9xa is the common factor.
You can complete the statement by dividing the two terms of the expression of the left side by 9xa, and you will get:
36x^3a + 45xa^2 = 9xa ( 4x^2 + 5a)
: Let y = f(x) = x^1/3
Then dy = 1/3*x^(−2/3) dx
Since f(64) = 4.
We take x = 64 and dx = ∆x = 1
This gives dy = 1/3*(64)^(−2/3)* (1) = 1/48
∴65^(1/3) = f(64 + 1) ≈ f(64) + dy = 4 + 1/48 ≈ 4.021 <span>
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Answer:
x= 6.5 cm
Step-by-step explanation:
When a tangent line touches the circle, it forms a right angle triangle at that point
Apply the Pythagorean relationship in this case
Given that the height is = 20.2 cm = b
The hypotenuse is = c= x+14.7 cm
General formulae is;
a² +b² =c²
x² + 20.2² =( x+ 14.7)²
x² + 408.04= x² +14.7x+14.7x+216.09
x² + 408.04= x² + 29.4 x +216.09.........................collect like terms
x²-x² + 408.04-216.09= 29.4x
191.95= 29.4x-------------------------------divide by 29.4 t0 get x
191.95/29.4 =x
x=6.5 cm
