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3 years ago

Given vector u = (3, 1) and v = (2,-4), determine the value of v – 4u in component form.

Mathematics

1 answer:

igomit [66]3 years ago

8 0

Answer:

(-10, -8)

Step-by-step explanation:

Each component of vector u is multiplied by 4. So

u = (3, 1)

4u = (4*3, 4*1) = (12,4).

v – 4u

Subtraction of the components of vector v by the components of the vector 4u. So

v - 4u = (2, -4) - (12, 4) = (2-12, -4 - 4) = (-10, -8)

The value is (-10, -8)

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If Y varies directly with X solve the following :

BARSIC [14]

Answer:

a) x = -270

b) y = 304/9 or y = 33.78

c) x = -37.8

Step-by-step explanation:

y varies directly with x so y = kx

y = kx

k = y/x

k = 10/-30 = -1/3

y = -1/3 x

If y = 90 then

90 = -1/3 x

x = 90 *(-3) = -270

k = y/x

k = -19/-4.5

k = 38/9

y = 38/9 x

If x = - 8 then

y = 38/9 *(-8)

y = 304/9 or y = 33.78

k = y/x

k = -4.3 / 12.9

k = - 1/3

y = -1/3 x

If y = 12.6 then

12.6 = -1/3 x

x = 12.6 *(-3)

x = -37.8

5 0

3 years ago

Are 1/2 and 2/1 perpendicular or parallel?

Angelina_Jolie [31]

Answer:

parallel

Step-by-step explanation:

3 0

3 years ago

Use a system of equations to solve a problem involving distance, speed, and time.

Yuki888 [10]

Answer:

Speed of boat in still water is 26km/hr

Step-by-step explanation:

Let the speed of boat in still water be x and speed of stream by y.

Speed at which it went upstream would be (x-y) and the speed at which it went downstream would be (x+y). According to question x+y=24 and x-y=28. x=26 and y=-2.

7 0

3 years ago

Anybody know the answer?

dsp73

So since its a right triangle, we can use the pythagorean theorem, which is $leg^2+leg^2=hypotenuse^2$ . Since we know that 2 and 3 are our legs and x is our hypotenuse, we can solve the equation as such: