Answer:
a) y=3x-11
b) y=-1/3x-1
Step-by-step explanation:
First find the slope of the line
rise/run
rise is 3
run is 1
so slope is 3
since this line is parallel to "a", the slope of "a" will also be 3
the equation of a will be
y-y1=3(x-x1) -- where x1 and y1 will be the points it passes through (3,-2)
y-(-2)=3(x-3)
y+2=3x-9
y=3x-9-2
y=3x-11
since this line is perpendicular to "b", the slope of "b" will also be reciprocal negative , -1/3
y-y1=-1/3(x-x1) -- where x1 and y1 will be the points it passes through (3,-2)
y-(-2)=-1/3(x-3)
y+2=-1/3x+1
y=-1/3x+1-2
y=-1/3x-1
Answer:
A: second one or middle choice
B: (5x + 8)(3x - 2)
Step-by-step explanation:
First question (A)
It is a trinomial. You can't use the difference of squares on it. The difference of squares have two terms as an answer.
It is not a perfect square. 15 is not a perfect square and c would have to be positive not minus to even think about using a perfect square.
So the A answer is the second one. You need two different binomials to factor this.
Second Question
You could try all the possible pairings and solve them by brute force.
The are five choices the go with the first one (3x + 4). Eventually you would get the answer, you would have to try 5 + 4 + 3 + 2 + 1 = 15 attempts.
There must be a shorter way.
14 means that the expressions are fairly far apart. This was just luck on my part. There is no logic. 8 and 2 for 16 are fairly far apart.
(5x + 8)(3x - 2)
The middle term is 8*3x - 2*5x = 14x and that looks like the answer.
