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3 years ago

What is the point slope form of a line with slope 2 that contains the point (1,3)

Mathematics

1 answer:

Marat540 [252]3 years ago

4 0

Answer:

Option A y-3=2(x-1)

Step-by-step explanation:

we know that

The equation of a line into point slope form is equal to

y-y1=m(x-x1)

In this problem we have

(x1,y1)=(1,3)

m=2

substitute

y-3=2(x-1)

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An airliner maintaining a constant elevation of 2 miles passes over an airport at noon traveling 500 mi/hr due west. At 1:00 PM,

butalik [34]

Answer:

$\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}$

Step-by-step explanation:

Let suppose that airliners travel at constant speed. The equations for travelled distance of each airplane with respect to origin are respectively:

First airplane

$r_{A} = 500\,\frac{mi}{h}\cdot t\\r_{B} = 550\,\frac{mi}{h}\cdot t$

Where t is the time measured in hours.

Since north and west are perpendicular to each other, the staight distance between airliners can modelled by means of the Pythagorean Theorem:

$s=\sqrt{r_{A}^{2}+r_{B}^{2}}$

Rate of change of such distance can be found by the deriving the expression in terms of time:

$\frac{ds}{dt}=\frac{r_{A}\cdot \frac{dr_{A}}{dt}+r_{B}\cdot \frac{dr_{B}}{dt}}{\sqrt{r_{A}^{2}+r_{B}^{2}} }$

Where $\frac{dr_{A}}{dt} = 500\,\frac{mi}{h}$ and $\frac{dr_{B}}{dt} = 550\,\frac{mi}{h}$ , respectively. Distances of each airliner at 2:30 PM are:

$r_{A}= (500\,\frac{mi}{h})\cdot (1.5\,h)\\r_{A} = 750\,mi$

$r_{B}=(550\,\frac{mi}{h} )\cdot (1.5\,h)\\r_{B} = 825\,mi$

The rate of change is:

$\frac{ds}{dt}=\frac{(750\,mi)\cdot (500\,\frac{mi}{h} )+(825\,mi)\cdot(550\,\frac{mi}{h})}{\sqrt{(750\,mi)^{2}+(825\,mi)^{2}} }$

$\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}$

6 0

3 years ago

Which statement are correct about the two-way frequency?

agasfer [191]

A. False. The data is quantitative because we're dealing with numeric values instead of things like names, colors, etc.

B. False. The row categories are "students" and "teachers"

C. True. This value (2) is in the "teachers" row and "does not wear glasses" column.

D. False. The value 32 represents the number of students who wear glasses. See row1, column1

E. True. Look at the last value of the "teachers" row.

===================================================

In summary, the answers are: C and E

5 0

2 years ago

Read 2 more answers

Please help me with any of the questions

Svetlanka [38]

1.) There are 6 numbers you can roll on a standard dice: 1, 2, 3, 4, 5, 6
There are 3 odd and 3 even. Keep in mind that an odd plus an odd will always be even and an even plus an even will always equal an even. Only if you add an odd and an even will you get an odd.

The chances of getting an even sum are much higher which is why you should choose even.

3.) The formula for finding the area of an equilateral triangle is (<span>√3)/4(a^2) where a is just a side length.

Because the perimeter is 12 and each side of an equilateral triangle is equal, we can divide 12 by 3 sides and get each side is 4. Plug in 4 for a.

</span>(√3)/4(4^2) = (√3)/4(16)

Because (√3)/4 = (1 x √3)/4,
(√3)/4(16) is equal to (16 x √3)/4

You have to divide (16 x √3) by 4. 16/4 = 4, and you only need to divide once to. We get 4√3 as the final answer.

7 0

3 years ago

There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different su

Lelechka [254]

Answer:

1980

We can choose 2 men from 9 in 36 in ways.

We can choose 2 women from 11 in 55 ways.

For any arrangement of 2 men there are 55 ways of combining them with 2 women => 55 * 36 = 1980 total ways.

If you're wondering how i got the numbers i used the combination formula:

C(n, k) = $\frac{n!}{k!(n-k)!}$

3 0

2 years ago

Roger is building a storage shed with wood blocks that are in the shape of cubic prisms. Can he build a shed that is twice as hi

azamat

Complete question is;

Roger is building a storage shed with wood blocks that are in the shape of cubic prisms. Can he build a shed that is twice as high as it is wide?

A. Yes. For every block of width, he could build two blocks high.

B. Yes. He could use half as many blocks for the height as the width.

C. There is no way to determine if he can do this.

D. No, it is not possible to do this

Answer:

A. Yes. For every block of width, he could build two blocks high.

Step-by-step explanation:

We are told that the wood blocks are in the shape of cubic prisms.

Now, cube shapes means that all sides are equal.

Now, if he divides the cube into 2, he can use one have to add to the top to make the height double since the sides are equal.

Thus, the height will now be twice a side of the cubic prism.

Thus, he can build a shed twice as high as its width.

6 0

2 years ago

Read 2 more answers