Use the remainder theorem to determine if x=6 is a zero of the following polynomial, and find the quotient and the remainder.
p(x)=x^4+4x^3-66x^2+45x-54

A. No, x=6 is not a zero of the polynomial.
The quotient is x^3-2x^2-54x+369, and the remainder is -2,268.

B. Yes, x=6 is a zero of the polynomial.
The quotient is x^3-2x^2-54x+369, and the remainder is 0.

C. Yes, x=6 is a zero of the polynomial.
The quotient is x^3+10x^2-6x+9, and the remainder is 0.

D. No, x=6 is not a zero of the polynomial.
The quotient is x^3+10x^2-6x+9, and the remainder is 0.​

Let 1000=1(scale for y axis)

Co-ordinates are

#A

Graph attached

#B

#C

Number of tests

Answer:

Since  

x = 1

 is a vertical line, the slope is undefined.

Step-by-step explanation:

Undefined

9514 1404 393

Answer:

  one solution (11, 4)

Step-by-step explanation:

Both equations describe curves with positive slope. The y-intercept of the line (-7) is less than that of the root function (-2), so the line must intersect the root function in exactly one place. There is one solution.

__

Solved in the conventional way, the equation would become a quadratic, with two solutions. One of them is extraneous. (That is why I prefer a graphical solution.)

Given ...

  x -y = 7

  y = √(3x +3) -2

We can substitute for y to get ...

  x -7 = √(3x +3) -2

  x -5 = √(3x +3)

  x^2 -10x +25 = 3x +3 . . . . . . square both sides

  x^2 -13x +22 = 0 = (x -11)(x -2) . . . . . gives solutions x=11, x=2

The value x=2 does not satisfy the equation ...

  x -7 = √(3x +3) -2   ⇒   2 -7 = √(3·2 +3) -2   ⇒   -5 = 1 (false)

Answer:

15 - 9

Step-by-step explanation:

3[( 3x - 7x plus 1) - (x plus 4)]

3[(-4x plus 1) - x-4

3[-4x plus 1 -x-4

3[-4x-x plus 1-4]

3[fivex -3]

fifteen x - 9

Answer: Angle c is like angle n angle x is like angle m and side cx is like side nm i dunno what postulate is tho sorry ;-;

Answer:

Definitely not a function if I am certain

Answer:

22[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Answer:

22 remainder 4

Step-by-step explanation:

it is asking for just the remainder so put 4

Answer:

x = 0

Step-by-step explanation:

6x – 2 + 2x = 2(4x – 3) + 4

8x - 2 = 8x - 6 + 4

8x - 2 = 8x - 2

8x = 8x + 0

0x = 0

x = 0

Answer:

0=0

Step-by-step explanation:

1. Combine Like Terms

6−2+2=2(4−3)+4

8x-2=2(4x-3)+4

2. Distribute

8x-2=2(4x-3)+4

8x-2=8x-6+4

3. Add the Numbers

8x-2=8x-6+4

8x-2+8x-2

4. Add 2 to both sides of the equation

8x-2=8x-2

8x-2+2=8x-2+2

5. Simplify

8−2+2=2(4−3)+4

8x=8x-2+2

8x=8x-2+2

8x=8x

6. Subtract 8x from both sides of the equation

8x-8x = 8x-8x

Answer= 0=0

Answer:

2

Step-by-step explanation:

Whatever is before the x will always be the slope.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]m = -\frac{2}{5}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\text{We will convert the equation to slope intercept form.}\\\\2x + 5y = 10\\\rule{150}{0.5}\\\rightarrow 2x + 5y = 10\\\\\rightarrow 2x - 2x + 5y = 10-2x\\\\\rightarrow 5y = 10-2x\\\\\rightarrow 5y = -2x + 10\\\\\rightarrow\frac{5y=-2x+10}{5}\\\\\rightarrow\boxed{y = -\frac{2}{5}x+2}[/tex]

⸻⸻⸻⸻

Since [tex]-\frac{2}{5}[/tex] replaces 'm's spot, it is the slope of the given equation.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

[tex]\frac{23}{3}[/tex] or [tex]7\frac{2}{3}[/tex]

solution:

[tex]6[/tex] + [tex]1\frac{2}{3}[/tex]

[tex]\frac{6}{1}[/tex] + [tex]\frac{5}{3}[/tex]

[tex]\frac{6}{1}[/tex] × [tex]\frac{3}{3}[/tex] [tex]= \frac{18}{3}[/tex]

[tex]\frac{18}{3}[/tex] + [tex]\frac{5}{3}[/tex] [tex]= \frac{23}{3}[/tex]

[tex]\frac{23}{3}[/tex][tex]= 7\frac{2}{3}[/tex]

7 2/3 is the simplest form of 23/3

The Answer: y = 2x + 7

Step-by-step explanation:

x-7+3x+12+x = 180

5x+5=180

5x=175

x = 35°

m L P = x-7 = 35-7 = 28°

m L Q = 3x+12 = 3(35)+12 = 105+12 = 117°

m L R = x = 35°

Answer:

each person would get about 1 4/10 slices

Answer:

C. 16

Maaf Kalo Salah Y Maaf Ya Lama Cape Itung di

Answer: Pretty sure it is perpendicular.

Step-by-step explanation:

If B is perpendicular to A and B and C are parallel, that means C is also perpendicular to A. Since D is perpendicular to C, it is parallel to A. E is perpendicular to D, so it goes back to perpendicular to A.

Answer:

the Y intercept is (0,-7) and the X intercept is (7/5,0)

Step-by-step explanation:

For Khan academy  

The y-intercept is -7 and the x-intercept is 7/5 if the equation of the line is y - 3 = 5(x - 2)

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have an equation of the straight line:

y - 3 = 5(x - 2)

For y-intercept:

Plug x = 0

y - 3 = 5(0 - 2)

y = -7

For x-intercept:

Plug y = 0

0 - 3 = 5(x - 2)

x = 7/5

Thus, the y-intercept is -7 and the x-intercept is 7/5 if the equation of the line is y - 3 = 5(x - 2)

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ5

Answer:

square root of 49 = √49 = 7

the negative square root of 16 = √16= -4

Step-by-step explanation:

hope it's helpful to you ☺️

Answer:

Square root of 49 is 7

negative square root of 16 is -4

Adding the distances between two consecutive vertices, the perimeter of JKLM is of [tex]10 + 6\sqrt{2}[/tex] units.

Given two points, [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the distance between them is of:

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Distance JK:

[tex]D = \sqrt{(3 - 0)^2 + (4 - 1)^2} = \sqrt{18} = 3\sqrt{2}[/tex]

Distance KL:

[tex]D = \sqrt{(8 - 3)^2 + (4 - 4)^2} = \sqrt{25} = 5[/tex]

Distance LM:

[tex]D = \sqrt{(5 - 8)^2 + (1 - 4)^2} = \sqrt{18} = 3\sqrt{2}[/tex]

Distance MJ:

[tex]D = \sqrt{(5 - 0)^2 + (1 - 1)^2} = \sqrt{25} = 5[/tex]

Thus, the perimeter, in units, is of:

[tex]P = 2(5 + 3\sqrt{2}) = 10 + 6\sqrt{2}[/tex]

A similar problem is given at https://brainly.com/question/20666716

Answer:

AB/ZX and CB/YX and AC/ZY

Step-by-step explanation:

Hope this helps :)

Answer:

The answer is c i think

Step-by-step explanation:

they arent congruent pairs and they all have angles

Answer:

15/27

Step-by-step explanation:

We re-order the coords and then take the x values and subtract, and do the same with the y values to get the change Then using the slope formula, which is rise over run, or in other words

ΔY/ΔX.

77-50=27 X change

25-10=15 Y change

then we divide the y change over the x change

15/27

and that is the slope.

Answer:

The slope is [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Using the slope formula ([tex]\frac{y2 - y1}{x2-x1}\\[/tex]),

[tex]\frac{25-10}{77-50}[/tex]

= 15/27

= 5/9

= 0.56

Hence, the slope is 0.56 or [tex]\frac{5}{9}[/tex]

Feel free to mark this as brainliest! :D

A line segment has two endpoints and you can measure them, as shown in the picture with endpoints A and B.

Whereas, A ray is a part of a line that has one endpoint and goes on infinitely in only one direction. You cannot measure the length of a ray. (second picture with the arrow)

Answer:

f (x) =8.52x

or

x=0

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

what do you need to do?

Step-by-step explanation:

what is the Question

The answer above is correct, i got it right on the test!