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spayn [35]
2 years ago
5

Writeanequationforthelinethatpassesthrough(4,-3)and has a slope of 3.

Mathematics
2 answers:
earnstyle [38]2 years ago
8 0

Answer:

y = 3x -15

Step-by-step explanation:

y = mx + c

y = 3x + c

-3 = 3(4) + c

-3 = 12 + c

-3-12 = c

-15 = c

y = 3x -15

djyliett [7]2 years ago
7 0

Answer:

x+y=1 (if x=4 )

4+y=1

y=1-4

y=-3

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2 years ago
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An area of 18 square feet that is 6 feet long and 3 feet wide. A rug covered 1/3 square foot tiles. How many tiles will the rug
Shkiper50 [21]

Answer:

The number of tiles the rug will cover is 54 tiles

Step-by-step explanation:

Here we have,

Total area covered by the rug = 18 ft²

Size of one tile = 1/3 ft²

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Here we note that we are dividing a number by a fraction which is the same as multiplying the number by the inverse of the fraction as follows

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2 years ago
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(1) Let {v1,v2,v3} be a set of vectors in Rn . If u is Span {v1,v2,v3}, show that 3u is in Span {v1,v2,v3}.
Evgesh-ka [11]

Answer:

(1)

Multiplying by 3 both sides of the equality you get that

3u = 3c_1v_1+3c_2v_2+3c_3v_3

3u  is in the Span of the vectors \{v_1,v_2,v_3\}.

(2)

That's not true, consider the following counter example.

v_1 = (0,0,0,1)\\v_2 = (0,0,1,0)\\v_3 = (0,1,0,0)\\v_4 = (1,0,0,0)\\u = (0,1,1,1)

u is a linear combination of v_1,v_2,v_3 but is NOT a linear combination of v_1,v_2,v_3,v_4.

Step-by-step explanation:

(1)

As the hint indicates, you know that

u = c_1 v_1 + c_2v_2+c_3v_3

Then, if you multiply both sides of the equality by 3, you get that

3u = 3c_1v_1+3c_2v_2+3c_3v_3

And that's it. 3u  is in the Span of the vectors \{v_1,v_2,v_3\}

(2)

That's not true, consider the following counter example.

v_1 = (0,0,0,1)\\v_2 = (0,0,1,0)\\v_3 = (0,1,0,0)\\v_4 = (1,0,0,0)\\u = (0,1,1,1)

u is a linear combination of v_1,v_2,v_3 but is NOT a linear combination of v_1,v_2,v_3,v_4.

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