(a) equation in function notation:
h(t) = 29.4t - 4.9t²
(b) The degree of the function is 2 and this is quadratic
(c) what time will the ball in its highest position?
h = 29.4t - 4.9t²
differentiate both sides and equate to zero
d(h) = 29.4 - 9.8t = 0 ; t = 3
(d) what time will it hit the ground,
h = 29.4t - 4.9t² = 0; t = 6 and t = 0
Thus, the answer is t = 6.
Answer:
68 square cm
Step-by-step explanation:
Interior square WXYZ is making four right triangles of equal bases (8 cm) and heights (2 cm) inside the square ABCD. Therefore,
Area of shaded Square = Area of square ABCD - 4 times area of one right triangle.
We conclude that the solution to the linear equation is x = 1/24.
<h3>
How to find the number?</h3>
Let's define x as the number.
Now we want to write:
"the sum of 2/3 and for times a number...."
That can be written with the equation:
2/3 + 4*x
And we also know that:
"the sum of 2/3 and for times a number is equal to 5/6"
Then we can complete the linear equation:
2/3 + 4*x = 5/6
Now we need to solve it for x:
2/3 + 4x = 5/6
4x = 5/6 - 2/3
4x = 5/6 - 4/6
4x = 1/6
x = (1/4)*(1/6) = 1/24
x = 1/24
We conclude that the solution to the linear equation is x = 1/24.
If you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:
I will attach the missing drawing with the answer.
9.b)
Plane JKM
Plane JLM
Plane KLM
Step-by-step explanation:
The drawing for this question is missing. I will attach it with the answer.
9.a) Plane JKL is not an appropriate name for the plane because all of three points lie in the same line.
Through a line pass infinite planes. The plane JKL doesn't define a unique plane. That's why plane JKL isn't an appropriate name for the plane.
9.b) We can name the plane using three points that don't lie in the same line.
Three possible names for the plane are :
Plane JKM
Plane JLM
Plane KLM
We look up the cosine of 58 degrees which is
0.52992
Now we look up the arc sine of 0.52992
which equals 32 degrees
answer is a) 32 degrees