PLZ HELP ME PLZ ASAP!!!!!

What is the distance between the points (-3,-2) and (6, 10)?

Alja [10]

Answer:

The distance between $(-3,-2) and (6, 10)$ $=15$

Step-by-step explanation:

The distance between the two points having given coordinates can be find by using the distance formula.

i.e Distance= $\sqrt{(x_2-x_1)+(y_2-y_1)}$

For the given coordinates $(-3,-2) and (6, 10)$ the distance between the two points is :

Distance = $\sqrt{(6-(-3))^2+(10-(-2))^2} \\=\sqrt{(6+3)^2+(10+2)^2}\\ =\sqrt{9^2+12^2}\\ =\sqrt{81+144} \\=\sqrt{225} \\=15$

8 0

3 years ago

Read 2 more answers

A web store offers two versions of a popular song. The size of a standard version is 2.9 MB. The size of the high-quality versio

olasank [31]

Answer:

This problem is a great systems of equations problem--you have two different variables: song size and number of songs.

Let's call the number of standard version downloads (S) and the high quality downloads (H).

You can make two statements:

For number of songs downloaded: S + H = 910

For download size: 2.8(S) + 4.4(H) = 3044.

S will be the same number in both equations and H will be the same number in both equations, so to find S, we can rearrange the first statement to H = 910 - S, then substitute or plug in (910 - S) wherever you see an H in the second equation so that you have only S's in your equation. Should look like this:

2.8(S) + 4.4(910 - S) = 3044

2.8S + 4004 - 4.4S = 3044

-1.6S = -960

s = 600

Your question only asks for the standard version downloads, but to help you out in future Systems situations-

You can also solve for H once you have S by plugging it into either of your equations like this:

600 + H = 910

-600

H=310

Step-by-step explanation:

hope it help

*comment if my answer is wrong*

5 0

3 years ago

Prove the polynomial identity.

Kaylis [27]

Answer:

Proven

Step-by-step explanation:

We prove the polynomial with factorization. We must first simplify the expression before we can factorize:

$(4\cdot{x^2}-2)\cdot{(4\cdot{x^2}-2)}-16\cdot{x^4}$

$16\cdot{x^4}-8\cdot{x^2}-8\cdot{x^2}+4-16\cdot{x^4}$

$4-16\cdot{x^2}$

4 is the common number and we can take it out of the expression:

$4\cdot{(1-4\cdot{x^2})}$

We can factorize further with the x term being zero. For this to be true we must have -2x and 2x to cancel out and therefore the expression is proven:

$4\cdot{(1-2\cdot{x})}\cdot{(1+2\cdot{x})}$