The co-ordinate points of B is (3,1)
A midpoint in a given line segment divides the line segment in two equal parts.
In the given question
AB is a line segment.
Point A has co-ordinates (-1,5) and midpoint M has co-ordinates (1,3).
Assuming point B has co-ordinates (x,y)
We know midpoint formula is give by
M of x = (x₁ + x₂)/2 and M of y = (y₁ + y₂)/2
∴ 1 = (-1 + x₂)/2
2 = - 1 +x₂
x₂ = 3
And
3 = ( 5 + y₂)/2
6 = 5 + y₂
y₂ = 1
So the co-ordinate points of B(x₂,y₂) = (3,1)
Learn more about midpoints here :
#SPJ2
Answer:
(3,1)
Step-by-step explanation:
let B be (x,y)
m(1,3)=midpoint
A(-1,5)=(x1,y1)
B(x,y)=(x2,y2)
(1,3)= x1+x2/2 y1+y2/2
(1,3)= -1+x/2 5+y/2
so,
-1+x/2=1 5+y/2=3
-1+x=2 5+y=6
x=3 y=1
therefore the co ordinates of B(x,y) are (3,1)
The solution to the quadratic equation is y = -2.18 and y = -0.22
The equation is given as:
(5y + 6)^2 = 24
Expand
25y^2 + 60y + 36 = 24
Subtract 24 from both sides
25y^2 + 60y + 12 = 0
Using a graphical tool, we have the solution to be:
y = -2.18 and y = -0.22
Hence, the solution to the quadratic equation is y = -2.18 and y = -0.22
Read more about quadratic equation at:
#SPJ5
(7q - 5)(7q + 5)
Step-by-step explanation:
1 and 2023 yes as standard.
2 no (not an even number).
3 no (sum of the digits is 7 and not divisible by 3).
4 no (not an even number)
5 no (2023 dies not end with 5 or 0)
6 no (not an even number)
7 yes. and therefore also 2023/7 = 289
7 has no other factors, so 289 is the remaining part with potentially other prime factors.
289 = 17², so 17 is another factor.
but 17 is again a prime number and has no other factors.
2023 = 7×17×17
and so, 7×17 = 119 is also a factor of 2023.
so, we have as factors :
1, 7, 17, 119, 289, 2023
that means 6 factorsin2023.