Answer:
It is one-half the area of a rectangle with sides 2 units × 3 units.
Step-by-step explanation:
we have the coordinates of triangle ABC
A(4,5),B(5,2),C(3,2)
Plot the coordinates of triangle to better understand the problem
see the attached figure
step 1
Find the area of triangle ABC
The triangle ABC is an isosceles triangle `(AB=AC)
The area of triangle ABC is
we have
---> difference of the x-coordinates
---> difference of the y-coordinates
substitute
step 2
Find one-half the area of a rectangle with sides 2 units × 3 units
therefore
The area of triangle ABC is one-half the area of a rectangle with sides 2 units × 3 units
8x+6 <54
subtract 6 from each side
8x < 48
divide by 8
x<6
Choice A
Ordered pairs are (x,y). The plugin of (7, -39) works because -39 +4 equals -35. Dividing this by -5 equals 7 (x).
I multiply second equation by 2 which becomes -4x+ 6y=8 and for y I multiply second equation by 3 which becomes -6x+9y=12
Answer:
9
Step-by-step explanation:
The mean squared error (MSE)of a set of observations can be calculated using the formula :
(1/n)Σ(Actual values - predicted values)^2
Where n = number of observations
Steps :
Error values of each observation (difference between actual and predicted values) is squared.
Step 2:
The squared values are summed
Step 3:
The summation is the divided by the number of observations
The difference between the actual and predicted values is known as the ERROR.
(1/n)Σ(ERROR)^2
n = 3
Error = +3, +3, - 3
MSE = (1/3)Σ[(3)^2 + (3)^2 + (-3)^2]
MSE = (1/3) × [9 + 9 + 9]
MSE = (1/3) × 27
MSE = 9