Can somone explain pythagorous

Mathematics

1 answer:

AleksAgata [21]2 years ago

8 0

Answer:

$x=6$

Step-by-step explanation:

Pythagorean Theorem: $AC^2+BC^2=AB^2$

BC= x

AB= 10 cm

AC= 8 cm

Now, Substitute

$8^2+x^2=10^2$

$64+x^2=100$

$100-64=x$

$\sqrt{36}=x^2$

Square root x^2= x, √(36)=6

$x=6$

Therefore, the length of x = 6

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Read 2 more answers

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

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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: $m=\frac{y_2-y_1}{x_2-x_1}$ ,