Find the exact distance between the points (-4,0) and (-11,-12).

1 answer:

7 0

Use the distance formula:
 $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)}$ 
Plug in coordinates:
 $\sqrt{(-11-(-4))^2 + (-12-0)^2}$
[tex] \sqrt{7^2 + -12^2} [/tex]
 $\sqrt{49 + 144}$
Final answer:
 $\sqrt{193}$

You might be interested in

An arithmetic sequence has this recursive formula:

horsena [70]

Answer:

$\text{\bf{C.}}\quad a_n=4+(n-1)(-7)$

Step-by-step explanation:

An arithmetic sequence that is described by the explicit formula ...

$a_n=a_1+(n-1)d$

can also be described by the recursive formula ...

$\left \{\begin{array}{l}a_1=\text{(first term)}&a_n=a_{n-1}+d&\end{array}\right.$

Matching parts of the formulas, we see that a1 = 4, d = -7. Putting these values into the explicit formula gives ...

$a_n=4+(n-1)(-7)$

4 0

3 years ago

WILL GIVE MEDAL AND FAN! you invest $5,175.00 in a stock plan. it increases 9% the first year and then loses 5% of it's value th

Ne4ueva [31]

5,175 + 9% = 5640.75

5640.75 - 5% = 5302.305

Original investment = 5,175
Gain = 5,302.305

Subtract them both and get = 127.305

5 0

3 years ago

Read 2 more answers

Find the exact length of the 3rd side 13 12

BlackZzzverrR [31]

is there more information

4 0

3 years ago

How far is the nearest hundredth of an inch does each corner of the burger stick out from a bun

nadya68 [22]

Bread:
   Area = π R²

    16 in² = π R²

    R² = 16 in² / π

The radius of the bun = √(16 in² / π) = 2.257 inches

-- The meat :
   Area = side²

   16 in² = side²

   Side = √16 in² = 4 inches

   Diagonal of the square = 4 √2 = 5.657 inches

   1/2 of the burgerdiagonal = 2.828 inches .

If the meat is centered on the bun, then the corner of the burger
extends

   (2.828 - 2.257) = 0.57 inch

rounded to the nearest hundredth inch.

4 0

4 years ago

What is 15persent of 2.15

Tanya [424]

15% of 2.5 is 0.375

8 0

4 years ago