Response:
Volume of the trapezoidal prism = 15x^2 cubic units
Detailed explanation:
First, let’s calculate the area of the trapezoidal bases.
The lengths of the parallel sides are x and 2x, averaging to 1.5x.
The height stands at x
Consequently, area of the trapezoidal base comes out to be 1.5x * x = 1.5x^2
The volume of this prism is computed as area of the base multiplied by height
(the length is not a factor, but height certainly is)
Thus, 1.5x^2 * 10 yields 15x^2
Answer:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
y = 2 x + 7
Step-by-step explanation:
Let x denote the smaller number and y denote the larger number.
Part 1
The equation presented indicates that four times some number added to three times a larger number equals 31.
This translates to:
From here, solving for y yields:
- 4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3
⇒ y= - 4/3x + 31/3
This indicates the correct response for this scenario:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
Part 2
The statement that seven subtracted from the larger number equals twice the smaller number translates to:
y-7= 2x
Further, solving for y yields:y-7= 2x ⇒
y= 2x+ 7
The correct answer for this equation is:
y = 2 x + 7
The work is illustrated and shown.
B. every member of the boys' basketball team, as basketball players are typically taller, resulting in larger feet which do not accurately reflect the average shoe size of the male students.
