With multiple choice questions, I find it best to plug in on this one.
For a) x=2 and y=1 so, plug it into the equation.
1) -2(2) + 5(1) = 8 and than you check the other one
2) 2(2) + 2(1) = 6 if it works in both than that is your answer. If not than you try another choice until you get one that works in both equations.
Answer:
9 and 40
21 and 40
Step-by-step explanation:
I just did the test on edg. 2020
Factors of 9:
1,3,9
Factors of 15:
1,3,5,15
Factors of 21:
1,3,7,21
Factors of 40:
1,2,4,5,8,10,20,40
We have to find the pairs of numbers which are relatively prime.
Relatively prime number: The numbers in which gcd 1 are called relative prime numbers.
a.9 and 15
GCD(9,15)=3
9 and 15 are not relatively prime.
b.9 and 40
GCD(9,40)=1
Hence, 9 and 40 are relatively prime.
c.9 and 21
GCD(9,21)=3
9 and 21 are not relatively prime.
d.15 and 21
GCD(15,21)=3
15 and 21 are not relatively prime.
e.21 and 40
GCD(21,40)=1
21 and 40 are relatively prime.
we are given
radius=r=12m
height=h=9m
now, we can use formula of volume of cylinder
now, we can plug values
and we get
we get
so, the exact volume of the cylinder is 
..........Answer
Points (1, 7) and (-3, 2)
Slope for a line between (x₁, y₁) and (x₂, y₂) , m = (y₂ -y₁) / (x₂- x₁)
The slope for the line joining the two points = (2 - 7) / (-3 - 1) = -5/-4
Slope = 5/4
Hence the perpendicular bisector would have a slope of -1/(5/4) = -4/5
By condition of perpendicularity
For points (1, 7) and (-3, 2),
Formula for midpoints for (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁+ y₂)/2)
Midpoint for (1, 7) and (-3, 2) = ((1+ -3)/2 , (7+2)/2) = (-2/2, 9/2)
= (-1, 9/2)
Since the slope of perpendicular bisector is -4/5 and passes through the midpoint (-1, 9/2)
Equation y - y₁ = m (x - x₁)
y - 9/2 = (-4/5) (x - -1)
y - 9/2 = (-4/5)(x + 1)
5(y - 9/2) = -4(x + 1)
5y - 45/2 = -4x - 4
5y = -4x - 4 + 45/2
5y + 4x = 45/2 - 4
5y + 4x = 22 1/2 - 4 = 18 1/2
5y + 4x = 37/2
10y + 8x = 37
The equation of the line to perpendicular bisector is 10y + 8x = 37
