Verbalize 2(n^3+3n^2)=4n
1 answer:
You might be interested in
Answer:
1. 8.5 yards.
2. $42.5
Step-by-step explanation:
We have been given that Sue buys 5 pieces of fabric. Each piece is yards long.
1. To find the total length of fabric bought by Sue we will multiply length of each fabric piece by 5.
Therefore, Sue bought 8.5 yards of fabric.
2. 1 yard of fabric costs $5.
So 8.5 yards of fabric will cost : 5*8.5
Therefore, the cost of total fabric bought by Sue is $42.5.
Answer:
(3, 1.7)
Step-by-step explanation:
The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.
Two lines are perpendicular if the product of their slopes is -1.
The slope of the line joining D(0,0), F(3,7) is:
The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:
The slope of the line joining E(7,0), and F(3,7). is:
The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:
The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:
x = 3, y = 1.7