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3 years ago

Find the slope of the line.

Mathematics

2 answers:

elena55 [62]3 years ago

4 0

Answer:

The slope is 0.

Step-by-step explanation:

The slope of any horizontal line is zero.

almond37 [142]3 years ago

4 0

Answer:

Step-by-step explanation:

Since the line is horizontal(left-right), the slope is zero.

If the line had been vertical(top-bottom), the slope would have been zero.

If there was an applicable rise over run, the slope would have been a(the difference between points along the y-axis) over b(the difference between points along the x-axis).

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Find the missing side of the triangle (7 and 14 btw)

jasenka [17]

Answer:

B. 7 $\sqrt{3}$

Step-by-step explanation:

3 0

3 years ago

The surface area of a right circular cone of radius r and height h is S = πr√ r 2 + h 2 , and its volume is V = 1 3 πr2h. What i

kirill115 [55]

Answer:

Required largest volume is 0.407114 unit.

Step-by-step explanation:

Given surface area of a right circular cone of radious r and height h is,

$S=\pi r\sqrt{r^2+h^2}$

and volume,

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

To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,

$f(r,h)=\frac{1}{3}\pi r^2 h$

subject to,

$g(r,h)=\pi r\sqrt{r^2+h^2}=8\hfill (1)$

We know for maximum volume $r\neq 0$ . So let $\lambda$ be the Lagranges multipliers be such that,

$f_r=\lambda g_r$

$\implies \frac{2}{3}\pi r h=\lambda (\pi \sqrt{r^2+h^2}+\frac{\pi r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}r h= \lambda (\sqrt{r^2+h^2}+\frac{ r^2}{\sqrt{r^2+h^2}})\hfill (2)$

And,

$f_h=\lambda g_h$

$\implies \frac{1}{3}\pi r^2=\lambda \frac{\pi rh}{\sqrt{r^2+h^2}}$

$\implies \lambda=\frac{r\sqrt{r^2+h^2}}{3h}\hfill (3)$

Substitute (3) in (2) we get,

$\frac{2}{3}rh=\frac{r\sqrt{R^2+h^2}}{3h}(\sqrt{R^2+h^2+}+\frac{r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}rh=\frac{r}{3h}(2r^2+h^2)$

$\implies h^2=2r^2$

Substitute this value in (1) we get,

$\pi r\sqrt{h^2+r^2}=8$

$\implies \pi r \sqrt{2r^2+r^2}=8$

$\implies r=\sqrt{\frac{8}{\pi\sqrt{3}}}\equiv 1.21252$

Then,

$h=\sqrt{2}(1.21252)\equiv 1.71476$

Hence largest volume,

$V=\frac{1}{3}\times \pi \times\frac{\pi}{8\sqrt{3}}\times 1.71476=0.407114$

3 0

3 years ago

At a restaurant jars of tomato sauce are stored in boxes in the pantry. Each box contains 8 jars of tomato sauce. A cook uses 2

defon

Answer:

y = 8x − 2

Step-by-step explanation:

x =the number of boxes

Total jars of tomato sauce is each box contains 8 jars so that is 8 x x=8x

2 jars were removed making it 8x-2

y will be 8x-2

3 0

3 years ago

Which of the following is true for this table? Will give brainliest for correct answer.

marshall27 [118]

It could be seen from the table that when x is 2, the y value is 0. Thus, it can be concluded that the x intercept is (2,0)

The correct answer is B

6 0

3 years ago

A package weighing 5.4 lb is to be shipped to Europe. How many kilograms does this package weigh

Softa [21]

1kg = 2.205 lbs

Therefore, 1 lb = 1/2.205 kg
Or 5.4lb = 5.4/2.205
= 2.44 kgs
Thus, this package will weigh 2.44 kgs

7 0

3 years ago

Read 2 more answers