<span>16 square units.
Let's use the pythagorean theorem to determine the lengths of each side of the rectangle.
A = (-3,-1), B = (1,3), C = (3,1), D = (-1,-3)
Length AB^2 = (-3 - 1)^2 + (-1 -3)^2 = -4^2 + -4^2 = 16+16 = 32
Length BC^2 = (1 - 3)^2 + (3-1)^2 = -2^2 + 2^2 = 4 + 4 = 8
Length CD^2 = (3-(-1))^2 + (1-(-3))^2 = 4^2 + 4^2 = 16+16 = 32
Length AD^2 = (-3 - (-1))^2 + (-1 - (-3))^2 = -2^2 + 2^2 = 4 + 4 = 8
And just to make certain I haven't accidentally included the diagonal of the rectangle, I'll check AC and BD. So
Length AC^2 = (-3 - 3)^2 + (-1 - 1)^2 = -6^2 + -2^2 = 36 + 4 = 40
Length BD^2 = (1 - (-1))^2 + (3 - (-3))^2 = 2^2 + 6^2 = 4 + 36 = 40
So I now know that length of the rectangle is sqrt(32) and the width is sqrt(8). And the area will be the product of those 2 numbers. So
sqrt(32)*sqrt(8) = sqrt(256) = 16.
So the area of the rectangle is 16 square units.</span>
Answer:
Option: D. Sugar
Explanation:
African slaves brought in America after the introduction of the triangular trade. Slaves sent in America and in Caribbean Island to work in plantations. Several crops raised but the prominent harvest turns out to be sugar. Sugar plantation began during the 17th century after sugarcane brought from West Indies. The industry grew rapidly in some southern parts of America, and by 1830 New Orleans had the largest sugar refinery
they are all fighting for their freedom and rights to be treated equally in today's society this is what i think
Answer:
Music is a form of language so using that to influence people would be no different than how a movie or show could influence someone.
Explanation:
Music is essentially a form of language that allows people to communicate with each other and share experiences. Music can enhance and influence mood and emotions. A Penn State study carried showed that people's emotions became more positive after they listened to music.
Music improves intelligence, memory and behavior. It alleviates anxiety and promotes immunity. Music also makes people happy and productive; however, explicit references to drugs and violence in music contribute to negative and risk behaviors. Music affects society because of its positive and negative influence on some of its members. But it can also do the exact opposite depending on the type of music as well!
I would say that the stirrup allowed for quicker mounting of the horse, and it may have caused horses to be used in battle more frequently.