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.
24/30
24/6 = 4
30/6 = 5
4/5
Answer: 4/5
Answer:
70
Step-by-step explanation:
another angle is 150 - 130 degree
so look at the triangle
we know x + 90 + 20 = 180 degree
so x = 70 degree
U will use the pemdas method which is if u check parentheses, exponents, multiplication, division, addition, subtraction. for ex. say the expression is 5 + 30+ (5x10) u will check if u have any p, e, m, d, a, or s and do those steps in order. sometimes u will read left to right if it’s a divison first and then a multiplication
The correct answer is C) 456 fl oz
There are 4 quarts in 1 gallon. This means that 3 gallons = 3*4 = 12 quarts.
Adding this to the 2 quarts in the problem, we have 12+2=14 quarts.
There are 2 pints in every quart. This means that 14 quarts = 14*2 = 28 pints.
There are 2 cups in every pint. This means that 28 pints = 28*2 = 56 cups.
Adding this to the 1 cup in the problem, we have 56+1=57 cups.
Each cup is 8 fl oz; this gives us 57*8 = 456 fl oz.