First method: form a triangle from x = 4 to x = 7. See vertically and horizontally (count the squares). It would be 5 and 3. Therefore 5/3 would be the slope.

Second method: use the slope formula

Determine 2 points on the graph

(4,0) and (7,5)

Formula: (y2-y1)/(x2-x1)

(5-0)/(7-4) = 5/3

The slope is 5/3

5 0

3 years ago

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Henry built one garden that is 3 feet wide and 3 feet long.he also built a garden that us 3 feet wide and 6 feet long, and a gar

kkurt [141]

The length of the garden increases by 3 each time so the area goes up by 9 each time if the pattern doesn't change

6 0

3 years ago

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Evaluate 8p5 and 12C4. please show answer step by step.

Valentin [98]

Hey there :)

8P5 and 12C4

⁸P₅ = is 8! divided by ( 8 - 5 )!

! is called the factorial
You can see in the picture I have attached of how factorial is calculated

$\frac{8!}{(8-5)!} = \frac{8!}{3!}$

Let us do it separately:
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320
3! = 3 x 2 x 1 = 6

Let us combine:
$\frac{40320}{6}$ = 6720

¹²C₄ is 12! divided by ( 4! times ( 12 - 4 )! )

$\frac{12!}{(4!(12-4)!)}$ = $\frac{12!}{(4!)(8!)}$

Let us do it separately:
12! = 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 479001600
( 4! )( 8! ) = ( 4 x 3 x 2 x 1 )( 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 ) = 24 x 41320 = 967680

Let us combine:
$\frac{478001600}{967680}$ = 495

6 0

3 years ago