Answer:
The correct answer is (-5,-5)
Step-by-step explanation:
1. Both of the equations are in standard form, so first you set them equal to each other.
2. Solve for x as a normal algebraic equation.
3. Back substitute your answer for x into one of the original equations. (back substitution is just putting the x back into the equation and solving for y.)
4. Now you have your x and y coordinates, and the point of intersection of the two lines.
To find the probability of Joseph picking a key lime piece of taffy you will create a fraction with the number of possible outcomes over the total possible outcomes.
<u># of key lime taffies</u> <u>12</u>
total # of taffies = 60
12/60 = 1/5
1/5 = 0.2
Joseph has a 0.2 probability of picking a key lime taffy.
Answer:
B. 2x + y = pi + 1.
Step-by-step explanation:
y = sin x + 2 cos x
The slope of a line tangent is the derivative, so:
y' = cos x - 2 sin x
At (pi/2, 1) , substituting for x:-
cos pi/2 - 2 sin pi/2
= 0 - 2 * 1 = -2.
So the slope is - 2 and an equation can be found by using the point-slope formula:
y - y1 = m(x - x1) so:
y - 1 = -2(x - pi/2)
y = -2x + pi + 1
2x + y = pi + 1.
Answer:
2
Step-by-step explanation:
4x=2+3x
4x-3x=2
x=2
