rs + st = rt Plug in the values
3x + 1 + 2x - 2 = 64 Combine like terms (1 and -2)
3x -1 + 2x = 64 Combine like terms (3x and 2x)
-1 + 5x = 64 Add 1 to both sides
5x = 65 Divide both sides by 5
x = 13
(0,5) (-3, -1) (1, 7) (2, 9) (-5, -5)
Answer:
C) 3.0
Step-by-step explanation:
Let the length of the other side be x.
Using Pythagoras theorem for right-angled triangle,
4.2^2=2.9^2+x^2
or,x^2=4.2^2-2.9^2
or,x^2=9.23
or,x=√9.23=3.0 units
Answer:
A) is a function
B) f(x) is greater
C) x = 12
Step-by-step explanation:
A) Yes, the relation is a function.
A function has a unique input value for each output value. There are no repeated x-values, so this relation is a function.
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B) The table says y=6 for x=6.
f(6) = 2(6)+16 = 28
f(x) has a greater value for x=6.
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C) Substituting the given information, we have ...
40 = 2x +16
24 = 2x
12 = x
The value of x is 12 when f(x) is 40.
The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series
The sigma notation of the series is: 
<h3>How to write the series in sigma notation?</h3>
The series is given as:
7 + 16 + 25 +34 +43 +52 + 61
The above series is an arithmetic series, with the following parameters
- First term, a = 7
- Common difference, d = 9
- Number of terms, n = 7
Start by calculating the nth term using:
a(n) = a + (n - 1) * d
This gives
a(n) = 7 + (n - 1) * 9
Evaluate the product
a(n) = 7 - 9 + 9n
Evaluate the difference
a(n) = 9n - 2
So, the sigma notation is:
Read more about arithmetic series at:
brainly.com/question/6561461
