Solve the simultaneous equations 3 x + 2 y = 18 3 x + y = 12
1 answer:
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As we can assume the relationship is directly proportional, we have to build the proportion and do the cross product. So:
She needs 3 nights
Answer:
vertex = (- 1, - 4.5 )
Step-by-step explanation:
Given
f(x) = (x - 2)(x + 4)
The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.
To find the zeros let f(x) = 0, that is
(x - 2)(x + 4) = 0
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 4 = 0 ⇒ x = - 4
The x- coordinate of the vertex is therefore
x = =
= - 1
Substitute x = - 1 into f(x) for corresponding y- coordinate
f(- 1) = (- 1 - 2)(- 1 + 4) =
× - 3 × 3 = 0.5 × - 9 = - 4.5
Coordinates of vertex = (- 1, - 4.5 )
<h2>Answer:</h2>
Luke does a work of 308Nm
<h2>Step-by-step explanation:</h2>
If we have a constant force that acts on a body in the same direction as the displacement
, then the work
is defined as the product of the force magnitude
and the displacement magnitude
. In other words:
, which is valid for a constant force in direction of straight-line displacement.
In this problem:
Therefore: