Answer:
<em>-26</em>
Step-by-step explanation:
Given the sequence:
16, 9, 2, –5, ...,
To find:
7th measurement, if the above sequence continues:
Solution:
Let us examine the given sequence first:
First term is 16
Second term = 9
Third term = 2
Fourth term = -5
Difference between 2nd and 1st term = 9 - 16 = -7
Difference between 3rd and 2nd term = 2 - 9 = -7
Difference between 4th and 3rd term = -5 - 2 = -7
We can see that there is a common difference of -7 between each term.
That means, the sequence is in Arithmetic Progression.
whose first term, 
Common difference, 
To find:
7th term i.e. 
Solution:
Formula for 
term of an Arithmetic Progression is given as:
Let us put 
7th measurement will be <em>-26.</em>
Answer:
Step-by-step explanation:
Let the length of the shorter piece be x
Then the longer piece is x + 7
- x + x + 7 = 45
- 2x = 45 - 7
- 2x = 38
- x = 19
Short piece = 19 in
Long piece = 26 in
Answer:
x = 3 - t and y = 4 - 2t
Step-by-step explanation:
We have to find such a set of parametric equations for the given equation which result in an x-value equal to 3 and a y-value equal to 4 when t is substituted as 0.
There can be more than 1 possible answers to this problem. You have to use hit and trial method to come up with the correct set of parametric equations. One of the possible set is:
y = 4 - 2t , x = 3 - t
For t = 0
x= 3 and y = 4
Hence, the condition is satisfied.
Now checking if these parametric equations result in given equation or not.
From second equation, we get:
t = 3 - x
Using this value in first equation, we get:
y = 4 - 2(3 - x)
y = 4 - 6 + 2x
y = 2x - 2
Which is the given equation.
Hence the set of parametric equation is:
x = 3 - t and y = 4 - 2t
Answer:
-2(3) + 4x -4 =-14
-6 + 4x -4=-14
4x = -14 + 6 + 4
4x = -4
x=-1
To verify this...Input -1 into the original equation... You'd get -14
Answer:
Step-by-step explanation:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
Exact Form:x=6±√17
Decimal Form:x=10.12310562…,1.87689437…
