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weqwewe [10]
3 years ago
5

What is the projection of (4,4) onto (-7,3)?

Mathematics
1 answer:
erica [24]3 years ago
3 0
Let's define the vectors:
 u = (4,4)
 v = (- 7.3)
 The projection of u on v is:
 P = ((u.v) / (v ^ 2)) v
 We have then:
 u.v = (4,4). (- 7.3)
 u.v = (4) * (- 7) + (4) * (3) = -28 + 12 = -16
 v ^ 2 = (- 7) ^ 2 + (3) ^ 2 = 49 + 9 = 58
 Substituting we have:
 P = ((- 16) / (58)) (- 7, 3)
 Rewriting:
 P = -0.28 (-7, 3)
 Answer:
 
the projection of (4,4) onto (-7,3) is:
 
C) -0.28 (-7.3)
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For a moving object,When. The force acting on the object varies directly with the object's acceleration. When a force of 64 N ac
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Answer:

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Step-by-step explanation:

From the question.

Force is directly proportional to acceleration, with the mass of the object constant.

F α a

F = ka

F₁/a₁ = F₂/a₂....................... Equation 1

Where F₁ = Initial force, a₁ = initial acceleration. F₂ = final force, a₂ = Final acceleration.

make F₂ the subject of the equation

F₂ = (F₁/a₁)a₂................ Equation 2

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3 years ago
<img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3x-6%7D%7B5-2x%7D" id="TexFormula1" title="f(x)=\frac{3x-6}{5-2x}" alt="f
Svetradugi [14.3K]

i) The given function is

f(x)=\frac{3x-6}{5-2x}

The domain is all real values except the ones that will make the denominator zero.

5-2x=0

-2x=-5

x=2.5

The domain is all real values except, x=2.5.

ii) To find the vertical asymptote, we equate the denominator to zero and solve for x.

5-2x=0

-2x=-5

x=2.5

iii) If we equate the numerator to zero, we get;

3x-6=0

3x=6

This implies that;

x=2

iv) To find the y-intercept, we put x=0 into the given function to get;

f(0)=\frac{3(0)-6}{5-2(0)}.

f(0)=\frac{-6}{5}.

f(0)=-\frac{6}{5}.

v)

The degrees of both numerator and the denominator are the same.

The ratio of the coefficient of the degree of the numerator to that of the denominator will give us the asymptote.

The horizontal asymptote  is y=-\frac{3}{2}.

vi) The function has no common factors that are at least linear.

The function has no holes in it.

vii) This rational function has no oblique asymptotes because it is a proper rational function.

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Answer:

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Step-by-step explanation:

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