4x+2y=-24 -4x+y = 12

Mathematics

1 answer:

allsm [11]3 years ago

6 0

Answer:

Step-by-step explanation:

4x+2y = -24 -------------(i)

<u> -4x+y = 12 -</u>------------(ii)

add (i) &(ii) 3y = -12

y = -12/3

y = -4

Put y = (-4) in (i)

4x + 2*(-4) = -24

4x - 8 = -24

4x = -24 + 8

4x = -16

x = -16/4

x = -4

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Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector a

Fofino [41]

Answer:

Vector (ordered pair - rectangular form)

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force ( $\vec F$ ), in pounds-force, can be modelled in two forms: