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OleMash [197]
2 years ago
6

How could Brent use a rectangle to model the factors of x2 – 7x + 6?

Mathematics
2 answers:
Crank2 years ago
6 0
<span> He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.</span>
ivann1987 [24]2 years ago
6 0

Answer:

Step-by-step explanation:

Since Brent uses a rectangle that models the area = (x² - 7x + 6)

Now we will factorize this expression

x² - 7x + 6 = x² - 6x - x + 6

                = x(x - 6) - 1(x - 6)

                = (x - 1)(x - 6)

Therefore, (x -1) and (x - 6) will represent the sides of a rectangle so that multiplication of the sides will model the area of the rectangle.

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A farmer is estimating the surface area of his barn to find how much paint he needs to buy. One part of the barn is triangular a
Nady [450]
We know the triangle is an isosceles triangle. So, we use the Pythagorean Theorem. 

a^2+b^2=c^2

The c would be 22, because it's the longest edge. Now find a or b. They are the same, that is how you find the two sides of the triangle for part A.

To find the area of the triangle, the forumla is a=hb/2

Plug in the numbers for that formula and the answer would be found for part B.

I hope I helped.
7 0
2 years ago
A force of 500.0 is represented graphically with its tail at the origin and the tip pointed in a direction 30.0° above the posit
trapecia [35]

Answer:

F^{'}=(250\sqrt{3},250 })

Step-by-step explanation:

We have F´ =500 and \alpha=30º, so x and y components:

F´ = (F_{x} , F_{y}) this is

F_{x} = F^{'} *Cos\alpha

F_{y} = F^{'} *Sin\alpha  

F_{x} = F`*Cos\alpha =500*Cos30=500*\frac{\sqrt{3} }{2} =250\sqrt{3}

F_{y}=F*Sin\alpha  =500*Sin30=500*\frac{1}{2}=250;

Finally

F' = (250\sqrt{3} , 250)

3 0
2 years ago
Jeremy drew a polygon with four right angles and four sides with the same length. Name all the polygons that he could have drawn
sergejj [24]
Square. 

A square is a rectangle, so rectangle.

A rectangle is a parallelogram, so parallelogram.

Equilateral.

Also Rhombus.

(I think there may be others but these are the few I know)
8 0
2 years ago
Ari rents the bike for 4 hours, and Meg rents the scooter for 3 hours. What is the total cost of the rentals?
Rudiy27

Answer: it’s 66 I got it right

Step-by-step explanation:

6 0
2 years ago
The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented
larisa86 [58]

Answer: 10.2

Step-by-step explanation:

3 0
2 years ago
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