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3 years ago

Please help with this math problem!! :)

Mathematics

1 answer:

Elza [17]3 years ago

5 0

Answer:

x + 150 deg = 180deg (being co-interior angles)

:. x = 30 deg

2. y^2 + 7= 32 ( opposite sides of parallelogram are equal)

or, y^2 = 25

or y^2 = 5^2

: . y = 5

3. k= 2y^2 ( opposite sides of parallelogram are equal)

or, k = 2× 5^2

: . k = 50

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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.

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