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SSSSS [86.1K]
3 years ago
7

How do subtract fractions and whole numbers

Mathematics
1 answer:
jeyben [28]3 years ago
5 0
Change the Whole Number to a fraction, or just plug it in a claculator 7-(4/24)= 6.8333333333.
if you change the whole number to a fraction you would have to multiply 7 by 24 to have a common denominator which would give you 168/24 so
168◽4◽164.▫▫▫
➖ --- ➖ = ➖ ◽◽◽
24◽24 ◽24.◽◽◽
▫▫▫▫▫▫▫▫
. ▫ 7. ▫▫▫▫▫▫
1) 7=➖▫▫▫▫▫▫
. ▫ 1. ▫▫▫▫▫▫
. ▫▫7 ▫168.▫▫▫
2) 24(➖) = ➖▫▫▫
. ▫▫1▫ 24.▫▫▫
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Determine the projection of vector w onto vector u. u=9i-6j, v=-3i-2j, w=19i+15j
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Answer:

proj_uw=6.2i-4.2j

Step-by-step explanation:

The projection of a vector v onto a vector u is defined as the projection of the vector v on the line that contains the vector u. It can be calculated  using the following formula:

proj_uv=\frac{u\cdot v}{||u||^2} u

Where:

u\cdot v

Is the dot product between u and v which is given by:

u\cdot v= $$\sum_{i=1}^{n} u_iv_i= u_1v_1+u_2v_2+...+u_nv_n$$

and:

||u||

Is the magnitude of vector which can be calculated as follows:

||u||=\sqrt{u_1^2+u_2^2+...+u_n^2}

In this sense, the projection of vector w onto vector u is:

proj_uw=\frac{u\cdot w}{||u||^2} u

Where the dot product between u and w is:

u\cdot w =(9*19)+(-6*15)=171-90=81

And the magnitude of u is:

||u||=\sqrt{9^2+(-6)^2} = 3 \sqrt{13}

Thus:

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Answer:

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