Answer:
Please check the explanation.
Step-by-step explanation:
The midpoint (a, b) of line joining points (x₁, y₁) and (x₂, y₂)
a = x₁ + x₂ / 2
b = y₁ + y₂ / 2
Given that the midpoint of AB is (4, -3).
i.e. (a, b) = (4, -3)
Given that A has coordinate (1, 5).
i.e. (x₁, y₁) = (1, 5)
We have to determine the coordinates of B.
i.e. (x₂, y₂) = B
Thus,
4 = (1 + x₂)/2
(1 + x₂) = 4 × 2
1 + x₂ = 8
x₂ = 7
and
-3 = (5 + y₂)/2
(5 + y₂) = -3 × 2
5 + y₂ = -6
y₂ = -11
so (x₂, y₂) = (7, -3) = B
Thus, the coordinates of B = (x₂, y₂) = (7, -3)
Therefore,
x₂ + y₂ = 7 + (-3)
= 7 - 3
= 4
Hence, the value of x₂ + y₂ = 4
Answer:
C and D
Step-by-step explanation:
C: (2,0)
D: (0,4)
Answer:
Step-by-step explanation:
Velocity has both magnitude and direction.
The magnitude is the speed.
Answer:
x=250y+86
Step-by-step explanation:
add 250 to both sides
x−250y+250y=86+250y
x=250y+86
Answer:
The domain of the function is the set of all real numbers; the range of the function is the set of all nonnegative real numbers; the graph has an intercept at (0, 0); and the graph is symmetric with respect to the y-axis.
Step-by-step explanation:
This is not a square root function, this is a quadratic function, which has an x².
The domain, or set of x-values, is all real numbers. This is because all numbers work for x.
The range, or set of y-values, is the set of all nonnegative real numbers. This is because all numbers we get for y are positive real numbers.
The graph intersect both the x- and y-axis (x-intercept and y-intercept) at (0, 0).
The graph is decreasing on the interval x<0 and increasing on the interval x>0, not the other way around.
The graph has a minimum at (0, 0), not a maximum.
The graph can be folded in half along the y-axis, so it is symmetric with respect to the y-axis.
