parallel lines have the same slope
The slope-intercept form of a linear equatio is y=mx+b, where m stands for the "slope of the line" and b stands for the "y-intercept of the line"
They give you the equation y= -5/6x+3 Notice this is already on the slope-intercept form, so in this case the slope is -5/6 and the y-intercept is 3
You want an equation of the line that is parallel to the given line. The slopes must be the same, so m=-5/6
So far we have y=-5/6x + b
We don't have b yet but that can be found using the given point (6,-1) which tells you that "x is 6 when y is -1"
Replace that on the equation y=-5/6x + b and you get
-1 = (-5/6)(6) + b
-1 = -5 +b
4 = b
b = 4
We found b, or the y-intercept
Go back to the equation y = -5/6 x + b and replace this b with the b we just found
y = -5/6x + 4
Step-by-step explanation: To add and subtract fractions with the same denominator, or bottom number, place the 2 fractions side by side. Add or subtract the numerators, or the top numbers, and write the result in a new fraction on the top. The bottom number of the answer will be the same as the denominator of the original fractions.
Answer:
16.27
Step-by-step explanation:
where is the thousands number need more details
Answer:
She will have 8 pieces.
Hope you find this helpful!
Answer:
x ≈ 42.3
Step-by-step explanation:
The law of cosines is given. For this problem, ...
a = 25, b = 30, c = x , C = 100°
Filling in these values, we have ...
x^2 = 25^2 +30^2 -2(25)(30)cos(100°)
x^2 ≈ 1785.4723
x ≈ √1785.4723 . . . . take the square root
x ≈ 42.3
