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.
I don’t know the answer for a and b. I’m really sorry.
C) 24 more
D) 18 more hours
Answer:
The probabilty that the arrow will land on a section labeled with a number greater than 3 would be 3/5
Step-by-step explanation:
Formula
P = (the number of possible outcomes) ÷ ( the number of total result)
The total number of the result = 8
The spinner shown is divided into 8 equal sections. What is the probability that the arrow will land on a section labeled with a number greater than 3
Therefore the answer is 3/5
If the answer is wrong it must be a different question
Edg : )
Answer:
If all three digits need to be the same (I assume that's what aaa means) it's 333
Step-by-step explanation:
For a number XYZ to be divisible by 9, X+Y+Z must be divisible by 9. Here's why:
X*100 + Y * 10 + Z = X + Y + Z + 99*X + 9*Y = X + Y + Z + 9(11X + Y)
So we need to find the smallest a so that a+a+a = 3a is divisible by 9. The smallest would be 0, but 000 is not a real 3-digit number. The next one is 3.
Answer:
6 and 3/5
Step-by-step explanation:
