The standard form of a line: .
The point-slope form:
We have the point (3, -1) and the slope m = -1. Substitute:
<em>add x to both sides</em>
<em>subtract 1 from both sides</em>
What is the area of this figure?
2 answers:
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Answer:
Option B is correct.
The expression which is equivalent to is;
Explanation:
Given the equation: for all values of n.
The quadratic equation in this form;
First find two numbers that multiply to give ac and add to give b.
From the given equation;
a =1 , b = 26 and c =88
then,
the two number that multiply to give ac =88 is, 22 or 4
and they add up to give b=26 (i.e 22+4)
Now, rewrite the middle term i.e 26n with 22n and 4n , we have
Now, factor the first two terms and last two terms,
we see that is common to both terms so, we have;
Therefore, the expression is equivalent to
Check:
(n+4)(n+22) = =
[ True]
Answer:
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (6, - 2)
d =
=
=
= ← exact distance
Given:
Annual interest rate = r%
Growth factor : x = 1 + r
The below function gives the amount in the account after 4 years when the growth factor is x .
To find:
The total amount in the account if the interest rate for the account is 3% each year and initial amount.
Solution:
Rate of interest = 3% = 0.03
Growth factor : x = 1 + 0.03 = 1.03
We have,
Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.
Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.
For initial amount the rate of interest is 0.
Growth factor : x = 1 + 0 = 1
Substitute x=0 in the given function to find the initial amount.
Therefore, 2250 was put into the account at the beginning.