Consider the following equation.

Mathematics

1 answer:

coldgirl [10]2 years ago

7 0

Answer:

( 19/3, -1)

Step-by-step explanation:

3x + 4y = 15

3x + 4(-1) = 15

3x -4 = 15

3x= 19

x= 19/3

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Just Q9 please x If u could help that would be great

dybincka [34]

General rule: The angles on a straight line total 180°

The right angle equates to 90°

Since that angle is half of our desired angle, it must mean that 2x + x = 90°

breaking this down, we get 3x = 90° which can be divided to make x = 30°

8 0

2 years ago

Given u = −8i − 3j and v = −12i − 7j, what is projvu?

8090 [49]

Answer:

(b) -7.275i -4.244j

Step-by-step explanation:

The projection of vector u onto vector v is the product of the unit vector v, the magnitude of vector u, and the cosine of the angle between them.

The dot product gives the product of the magnitudes of the two vectors and the cosine of the angle between them. To find the projection, we must divide the dot product by the magnitude of v and multiply by the unit vector in the direction of v.

$proj(u,v)=(\vec{u}\cdot\vec{v})\cdot\dfrac{\vec{v}}{|\vec{v}|^2}=\dfrac{((-8)(-12)+(-3)(-7))(-12\vec{i}-7\vec{j})}{(-12)^2+(-7)^2}\\\\=\dfrac{-(96+21)(12\vec{i}+7\vec{j})}{144+49}=-\dfrac{117}{193}(12\vec{i}+7\vec{j})\approx\boxed{-7.275\vec{i}-4.244\vec{j}}$