First find the slope of the reference line:
2x+4y=-6 subtract 2x from both sides
4y=-2x-6 divide both sides by 4
y=-2x/4-6/4
So the slope of the reference line is -2/4=-1/2
For two lines to be perpendicular, the product of their slopes is negative one. Or you could say that the slopes are negative reciprocals of one another, mathematically perpendicular lines slopes will satisfy:
m1*m2=-1, in this case we have:
-1m/2=-1
-1m=-2
m=2
So the perpendicular line in this case has a slope of 2. The slope intercept form of a line is:
y=mx+b and we found than m=2 so:
y=2x+b, and using the point (2,5) we can solve for b
5=2(2)+b
5=4+b
1=b so the perpendicular line passing through the point (2,5) is:
y=2x+1
2 digits number
x <100 because 2digit
x/10 ∈ { 1, 2, 3, 4, 5, 6, 7, 8, 9}
x/3 ∈ {1, 2, 3, 4, 5, 6, 7, 8, 9 }
max number divide by 10 is 90
max number divided by 3 is 99
because we know that numer is divided by 10 so our collections looks like:
{10, 20, 30, 40, 50, 60, 70, 80, 90}
we look from this collections only numbers witch will divided by 3:
30, 60, 90 = this is solutions
a) we need a natural number divided by 3 and 10 lower than 100
b) i need to use lenght of number and what numbers divides them
c) as above
d) baseball, 3 and 10, 3, 30,60,90
Answer:
The correct option is A.
Step-by-step explanation:
The difference between actual value and predicted value is called residual.
Formula of residual is
Where, y is observed value or actual value and 
is predicted value.
The value of residual is 1.4 and option A is correct.
Answer:
Solutions are (3,1) and (4,2)
Step-by-step explanation:
Graph is shown in the attached sheet
Given are two systems of equations and we have to solve them using graph
For graphing let us first prepare table for x and y.
1) 
I line II line
x 0 4.5 3 x 0 2.5 3
y 3 0 1 y -5 0 1
The two lines intersect at (3,1)
Hence solution is (3,1)
--------------------------------------------
2) 
I line II line
x 0 2 4 x 0 6 4
y 0 1 2 y 3 0 2
The two lines intersect at (4,2)
Hence solution is (4,2)
