Answer:
The diver will be 8 feet from the end of the board when he hits the water.
Step-by-step explanation:
The diver hits the water when y = 0.
To find the distance, we have to find the values of x when y = 0.
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots 
such that 
, given by the following formulas:
In this problem, we have that:
So
Then
It is a horizontal distance, so the answer is a positive value.
The diver will be 8 feet from the end of the board when he hits the water.
Given:
The sum of two terms of GP is 6 and that of first four terms is 
To find:
The sum of first six terms.
Solution:
We have,
Sum of first n terms of a GP is
...(i)
Putting n=2, we get
...(ii)
Putting n=4, we get
(Using (ii))
Divide both sides by 6.
Taking square root on both sides, we get
Case 1: If r is positive, then using (ii) we get
The sum of first 6 terms is
Case 2: If r is negative, then using (ii) we get
The sum of first 6 terms is
Therefore, the sum of the first six terms is 7.875.
Check the picture below.
that's the line of x = 12, just a straight vertical line, notice the green line, that's parallel to it, and the red line, that's perpendicular to it.
let's pick two points for each to get their slopes, hmm say for the green one (5,2) and (5,4)
and for the red one hmmm (3,2) and (7,2)
Answer:
Domain: (-2 , 3]
Range: [-3, 2)
Step-by-step explanation:
Domain is all the x's on the graph. (If you have an equation, then it's all the numbers that are allowed to be x)
Range is all the y's on the graph (or if you have an equation, all the possible y outcomes)
Open dot endpoint means that point is not included in the set (domain and range are sets of numbers) Closed dot means the point is included.
You didn't get this math question right. But look for all the x's for the domain, and all the y's for the range.
They are the same because both triangles have the same every to the other triangle.
