Answer: 4 3/4
Step-by-step explanation:
3/8 +3/8 + 1/8 +1/2 +1/2 +1/2 +1/2 + 5/8 +5/8 +5/8=
3/8+3/8+1/8+2+5/8+5/8+5/8=
11/4 + 2=
2 · 4 /4 + 11/4=
2 · 4 + 11 / 4=
19/4 =
4 3/4
Answer:
-1, 1
13, 15
Step-by-step explanation:
x and x+2 are the integers
Roots of the quadratic equation are: -1 and 13.
So the integers pairs are: -1, 1 and 13, 15
Answer:
208.02 m
Explanation:
When the model rocket lands, y = 0; therefore, the equation becomes
Using the quadratic formula we solve for x.
Which simplifies to give
Hence, we have the solutions
since lengths cannot be negative, we choose x = 208.02 as our answer.
Hence, the model rocket lands 208.02 m from the starting point.
Step-by-step explanation:
f is a parabola that opens upward.
Answer:
x= 80°, y= 100°
Step-by-step explanation:
Please see the attached picture for the full solution.
Answer:
x = 80,
y = 80
Step-by-step explanation:
This is difficult to explain, so here are the theorems used
two lines parallel, with a transversal; alternate interior angles,
verticle angles theorem,
parts - whole postulate,
verticle angles theorem,
parts- whole postulate,
sum angles in a triangle,
supplementary angle, definition straight angle,
parts- whole postulate,
there are many other ways to reach the answer, I just whent this way.
Substitute x = 3 - 2 cos(θ) and dx = 2 sin(θ) dθ (where "sin" = "sen"). So we have
∫ sin(θ) / (3 - 2 cos(θ)) dθ = 1/2 ∫ 1/x dx
= 1/2 ln|x| + C
= 1/2 ln(3 - 2 cos(θ)) + C
(We can remove the absolute value because -1 ≤ cos(θ) ≤ 1, so 1 ≤ 3 - 2 cos(θ) ≤ 5, and |x| = x when x ≥ 0.)