Answer:
80 + 18i
Step-by-step explanation:
i² = -1
x = i + 9
x² = (i + 9)²
Applying; (a + b)² = a² + 2ab + b² concept,
x² = i² + 18i + 81
We know that i² = -1
So x² = -1 + 18i + 81
x² = 81 - 1 + 18i = 80 + 18i
Answer:
Step-by-step explanation:
hello,
so we know y in terms of t and x in terms of t and we need to find y in terms of x

and then

hope this helps
Step-by-step explanation:

This is your answer
Answer:
208 ⅓ ft²
Step-by-step explanation:
1⅞ = 15/8 inches ÷ 12
= 5/32 feet on map
Actual = 5/32 × 80
= 25/2 feet
2½ = 5/2 inches ÷ 12
= 5/24 feet on map
Actual = 5/24 × 80 = 50/3
Actual area:
25/2 × 50/3
= 625/3 ft²
= 208 ⅓ ft²
Answer:
(a) 0
(b) f(x) = g(x)
(c) See below.
Step-by-step explanation:
Given rational function:

<u>Part (a)</u>
Factor the <u>numerator</u> and <u>denominator</u> of the given rational function:

Substitute x = -1 to find the limit:

Therefore:

<u>Part (b)</u>
From part (a), we can see that the simplified function f(x) is the same as the given function g(x). Therefore, f(x) = g(x).
<u>Part (c)</u>
As x = 1 is approached from the right side of 1, the numerator of the function is positive and approaches 2 whilst the denominator of the function is positive and gets smaller and smaller (approaching zero). Therefore, the quotient approaches infinity.
