What is the distance between the points ( − 4 , 5 ) and ( 8 , 9 ) ?

Mathematics

1 answer:

anygoal [31]3 years ago

7 0

Answer:

Sqrt of 160

Step-by-step explanation:

The distance, try to think it as a triangle, so you will find out that the distance equals the sqrt of(8-(-4))^2 + (9-5)^2, so it will be sqrt of(144+16) which is sqrt of 160, so the answer will be sqrt of 160

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Mica bought a new smart phone for $258.13. That was the price after his 18.25% discount. What was the original price of the phon

julia-pushkina [17]

The original price of phone is $ 315.76

Solution:

Given that Mica bought a new smart phone for $ 258.13.

That was the price after his 18.25% discount

To find: original price of phone

From given question,

price after discount = $ 258.13

discount = 18.25 %

Let "x" be the original price of phone

price after discount = original price - discount

$258.13 = x - 18.25 \% \text{ of } x$

$258.13 = x - \frac{18.25}{100}x$

$258.13 = x(1 - \frac{18.25}{100})$

$258.13 = x(1 - 0.1825)\\\\258.13 = x( 0.8175)\\\\x = \frac{258.13}{0.8175}\\\\x = 315.76$

Thus original price of phone is $ 315.76

4 0

4 years ago

4x-2y=14

Blababa [14]

4x - 2y = 14
y = 0.5x -1

Get just one variable on one side for both equations.

4x - 2y = 14 ⇒ 4x = 2y + 14 ⇒ 4x - 14 = 2y
y = 0.5x - 1 ⇒ x - 2 = 2y

Use the transitive property and then solve for x.

x-2 = 4x-14
12 = 3x
x = 4

Edit: Apprently I didn't use substitution. Oops! Sorry...

4 0

3 years ago

Read 2 more answers

A cone and a sphere both have a radius of 1. If you fill the cone with liquid, and pour it into the sphere, it fits exactly. Wha

PtichkaEL [24]

Answer and Step-by-step explanation:

First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.

Volume formula of Sphere

V = $\frac{4}{3} \pi r^2$