What is the distance between the two points (-8,-6) and (-2,4)?

Mathematics

1 answer:

MAVERICK [17]3 years ago

6 0

Answer:

$\sqrt{136}$ = 11.66 units

Step-by-step explanation:

distance between 2 points (a,b) and (c,d) = $\sqrt{(a^{2}-c^{2} ) +(b^{2}-d^{2} ) }$

= $\sqrt{((-8)^{2}-(-2)^{2} ) + ((-6)^{2}-4^{2}) }$

= $\sqrt{136}$

= 11.66 units

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You go to an arcade and purchase a card with game credits. After playing 5 games you have 33 credits left. You play 4 more games

Amanda [17]

Answer:

$y=-3x+48$

Step-by-step explanation:

We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is: $y=mx+b$ , where m= Slope of the line, b= y-intercept.

To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.

We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).

Let us substitute coordinates of our both given points in slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$ ,