A piece of cloth is folded into a square with a side length measuring x inches. When it is unfolded, it has an area of x2 + 27x + 162 square inches.Which could be the dimensions of the rectangular piece of cloth when it is unfolded? Remember, the area of a rectangle can be determined using the formula A = lw.

length = (x + 9) inches and width = (x + 3) inches
length = (x − 3) inches and width = (x − 9) inches
length = (x + 18) inches and width = (x + 9) inches
length = (x − 9) inches and width = (x − 18) inches

Answers

Answer 1
Answer:

we have

x^(2) + 27x + 162

Using a graph tool------> to resolve the second order equation

the solution is

x=-18\n x=-9

so

x^(2) + 27x + 162=(x+18)*(x+9)

therefore

the answer is the option

length = (x + 18) inches and width = (x + 9) inches

Answer 2
Answer: Hello,

(x+9)(x+3=x²+21+27 No
(x-3)(x-9)=x²-12x+27 No

(x+18)(x+9)=x²+27x+162 Yes
(x-9)(x-18)=x²-27x+162 No

Answer C




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3x2 − y3 − y3 − z if x = 3, y = −2, and z = −5.

Answers

Plug in each variable:
3(3)²-(-2)³-(-2)³-(-5)
3(9)-(-8)-(-8)+5
27+21
The answer is 48

Slope = -4, passing through (7, 4)

Answers

I am guessing you want the equation, so here we go.
the equation of a line is:
           y = mx + c
To find c, plug in the given
y = 4
x = 7
m = -4

4 = -4(7) + c
4 = - 28 + c
take -28 to the other side
    4 = -28 + c
+28   +28
32 = c

equation of this line:
y = -4x + 32

How do you write fourteen and seven tenths squared in all three forms?

Answers

The 3 forms of expressing fourteen and seven tenths squared are;

(14⁷/₁₀)²; (147/10)²; (14.7)²

How to express fractions in decimal form

We want to express 14 and 7/10 all squared in all three forms.

The first form is in mixed fraction which is;

(14⁷/₁₀)²

Second form is in improper fraction form which is;

(147/10)²

Third form is in decimal form which is; (14.7)²

Read more about fractions to decimal form at; brainly.com/question/293712

14.7 squared
14 7/10 squared
14.7 × 14.7

What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?a) 9 units, 12 units
b) 11 units, 10.2 units
c)4.9 units, 15.8 units
d)4.9 units, 14.2 units
e)5.2 units, 14.1 units

Answers

The length of the legs of a right triangle  in which one acute angle measures 19° and the hypotenuse is 15 units are 4.9 units and 14.2 units.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides can be found using pythagoras theorem or trigonometric ratios.

Therefore,

sin 19 = opposite / hypotenuse

sin 19  = h / 15

cross multiply

h = 15 sin 19

h = 4.88352231686 = 4.9 units

Hence,

cos 19 = adjacent / hypotenuse

cos 19 = x / 15

cross multiply

x = 15 cos 19

x = 14.182778634 = 14.2 units

Therefore, the other  legs are 4.9 units and 14.2 units.

learn more on right triangle here: brainly.com/question/1478228

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Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long

Answers

The area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards longis 374.4 yard^2.

What is a regular hexagon?

A regular hexagon is defined as a closed shape consisting of six equal sides and six equal angles. The sum of the measure of angles of a regular hexagon is 120 degrees.

The area of a regular hexagon = (1)/(2) * h* p

It is given that apothem is 10.4 yards and side is 12 yards long.

The area of a regular hexagon = (1)/(2) * h* p

                                               = 6× 10.4 × (12/2)

                                                = 374.4 yard^2

Thus the area of a regular hexagon is 374.4 yard^2.

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Regular hexagon consists of 6 congruent triangles.
So the area, A, of the regular hexagon is 6 x the area of one triangle
The area of a triangle is half the base times the height
The height of a triangle is the apothem of the hexagon and the base is the side of the hexagon.

A = 6* 10.4 * (12/2) yard^2 = 374.4 yard^2

What is 5.5 as an improper fraction?

Answers

 Three ways 
5.5 = 5 + .5 = 5 5/10 = 5 1/2 

5.5 = 55/10 = 11/2 = 5 1/2 

5.5 = 5 1/2 <---- at some point you'll need to know that 0.5 = 1/2