Answer:
a = -3/2 = -1.5
Step-by-step explanation:
(1+ax) (2+3x)³
Formula
(a+b)^3=a^3+3a^2b+3ab^2+b^3
(1 + ax) [ 2^3 + 3*2^2*3x + 3*2*(3x)^2 + (3x)^3]
(1 + ax) [ 8 + 12*3x + 6*9x^2 + 27x^3]
8 + 12*3x + <u>6*9x^2</u> + 27x^3 + 8ax + <u>36ax^2</u> + 54ax^3 + 27ax^4
coefficient of x^2 is zero
54x^2 + 36ax^2
54 + 36a = 0
36a = -54
a = -3/2
Cos (πt - 1) oscilates periodically between -1 and +1.
3Cos (πt - 1) oscilates periodically between -3 and +3.
The x-axis is the middle line. The equation of the x-axis is y = 0.
So the, the middle line is y=0.
It is a 45-45 - 90 triangle (as the right angle is split in half for the outer one)
In this case, x is in the hypotenuse. The side lengths follow the 1, 1, √2 formula.
If 1 = 3, then:
3 x √2 = Answer
Answer = 3√2
hope this helps
I order to solve this you have to find out how how much root beer there is to the total amount of candy. 12/27. Then you find out what the percentage of root beer there is by dividing 12 by 27. It’ll give you a decimal point. Percentage has a maximum of 100%. And you’ll find out what percent based on this decimal. Factor it out of 1. The percentage you get is .44. By factoring out of 1 you can find out that the percentage is 44%. So the probability of finding a root beer out of all the candy is roughly 44%
It is true. The triangles are congruent.
