All categories

3 years ago

How to prove a midpoint on the line

Mathematics

1 answer:

Fed [463]3 years ago

6 0

Answer:

To show that M is really the midpoint of the line segment PQ, we need to show that the distance between M and Q is the same as the distance between M and P and that this distance is half the distance from P to Q

Step-by-step explanation:

The midpoint M is then defined by M = ((x + X)/2,(y + Y)/2)

You might be interested in

X5+15x4+54x3-25x2-75x-34 by x+8

nordsb [41]

x^4 + 7x^3 - 2x^2 - 9x - 3 - (10/x+8)

5 0

4 years ago

If the diagonal of a square is approximately 12.73, what is the length of its sides?

Alja [10]

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

$D^{2} = L^{2} + L^{2}$

Solving further, we have

$D^{2} = 2L^{2}$

Divide both sides by 2

$\frac{D^{2}}{2} = \frac{2L^{2}}{2}$

$\frac{D^{2}}{2} = L^2$

Take Square root of both sides

$\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}$

$\sqrt{\frac{D^{2}}{2}} = L$

Reorder

$L = \sqrt{\frac{D^{2}}{2}}$

Now, the value of L can be calculated by substituting 12.73 for D

$L = \sqrt{\frac{12.73^{2}}{2}}$

$L = \sqrt{\frac{162.0529}{2}}$

$L = \sqrt{{81.02645}$

$L = 9.001469325$

$L = 9.0015$ (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

7 0

3 years ago

If a hot dog cost $2.99 and 7% tax how much is one hot dog

kicyunya [14]

Since the hotdog is $2.99 with 7% tax increased by hotdog then
$2.99+0.07(2.99)
$2.99+$0.21
=$3.2

4 0

3 years ago

Read 2 more answers

The bill for a stay in a hotel was $188 including $15 tax. what percent of the bill was the tax?

ziro4ka [17]

$\frac{15}{188}\cdot100\%=\\\\\frac{1500}{188}\%\approx8\%\\\\The\ tax\ was\ about\ 8\%\ of \ bill.$

4 0

3 years ago

Please help me simplify these expressions

vaieri [72.5K]

Answer:

6p^5 q^3

Step-by-step explanation:

download the app cymath for these types of questions

this (^) means exponents

-----

Number 5:

2p^2qx3p^3q^2

Take out the constants (2x3)p^2p^3qq^2

Simplify 2x3 to 6, 6p^2p^3qq^2

6p^2+^3q^1+^2

simplify 2+3 to 5, 6p^5q^1+^2

simplify 1+2 to 3

6p^5 q^3

4 0

4 years ago