)

1/2 = (43 - 4x)/(32 - 2x)

Cross multiply to get;

32 - 2x = 43 - 4x

4x - 2x = 43 - 32

2x = 11

x = 11/2

x = 5.5

Thus;

EF = 43 - 4(5.5)

EF = 43 - 22

EF = 21

Thus, we conclude that the side length EF is 21.

Read more about similar triangles at; https://brainly.com/question/14285697

#SPJ1

The graph of the function y = -2x + 1/3 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = -2x + 1/3

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

Read more about functions at

brainly.com/question/2456547

#SPJ1

Answer:

use a calculator

Step-by-step explanation:

also if this is easier change 1/2 and 1/3 to 0.5 and 0.3 where it would be 8.5 x 3.3

The value of the determinants are

D=13

Dx =26

Dy =52

Dz =26

The determinant of a matrix is ​​a scalar value calculated for a given square matrix. Linear algebra deals with the determinant, it is calculated using the elements of a square matrix. It can be thought of as a scaling factor for the matrix transformation. Useful for solving a system of linear equations, calculating the inverse of a matrix, and numerical operations.

Given system is

x+ y-z= 4

3x+4y-3z=16

9x- 3y+4z=14

from the system the determinants become,

D=  1   1  -1

      3  4  -3

      9   -3  4

D= 1(16-9)-1(12+27)-1(-9-36)

   =7-39+45

   13

Dx=4   1  -1

      16  4  -3

      14   -3  4

   =26

Dy=1  4  -1

      3  16  -3

      9   14  4

   =52

Dz=1  1  4

      3  4  16

      9   -3  14

 =26

Hence, D=13, Dx=26, Dy=52, Dz=26

To know more about determinants from the given link.

https://brainly.com/question/24254106

#SPJ1

The required graph has been attached below that represents the function f(x) = 5 cos (2x).

The graph of the function f(x) = 5 cos(2x) is a periodic function that oscillates between its maximum and minimum values as x changes.

Specifically, the function is a cosine function with amplitude 5 and period π, since the coefficient of x is 2 in the argument of the cosine function.

The graph of the function f(x) = 5 cos(2x) has a maximum value of 5 when cos(2x) = 1 (i.e., at 2x = 0 + 2πk, where k is an integer), and a minimum value of -5 when cos(2x) = -1 (i.e., at 2x = π + 2πk, where k is an integer).

Thus, the graph has been attached below that represents the given function.

Learn more about Trigonometric functions here:

brainly.com/question/6904750

#SPJ1

Answer:

0.22

Step-by-step explanation:

4 or less let it rest, 5 or more add one more!.

8 is greater than 1 so you add one to 1 which equals 2, so your answer would be 0.22

The solution of a quadratic equation is imaginary.

A quadratic equation with real or complex coefficients has two solutions, called roots.

These two solutions may or may not be distinct, and they may or may not be real.

The solution of the given quadratic function is calculated as follows;

6 + (x + 3)² = 0

subtract 6 from both sides of the equation;

6 + (x + 3)² - 6 = 0 - 6

(x + 3)²  = - 6

take square root of both sides

x + 3 = √-6

x + 3 = 6i

x = 6i - 3

Thus, the solution of a quadratic equation can be determined solving for the value of unknown in the equation.

Learn more about solution of quadratic function here: https://brainly.com/question/1214333

#SPJ1

Answer:

i think its

x^2 + (y + 2)^2 = 21.

Step-by-step explanation:

Answer:

Step-by-step explanation:

uhh

60 x 5 + 45 = 345 Seconds

Answer:6/5 or 1.2

Step-by-step explanation:

4/5 divided by 2/3

=4/5 *3/2

=12/10

=6/5

=1.2

Answer:

To factor the quadratic equation y = x^2 - 8x - 9, we need to find two numbers that multiply to give -9 and add to give -8 (the coefficient of the x term).

We can start by looking for two factors of -9 that add up to -8. The only pair of factors that works are -9 and 1. This is because (-9) + 1 = -8, and (-9) times 1 is -9.

Now we can use these factors to express the middle term of the quadratic in terms of two separate terms that can be factored by grouping. We can do this by splitting the -8x term into -9x + x:

y = x^2 - 9x + x - 9

Now we can group the first two terms together and the last two terms together:

y = (x^2 - 9x) + (x - 9)

We can factor out x from the first group, and factor out -9 from the second group:

y = x(x - 9) + (-9)(x - 9)

Finally, we can factor out the common factor of (x - 9):

y = (x - 9)(x - 1)

Therefore, the factor form of the quadratic equation y = x^2 - 8x - 9 is (x - 9)(x - 1).

Answer:

The chance of him pulling out another blue marble is 6/10 or 3/5

Step-by-step explanation:

The expression (9v⁴ + 2) + v²(v²w² + 2w³ - 2v²) - (- 13v²w³ + 7v⁴) is equivalent to v⁴w² + 15v²w³ + 2. Then the correct option is A.

The equivalent is the polynomial expressions that are in different forms but is equal to the same value.

The polynomial expression is given below.

(9v⁴ + 2) + v²(v²w² + 2w³ - 2v²) - (- 13v²w³ + 7v⁴)

By simplifying the polynomial expression, we have

(9v⁴ + 2) + (v⁴w² + 2v²w³ - 2v⁴) - (- 13v²w³ + 7v⁴)

9v⁴ - 2v⁴ - 7v⁴ + v⁴w² + 2v²w³ + 13v²w³ + 2

v⁴w² + 15v²w³ + 2

Thus, the correct option is A.

More about the equivalent polynomial expression link is given below.

https://brainly.com/question/889935

#SPJ1

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

for such more question on perpendicular

https://brainly.com/question/18991632

#SPJ8

\( = \frac{2^{5} }{2^{2} } = 2^{5 - 2} = 2^{3} = 8\)

FROM WHAT WAS WORKED OUT a=2

b=3 and c=8

HOPE THIS HELPS!

Answer:

Step-by-step explanation:

You want the center, radius, and equations in standard form and general form for the circle shown in the graph.

The center is the point marked. Its coordinates are ...

  (x, y) = (2, -1)

The radius is the distance from the center to any point on the circle. It is usually convenient to read the radius on a graph by considering points on the same horizontal or vertical line as the center of the circle.

Here, the circle passes through point (6, -1), so the radius is 6 -2 = 4.

The radius is 4 units.

The standard form equation for a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

For center (2, -1) and radius 4, this is ...

  (x -2)² +(y +1)² = 16 . . . . standard form equation

The general form of a polynomial equation is f(x, y) = 0, with the terms listed in lexicographical order by decreasing degree. This is found from the standard form by expanding it, combining terms, and arranging them in the required order:

  (x -2)² +(y +1)² = 16 . . . . . standard form

  x² -4x +4 +y² +2y +1 -16 = 0 . . . . . eliminate parentheses, subtract 16

  x² +y² -4x +2y -11 = 0 . . . . general form equation

Answer:

Sure, I can help with that! Here are the steps to solve each problem:

a) Since sin A = 0.6018, we can use the inverse sine function (sin^-1) to find the measure of angle A. Taking the inverse sine of 0.6018 gives us 37.19 degrees rounded to the nearest degree.

b) Since cos B = 0.9205, we can use the inverse cosine function (cos^-1) to find the measure of angle B. Taking the inverse cosine of 0.9205 gives us 23.06 degrees rounded to the nearest degree.

c) Since tan C = 0.0349, we can use the inverse tangent function (tan^-1) to find the measure of angle C. Taking the inverse tangent of 0.0349 gives us 2.00 degrees rounded to the nearest degree.

I hope that helps! Let me know if you need any further assistance.

Answer:

NP=14

BC=44

Step-by-step explanation:

\(60-24-22=14\\NP=14\\MN=BP=PC\\BC=2(MN)\\BC=44\)

Answer:

97/200

Step-by-step explanation:

48.5 % is just 48.5 * 100%, or 48.5/100

We can then simplify 48.5/100 and get rid of the decimal place:

485/1000 =

97/200

I hope this helped! :)

Answer:

97 /200

Step-by-step explanation:

Answer:

x=-6,11

Step-by-step explanation:

Break down the problem into these 2 equations.

2x-5=17

-(2x-5)=17

2 Solve the 1st equation: 2x-5=17

x=11

3 Solve the 2nd equation: -(2x-5)=17

x=-6x

4 Collect all solutions.

x=-6,11

Answer:

B) 2

Step-by-step explanation:

Is BK bisecting CD?

x + 1 = 2x -1  Subtract x from both sides

1 = x -1  Add 1 to both sides

2 = x