Answer:
(x + 3)(3x - 4)
Step-by-step explanation:
Given
3x² + 5x - 12
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 12 = - 36 and sum = + 5
The factors are + 9 and - 4
Use these factors to split the x- term
3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )
= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term
= (x + 3)(3x - 4)
Thus
3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form
A= -81 + square root of 113
a<span>≈</span> -70.36985418
Answer:
x= 77
Step-by-step explanation:
The angle at 122 degrees is a linear pair with the isosceles triangle, meaning it makes 180 degrees.
180-122= 58 degrees
Since it is an isosceles triangle, the two angles at the bottom are both 58 degrees.
Let's use this info to find the degree at the top.
58+58= 116
There are 180 degrees in a triangle, so subtract 116 degrees we have so far to find the last angle.
180-116= 64 degrees
And since the angle at the top makes 90 degrees, we can subtract 64 degrees to find the smaller angle to the right of the 64 degree angle.
90-64= 26 degrees
And since a triangle has a total of 180 degrees, subtract the 26 degrees from 180.
180-26= 154 degrees.
And since it is an isosceles triangle, divide the remaining 154 degrees by 2 because they are both equal.
154/2= 77 degrees.
Your answer is 77 degrees.
60,000,000,000 in scientific notation is 6 x 10^10 so you move the decimal 10 times.
Answer:
It will cost 45 dollars
Step-by-step explanation:
