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4 years ago

The equation y - 2 = 3(x + 1) is in point-slope

Mathematics

1 answer:

attashe74 [19]4 years ago

5 0

Y-2=3x+3
Then add two
So y=3x+5
Hope this helps sorry if wrong

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he volume of a cone of radius r and height h is one-third the volume of a cylinder with the same radius and height. Does the su

antoniya [11.8K]

Answer:

The surface area of a cone of radius r and height h not equal to one-third the surface area of a cylinder with the same radius and height.

Relationship is $S_c=(\frac{\sqrt{(r+h)}}{2h})S_C$

Step-by-step explanation:

Given : The volume of a cone of radius r and height h is one-third the volume of a cylinder with the same radius and height.

To find : Does the surface area of a cone of radius r and height h equal one-third the surface area of a cylinder with the same radius and height?

If not, find the correct relationship. Exclude the bases of the cone and cylinder.

Solution :

Radius of cone and cylinder is 'r'.

Height of cone and cylinder is 'h'.

The volume of cone is $V_c=\frac{1}{3}\pi r^2 h$

The volume of cylinder is $V_C=\pi r^2 h$

$\frac{V_c}{V_C}=\frac{\frac{1}{3}\pi r^2 h}{\pi r^2 h}$

$V_c=\frac{1}{3}V_C$

i.e. volume of cone is one-third of the volume of cylinder.

Now,

Surface area of the cone is $S_c=\pi r\sqrt{(r+h)}$

Surface area of the cylinder is $S_C=2\pi rh$

Dividing both the equations,

$\frac{S_c}{S_C}=\frac{\pi r\sqrt{(r+h)}}{2\pi rh}$

$\frac{S_c}{S_C}=\frac{\sqrt{(r+h)}}{2h}$

$S_c=(\frac{\sqrt{(r+h)}}{2h})S_C$

Which clearly means $S_c\neq \frac{1}{3}S_C$

i.e. The surface area of a cone of radius r and height h not equal to one-third the surface area of a cylinder with the same radius and height.

The relationship between them is

$S_c=(\frac{\sqrt{(r+h)}}{2h})S_C$

4 0

3 years ago

One of the byproducts of nuclear power generation is Uranium-233. Uranium is decaying at a constant 32% rate per day. If 12,880

Stells [14]

A trick for solving this on a calculator is entering 12880*.68 twenty times

Or f(t)=a(l-r)^t

t=time
a=initial amount
r=rate of decrease

f(20)=12880(l-.32)^20

It is about 5.75564656018

8 0

3 years ago

What is the value of the expression shown below? 7 + (2 + 6) 2 ÷ 4 ⋅ 1 over 2 whole to the power of 4 (5 points)

Maru [420]

Answer:

Step-by-step explanation:

4 0

3 years ago

Select the system of linear inequalities whose solution is graphed.

kicyunya [14]

Answer:

x > –3; 5y ≥ –4x – 10

Step-by-step explanation:

The dashed vertical line is the inequality x > -3 or x < -3. All vertical lines have the form x = a. Since it is dashed then the sign must be < or >.

The solid line has a y-intercept at -2 and a slope of -4/5. This means it must be the equation y ≥ -4/5x -2 or y ≤ -4/5x - 2. This is the same equation as 5y ≥ -4x - 10.

So the solution is x > –3; 5y ≥ –4x – 10.

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3 years ago

Drag the numbers below to put them in order from least to greatest: 1.07 1.74 -0.1 -0.06 1.34 -0.56

Vinvika [58]

Answer: -0.56, -0.1, -0.06, 1.07, 1.34, 1.74

Step-by-step explanation: hopes this helped!

3 0

3 years ago

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