Dilation:
The dilation factor is the length of image/preimage = 1.5
Thus
Q'R'/QR=1.5
Q'R'=1.5QR = 1.5 (5 cm) = 7.5 cm
(Edited)
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Event A: You get a red car
and

Similarly,
Event B: You get a convertible
and

So, if A and B are independent , then they must satisfy,

So,

Hence, Option 'D' is correct, which states that the probability of getting a red convertible is 0.08.
Answer: 2 rational solutions
Step-by-step explanation:
When the discriminant, b² + 2a, is greater than 0, there are two real solutions. 49 is the perfect square of 7, so the solutions are also rational: plus and minus 7
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
_______________
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 is Use math paa :))))))