We need to solve the equation: w² + 36 = 12w
⇒ w² - 12w + 36 = 0
⇒ w² - 6w - 6w + 36 = 0 (Breaking 6w such that their product is 9w²)
⇒ w × (w - 6) - 6 × (w - 6) = 0 (Extracting common factors)
⇒ (w - 6) × (w - 6) = 0
⇒ (w - 6)² = 0
⇒ w = 6
Hence, the correct answer is 6 which is the fourth option from the replacement set
Answer:
50 ( nearest whole number)
Step-by-step explanation:
Given from the question :
Ratio of Adjacent to hypotenus = 0.92
Length of Adjacent leg = 46 units
From trigonometry :
Ratio of adjacent to hypotenus is the cosine of the angle :
Hence,
Cos 23 = adjacent / hypotenus
Cos 23 = 46 / hypotenus
0.9205048 = 46/ hypotenus
Hypotenus = 46 / 0.9205048
Hypotenus = 49.97
Since you're reflecting both points across the x axis they'll be the same, but flipped.
S will be (-6, 5) and Q will be (2, -1)
Money does Chittock possess= $ 212
Amount spent per week = $9
Amount possessed by Mr. Baker = $ 51
Amount saved by Baker = $ 14
Let after x weeks they have same amount.
A.T.Q
→212 - 9 x = 51 + 14 x
taking out like terms on side
→ 212 - 51=9 x + 14 x
→ 23 x = 161
Dividing sides by 23, we get
x=7,
So, number of weeks after Mr Chittock and Mr.Baker have same amount is 7.
Answer:
w = 18 is the solution
The equation for this problem is 6w - 28 + w = 98
w stands for width
Step-by-step explanation:
7x - 28 = 98 Collect like terms
7w = 98 +28 Move the constant to the right hand side and change its sign
7w = 126 Add the numbers
w = 18 Divide both sides of the equation by 7
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