What property does this equation illustrate? <br> 24(70+5)=24(70)+24(5)

Calculate the distance between points (-8,-2) and (4,3)

Kamila [148]

To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:

$\mathsf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}$

"d" represents the distance and coordinates are expressed as follows: (x, y)

Let's go to the calculations.

$\mathsf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\\\\ \mathsf{d=\sqrt{(4-(-8))^2+(3-(-2))^2}}\\\\ \mathsf{d=\sqrt{(4+8)^2+(3+2)^2}}\\\\ \mathsf{d=\sqrt{(12)^2+(5)^2}}\\\\ \mathsf{d=\sqrt{144+25}}\\\\ \mathsf{d=\sqrt{169}}\\\\ \underline{\mathsf{d=13}}$

The answer is 13 uc.

5 0

4 years ago

Convert 18/5 to a mixed number

TiliK225 [7]

Your answer would be 3 an 3/5 :) hope i helped ! :D:D:D:D:D:D:D

5 0

3 years ago

Read 2 more answers

How to work out the upper and lower bound of a number?

IgorLugansk [536]

Answer:

This can be shown as an inequality. A quick way to calculate upper and lower bands is to halve the degree of accuracy specified, then add this to the rounded value for the upper bound, and subtract it from the rounded value for the lower bound.

I hope it's helpful!

3 0

3 years ago

Read 2 more answers

What will be the firm's quick ratio after Nelson has raised the maximum amount of short-term funds? Do not round intermediate ca

Marysya12 [62]

Based on the short-term debt that Nelson raises, the firm's quick ratio will be 1.204.

<h3>What is the firm's quick ratio?</h3><h3 />

First, find the maximum amount of short-term funds that Nelson can raise?

Assuming this amount is x, we can find it with the current ratio formula:

Current ratio = Current assets / Current liabilities

2 = (1,260,000 + x) / ( 450,000 + x)

x = $360,000

The quick ratio would therefore be:

= ( New Current assets - New inventory) / New current liabilities

= ( (1,260,000 + 360,000) - (285,000 + 360,000) ) / (450,000 + 360,000)

= 1.204

Find out more on quick ratio at brainly.com/question/13917900.

#SPJ1

5 0

2 years ago

The Quadratic equation y=0.5(x-1)(x-n) has an x - intercept at (1,0) and a vertex at (-2,4.5). what is the value of n A -5 B -2

andre [41]

Step-by-step explanation:

the point being that a quadratic equation has 2 x-intercepts (or solutions of x for y = 0).

the advantage of this nice form the equation is written in is, that we see immediately both conditions, when y can be 0 : one of the bracket expressions must be 0.

so, the point (1, 0) covers (x-1).

we get the solution for (x-n), when we consider that such a quadratic function is simply a parabola and is symmetric around its vertex point.

the x value of the vertex (-2) tells us, that it is 3 units on the left side of the (1, 0) x-intercept point.

due to the symmetry of the curve the second x-intercept point must be even further to the left with additional 3 units distance in x direction.

so, -2 - 3 = -5

and A is the correct answer option.

8 0

3 years ago

What property does this equation illustrate? 24(70+5)=24(70)+24(5)