Answer:
5 units
Step-by-step explanation:
3x + 4y = 8
4y = -3x+8
y = -3/4+2
The shortest distance between a point and a line is the perpendicular line.
Slope of the perpendicular line: 4/3 and point (-3,-2)
b = -2-(4/3)(-3) = 2
Equation of the perpendicular line: y=4/3x+2
y is equal y
4/3x+2= -3/4x+2
4/3x +3/4x = 2-2
x = 0
Plug x=0 into one of the equations to find y
y = 4/3(0) + 2
y = 2
(0,2) and (-3,-2)
Distance = sqrt [(-3-0)^2 + (-2-2)^2]
Sqrt (-3)^2+ (-4)^2
Sqrt 25 = 5
Answer:
Number of students in district = 3,055 students
Step-by-step explanation:
Given:
Ratio [Teachers to students] = 2 : 47
Total number of teachers in district = 130
Find:
Number of students in district
Computation:
Number of students in district = Total number of teachers in district[47/2]
Number of students in district = 130[47/2]
Number of students in district = 65[47]
Number of students in district = 3,055 students
Number 1.) In game 1 he scored 180 points, In game 2 he scored 200 points this means the score went up , so now you have to add, ( Addition ).
180 + x = 200 | x=? , well 180 + 20 = 200.
Since there is 20 points added to 180 which gives us 200 there is an 11.11% increase .
__________________________________________________
Number 2.) , In the next game he scored 200 points , it asks what is the decreased number?
how many numbers did his score drop? 200 - 180 = 20 |
Now we must work backwards , There is a loss in points , ( 20 ) , so there is an 10% decrease.
(200-180) / 180 * 100% = 10%
20 / 200 * 100% = 10%
20 = The Answer with an 11.11% increase , there is a 10% decrease.
I hope this helps you a lot
The answer would be 6(7+1)
Answer:
Step-by-step explanation:
So we have the following chain of transformations
So now
