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First of all let's write the slope-intercept form of the equation of a line, which is:
So we just need to find to solve this problem.
Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:
Negative slope because Amir is descending. So:
To find , we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point . Therefore, substituting this point into our equation:
Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:
Whose graph is shown bellow.
The area of the largest triangle would be 6 inches².
How did I get this? I'll explain first:
We would want our triangle to have the longest sides, so it can be big. If you think of a rectangle, a triangle can fit into it if:
The base (bottom) of the triangle is the same length as one side of the rectangle, and the other side of the triangle is perpendicular (90°) to the bottom and is the same length of the other side of the rectangle.
Okay, just picture it: two sides of the triangle are resting in the two sides of the rectangle, and the third side of the triangle is a line that splits the rectangle in half from one corner to the other.
I've added an image to explain.
The formula to find the area of a triangle is half of the base × height.
A of Δ = half of 3 × 4A = 1.5 × 4 = 6 inches²!
You re write the equation, so when the equations are added one of the variables are eliminated
Answer:
-x - 3y + z
Step-by-step explanation:
Think of a imaginary 1(-1 because of the sign) in front of the parenthesis and distribute it to the other number and so x will become -x, 3y will become -3y and -z will become z because two negatives make a positive.