All categories

3 years ago

What is the width of Averi's area model? (See picture)

Mathematics

1 answer:

shepuryov [24]3 years ago

8 0

Answer:

Width = x² + 5x - 4

Step-by-step explanation:

By the definition of an area model,

Area = Width × greatest common factor

Since, Area = 4x² + 20x - 16

And greatest common factor = 4

4x² + 20x - 16 = 4(Width)

By dividing both the sides of the equation by 4,

$\frac{4x^2+20x-16}{4}=\frac{4(\text{Width})}{4}$

x² + 5x - 4 = Width

Therefore, width = (x² + 5x - 4) will be he answer.

You might be interested in

PLEASE ANSWER!!!!!! REALLY IMPORTANT

faust18 [17]

Answer-

The height of the prism is 6 units

Solution-

As the base of the prism is a hexagon consisting of 2 congruent isosceles trapezoids.

So,

$V_{Prism}=Area_{Base}\times Height$

And,

$Area_{Base}=2\times \text{Area of the trapezoid}$

Also,

$\text{Area of the trapezoid}=\dfrac{1}{2}\times \text{Height}\times (\text{Sum of two parallel lines})$

$=\dfrac{1}{2}\times 3\times (5+8)\\\\=\dfrac{39}{2}$

Putting all the values,

$V_{Prism}=2\times \dfrac{39}{2}\times Height=39\times Height$

As the volume is given, so

$\Rightarrow 39\times Height=234$

$\Rightarrow Height=\dfrac{234}{39}=6$

8 0

3 years ago

Read 2 more answers

Which points are solutions to the system of inequalities shown below? Check all that apply.

Alexandra [31]

I: y<2*x
II: y<8
III: x>2

a: (5,3):
I: 3<2*5
3<10 ?yes
II: 3<8 ?yes
III: 5>2 ?yes
This is a solution

b: (6,0):
I: 0<2*6
0<12 ?yes
II: 0<8 ?yes
III: 6>2 ?yes
This is a solution

c: (3,3):
I: 3<2*3
3<6 ?yes
II: 3<8 ?yes
III: 3>2 ?yes
This is a solution

d: (1,-4):
I: -4<2*1
-4<2 ?yes
II: -4<8 ?yes
III: 1>2 ?no
This is not a solution

e: (4,-2):
I: -2<2*4
-2<8 ?yes
II: -2<8 ?yes
III: 4>2 ?yes
This is a solution

f: (5,9):
I: 9<2*5
9<10 ?yes
II: 9<8 ?no
This is not a solution

so a,b,c,e are solutions and d,f not

6 0

3 years ago

A circle has a diameter of 18in is 1 in approximately 2.5 cm is what is a diameter in centimeters

sergejj [24]

Answer:

Answer: 45

Step-by-step explanation:

Well it seems like your answer would follow along with is:

`18x2.5=45

Hope this helps good sir!

3 0

2 years ago

Which inequality represents the phrase "paid more than $2.00"?

Nastasia [14]

Is greater than or equal to $.00

6 0

3 years ago

A rectangular piece of land is 73/3 meter long and 61/4 meter wide.Find it's perimeter. Please solve it

Strike441 [17]

Answer:

49 1/6 meters

Step-by-step explanation:

P = 2(73/3) + 2(61/4)

= 146/3 + 61/2

= 48 2/3 + 30 1/2

= 48 4/6 + 30 3/6

= 48 + 7/6

= 48 + 1 1/6

= 49 1/6

5 0

3 years ago

Read 2 more answers