(B) (x² + xy + y²)(x² - xy + y²)
(C) (x² + √2xy + y²)(x² - √2xy + y²)
(D) (x² + √3xy + y²)(x² - √3xy + y²)
(E) (x + y)²(x-y)²
Can someone explain me how to make it step by step?
Answer:
x = 20
Step-by-step explanation:
Starting equation: x - 36 + 12x = 224
Reorder: 12x + x (as there is no negative sign in front of the x) - 36 = 224
Add common terms: 13x - 36 = 224
Subtract (in this case add) common term to isolate variable: 13x + 36 = 224 + 36
Isolate variable by dividing both sides by 13: 13x = 260
Solve: x = 20
The value of x is for the given trigonometric function is found as: x = 0.1303 + 1/15 *2nπ.
The given expression is:
16 cos(15x) + 8 = 2
On simplification:
cos(15x) = (2-8)/16
cos(15x) = -3/8
15x = arcos ( -3/8 )
15x = 2π - arcos ( -3/8 )
15x = arcos ( -3/8 ) + 2nπ ;or
15x = 2π - arcos ( -3/8 ) + 2nπ ; n ∈ Z
So,
15x = 1.955 + 2nπ
x = 1/15(1.955 + 2nπ)
x = 0.1303 + 1/15 *2nπ , n ∈ Z
Thus, the value of x is found as: x = 0.1303 + 1/15 *2nπ.
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The complete question is attached:
Zara ate 50 almonds last week which is 150% as many as she ate last week.
The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that Zara ate 75 almonds this week, or 150% as many as she ate last week.
Let's assume that she eat x almonds last week
As per the given question, we can write the percentage would be as
⇒ 150% of x = 75
⇒ (150/100) x = 75
Apply the cross-multiplication operation,
⇒ 150x = 7500
Divided by 150 into both sides of the above equation,
⇒ x = 7500/150
⇒ x = 50
Therefore, she eat 50 almonds last week.
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