Determine the distance between the points (-2,3) and (5,- 3).

1 answer:

5 0

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[5-(-2)]^2+[-3-3]^2}\implies d=\sqrt{(5+2)^2+(-6)^2} \\\\\\ d=\sqrt{49+36}\implies d=\sqrt{85}\implies d \approx 9.22$

You might be interested in

Convert 6\5 into a mixed number

netineya [11]

6/5 into a mixed number is 5.

4 0

3 years ago

Trigonometric equations 5sinx = 3sinx + square root of 2

Lera25 [3.4K]

$\qquad\qquad\huge\underline{{\sf Answer}}♪$

Let's solve for x ~

$\qquad \sf \dashrightarrow \:5 \sin(x) = 3 \sin(x) + \sqrt{2}$

$\qquad \sf \dashrightarrow \:5 \sin(x) - 3 \sin(x) = \sqrt{2}$

$\qquad \sf \dashrightarrow \:2 \sin(x) = \sqrt{2}$

$\qquad \sf \dashrightarrow \: \sin(x) = \sqrt{2} \div 2$

$\qquad \sf \dashrightarrow \: \sin(x) = \frac{1}{ \sqrt{2} }$

$\qquad \sf \dashrightarrow \:x = 45 \degree \: \: or \: \: \frac{\pi}{4} \: rad$

・．━━━━━━━†━━━━━━━━━．・

4 0

2 years ago

Help me please. 20+(-16)4

Sphinxa [80]

P.E.M.D.A.S
First , you multiply.

200+(-16)4
200+(-64)

Since they have different signs, you subtract and keep the sign of the greater absolute value.

200+(-64)=136

8 0

3 years ago

the rectangular metallic block is 30cm long ,25cm broad and8cm high.how many pieces of rectangular slices each of 5mm thick can

Dmitrij [34]

Answer:

Step-by-step explanation:

cuz if u put all the fives it takes up for it u would get 12 times five

8 0

3 years ago

Solve for w. 69=5w – 16 Simplify your answer as much as possible.

7nadin3 [17]

W=17 im too good at math to be wrong about this