Answer:
81
Step-by-step explanation:
let the terms be a,ar,ar²
r=2/3
a+a(2/3)+a(2/3)²=171
multiply by 9
9a+6a+4a=171×9
19 a=171×9
a=(171×9)/(19)
a=9×9=81
We can use quadratic formula to determine the roots of the given quadratic equation.
The quadratic formula is:
![x= \frac{-b+- \sqrt{ b^{2} -4ac} }{2a}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-b%2B-%20%5Csqrt%7B%20b%5E%7B2%7D%20-4ac%7D%20%7D%7B2a%7D%20)
b = coefficient of x term = 12
a = coefficient of squared term = 4
c = constant term = 9
Using the values, we get:
So, the correct answer to this question is option B
Answer:
y = 1/6x - 3 1/3
Step-by-step explanation:
y = mx + b
-4 = 1/6 (-4) + b
-4 = -2/3 + b
-4 + 2/3 = b
-3 1/3 = b
A: (2.80÷7)+0.75=1.15
SbS: you divide 2.80 by 7 and you get 0.4. Then you 0.75 to 0.4 to get 1.15 or the original price. So your equation would be: (2.80÷ 7) + 0.75 = 1.15
Answer:
b=17.75 ft
Step-by-step explanation:
We will answer this using Pythagorean Theorem.
Since the bottom of a ladder is 3 feet from the wall, and the ladder is 18 ft long, the ladder is the hypotenuse. Knowing pythagorean theorem (a^2+b^2=c^2), we can plug it in.
3^2 + b^2 = 18^2
9+b^2=324
b^2=315
b=17.75 ft