Answer:
-10/9 < -2/3 < 4/6 < 6/5 < 5/4
(hope this helps!)
Step-by-step explanation:
There are standard formulas for this type of problem. However, it can also be solved by a combination of simple steps.
First, the shortest distance from the point (3,5) to the line y = x +4 (line1) will be along a straight line perpendicular to line1. Give the perpendicular line the name line2. Since the slope of line1 is 1, the slope of line2 will be -1.
Second, since line2 must go through (3,5) and also have a slope of -1, the point slope form can be used for line2:
y - 5 = (-1) (x -3)
So the equation of line2 is y = -x +8.
Third, the point of intersection of line1 and line2 can be found by solving the set of equations:
y = x +4
y = -x + 8
The solution of this set of two equations is x = 2, y = 6 i.e. the point (2,6) .
Fourth, the distance formula can be used to find the distance between (3,5) and (2,6)
d = sqrt( (3-2)2 + (5-6)2 ) = sqrt(2)
This is the desired distance.
Answer:
It will always be true
Step-by-step explanation:
Answer:the answer is The container on the left is made of 2 centimeters squared more plastic.
Step-by-step explanation:
i took the test
It states that the chef makes 20.5 servings, and that each serving holds 3.275 ounces, so to find the total amount of sauce the chef made you would multiply the number of servings by the volume of each serving, which is 20.5*3.275= 67.1375
There are four decimal places in the product of 67.1375 total ounces of sauce.