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Mathematics

2 answers:

forsale [732]3 years ago

6 0

Answer: D

Step-by-step explanation:

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Volgvan3 years ago

5 0

Answer: D) This triangle is a right triangle: 60^2+144^2 - 156^2 = 0

This is the same as saying 60^2 + 144^2 = 156^2

You would use the pythagorean theorem. In this case, a = 60, b = 144 and c = 156. The longest side is always the value of c. The order for the values of 'a' and 'b' do not matter. Convention usually has 'a' being the smaller of the two.

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Veronika [31]

Answer:

(4, -2) (see attached)

Step-by-step explanation:

Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.

<h3>vector components</h3>

The components of the vectors are ...

u = (1, -2)

v = (-6, -6)

Then the components of the vector sum are ...

2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)

2u -1/3v = (4, -2)

<h3>graphically</h3>

The sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.

One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.

The resultant is in red in the attachment.