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gayaneshka [121]
3 years ago
15

Write the expression as a square of a binomial: 1/4 a^2+2ab^2+4b^4

Mathematics
1 answer:
vaieri [72.5K]3 years ago
7 0

Answer:

a+b=mx+b

Step-by-step explanation:

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What is the slope and y-intercept of this equation?<br> y=2-9x<br> m=<br> b=
Juli2301 [7.4K]

Answer:

Slope (m) is the number being multiplied by x (make sure you include the sign in front of it).

y- intercept (b) is the number other than the x

Step-by-step explanation:

3 0
3 years ago
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Gravel is being dumped from a conveyor belt at a rate of 20 ft3 /min and its coarseness is such that it forms a pile in the shap
pantera1 [17]

Answer:

The height of the pile is increasing at the rate of  \mathbf{ \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

i.e \dfrac{dV}{dt}= 20 \ ft^3/min

we know that radius r is always twice the   diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

V = \dfrac{\pi r^2 h}{3}

V = \dfrac{\pi (h/2)^2 h}{3}

V = \dfrac{1}{12} \pi h^3

V = \dfrac{ \pi h^3}{12}

Taking the differentiation of volume V with respect to time t; we have:

\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}

\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}

we know that:

\dfrac{dV}{dt}= 20 \ ft^3/min

So;we have:

20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}

20= 56.25 \pi \times \dfrac{dh}{dt}

\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

The height of the pile is increasing at the rate of  \mathbf{ \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

8 0
3 years ago
You bought a magazine for $5 and some notepads for $4 each. You spent a total of $24. What is the most amount of notepads you ca
slava [35]

Answer: 4 notepads


Step-by-step explanation:


3 0
3 years ago
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Is 7 a solution of the equation 4x = 54? Explain.
vladimir1956 [14]

Answer: No

Step-by-step explanation:Divide 4 from both sides to find that x actually equals 13.5

6 0
3 years ago
He unit circle has a radius of 1 unit and is centered at the origin. It is dilated so that it passes through the point (4, 0).
Advocard [28]
We know that

if the dilated circle <span>passes through the point (4, 0)
so
the new radius is the distance from the origin to point (4,0)
d=</span>√[(4-0)²+0²]-----> d=√16------> d=4 units

the new radius  is 4 units
original radius is 1 units

[new radius]=[scale]*[original radius]
scale=new radius/original radius-----> scale=4/1-----> 4

the answer is
<span>the scale factor of dilation is 4</span>
5 0
3 years ago
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