Answer:

Step-by-step Explanation:
==>Given:
Dimensions of a rectangular prism are expressed as follow:
Volume (V) = 15x² + x + 2
Height (h) = x²
==>Required:
Expression of the Base area (B)
==>Solution:
Volume (V) = Base (B) × Height (h)
15x² + x + 2 = B × x²
Divide both sides by x²
![\frac{15x² + x + 2}{x²} = B[tex]Base (B) = /frac{15x² + 1 + 2}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B15x%C2%B2%20%2B%20x%20%2B%202%7D%7Bx%C2%B2%7D%20%3D%20B%3C%2Fp%3E%3Cp%3E%5Btex%5DBase%20%28B%29%20%3D%20%2Ffrac%7B15x%C2%B2%20%2B%201%20%2B%202%7D%7Bx%7D)
Answer:
shaded area = 601 mm²
Step-by-step explanation:
Area of rectangle = Length * Breadth
Area of first section = 12 * 16 = 192 mm²
Area of 2nd middle section = 8 * ( 16 - 10 ) = 48 mm²
Area of the bottom section = 19 * 19 = 361 mm²
Area of total therefore = 192 mm² + 48 mm² + 361 mm²
= 601 mm²
Answer:
3/8
Step-by-step explanation:
-3/2 can change to -12/8
7/4 can change to 14/8
1/8 stays the same
-12/8 + 14/8 = 2/8 + 1/8 = 3/8
Answer:
(21, 17 )
Step-by-step explanation:
Using the midpoint formula and equating to the coordinates of the midpoint.
Let endpoint 2 have coordinates (x, y ), then
0.5(x - 3) = 9 ( multiply both sides by 2 )
x - 3 = 18 ( add 3 to both sides )
x = 21
and
0.5(y - 5) = 6 ( multiply both sides by 2 )
y - 5 = 12 ( add 5 to both sides )
y = 17
endpoint 2 = (21, 17 )