A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters. The expression below represents the area of the floor of the room in square meters:(x − 4)(3x − 1)

Which of the following simplified expressions represents the area of the floor of the conference room in square meters? (5 points)

A.x2 − 13x + 4
B.3x2 − 13x + 4
C.3x2 − 11x + 4
D.x2 − 12x + 4

Answers

Answer 1

Answer: To know the area of a rectangle the equation L x W is used where L is length and W is width. In this problem L is x-4 while W is 3x-1, by simply multiplying both we can get the area.
in equation,
(x-4)(3x-1)
3x^2-1x-12x+4
3x^2-13x+4.
The letter B. 3x^2 - 13x +4 is the simplified expression which represents the area of the floor of the conference room in square meters.

Answer 2

Answer:

Answer: it’s b, 3x^2-13x+4. I took the test

Step-by-step explanation:

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Eliminate the y in the following system of equations. What is the result when you add the two equations?x+y=2
3x-4y=27

A.7x=29
B.x=-23
C.7x=35
D.4x=29

Answers

Final answer:

By manipulating and then adding the given system of equations, we can eliminate the variable 'y', resulting in the equation 7x = 35.

Explanation:

To eliminate the variable y in the given system of equations, we need to manipulate the equations to cancel out the y term. The system of equations is:

x + y = 2

3x - 4y = 27

We can accomplish y-elimination by first multiplying the first equation by 4 to match the coefficient in front of y in the second equation. The equations now are:

4x + 4y = 8

3x - 4y = 27

Now, we can add the two equations together, effectively eliminating the y-variable:

4x + 3x = 8 + 27

7x = 35

Learn more about Elimination Method in System of Equations here:

brainly.com/question/34292652

#SPJ3

Answer:

Step-by-step explanation:

x + y = 2

Subtract x from both sides;

y = -x + 2

3x - 4y = 27

Substitute y;

3x - 4(-x + 2) = 27

Distribute;

3x + 4x - 8 = 27

7x - 8 = 27

Add 8 to both sides;

7x = 35

Divide both sides by 7;

x = 5

the problem says "one side of the triangular garden is 42.0 ft. the angles on each end of this side measure 66 degrees and 82 degrees. find length of fence needed to enclose the garden." please help meeee

Answers

Draw out a triangle with one side labeled 42 feet, and the two adjacent angles 66 and 82.
When using the law of sines, you want to label the sides of your triangle a, b, c, and the angles of your triangle A, B, C.
First, label the triangle. To make this easy, I'll tell you what I labeled them so you can follow along.
The side labeled 42 feet is side "a", and the angle opposite this side is angle A
66 degrees is angle B, and the side opposite this angle is side b
82 degrees is angle C, and the side opposite this angle is side c.

We know two angles of the triangle, 66 and 82. We also know that a triangle is made up of 180 degrees. To find the angle A, we can subtract angle B and angle C from 180.

A = 180 - 66 - 82 = 32

a = 42 b = ? c = ?
A = 32 B = 66 C = 82

Now we can start using the Law of Sines to solve for sides b and c.
the law of sines says:

sin(A) = sin(B) = sin(C)
a b c

we know a, A, and B, and we are looking for "b" so we can substitute those values into sin(A)/a = sin(B)/ b

sin(32) = sin(66)
42 b

cross multiply:
b sin(32) = 42sin(66)
divide both sides by sin(32)
b = 42sin(66) ≈ 72.4
sin(32)

We can do the same thing for side c.
sin(A) = sin(C)
a c

sin(32) = sin(82)
42 c

c sin(32) = 42sin(82)

c = 42sin(82) ≈ 78.5
sin(32)

The 3 sides are 42.0 feet, 72.4 feet, and 78.5 feet. To find the length of the fence needed to enclose the garden, simply add the three sides up.

42.0 + 72.4 + 78.5 = 192.9 feet

Distributive Prosperity Simplify ;
16 (7b+6)

Answers

= 16 (7b + 6)
= (16 x 7b) + (16 x 6)
= 112b + 96

(16*7b) ( 16*6 )112+ 96 = 208This is my though and how I would do it so is that help ?

What is the square root of m6?. . m2. m3. m4. m5

Answers

The correct answer is: $m^3$ (Option B)

Explanation:

Given expression: $m^6$

Take square-root of the expression: $(m^6)^{(1)/(2)}$

Evaluate the resultant expression: $m^{(6)/(2)} = m^3$

Hence the correct answer is option (B) $m^3$ .

$\sqrt{m ^(6) } = ( m^(6))^(0.5) = m ^(6*0.5) = m^(3)$
Answer: B ) m³
Thank you.

What is 25% of 860 i remember percentages just need touch up how to do them

Answers

The thing you need to remember is that 25% means 0.25 .
That's the whole problem. The rest is easy.

0.25 x 860 = 215

To find 25% of something you have to divide it by 4. So 860 divided by 4 = 215
Hope this helped! :)
Remember:
100% = 1 = 1
75% = 3/4 = 0.75
50% = 1/2 = 0.5
25% = 1/4 = 0.25
10% = 1/10 or 10/100 = 0.1
1% = 1/100 = 0.01

Solve in picture. :)

Answers

Divide each by 6 to get 3/4. Hope it helps

$(18)/(24)$
We have to determine the common multiple over here.
The greatest common factor is 6
$(18/6)/(24/6)$ = $(3)/(4)$
Answer = $(3)/(4)$

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