Answer:
The value of a is 3
Step-by-step explanation:
First you have to make an equation based on the point and slope that you were given. The formula for this is y-(y cordinate of point)=slope(x-x cordinate of slope)
y--2=-3(x-6), which simplifies to y+2=-3(x-6)
In (a,7), 7 is the y coordinate. We have to plug 7 in for the y in our equation.
7+2=-3(x-6),
Combine like terms on the left side to get to 9=-3(x-6)
Multiply out on the left to get 9=-3x+18
Subtract 18 from the left side to get -9=-3x
Divide both sides by negative 3 to get 3=x (remember x is a)
I think you have to figure out the gradient, so you take the 2 points and put it into the equation
change in y divided by change in x aka
y2-y1/x2-x1
so for question 3:
y2=4 and y1=3
(taken from the first and second coordinates)
x2=3 and y1=7
put these values jnto the equation
4-3/3-7 = 1/-4 (can be written as negative 1/4)
for question 4 its the same thing:
y2=9 and y1=5
x2=4 and x1=2
put into equation
9-5/4-2 = 4/2
hope this helps, im also hoping your teacher already has taught this because i didnt go into detail of where the equation came from, if not ask me and ill gladly help X
OK so you want the probabilty of A and B occurring. Independet event probabilities are multiplied so its 0.2 * 0.6 = 0.12
b
Simplifying
2c + 3 = 3c + -4
Reorder the terms:
3 + 2c = 3c + -4
Reorder the terms:
3 + 2c = -4 + 3c
Solving
3 + 2c = -4 + 3c
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-3c' to each side of the equation.
3 + 2c + -3c = -4 + 3c + -3c
Combine like terms: 2c + -3c = -1c
3 + -1c = -4 + 3c + -3c
Combine like terms: 3c + -3c = 0
3 + -1c = -4 + 0
3 + -1c = -4
Add '-3' to each side of the equation.
3 + -3 + -1c = -4 + -3
Combine like terms: 3 + -3 = 0
0 + -1c = -4 + -3
-1c = -4 + -3
Combine like terms: -4 + -3 = -7
-1c = -7
Divide each side by '-1'.
c = 7
Simplifying
c = 7
