Answer:
(2.4, -1)
Step-by-step explanation:
To find the midpoints of two points in the format (x,y), we find the mean for the values of x and y.
In this question:
(3.2, 2.5) and (1.6, -4.5)
Mean for the values of x:
(3.2 + 1.6)/2 = 2.4
Mean for the values of y:
(2.5 - 4.5)/2 = -1
Midpoint:
(2.4, -1)
Answer:
Step-by-step explanation:
It is given that A rectangular prism has a length of 
yards a width of 
yards, and a height of 4 yards.
Now, the volume of the prism is given as:
Therefore, the volume of the rectangular prism will be .
That would be the point (3, -1)
not enough information sorry
Part A: Explain why the x-coordinates of the points where the graphs of
the equations y = 4-x and y = 2x + 3 intersect are the solutions of the
equation
4-x = 2x + 3.
Because the point where the graphs intersect is a point that meets both rules (functions) y = 4 - x and y = 2x + 3 meaning that y from y = 4 - x equals y from 2x + 3 and also both x have the same value.
Part B: Make tables to find the solution to 4-x = 2x + 3. Take the integer values of x between -3 and 3.
x values 4 -x 2x + 3
-3 4-(-3)=7 2(-3)+3 =-3
-2 4-(-2)=6 2(-2)+3 =-1
-1 4-(-1)=5 2(-1)+3 = 1
0 4-0=4 2(0)+3 = 3
1 4-1=3 2(1)+3=5
2 4-2=2 2(2)+3 = 7
3 4-3=1 2(3)+3 = 9
The the solution is between x = 0 and x =1
Part C: How can you solve the equation 4-x = 2x + 3 graphically?
Draw in a same graph both functions y= 4 - x and y = 2x +3.
Then read the x-coordinates of the intersection point. That is the solution.
