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levacccp [35]
1 year ago
15

Factorize: 1+4a+4a^2​

Mathematics
2 answers:
Colt1911 [192]1 year ago
6 0

Answer:

(2a +1)( 2a + 1)

Step-by-step explanation:

  • 1+4a+4a^2

  • =4a^2 +4a +1

  • =4a^2 +2a + 2a + 1

  • =2a(2a +1) +1( 2a + 1)

  • =(2a +1)( 2a + 1)
Licemer1 [7]1 year ago
3 0

Answer: (1+2a)^2 or (1+2a)(1+2a)

Step-by-step explanation:

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A 4-centimeter rod is attached at one end A to a point on a wheel of radius 2 cm. The other end B is free to move back and forth
zloy xaker [14]

Answer:

Step-by-step explanation:

The triangle that was formed has radius 2:

hypotenuse = 2

adjacent = x = 2*cosθ

opposite = y = 2*sinθ

from the first picture on the left, we see that the rod has length of 4.

We then use pythagoras theorem with respect to the triangle formed with the rod, i.e, the opposite leg, and the length of the remaining side (say, L), we have:

2²sin²θ +L² = 4²

On rearranging and making L subject of formula, we have

L = √(16 - 4sin²θ)

or

L = 2√(4 - sin²θ)

Also, the distance of point B is from the center of the circle, and it is:

2cosθ + 2√(4 - sin²θ)

We know that

3.5 revolutions per second means 3.5(2π) per second.

or

7π radians per second

So we try to write the angle formed as:

θ = 7π*t

where t is the time in seconds.

(a)

2cos(7πt) + 2√(4 - sin²(7πt))

at t = 1/21 we substitute for t, and then

2cos(π/3) + 2√(4 - sin²(π/3))

= 1 + √13 or approximately 4.6

(b)

(c)

B = 2cos(7πt) + 2√(4 - sin²(7πt))

dB/dt = - 14πsin(7πt) - { 14π*cos(7πt)sin(7πt)/√(4 - sin²(7πt)) }

4 0
2 years ago
Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level
jek_recluse [69]

Answer:

Step-by-step explanation:

Is this the entire question? Some of it makes no sense without a diagram or something.

To get rid of A you actually have to solve the equation.

7h – 5(3h – 8) = –72        Remove the brackets

7h - 15h + 40 = - 72          Combine the like terms

- 8h + 40 = - 72                Subtract 40 from both sides

- 8h = -112                        Divide by -8

    h = 14

Well the depth is a whole number so A is true.

We don't know anything about time. But the answer is positive.

C is false because B is true.

We don't know exactly what the depth of the well is.

I would pick A, but you need the entire question.

8 0
2 years ago
Please solve these coin problems:
ratelena [41]
1)
Solving from system of equations:
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2)
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From system of equations:
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3 years ago
Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
il63 [147K]

y = mx + c

7 = 4(-8) + c

c = 39

The equation is y = 4x + 39

y - 7 = 4 ( x - (-8))

y -7 = 4 (x +8)

4 0
3 years ago
Rewrite the expression so that the GCF is factored completely: 2x^3y+18xy-10x^2y-90y
Agata [3.3K]

2x^3y+18xy-10x^2y-90y

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= (x^2 + 9)(2xy - 10y)

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6 0
3 years ago
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