Answer:
C. If an animal is a dog, then it is a golden retriever; false
Step-by-step explanation:
Logical reasoning is an important aspect of mathematics.
The conditional statements in the question are represented by the letters p and q. The if-then statement in which the statement p will lead to a conclusion in q is a glaring characteristic of conditional statements. A conditional will be held to be true unless a statement that is true has a false conclusion derived from it.
In the question above, the conditional statement is; If an animal is a dog, then it is a golden retriever. We can clearly see that this conclusion is false.
So we are given an initial equation of: 
.
We are told that a new path is going to be perpendicular to this line. So to find a slope that is perpendicular to a line, we take the slope of the known line (in this case 2) and we flip it and change the sign. So since this slope is essentially 
, we are going to flip it to make it 
and change the sign to make it 
.
So now we know that the slope of the perpendicular line is , we can start a new equation for this line:
We are also told that the path will intersect at (-2,-3) - this is a solution to the two lines. So to find b in this new equation, let's plug in the x and y values found in the point:
Then solve for b:
So then we plug in our value for b and leave x and y:
So this equation now represents the new path.
You need to find the root of 69 since the length and width are multiplied to get the area, therefore it would be 8.3 inches.
Answer:
1) B) 123 years
2) B) 51 years
Step-by-step explanation:
1)given information
2) 2011-1960=51
