Using the quadratic equation h = -16t² + 264 which represents the object's height after time, we find that it will take 4 seconds for the object to reach 8 feet above the valley floor.
In this case, you're asked to find out how much time it takes for an object dropped from an observation deck to drop to a point 8 feet above the valley floor. The height h, in feet, after time t, in seconds, is represented by the quadratic equation h = -16t² + 264. Set the equation equal to desired height, which is 8 feet in this case. So, you have -16t² + 264 = 8. Rearranging, you get -16t² = 8 - 264, or -16t² = -256. Divide by -16 yields, t² = 16. The principal square root of 16 is t = 4.
Therefore, it will take 4 seconds for the object to be 8 feet above the valley floor.
#SPJ3
Answer: f(-9)= 243
Step-by-step explanation:
f(x) = 4x²+7x -18
f(-9) = 4(-9)²+7(-9)-18
= 4(81) -63-18
= 324- 81
= 243
B. (7, 15, 17)
C. (9, 12, 16)
D. (7, 24, 25)
The set of side lengths (7, 15, 17) represents a right angled triangle
For the given set of side lengths to represent a right angled triangle, the
Pythagoras relation should be satisfied by the side lengths of the triangle.
We can write the given relation as -
h² = b² + p²
Consider the side length pairs as -
(7, 15, 17)
We can arrange the sides as -
17² = 15² + 7²
289 = 225 + 49
289 = 289
The set of side lengths (7, 15, 17) represents a right angled triangle.
To solve more questions on triangles, visit the link-
#SPJ2
Answer:
Step-by-step explanation:
B
Domain is the first value or xs
[-4, -2, 8]
Answer:
do it yourself
Step-by-step explanation:
Answer:
is a
Step-by-step explanation: