Answer:
= - 1.5n - 6
Step-by-step explanation:
Given that the sequence is arithmetic with n th term ( explicit formula
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 7.5 and d = - 9 - (- 7.5) = - 9 + 7.5 = - 1.5
= - 7.5 - 1.5(n - 1) = - 7.5 - 1.5n + 1.5 = - 1.5n - 6
Step-by-step explanation:
The correct expression is (a) n = 100; (x + 10)^2
<h3>How to determine the value of n?</h3>
The expression is given as:
x^2 + 20x + n
Take the coefficient of x
k = 20
Divide by 2
k/2= 10
Square both sides
(k/2)^2 = 100
The above value represents the value of n
i.e.
n = 100
So, we have:
x^2 + 20x + 100
Expand
x^2 + 10x + 10x + 100
Factorize
x(x + 10) + 10(x + 10)
Factor out x + 10
(x + 10)^2
Hence, the correct expression is (a) n = 100; (x + 10)^2
Read more about trinomial at:
brainly.com/question/1538726
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Answer:
I believe it's 4,080
Step-by-step explanation:
you just add the two numbers
Answer:
3x -7y = 0
Step-by-step explanation:
Parallel lines have the same slope.
Changing the constant in a linear equation like this only changes the y-intercept. It has no effect on the slope of the line. So, we can change the constant from 4 to 0 and we will have a line with the same slope, parallel to the original, but with a different y-intercept.
The "standard form" of the equation of a line has the leading coefficient positive. We can make that be the case by using the multiplication property of equality, multiplying both sides of the equation by -1.
Parallel line:
-3x +7y = 0
In standard form:
3x -7y = 0
Answer:
a
Step-by-step explanation:
