9514 1404 393
Answer:
{5, 10, 15, 20}
Step-by-step explanation:
Multiples of 5 are of the form 5n, where n is an integer. The ones of interest will satisfy ...
0 < 5n < 23
0 < n < 4.6
That is, the multiples of 5 we want are for values of n that are 1 through 4. The set is ...
5 × {1, 2, 3, 4} = {5, 10, 15, 20}
Answer:
that is the solution to the question
Answer:
Step-by-step explanation:
You have to substitute the in for the in meaning the x=2 so it would b no solution
Recall that the general equation for a line is y=mx+b where m is the slope and b is the y-intercept.
First, let's find the slope by finding
(y2-y1)/(x2-x1):
(-8-0)/(-5-3)
-8/-8
1
Now we know the equation is y=1x+b, or y=x+b.
By plugging in one of the two points we know is on the line, we can solve for b.
0=3+b
b=-3
So the equation is:
y=x-3
We know that if two lines are Perpendicular then Product of Slopes of both of these Perpendicular lines should be Equal to -1
Given : Equation of 1st Perpendicular line is -x + 3y = 9
This can be written as :
3y = x + 9
y = x/3 + 3
Comparing with standard form : y = mx + c
we can notice that slope of 1st Perpendicular line = 1/3
Slope of 1st Line × Slope of 2nd line = -1
1/3 × Slope of 2nd line = -1
Slope of 2nd line = -3
We know that the form of line passing through point (x₀ , y₀) and having slope m is :
y - y₀ = m(x - x₀)
Here the 2nd Perpendicular line passes through the point (-3 , 2)
x₀ = -3 and y₀ = 2 and we found m = -3
⇒ y - 2 = -3(x + 3)
⇒ -3x - 9 = y - 2
⇒ -3x - y = 7
