Step-by-step explanation:
y = -2x² + 4x + 1
Complete the square.
y = -2 (x² − 2x) + 1
y = -2 (x² − 2x + 1) + 1 − (-2)(1)
y = -2 (x − 1)² + 3
The vertex is (1, 3). The leading coefficient is negative, so the vertex is a maximum.
Graph: desmos.com/calculator/qsih3rd8ev
Unfortunately, there is no given table. However, assuming no air resistance, the projectile moves in constant acceleration in the y-axis, while constant velocity in the x-axis. If the total time of flight is 6 seconds, then at 3 seconds the reaches its maximum height. Also, there is no given initial velocity, which means any useful calculation is impossible.
Answer:
Emily gets 35 marbles and Asif gets 7 marbles.
Step-by-step explanation:
let 5x and x be marbles Emily and Asif get.
5x + x = 42
or, 6x = 42
or, x= 7
5x = 5×7=35
x =7
Answer:
Step-by-step explanation:
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
Answer:
b=d
x=
bStep-by-step explanation:
