A quadratic equation is an equation whose leading coefficient is of second degree. The time can not be negative, therefore, the time in which the athlete complete the jump is 0.75 seconds.
<h3>What is a quadratic equation?</h3>
A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The jump is represented by the equation h(x)= -16x²+4x+6. The time is represented by x, now the height of the athlete will be zero when the jump will be completed therefore, we can write,
0 = - 16x² + 4x + 6
0 = - 16x² + 12x - 8x + 6
0 = -4x(4x-3) -2(4x-3)
0 = (-4x-2)(4x-3)
x = -0.50, 0.75
Since the time can not be negative, therefore, the time in which the athlete complete the jump is 0.75 seconds.
Learn more about Quadratic Equations:
brainly.com/question/2263981
#SPJ1
2. First you need to know about the pythagorean theorem which is
a^2 + b^2 = c^2. Look at the first picture below for more reference.
Next you use the pythagorean theorem to find out the right triangle sides to then know the length and width of the rectangle.
a = 8
b = unknown
c = 10
Now use algebraic steps. 8^2 + b^2 = 10^2 --) 64 + b^2 = 100 --) b^2 = 36 --)
b = 6 .
Finally you know the length which is 8 + 8 = 16 and the width which is 6, so the area of the rectangle is 16 x 6 = 96. And to look apporpriate 96in.^2 .
Answer: Hold on
Step-by-step explanation: LEt me see this is tricky
Answer:
3 is your answer im pretty sure:)))
Step-by-step explanation:
The angle between a diagonal of a cube and an adjacent edge is 54.75°;
Assuming the length of a side of the cube as 1 unit, the three sides are given by the vectors;
a = (1, 0, 0)
b = (0, 1, 0)
c = (0, 0, 1)
The diagonal is given by the vector, v = (1, 1, 1)
The angle between the diagonal and one edge of the cube is given by
cos θ = v. a / |v|.|a|
v. a = (1, 1, 1).(1, 0, 0)
= 1(1) + 1(0) + 1(0
= 1 + 0 + 0
v. a = 1
Magnitude of vector V = √[(1)² + (1)² + (1)²]
|v| = √3
Similarly, |a| = √1;
So, |v|.|a| = √3.√1 = √3
Now, cos θ = 1/√3
So, θ = cos¹(1/√3)
θ = 54.75°
Therefore, the required angle is 54.75°.
To learn more about this; visit: brainly.com/question/1423361
#SPJ4
