It has an infinite amount of solutions.
Explanation:
d-3 = -3+d which can be arranged as: d-3=d-3
Since they are equal to each other, no matter what number you input, your solution will be the same which means that there are an infinite amount of solutions. Let’s put this to the test and put in 5 for d. 5-3=5-3 is 2=2. They are equal to each other which means: infinite solution.
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The volume of the given trapezoidal prism is 312 cubic units.
Step-by-step explanation:
Step 1:
To find the volume of a trapezoidal prism, we multiply the area of the trapezoidal surface with the height of the prism.
The area of a trapezoidal surface, 
a and b are the lengths of the upper and lower bases and h is the height of the trapezoid.
For the given trapezoid, a is 5 units long and b is 8 units long while height, h is 4 units.
The area of the trapezoidal surface, 
So the area of the trapezoidal surface is 26 square units.
Step 2:
To determine the volume of the prism, we multiply the area of the trapezoidal surface with the height of the prism.
The area is 26 square units and the height of the prism is 12 units.
The volume of the prism, 
The volume of the given trapezoidal prism is 312 cubic units.
a) Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations
b) since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equation
In order to show if the given point corresponds to the given function, we will have to substitute the value of x into the function to see if we will have its corresponding y-value
For the point (-0.8, -0.6), substitute x = -0.8 into both functions as shown:
f(x) = 2x + 1
f(-0.8) = 2(-0.8) + 1
f(-0.8) = -1.6 + 1
f(-0.8) = -0.6
Simiarly;
y = -3(-0.8)- 3
y = 2.4 - 3
y = -0.6
Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations
For the point (1/3, 2), substitute x = 1/3 into both functions as shown:
x = (y+2)/2
x = (2+2)/2
x = 4/2
x = 2
Simiarly;
x + 2 = 3
x = 3-2
x = 1
Since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equations
Learn more on systems of equation here: brainly.com/question/847634
