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lutik1710 [3]
3 years ago
7

Factor this expression completely and then place the factors in the proper location on the grid. 36y2 - 1

Mathematics
2 answers:
Tema [17]3 years ago
7 0
I'm assuming that y2 means y^2 or y squared. In that case, your factors will be (6y+1) and (6y-1). 
zaharov [31]3 years ago
6 0

Answer:

The factors of tex]36y^2-1[/tex] are (6y+1)(6y-1)

Step-by-step explanation:

Consider the given expression 36y^2-1

We have to factorize it completely  and then place the factors on grid.

Consider the given expression  36y^2-1

We know algebraic identity, a^2-b^2=(a-b)(a+b)

Using above stated algebraic identity , we have,

36y^2 can be written as 6y \times 6y

36y^2-1=(6y)^2-1^2=(6y+1)(6y-1)

Thus, the factors of tex]36y^2-1[/tex] are (6y+1)(6y-1)

Below attachment shows the placement on grid.

 

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Solve the question below, please.
Ne4ueva [31]

Answer:

Adam: 52.26°

Step-by-step explanation:

Use Cosine Rule, Cos(C) = \frac{a^2 + b^2 - c^2}{2ab}, to find the angle of both players.

✔️Angle of Carlos:

Let the angle be C,

a = 50 ft

b = 40 ft

c = 24 ft

Plug in the values into the equation

Cos(C) = \frac{50^2 + 40^2 - 24^2}{2*50*40}

Cos(C) = \frac{3,524}{4,000}

C = Cos^{-1}(\frac{3,524}{4,000})

C = 28.24° (nearest hundredth)

✔️Angle of Adam:

Let the angle be C,

a = 30 ft

b = 22 ft

c = 24 ft

Plug in the values into the equation

Cos(C) = \frac{30^2 + 22^2 - 24^2}{2*30*22}

Cos(C) = \frac{808}{1,320}

C = Cos^{-1}(\frac{808}{1,320)}

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6 0
3 years ago
The surface area of this rectangular prism is 34 square centimeters. What is the volume is the width is 1 cm, the length is 2 cm
Bezzdna [24]

Answer: 10\ cm^3

Step-by-step explanation:

Given

The surface area of a rectangular prism is 34\ cm^2

Width of prism w=1\ cm

Length of prism l=2\ cm

height of prism h=x\ cm

Surface area is given by

S.A.=2[lw+wh+hl]

Put values

34=2[2\times 1+1\times x+2x]\\17=2+3x\\15=3x\\x=5\ cm

Now, the volume of Prism is given by

V=l\times w\times h

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8 0
3 years ago
Find a polynomial equation that has zeros at x = -4, x = 0, and a double root at x = 7.
Ksju [112]

Answer:

D

Step-by-step explanation:

Given a polynomial f(x) with roots say x = a and x = b, then the factors are

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f(x) = (x - a)(x - b)

Here the roots are x = - 4, x = 0 and double root at x = 7

Thus factors are (x - (- 4)), (x - 0), that is (x + 4) and x

Given a double root at x = 7 the factor is (x - 7)², thus polynomial is

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7 0
3 years ago
The sides of a rectangle are in the ratio of 4:5. If the width is 28 in., find the length, the perimeter, and the area of this r
nadezda [96]
If the width is 28 inches, then divide that by 4 and you get 7. You multiply that by 5 to get the length. That would be 35. Just to check, you know that the width 28 and length 35 are in ratio 4:5 if you divide by 7. The perimeter would be 2(35+28)=63*2=126. So the perimeter is 126. The area would be 35*28 which is 980. To sum up, the answers are as follows.

Length: 35 in
Perimeter: 126 in
Area: 980 inches squared.
5 0
3 years ago
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