You will have to do 9 divided by 80, which is 9/80.
Answer:
The answer to your question is the letter b) y = -3x + 11
Step-by-step explanation:
Data
Original line y = 1/3x - 2
Point = (3, 2)
New line = ? (perpendicular)
Process
1.- Get the slope of the original line
The slope is the coefficient of the x in the line equation.
y = 1/3x - 2
slope = m = 1/3
2.- Find the slope of the new line
new slope = -3 (because the lines are perpendicular)
3.- Find the equation of the new line
y - y1 = m(x - x1)
x1 = 3 y1 = 2
-Substitution
y - 2 = -3(x - 3)
-Simplification
y - 2 = -3x + 9
y = -3x + 9 + 2
-Result
y = -3x + 11
Answer:
Step-by-step explanation:
O
3x² - 11x - 4 = 0
a = 3 ; b = -11 , c = -4
W
8x² + 12x = -1
8x² + 12x + 1 = 0
a = 8 ; b = 12 ; c = 1
L
x² + x = 6
x² + x - 6 = 0
a = 1 ; b= 1 ; c = -6
G
x²- 2x - 2 =0
a = 1 ; b = -2 ; c = -2
E
4x - 5 = -4x²
4x² + 4x - 5 = 0
a = 4 ; b = 4 ; c = -5
B
12x² +x -6 = 0
a = 12 ; b = 1 ; c = -6
R
2x² + 5x - 25 = 0
a = 2 ; b = 5 ; c = -25
A
6x² -5x - 4 = 0
a = 6 ; b = -5 ; c = -4
![Sum \ of \ roots =\dfrac{-[-5]}{6}=\dfrac{5}{6}\\\\Product \ of \ roots = \dfrac{-4}{6}=\dfrac{-2}{3}](https://tex.z-dn.net/?f=Sum%20%5C%20of%20%5C%20roots%20%3D%5Cdfrac%7B-%5B-5%5D%7D%7B6%7D%3D%5Cdfrac%7B5%7D%7B6%7D%5C%5C%5C%5CProduct%20%5C%20of%20%5C%20roots%20%3D%20%5Cdfrac%7B-4%7D%7B6%7D%3D%5Cdfrac%7B-2%7D%7B3%7D)
The probability of drawing a goldfish on the first draw is 16 / ( 16 + 24 ), or 16/40, or 2/5. Supposing that the first fish drawn is actually a goldfish, then there are 15 goldfish left among 39 fish, and the probability of drawing a goldfish on the 2nd draw is 15/39, or 5/13. The (joint) probability of drawing 2 goldfish on the 1st 2 draws, without replacement, is (5/13)(2/5) = 2/13.
Answer:
The answer is 1st point, 1/2×22.0×23.1
Step-by-step explanation:
You can let XY be the base and XZ be the height of the triangle. Then, by using the formula of the area of triangle, A=1/2×base×height to find the expression.
