What is the area of cross-section ADGF of this right rectangular prism?



A.
20 square units
B.
48 square units
C.
52 square units
D.
65 square units

Answer:

(x - 2)(x + 1)(2x -1)

Step-by-step explanation:

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                  4       2     -2

    -------------------------------

          2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                   -2    1

     ---------------------

             2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here, we have,

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                 4       2     -2

   -------------------------------

         2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                  -2    1

    ---------------------

            2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

Know more about Polynomials here:

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Answer:

Step-by-step explanation:

Step-by-step explanation:

The answer to the first one is: 4cd+4b.

The answer to the second one is: 2ab+4a+7b+14

(I'm assuming that you want to simplify)

Answer:

~8.9%

Step-by-step explanation:

Answer:

I think m is a variable

Step-by-step explanation:

because a variable is a letter representing a unknown amount

Step-by-step explanation:

hope this will help you.

Answer:

-7 (3a - 5)

Step-by-step explanation:

Answer:

[tex] - 7(3a - 5)[/tex]

Step-by-step explanation:

you just have to factor out the common term 7.

Answer:

Where is the rest of the question?

Step-by-step explanation:

40x +20

Answer:

b

Step-by-step explanation:

b= luck

Answer:

-4

Step-by-step explanation:

The formula for finding the slope of a line is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. We can take any two points given to us from the table and plug them into that expression. For example, we can use the points (0,0) and (2,-8).

[tex]\frac{y_2-y_1}{x_2-x_1}\\= \frac{-8-0}{2-0}\\= \frac{-8}{2}[/tex]

Simplify the fraction

[tex]= -4[/tex]

Therefore, the slope of the line is equal to -4.

I hope this helps!

Answer:

sorry but don't know this answer

Answer:

-8/21

Step-by-step explanation:

you have to use the order of operations (PEMDAS)

x=3

7+5(3)

MULTIPLACTION FIRST

7+15= 22

so the first was wrong because she added before multiplying

x= 4/5

7+5(4/5)

MULTIPLICATION FIRST

7+4= 11

the second was wrong because she added before multiplying again

Answer: 6 units

Step-by-step explanation:

I know that in a triangle, there's two angles that have equal measures, then the sides opposite to them are equal in length. Thus, the length of side AB is 6 units.

Answer:

AB = 38.64 m

Step-by-step explanation:

[tex] \cos \: 75 \degree = \frac{10}{x} \\ \\ x = \frac{10}{ \cos \: 75 \degree } \\ \\ x = 38.637033052 \\ \\ x \approx \: 38.64[/tex]

AB = 38.64 m

Answer:

2nd dot from the left (in the 1.7 column)

Step-by-step explanation:

the square root of 3 is 1.73

each interval on that number line goes by one tenths

(1.1, 1.2, 1.3, etc.)

so counting 7 spaces from the number one should land you at 1.7

(the second red dot from the left)

hope i was able to help!

Answer:

x=50

Step-by-step explanation:

65+65=130

180-130=50

Answer:

50 is the answer

Step-by-step explanation:

this is a isosceles triangle having 65 and 65

then 65 + 65 + x = 180 property of traingle

130 + x = 180

x = 180- 130 = 50

Answer:

(-1, -3)

Step-by-step explanation:

What is the ordered pair that satisfies the system 2x - 7y >5 and 3x-y < 4?

Using the coordinate point (-1, 3)

If x = -1 and y = 3

Substitute into the expressions and check if they are true

2x - 7y >5

= 2(-1)-7(-3)

= -2 + 21

= 19

Since 19 is greater than 5, hence the inequality 19 > 5 is true

Substituting into 3x - y < 4

3(-1)-(-3)

= -3 + 3

= 0

Since 0 < 4, hence this is also true for the inequality.

The coordinate point that satisfies the inequality is therefore (-1, -3)

Answer:

Step-by-step explanation:

The answer choices are not displaying properly. There are many ways to express the relation. For example:

X = 60% of 25

X = 0.60 × 25

X = 0.6 × 25

X = 60/100 × 25

X = 6/10 × 25

X = ⅗ × 25

Answer:

(4,3)

Step-by-step explanation:

Solve the equation:

3<2(4)-5

3<8-5

❌3<3 ❌

3 is not less than three, hence this is the phony

i hope this helps!

Answer:

The answer is 56 cm^3

Step-by-step explanation:

2 = height

7 = length

4 = width

Formula: LxWxH

2 x 7  x 4 = 56

Answer:

what

Step-by-step explanation:

Step-by-step explanation:

step 1. (x^2 + 14x + 49) + 15

step 2. (x + 7)^2 + 15.

Answer:

$199.68

Step-by-step explanation:

You would have to find 4% of 192.

That is 7.68.

192+7.68=199.68.

Answer:

97.5 m^2

Step-by-step explanation:

Given data

Length = 65m

Width= 30m

We are told that the width of the path= 1.5m

Hence the area of the path is

=65*1.5

=97.5 m^2

Answer:

Step-by-step explanation:

A and D

Answer:

320 cm sq

Step-by-step explanation:

Answer:

72, 72, 108, 108

Step-by-step explanation:

x, x, x+36, x+36 =360

4x=288

x=72

so,  x=72, x=72, x=108, x=108

Answer:

72*, 72*, 108*, 108*