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DaniilM [7]
3 years ago
12

Use the Distance Formula to find the distance between each pair of points. Round to the nearest tenth if necessary.

Mathematics
1 answer:
Eduardwww [97]3 years ago
5 0
3. Sqrt of 40

4. Sqrt of 148


Distance formula is sqrt of (x-x1)^2+(y-y1)^2

So (-4-2)^2+ (3-5)^2

(-6)^2+(-2)^2

36+4

Sqrt of 40

Do the same process for 4!

Ps don’t forget to keep the square root

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3 years ago
0.933333 as a fraction show work
Art [367]

Answer:

84/90

Step-by-step explanation:

Let 0.9333....... be x.

10x = 9.3333....... & 100x = 93.33333.......

So,

=> 100x - 10x = 93.33333...... - 9.333333.....

=> 90x = 84

=> x = 84/90

6 0
3 years ago
Read 2 more answers
Perimeter of an isosceles triangle is 90 m. If the length of the two equal sides is three fourth of the unequal side , find the
Sveta_85 [38]

Answer:

The length of the equal side is 27 meters each and that of the unequal side is 36 meters

Step-by-step explanation:

An isosceles triangle is a triangle with two sides being equal (also two equal base angles).

Let us assume the length of the two equal sides to be x meters each, and the length of the unequal side to be y meter. Since the perimeter of the triangle is 90 m, it can be expressed as:

x + x + y = 90

2x + y = 90

But the length of the equal side is  three fourth of the unequal side, i.e x = 3/4y

Therefore:

2(3/4y) + y = 90

3/2y + y = 90

2.5y = 90

y = 90/2.5

y = 36 meters

Also x = 3/4 * 36 = 27 meters

The length of the equal side is 27 meters each and that of the unequal side is 36 meters

5 0
3 years ago
Prove Euler's identity using Euler's formula.<br> e^ix = cos x + i sin x
Korolek [52]

First list all the terms out.

e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...

Then, we can expand them.

e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...

Then, we can use the rules of raising i to a power.

e^ix = 1 + ix - x^2/2! - ix^3/3!...

Then, we can sort all the real and imaginary terms.

e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)

We can simplify this.

e^ix = cos x + i sin x

This is Euler's Formula.

What happens if we put in pi?

x = pi

e^i*pi = cos(pi) + i sin(pi)

cos(pi) = -1

i sin(pi) = 0

e^i*pi = -1 OR e^i*pi + 1 = 0

That is Euler's identity.

3 0
3 years ago
A rocket is launched from a tower. The height of the rocket , y in feet, is related to the time after launch, x in seconds, by t
Nikolay [14]
<h3>Answer:  Max height = 455.6 feet</h3>

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

Explanation:

The general equation

y = ax^2 + bx + c

has the vertex (h,k) such that

h = -b/(2a)

In this case, a = -16 and b = 147. This means,

h = -b/(2a)

h = -147/(2*(-16))

h = 4.59375

The x coordinate of the vertex is x = 4.59375

Plug this into the original equation to find the y coordinate of the vertex.

y = -16x^2+147x+118

y = -16(4.59375)^2+147(4.59375)+118

y = 455.640625

The vertex is located at (h,k) = (4.59375, 455.640625)

The max height of the rocket occurs at the vertex point. Therefore, the max height is y = 455.640625 feet which rounds to y = 455.6 feet

5 0
3 years ago
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