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lbvjy [14]
3 years ago
6

(f/h)(2) f(x)=3x-4 h(x)=8-3x

Mathematics
1 answer:
kotegsom [21]3 years ago
3 0

Answer:

1

Step-by-step explanation:

find f(2)

    f(2) = 3(2) - 4 = 6 - 4 = 2

Now find h(2)

    h(2) = 8 - 3(2) = 8 - 6 = 2

Now find f(2)/h(2)

  2/2 = 1

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Step-by-step explanation:

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What is the best approximation of the projection of (5,-1) onto (2,6)?
Hatshy [7]

Answer:

Hence, the scalar projection of \vec a onto \vec b= \frac{\sqrt{10} }{5}, and  the vector projection of \vec a onto \vec b = \frac{1}{5} \hat i+\frac{3}{5} \hat j.

Step-by-step explanation:

We have given two points  (5, -1) and (2, 6).

Let,     \vec a=5\hat {i}-\hat {j}  and  \vec b= 2\hat {i}+6\hat{j} .

and we have calculate the projection of \vec a onto \vec b.

Now,

For the calculation of projection, first we need to calculate the dot product of  \vec a  and \vec b.

\vec a.\vec b=(5\hat {i}-\hat{j}).(2\hat{i}+6\hat{j})

     =10-6

     =4

then, we have to calculate the magnitude of \vec b.

   \mid {\vec {b}}\mid = \sqrt{2^{2}+6^{2}  } = \sqrt{40} = 2\sqrt{10}.

Now, the scalar projection of \vec a onto \vec b = \frac{\vec a.\vec b}{\mid b\mid}

                                                                 = \frac{4}{2\sqrt{10} }\frac{2}{\sqrt{10} } \times\frac{\sqrt{10} }{\sqrt{10} } =\frac{2\sqrt{10} }{10} = \frac{\sqrt{10} }{5}

and the vector projection of \vec a onto \vec b = \frac{\vec a. \vec b}{\mid\vec b \mid^{2} } . \vec b

                                                               = \frac{4}{40} . (2\hat i+ 6\hat j)

                                                                = \frac{1}{5} \hat i+\frac{3}{5} \hat j

Hence, the scalar projection of \vec a onto \vec b= \frac{\sqrt{10} }{5}, and  the vector projection of \vec a onto \vec b = \frac{1}{5} \hat i+\frac{3}{5} \hat j.

                                                               

6 0
3 years ago
write a linear equation that has a slope of 1/2 and a y-intercept at the origin. (y=1/2x) (y=0x+1/2) (y=1/2x+1/2) (y=-1/2x)​
Nesterboy [21]

Answer:

The linear equation with given slope and y-intercept is:

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Step-by-step explanation:

The slope-intercept form of equation is given by:

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Here

m is the slope of the line and b is the y-intercept.

Given that

Slope of line is 1/2 so m = 1/2

And y-intercept is on origin so b = 0

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Hence,

The linear equation with given slope and y-intercept is:

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