Find a third-degree polynomial equation with rational coefficients that has roots 4 and 6 + i.
a. x^3 - 8x^2 - 11x + 148 = 0
b. x^3 - 8x^2 - 12x + 37 = 0
c. x^3 - 12x^2 + 37x = 0
d. x^3 - 8x^2 - 11x = 0

Answer:

12

Step-by-step explanation:

here's your solution

=> area of rectangle = length*width

=> area 4*3 = 12.squnit

=> area of square = side^2

=> area = 1.squnit

=> Number of square = area of rectangle/area of square

=> no of square = 12/1

=>. 12

Answer:

6.42857142857

Step-by-step explanation:

Answer:

6 3/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

that vector is in the 4th quadrent. This means that it will be between 270 and 360 degrees.

setting up directions over the graph (like a compass), the vector would be between East and South  

using the diagram below it would most likly be south of east and 350 degrees

Answer:

260

Step-by-step explanation:

Multiply all of the numbers together

Answer:

b>6

Step-by-step explanation:

b is more than 6.

> more than sign

Answer:

The answer is 494 dollars

Step-by-step explanation

30% of 380 is 114 and then you add 380 to 114 and you get 494 dollars

Answer:

1/4 + m = 2/3

Step-by-step explanation:

Answer:

angle c = 107°

angle b = 107°

angle a = 73°

Step-by-step explanation:

Given:

Two line XY and WZ intersect each other and make four angle [a, b, c, d]

Given that Angle d = 73°

Find:

angle a

angle b

angle c

Computation:

We know that angle c and angle d situated on same line XY

So,

angle c + angle d = 180°

angle c + 73° = 180°

angle c = 107°

We know that angle b and angle d situated on same line WZ

So,

angle b + angle d = 180°

angle b + 73° = 180°

angle b = 107°

angle a and angle d are vertical opposite angle

So,

angle a = angle d

angle a = 73°

Answer:

1283 miklis

Step-by-step explanation:

Answer:

Let / l : the lenght of the rectangle

w : the wide of the rectangle

Step-by-step explanation:

[tex]a = l \times w \\ 221 = (w + 4) \times w \\ 221= w^{2} + 4w \\ {w}^{2} + 4w - 221 = 0 \\ (w + 17)(w - 13) = 0 \\ either \: w + 17 = 0 \\ so \: w = - 17 \: mile \: \: \: \: neglect \\ or \: w - 13 = 0 \\ so \: w = 13 \\ l = w + 4 \\ l = 13 + 4 = 17 \: mile[/tex]

I hope that is useful for you

Answer:

2.0, 2.4. 2.8

Step-by-step explanation:

Answer:

0.22 square units

Step-by-step explanation:

Area of the left over fabric = Area of the square piece - Area of the circle

let the side length of the square piece be 1 unit

Area of the square piece = 1 * 1

Area of the square piece = 1 square units

Area of the circle = πd²/4

d is the diameter of the circle = 1 unit (equivalent to the side length of the square)

Area of the circle = π(1)²/4

Area of the circle = 3.14/4

Area of the circle = 0.785square units

Area of the left over fabric = 1- 0785

Area of the left over fabric = 0.215 square units

Hence the amount of fabric that would be leftover is 0.22 square units

Answer:

0.22 square units

Step-by-step explanation:

Hope this helps

Answer:

7500 yds^2

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex]Bh

A = [tex]\frac{1}{2}[/tex] 50 * 300

A = 25 * 300

A = 7500

Answer:

the time period is 38.28 years

Step-by-step explanation:

The computation of the time period is shown below:

Given that

RATE = 6.2%

PV = $500

PMT = $0

FV = $5,000

The formula is shown below:

= NPER(RATE;PMT;-PV;FV;TYPE)

After applying the above formula, the time period is 38.28 years

Hence, in order to save $5,000 it would take 38.28 years

Answer:

I'm pretty sure it's 72, if not i'm sorry

Answer:

1.No

2.No

Step-by-step explanation:

5=x+5  x=10

5=10+5

5=15 is not solution

12x=196  x=7

12*7=196

84=196

Answer:

35

Step-by-step explanation:

Answer:

Wouldn't the area be 42?

Answer:

12796 cm²

Step-by-step explanation:

[tex]SA=2(lw+lh+wh)[/tex] where l is the length, w is the width and h is the height

Plug in 42 as l, 35 as w and 64 as h

[tex]SA=2(42*35+42*64+35*64)\\SA=2(1470+2688+2240)\\SA=2(6398)\\SA=12796[/tex]

Therefore, the surface area of the figure is 12796 cm².

I hope this helps!

Answer:

TSA = 2(lb + bh + lh)

TSA = 2(64 × 42 + 42 × 35 + 64 × 35)

TSA = 2(6398)

TSA = 12796 cu. cm

[tex] \\ [/tex]

Answer:

0.5^x

Step-by-step explanation:

Answer: the answer will be 38 centimeters

Step-by-step explanation:

Answer:

This equation has two solutions.

1 solution is: x - 1

Solution #2 is : x - 7

Step-by-step explanation:

1. Move the constant to the left. We end up with x^2 - 8x +7 = 0

2. Rewrite the expression: x^2 - x - 7x + 7 = 0

3. Factor the expressions: x * (x-1) -7(x-1) = 0

4. Separate into possible cases : (x-1) * (x-7) = 0

5. Solve the equation(s): x-1 = 0

                                         x-7 = 0

6. Possible solutions are as follows: x-1 OR x-7

Answer:

1 year= 12 months

1 months rent=1783

1783x12=21396

15 years = 180 months

the equation would be

1783x180=320940

or

21396x15= 320940

In order:

irrational

irrational

rational

rational

Cubic polynomial

[tex] {x}^{3} + {2x}^{2} - 5x - 10[/tex]

Binomial

[tex]2x - 3[/tex]

By vertical method of multiplication we get,

[tex] {2x}^{4} + {x}^{3} - {16x}^{2} - 5x + 30[/tex]

A . One solution

B . infinite solution

C . infinite solution

D . no solution

_________________________________

Thus the correct answer is option A .

Answer:

-16 (t+3) (t-3)

Step-by-step explanation: