Answer:
multiplying by 100 "shifts" decimal point to the right by 2
90
1379
2989.4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Required
Find 
To find , we simply substitute 10 for d and -4 for c in the given expression.
The step is as follows:
Substitute
The expression cannot be solved any further; so, we can conclude that when d = 10 and c = -4,
Given:
The equation of the hyperbola is:
To find:
The the equation which is not an asymptote of the hyperbola.
Solution:
We have,
It can be written as:
Equating denominator and 0, we get
So, the vertical asymptotic is .
The degree of numerator is 0 and the degree of denominator is 1.
Since the degree of numerator is greater that the degree of denominator, therefore the horizontal asymptote is 
and there is no oblique asymptote.
Therefore, 
is not an asymptote of the given hyperbola and the correct option is C.
A scaled triangle because they are all different lengths
The height of the building is 3.27 m
Since the question described free-fall under gravity, we will be using the equation for fall under gravity.
Using v² = u² - 2gh where u = initial velocity of toy = 0 m/s (since it is falls from rest), v = final velocity of toy as it hits the ground = 8 m/s, g = acceleration due to gravity = 9.8 m/s² and h = distance the ball falls = height of building
So, making h subject of the formula, we have
h = -(v² - u²)/2g
Substituting the values of the variables into the equation, we have
h = -(v² - u²)/2g
h = -[(8 m/s)² - (0 m/s)²)/(2 × 9.8 m/s²)
h = -(64 m²/s² - 0 m²/s²)/(2 × 9.8 m/s²)
h = -64 m²/s²/19.6 m/s²
h = -3.265 m
h ≅ -3.27 m
The value is negative since we take the top of the building as 0 m and downward direction as negative.
So, the height of the building is 3.27 m
Learn more about free fall here:
brainly.com/question/23180622
