Answer:
Equation of the line in point-slope form: y - 5 = -⅚(x - 2)
Equation of the line in slope-intercept form: y = -⅚x + 20/3
Step-by-step explanation:
Equation of a line can be expressed in the point-slope form as y - b = m(x - a), where,
m = slope = -⅚
a = 2
b = 5
Substitute the values into y - b = m(x - a):
y - 5 = -⅚(x - 2) => point-slope form.
We can rewrite this in the slope-intercept form, such as:
Multiply both sides by 6
6(y - 5) = -5(x - 2)
6y - 30 = -5x + 10
6y - 30 + 30 = -5x + 10 + 30
6y = -5x + 40
Divide both sides by 6
y = -5x/6 + 40/6
y = -⅚x + 20/3
There are 3 egg rolls divide evenly to 8 sisters
for 1 egg roll each sister would receive 1/8 since there are 3 egg rolls
multiply 1/8 x 3
each sister will get 3/8 of an egg roll
hope this helps
Answer:
just need
Step-by-step explanation:
free points
Answer:
The width of the frame is 3 inches
Step-by-step explanation:
We are told that the inner rectangle is 10 inches by 16 inches.
It means the outer rectangle has to be (L = 10 + 2x) by (W = 16 + 2x),
Where x represents the width of the frame.
The perimeter of the frame is given by; p = 2L + 2W
p = 2(10+2x) + 2(16+2x)
We are given perimeter, P = 76
Thus;
2(10 + 2x) + 2(16 + 2x) = 76
Divide both sides by 2 to give;
(10+2x) + (16+2x) = 38
(10+16) + (2x+2x) = 38
4x = 38 - 26
4x = 12
x = 12/4 = 3
The width of the frame is x = 3 inches
