The best and most correct answer among the choices provided by your question is the fourth choice or letter D.
Octahedron (8) is a <span>polyhedron has more faces than a hexahedron, but fewer faces than an dodecahedron.</span>
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Answer: t= 4 seconds
Maximum height = 256 feet
Step-by-step explanation:
The height of the object projected upwards after t seconds is given by
s(t)=-16t^2+128t.
The expression is a quadratic equation. When this equation is plotted on a graph, height against time, it takes the shape of a parabola whose vertex represents the maximum height attained by the object.
To get the value of t at the maximum height,
t = -b/2a
From the equation,
a = -16
b = 128
t = -128/-2×-16
= -128 /- 32= 4
it will take 4 seconds to reach its maximum height
To find maximum height attained, put t= 4 in the equation
s(t)=-16t^2+128t
S = -16× 4^2 + 128×4
S = -256+512
S = 256 feet
Answer:
C is correct if I'm doing the math right. best of luck!!
Answer:
x = 2, y = 6
(2, 6)
Step-by-step explanation:
The system of equations is solved when we find the "x" and "y" pair that is true for both equations.
We can use elimination, which is when we eliminate one of the variables. This can be done when both equations have a variable that has the same number.
Make both equations have "12y". Multiply each term by the same number.
-7x + 4y =10 }x3 => -21x + 12y = 30
-5x + 3y = 8 }x4 => -20x + 12y = 32
Subtract the equations from each other to get rid of 12y.
. -20x + 12y = 32
<u>- -21x + 12y = 30</u>
. 1x + 0y = 2 0y is nothing and 1x is x.
. x = 2 We have solved for x.
Now solve for y.
Use one of the equations:
-5x + 3y = 8 Substitute x for 2
-5(2) + 3y = 8 Simplify
-10 + 3y = 8 Start isolating x. Add 10 to both sides
3y = 18 Divide both sides by 3
y = 6 Solved for y.
The system of equations intersect at (2, 6).
