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3 years ago

Which is the graph of the line × -4y=20

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

8 0

I can't really graph it here but:
Slope: 1/4Y-Intercept: −5

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Pani-rosa [81]

-18 + 9 = -9

-9 = -9

If you're looking for false or true.

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3 years ago

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3 years ago

Find the vector projection of B onto A if A = 5i + 11j – 2k,B = 4i + 7k

valkas [14]

Answer:

$\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\$

Step-by-step explanation:

Given A = 5i + 11j – 2k and B = 4i + 7k, the vector projection of B unto a is expressed as $proj_ab = \dfrac{b.a}{||a||^2} * a$

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note that i.i = j.j = k.k =1

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b.a = 20-14

b.a = 6

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||a|| = √25+121+4

||a|| = √130

square both sides

||a||² = (√130)

||a||² = 130

$proj_ab = \dfrac{6}{130} * (5i+11j-2k)\\\\proj_ab = \frac{30}{130} i+\frac{11}{130} j-\frac{12}{130} k\\\\proj_ab = \frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\\\$

Hence the projection of b unto a is expressed as $\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\$

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Step-by-step explanation:

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