Answer:
u-shaped; y-intercept (0,6); symmetrical with respect to the y-axis
Step-by-step explanation:
Given that y = 2x² + 6
The graph would be the shape of that of a parabola. It can be u shaped or n shaped depending on the value of the coefficient of a comparing with the standard equation y = ax² + bx + c. If a > 0, it is u shape and if a < 0, it is n shape.
For this question, since a > 0 it would be u shaped and the intercept can be gotten by putting x = 0.
Therefore y = 0² + 6 = 0
The intercept is at (0,6) and is symmetrical with respect to the y-axis
Answer:
V=π r^2 h/3
d=2 3/8 inches
convert to radius d=2r
d=2.375 (value of 2 3/8 inches in decimal)
2.375 divide by 2
r=1.1875 inches
V=π r^2 h/3
V=3.14 x 1.1875^2 x 6/3
Volume will be 8.85.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Midpoint of a segment with the given endpoints and is defined by,
In this question endpoints of the segment are,
and
Coordinates of the midpoint will be,
=
Therefore, coordinates of the midpoint are .
Step-by-step explanation:
Answer:
V = x³ + 20x² + 124x + 240
Step-by-step explanation:
Volume of a rectangular prism is width times length times height.
V = wlh
Given w = x+4, l = x+10, and h = x + 6:
V = (x + 4)(x + 10)(x + 6)
V = (x + 4)(x² + 16x + 60)
V = x²(x + 4) + 16x(x + 4) + 60(x + 4)
V = x³ + 4x² + 16x² + 64x + 60x + 240
V = x³ + 20x² + 124x + 240