The factoring the equation (a + 1)² - 4b² we get (a+1+2b)(a+1-2b).
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What is the factoring function of (a + 1)² - 4 b²?</h3>
Given: (a + 1)² - 4b²
Apply Perfect Square Formula, and we get
(a + b)² = a² + 2 a b + b²
(a + 1)² = a² + 2a1+1²
= a² + 2a1 + 1² - 4 b²
simplifying the equation, we get
a² + 2a1 + 1² = a² + 2a + 1
= a² + 2a + 1 - 4b²
Factor, a² + 2a + 1 = (a + 1)²
= (a + 1)² - 4 b²
Simplify 4 b² = (2 b)²
= (a + 1)² - (2b)²
Apply the Difference of Two Squares Formula, and we get
x² - y² = (x + y)(x - y)
(a + 1)² - (2b)² = ((a + 1) + 2b)((a + 1) - 2 b)
simplifying the equation, we get
= ((a + 1) + 2b)(a + 1) - 2 b)
= (a + 1 + 2b)(a + 1 - 2b)
Therefore, the correct answer is (a+1+2b)(a+1-2b).
To learn more about factoring refer to:
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Answer:
14 visits
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Signup rewards = 50 points
Each visit reward = 10.5
Total points needed = 190
Let, number of visits = x
So, we can calculate number of visits by using following formula,
50 + (10.5 × X) = 190
10.5X = 190 - 50
10.5X = 140
X = 140 ÷ 10.5
X = 13.33 or 14 visits.
Hence, she needs to make 14 visits in order to earn a free movie ticket.
Answer:
44.73 m
Step-by-step explanation:
Given that the angle of elevation of an unfinished tower from a point of 120m away from its base is 25 degrees.
Using trigonometry ratio, the height of the tower can be calculated by
Tan Ø = height / base
Tan 25 = height / 120
Make height the subject of formula
Height = 120 × tan 25
Height = 55.96 m
How much higher will the tower need to be raised so that its angle of elevation from the same point will be 40 degrees?
Using the same formula to calculate the new height.
Tan 40 = new height / base
Tan 40 = new height / 120
Make the new height the subject of the formula.
New height = 120 × tan 40
New height = 100.69 m
Increase in height = new height - height
Increase in height = 100.69 - 55.96
Increase in height = 44.73m
Therefore, the tower will need 44.73m to be raised so that its angle of elevation from the same point will be 40 degrees.
Answer:
90
Step-by-step explanation:
90
