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GenaCL600 [577]
3 years ago
6

Is the graph of 6x2 - 2y = 7 a line? Explain.

Mathematics
1 answer:
Hoochie [10]3 years ago
6 0

Answer:

No, it is a parabola. (assuming that you meant to write 6x² - 2y = 7).

Step-by-step explanation:

If there is a square in the x or y, this gives it away that it cannot be a straight line.

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The value of n is a distance of 1.5 units from -2 on a number line.
valina [46]

Answer:

-3.5 and -0.5 would be the answers

4 0
3 years ago
. A right cylindrical drum is to hold 7.35 cubic feet of liquid. Find the dimensions (radius of the base and height) of the drum
Drupady [299]

Answer:

r=1.05\ \text{ft}

h=2.12\ \text{ft}

20.91\ \text{ft}^3

Step-by-step explanation:

r = Radius

h = Height

Volume of cylinder = 7.35\ \text{ft}^3

V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{7.35}{\pi r^2}

Surface area is given by

A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r^2+2\pi r\dfrac{7.35}{\pi r^2}\\\Rightarrow A=2\pi r^2+\dfrac{14.7}{r}

Differentiating with respect to radius we get

\dfrac{dA}{dr}=4\pi r-\dfrac{14.7}{r^2}

Equating with zero we get

0=4\pi r-\dfrac{14.7}{r^2}\\\Rightarrow 4\pi r=\dfrac{14.7}{r^2}\\\Rightarrow r^3=\dfrac{14.7}{4\pi}\\\Rightarrow r=(\dfrac{14.7}{4\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.05

\dfrac{d^2A}{dr^2}=4\pi-2\times \dfrac{14.7}{r^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=4\pi+2\times \dfrac{14.7}{1.05^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=37.96>0

So, the value of the function is minimum at r=1.05

h=\dfrac{7.35}{\pi r^2}=\dfrac{7.35}{\pi 1.05^2}\\\Rightarrow h=2.12

So, the radius and height which would minimize the surface area is 1.05 feet and 2.12 feet respectively.

Surface area

A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi \times 1.05^2+2\pi 1.05\times 2.12\\\Rightarrow A=20.91\ \text{ft}^3

The minimum surface area is 20.91\ \text{ft}^3.

8 0
3 years ago
Help please! find m∠bcf
77julia77 [94]

Answer:

BCF = 140°

See attached image.

5 0
2 years ago
Read 2 more answers
Can you help me find the perimeter
stiv31 [10]

Answer:

The formula for the perimeter of a rectangle is P = (2*width) + (2*height)

this is basically saying, since opposite sides are equal in a rectangle,

Perimeter = 5 + 5 + 6 + 6, so P = 22ft

Step-by-step explanation:

6 0
3 years ago
Which number produces an irrational number multiplied by 1/3
Vanyuwa [196]
Any irrational number, for example the square root of 2 or pi.
4 0
3 years ago
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