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2 years ago

Which of the following is the correct factorization of the polynomial below?

Mathematics

1 answer:

Yuliya22 [10]2 years ago

7 0

The answer is D. The polynomial is irreducible because 12 can’t be squared.

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If A = (0,2,3,4,9,11), B = {2,3,6,8,9,10) and C= {0,2,3,9), then (A-B) n(A-C) is

timofeeve [1]

Answer:

(A-B)n(A-C) ={ }

Wishing a nice day.

8 0

3 years ago

PLAYSTOP6The volume of the solid iscubic feet. Use the formula V = Bh. All angles are 90°.9 ft.6 ft.ft.3 ft.2 ft.2ft.

ira [324]

Volumen of A Solid

Given a solid with a shape of a constant base B and height H, the volume is:

V = BH

The height of the solid is 1 1/4 ft. We need to calculate the area of the base.

The base consists of a larger rectangle from which has been taken a smaller rectangle.

The larger rectangle has dimensions of 9 ft by 6 ft, thus its area is:

A1 = 9 ft * 6 ft = 54 square ft

The smaller rectangle has dimensions of 2 1/2 ft by 4 ft.

The second dimension was calculated as the difference between 9 ft and 2 ft plus 3 ft. (9 ft - 3 ft - 2 ft = 4 ft).

The area of the smaller rectangle is:

A2 = 2 1/2 * 4

The mixed fraction 2 1/2 is converted to improper fraction:

2 1/2 = 2 + 1/2 = 5/2

Thus, the area is:

A2 = 5/2 * 4

A2 = 10 square feet

The area of the base is A1 - A2 = 54 square feet - 10 square feet = 44 square feet

B = 44 square feet.

Now for the volume:

V = 44 square feet * 1 1/4 feet

Again the mixed fraction is converted to a single fraction:

1 1/4 = 1 + 1/4 = 5/4

V = 44 square feet * 5/4 feet

V = 55 cubic feet

3 0

1 year ago

For her cellular phone service, Vera pays $32 a month, plus 0.75 for each minute over the allowed minutes in her plan. Vera rece

ololo11 [35]

Answer:

one months bill would be $32+$0.75X=$47 X= minutes use over given time.

X= 20

Step-by-step explanation:

6 0

3 years ago

Find an equation of the plane consisting of all points that are equidistant from (-3, 5, -4) and (-5, 0, 4), and having -2 as th

Firdavs [7]

Answer:

-2x-5y+8z+4.5=0

Step-by-step explanation:

Let (x,y,z) be the coordinates of the point lying on the needed plane. This point is equidistant from the points (-3, 5, -4) and (-5, 0, 4), so

$d_1=\sqrt{(x-(-3))^2+(y-5)^2+(z-(-4))^2}=\sqrt{(x+3)^2+(y-5)^2+(z+4)^2}\\ \\d_2=\sqrt{(x-(-5))^2+(y-0)^2+(z-4)^2}=\sqrt{(x+5)^2+y^2+(z-4)^2}\\ \\d_1=d_2\Rightarrow \sqrt{(x+3)^2+(y-5)^2+(z+4)^2}=\sqrt{(x+5)^2+y^2+(z-4)^2}\\ \\(x+3)^2+(y-5)^2+(z+4)^2=(x+5)^2+y^2+(z-4)^2\\ \\x^2+6x+9+y^2-10y+25+z^2+8z+16=x^2+10x+25+y^2+z^2-8z+16\\ \\-4x-10y+16z+9=0\\ \\-2x-5y+8z+4.5=0$

5 0

3 years ago

Read 2 more answers

Which expression is equivalent to 2(x -1)+x

olchik [2.2K]

$\huge\text{Hey there!}$

$\huge\textbf{Question reads....}$

$\large\text{Which expression is equivalent to 2(x - 1) + x?}$

$\huge\textbf{Step by step to find your result}$

$\large\textbf{First you have to DISTRIBUTE 2 WITHIN the}\\\large\textbf{PARENTHESES}$

$\large\text{2(x - 1) + x}\\\rightarrow\large\text{2(x) + 2(-1) + x}\\\rightarrow\large\text{2x - 2 + x}\\\rightarrow\large\text{2x - 2 + 1x}\\\rightarrow\large\textbf{COMBINE the LIKE TERMS}\leftarrow\\\rightarrow\large\text{(2x + 1x) - (2)}\\\rightarrow\large\text{3x - 2}$

$\huge\textbf{FINALLY WE HAVE YOUR RESULT}$

$\huge\boxed{\textsf{Therefore, your answer is: }}}\\\huge\boxed{\mathsf{Option\ B. \ 3x - 2}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy }\\\huge\text{your day!}$

<h2>~ $\frak{Amphitrite1040:)}$ </h2>

5 0

3 years ago

Read 2 more answers