Hey there!!
How do we find the equation of a line ?
Ans : We take the slope and the y - intercept and get them together.
How do you find slopes?
Ans - In order to find slop, we will need to use the slop formula which is
( y₂ - y₁ ) / ( x₂ - x₁ )
The two points shown in the above question are
( 4 , -8 ) and ( 8 , 5 )
y₂ = 5 , y₁ = -8 and x₂ = 8 , x₁ = 4
Now plug in the values:
( 5 + 8 ) / ( 8 - 5 )
13 / 3
Hence, the slope is 13/3
The basic formula : y = mx + b
Where b is the y-intercept and m is the slope.
We have found the slope, hence, the formula would become
... y = 13/3 x + b
Now take a coordinate and substitute it .
I will take ( 8 , 5 )
x = 8 and y = 5
Now plug in the values
... 5 = 13/3 × 5 + b
... 5 = 65/3 + b
Subtract 65/3 on both sides
... 5 - 65/3 = b
... -50/3 = b
Hence, the y-intercept is -50/3
Now plug in all the values to get the total equation...
The final equation : y = 13x/3 - 50/3
... y = 13x - 50 / 3
Hope my answer helps!!
Answer:
g(x)=8x+16 for x= -3, 0, and 8.
g(-3) = -8
g(0)= 16
g(8)= 80
Step-by-step explanation:
Step 1. Plugin the given numbers.
g(-3)= 8(-3) + 16
g(0)= 8(0) + 16
g(8)= 8(8) + 16
Step 2. Solve the equations.
g(-3)= -24 + 16 Multiplied -3 and 8.
g(-3)= -8 Added -24 and 16
g(0)= 0+16 Multiplied 0 and 8.
g(0)= 16 Added 16 and 0.
g(8)= 64+16 Multiplied 8 and 8.
g(8)= 80 Added 64 and 16.
Peppermint to chocolate is 5:3, so5p=3c, and peppermints to gummies is 3:4, so 3p = 4g.
5p = 3c
*3 *3
15p = 9c
---------------
3p = 4g
*5 *5
15p = 20g
---------------
15p = 9c
15p = 20g
9c = 20g, so chocolates to gummies is 9:20.
Length(l)= 2w
width(w)= w
Perimeter(P)= 2w+2l= 72 (simplify expression: divide each side by 2 )
P= w+l= 36 (plug in "2w" for "l")
P= w+(2w)= 36
P= 3w= 36 (divide each side by 3 to find the width)
w= 12 units
find length:
l=2w
l= 2(12)
l= 24 units
Answer:
The length of this rectangle is 24 units and the width is 12 units.
4-2=2
3.85 rounded to the nearest one is 4
2.17 rounded to the nearest one is 2
