All categories

4 years ago

In a rectangular coordinate system what is the distance from (-2,-1) to (5,3)

Mathematics

1 answer:

LenKa [72]4 years ago

8 0

Answer:

Distance is $\sqrt{65}$

Step-by-step explanation:

Use the distance formula:

$\sqrt{(x_{2} - x_{1)^{2} + (y_{2} - y_{1})^{2}}$

$\sqrt{(5 - (-2))^{2} + (3 - (-1))^{2} }$

$\sqrt{(7)^{2} + (4)^{2}}$

$\sqrt{49 + 16}$

$\sqrt{65}$

You might be interested in

If 3a +5b =10 and 5a +3b =30 what is the average of a and b?

saw5 [17]

Hello, please consider the following.

$3a+5b + 5a + 3b = 8(a+b)=10+30=40\\\\a+b=\dfrac{40}{8}=5$

And the average is

$\dfrac{a+b}{2}\boxed{=\dfrac{5}{2}}$

Thank you.

6 0

3 years ago

At a store, a hat has a regular price of x dollars. During sale, the price of the hat

MariettaO [177]

Answer:

x - 0.2x

Since the price of the hat is labelled = x,

The percentage discount on the hat price = 20%,

Thus, the discount = 20% of the price marked

= Twenty percent of x

=0.2 x =0.2 x

Therefore, the hat's new price = Marked price - Discount

= x- 0.2 = x

5 0

3 years ago

Find each difference.

serg [7]

Answer: $-9s^2 + 4s-2$

Step-by-step explanation:

$(-6s^2 +12s-8)-(3s^2 + 8s-6)\\\\=-6s^2 + 12s-8-3s^2 - 8s+6\\\\=\boxed{-9s^2 +4s-2}$

3 0

2 years ago

Help a g out on his homework Ill see yall some yayo

Sergio039 [100]

1.a 2.b 3.c ,cout the individual lines in the middle to get the answer

4 0

3 years ago

Read 2 more answers

11. Simplify the complex fraction. n-4/n² - 2n-15/n +1/n +3 NEED HELP ASAP!!!!

dalvyx [7]

Simplification of equation $\frac{n-4}{n^{2}} - \frac{2n-15}{n} + \frac{1}{n} +3$ is $1 + \frac{17}{n} - \frac{4}{n^{2}}$ .

Step-by-step explanation:

We have the following complex fraction to simplify:

$\frac{n-4}{n^{2}} - \frac{2n-15}{n} + \frac{1}{n} +3$

⇒ $\frac{n-4}{n^{2}} - \frac{2n-15}{n} + \frac{1}{n} +3$

{making denominator same of all expressions }

⇒ $\frac{n-4}{n^{2}} - \frac{2n-15(n)}{n(n)} + \frac{1(n)}{n(n)} +\frac{3n^{2}}{n^{2}}$

⇒ $\frac{n-4}{n^{2}} - \frac{2n^{2}-15n}{n^{2}} + \frac{n}{n^{2}} +\frac{3n^{2}}{n^{2}}$

⇒ $\frac{n-4 -2n^{2} + 15n + n + 3n^{2}}{n^{2}}$

⇒ $\frac{n^{2}+17n-4}{n^{2}}$

⇒ $1 + \frac{17}{n} - \frac{4}{n^{2}}$

∴ Simplification of equation $\frac{n-4}{n^{2}} - \frac{2n-15}{n} + \frac{1}{n} +3$ is $1 + \frac{17}{n} - \frac{4}{n^{2}}$ .

8 0

3 years ago