In algebra, we use an(n)___ to represent a variable.

Answer:

(10 + 3i)(10 - 3i)=109

Step-by-step explanation:

[tex](10+3i)(10-3i)=(10^{2} -10*3i)+(3*10i-3*3i^2)\\ =100-30i+30i-9i^2\\=100-9*(-1)\\=100+9=109[/tex]

Answer:

B) 109

Step-by-step explanation:

I took the test and got a 100%

Answer:

B

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

-2 1/4 * 7.89 + 13/3 ÷ (-4.17)

Estimate

Multiply and divide  from left to right

-9/4 * 8 + 4 ÷ -4

-18 -1

-19

The exact answer is -18.79166.....

Answer:

75.36

Step-by-step explanation:

3.14(pi) x 24(diameter) = 75.36(circumference)

Answer:

B)32.5

Step-by-step explanation:

hope this helps

Answer:

32.5 or B

Step-by-step explanation:

good luck on the rest of your quiz

Answer:

-3

Step-by-step explanation:

substitute -4 into the equation f(x)

Answer:

9(6)

Step-by-step explanation:

i just took the test and yea!!!!!!!!

Answer:

D. 7(6)+4

Step-by-step explanation:

I tried the answer above me but it was wrong that's why I got 90/100

but here is the REAL ANSWER

Answer:

The answer of this question is (D) 8

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

Median income is the income in the middle of the data set when incomes are arranged from least to greatest.

Median is a measure of central tendency that is used to describe the number that is in the middle of a set of numbers that are arranged either in ascending or descending order

For example, the income of 3 workers for march are : $1000, $5000, $10,000. The median income is $5000.

To learn more about median, please check: https://brainly.com/question/14746682

#SPJ2

Answer:

12,762.82$

Step-by-step explanation:

10,000(1+0.05)^5

Answer:

16 times larger

Step-by-step explanation:

Simple math here just do 1520/95=16 because your trying to find out how they scale to eachother, therefore finding out the difference in size by dividing.

Hope this helps:)

Answer:

x = - 12, x = 2

Step-by-step explanation:

Given

x² + 10x = 24

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(5)x + 25 = 24 + 25

(x + 5)² = 49 ( take the square root of both sides )

x + 5 = ±  = ± 7 ( subtract 5 from both sides )

HOPE THIS HELPS

Answer:

x  =  2 ,  − 12

Step-by-step explanation:

Use the formula  ( b /2 ) (^)2  in order to create a new term. Solve for  x  by using this term to complete the square.

Answer:

Given:

x > 0

y > 0

And,

x + 3y < 15

4x + y < 16

<=>

4x + 12y < 60

4x + y < 16

<=>

11y < 44

<=> y < 4

Otherwise

x + 3y < 15

4x + y < 16

<=>

x + 3y < 15

12x + 3y < 48

<=>

11x < 33

<=>

x < 3

=> C = 3x + 2y < 3*3 + 2*4 = 9 + 8 = 17

=>  C < 17

Hope this helps!

:)

The maximum value of  C is an illustration of objective functions

The maximum value of C is 25

The objective function is given as:

[tex]\mathbf{C = 3x + 2y}[/tex]

The constraints are:

[tex]\mathbf{x + 3y < 15}[/tex]

[tex]\mathbf{4x + y < 16}[/tex]

[tex]\mathbf{x,y > 0}[/tex]

Plot the graphs of the constraints

From the graph (see attachment), the only optimal point is (3,4)

Substitute 3 for x and 4 for y in the objective function.

So, we have:

[tex]\mathbf{C = 3x + 2y}[/tex]

[tex]\mathbf{C = 3(3) + 2(4)}[/tex]

[tex]\mathbf{C = 9 + 8}[/tex]

[tex]\mathbf{C = 17}[/tex]

Hence, the maximum value of C is 17

Read more about optimizing functions at:

https://brainly.com/question/14778650

Answer:

y = 40.

Step-by-step explanation:

The opposite sides of a cyclic quadrilateral sum to 180, so:

3y + 2y - 20 = 180

5y = 180 + 20 = 200

y = 40.

Answer:

D) 20,800,000

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

c)

Step-by-step explanation:

Answer:

d. (6,-4)

Step-by-step explanation:

After 180° rotation:

(x , y) --> (-x,-y)

(-6,4) --> (6,-4)

Answer:

No solution

Step-by-step explanation:

18x - 5 < 3(6x - 2)       Distribute the 3 to (6x - 2)

18x - 5 < 18x - 6

-18x        -18x               Subtract 18x from both sides

-5 < -6                         There is no solution because -5 is not less than -6.

If this answer is correct, please make me Brainliest!

Answer: hopefully this is what you need

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality form:

X < -6

Interval Notation:

(-♾, -6)

Answer:

Step-by-step explanation:

50% is [tex]\frac{50}{100}[/tex] but we're working with 64 units, not 100. So, we must find a number that represents 50 but in 64 units.

[tex]\frac{50}{100}=\frac{x}{64}[/tex]

If you solve for x, you get:

[tex]x=\frac{50*64}{100}\\ x=32[/tex]

[tex]\frac{50}{100}=\frac{32}{64}[/tex]

A rotation of 90° about the origin includes the interchange of the position of  x, and y in the ordered pair and a change of one of the signs of the pair.

The option that shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin is the option;

Reasons:

The given transformation the gives the X'Y'Z' = 90° rotation about the origin

The given coordinates of X'Y'Z' are;

X'(-2, 2), Y'(0, 6), and Z'(1, 1)

Required:

The figure that shows the preimage of X'Y'Z'

Solution:

Given that X'Y'Z' is obtained by the rotation of XYZ 90°, therefore, the

coordinates of XYZ are given by the rotation of X'Y'Z' in the reverse

direction either counterclockwise and clockwise.

(x, y) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] (-y, x)

(x, y) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex] (y, -x)

Therefore, we have;

X'(-2, 2) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] X(-2, -2)

Y'(0, 6) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] Y(-6, 0)

Z'(1, 1) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] Z(-1, 1)

Similarly, we get;

X'(-2, 2) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex]  X(2, 2)

Y'(0, 6) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex]  Y(6, 0)

Z'(1, 1) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex] Z(1, -1)

The above coordinates of XYZ; X(2, 2), Y(6, 0), and Z(1, -1), corresponds to

the option;

On a coordinate plane, a triangle has points X(2, 2), Y(6, 0), and Z(1, -1).

Therefore, XYZ was rotated 90° clockwise to form X'Y'Z'

Learn more about rotation transformation here:

https://brainly.com/question/4738741

Answer: the first box is 90 degrees and the second box is 2 :D

Step-by-step explanation: ed 2020

hope you have a goody day / night ^^

75.34

Step-by-step explanation:

1.To find the circumference, you have to multiply the diameter times pi (3.14).

2.The radius (12) is half of the diameter

3. The diameter (12x2) is 24.

4. 24x3.14 is 75.36

So, the approx. circumference is 75.36.

Answer:

Step-by-step explanation:

Answer:75ft

Answer:

the first answer is 5

the second answer is 23

Step-by-step explanation:

edge

Answer:

x=5 and the other one is x=23

Step-by-step explanation:

Answer:

Step-by-step explanation:

6 1/3 plus 8 5/6 is 15 1/6

20 17/30 minus 15 1/6= 5.4 or 5 2/5

Answer:

investment 2 $400 Simple Interest Rate

Step-by-step explanation:

Answer:

1248 cubic feet

Answer:

10626 different arrangements

Step-by-step explanation:

As we have a total of 23 students and we want to form groups of 3, where the order of the 3 students matters, we can solve this problem using a permutation of 23 choose 3.

The formula for a permutation of n choose p is:

P(n,p) = n! / (n-p)!

So, using n = 23 and p = 3, we have:

P(23,3) = 23! / (23-3)! = 23! / 20! = 23 * 22 * 21 = 10626

So we have a total of 10626 different arrangements of first, second and third place.

the answer is C. 81.87

Answer:

all parallelograms are rectangles

Step-by-step explanation:

the have 2 sets of parallel lines that are equal in length