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stich3 [128]
3 years ago
6

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.

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I need the answers to these if you can’t read it it says “You drink 16 Fluid ounces of milk for breakfast every morning”.
Reika [66]

Answer: A. y = 16 x

B. 8 days

Step-by-step explanation:

A) Here, 16 Fluid ounces of milk is used for breakfast every morning.

In one day the consumption of milk = 16 fluid ounces

In x days the consumption of milk = 16 x fluid ounces

Thus, if y be the total milk in ounces that is used in x days,

The required function,

y = 16 x

B)  In 1 day,  consumption of milk = 16 ounces

⇒ 16\text{ ounces milk } = 1 \text{ day}

⇒ 8\times 16\text{ ounces milk } = 8\times 1 \text{ day}

⇒ 128\text{ ounces milk } = 8 \text{ day}

Since, 128 ounces = 1 gallon

⇒ 1\text{ gallon milk } = 8 \text{ day}

In 8 days, 1 gallon of milk will consumed.

4 0
4 years ago
How do you graph the equation f(x)=10x+40??
irga5000 [103]
Ok so linear equations come in the form
y = mx + b

B is the y-intercept. In this equation the y intercept is 40. A y- intercept is where the graph crosses the y axis so at the point (0,40) the graph crosses the y axis.

M is the slope which is rise over run so if the slope was 10 (which it is) 10 is equivalent to 10/1 so you move up 10 units for every 1 unit you move across.

So to graph this equation, you would draw your first point at (0,40). For your next point, you would move right one unit, and up 10 units. Draw a point there which would be (1, 50). Hopefully you understand. For going left from the y intercept point, you would move left 1 and down 10.

Actual graph above.

Hope this helps C:

8 0
3 years ago
Simplify:<br><br> 3-2<br> what is this awnser
sweet [91]

Answer:

It is ................................................................. 1

Step-by-step explanation:

7 0
3 years ago
(20 pts!) if the base of the roof has length 40 feet and x=30, which of the following gives the height of the roof?
musickatia [10]

Answer:

23.094 ft approximately

(If you want your answer in a different format, let me know please.)

Step-by-step explanation:

I would have solve this using tangent since the side opposite to x is asked for and the adjacent side to side is given as having a measurement of 40 ft.

But I think they want you to use the formula:

l=\frac{b}{\cos(x)}.

l=\frac{40}{\cos(30)}

Input into calculator:

l=46.188 (approximation)

l represents the length of the roof.

So we have l=46.188 and b=40.

We must use the Pythagorean Theorem to find the height,h, for of the roof.

l is the hypotenuse.

h^2+40^2=46.188^2

h^2+1600=2133.331

Subtract 1600 on both sides:

h^2=533.331

Take square root of both sides:

h=23.094

The answer is 23.094 feet for the height that roof reaches on the building.

I want to show you another way:

\tan(x)=\frac{\text{opposite}}{\text{adjacent}}

\tan(30)=\frac{h}{40}

Multiply both sides by 40:

40\tan(30)=h

Input into calculator:

23.094=h

I didn't do it this way because your problem suggested you use their formula to find the height.

8 0
3 years ago
Read 2 more answers
Mr. Anders wants to put a fence around his backyard. His backyard is rectangular. The lengths of the sides are 75 yards , 45 yar
Sati [7]
75 + 45 + 75 + 45 = 240 yards
5 0
3 years ago
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