1st :The angle of depression 30° = the angle of elevation (from the truck to the height of the building.
2nd :
cos 30° = (adjacent side)/(hypotenuse)
cos 30° = x/100, but cos 30°= (√3)/2
(√3)/2 = x/100 and x = (100√3)/2
and x = (50.√3) = 86.60 m
Answer:
B
Step-by-step explanation:
From any point (x, y) on the parabola the focus and directrix are equidistant.
Using the distance formula
= | y - 6 |
Squaring both sides
(x + 2)² + (y - 4)² = (y - 6)² ← distributing
x² + 4x + 4 + y² - 8y + 16 = y² - 12y + 36 ( subtract y² - 12y + 36 from both sides )
x² + 4x + 4 + 4y - 20 = 0 ( subtract x² + 4x + 4 from both sides )
4y - 20 = - x² - 4x - 4 ( add 20 to both sides )
4y = - x² - 4x + 16 ( divide through by 4 )
y = - 
x² - x + 4, that is
f(x) = - x² - x + 4 → B
Answer:
We use Newton's second law of motion, which states that,
F
=
m
a
where:
F
is the net force applied in newtons
m
is the mass of the object in kilograms
a
is the acceleration of the object in meters per second squared
So, we get:
F
=
5
kg
⋅
10
m/s
2
=
50
N
(
∵
1
N
≡
1
kg m/s
2
)
Step-by-step explanation:
Answer: k < 3
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the k term which in this case is 5k by subtracting 3 from both sides. That leaves you with 5k < 15.
To get <em>k</em> by itself, divide both sides by 5 and <em>k < 3</em>.
The answer is D because if you look at the graph the order pairs are (3,3). I substitute h for 3 and substitute k for 3. That's why D is the answer.
