The answer is C, because 2 shapes can have the same area, but that doesn't necessarily mean they're congruent.
Hello,
Use the factoration
a^2 - b^2 = (a - b)(a + b)
Then,
x^2 - 81 = x^2 - 9^2
x^2 - 9^2 = ( x - 9).(x + 9)
Then,
Lim (x^2- 81) /(x+9)
= Lim (x -9)(x+9)/(x+9)
Simplity x + 9
Lim (x -9)
Now replace x = -9
Lim ( -9 -9)
Lim -18 = -18
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The second method without using factorization would be to calculate the limit by the hospital rule.
Lim f(x)/g(x) = lim f(x)'/g(x)'
Where,
f(x)' and g(x)' are the derivates.
Let f(x) = x^2 -81
f(x)' = 2x + 0
f(x)' = 2x
Let g(x) = x +9
g(x)' = 1 + 0
g(x)' = 1
Then the Lim stay:
Lim (x^2 -81)/(x+9) = Lim 2x /1
Now replace x = -9
Lim 2×-9 = Lim -18
= -18
Answer:
x = 80, y = 122
Step-by-step explanation:
I got this equation by using vertical angles to create a complimentary angle pair (they sum to 90 degrees).
3/4x+2/5x-2=90°,
23/20x - 2=90°,
23/20x = 92°,
92/(23/20)
20/(1/4)
20(4)
= 80.
Since the angles are a linear pair on the left side(they sum to 180 degrees). Just subtract 180 from 3/4x-2 and substitute x into the expression.
180-(3/4(x)-2), 180-3/4(80)+2 = 120+2 = 122
Interest is equal to rs 72
Simple Interest is computed by multiplying the principal to the interest rate and the time.
I = P * r * t
Principal = rs 400
Interest rate = 6%
Term / time = 3 yrs
I = 400 * 6% * 3
I = 72 the total interest that must be paid in 3 yrs.
