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SSSSS [86.1K]
3 years ago
15

Write the equation of a line that is parallel to the following: 1. x = 5 2. y = -3

Mathematics
1 answer:
sineoko [7]3 years ago
3 0

Answer:

1.  x=6

2.  y=2

Step-by-step explanation:

If x=5, the line is vertical, so we need a vertical line so that we are parallel.  A vertical line is x= a constant

We can choose the value for x as long as it is not 5, that would make it the same line.  I will choose x=6

If y=-3=5, the line is horizontal, so we need a horizontal line so that we are parallel.  A horizontal line is y= constant

We can choose the value for y as long as it is not -3, that would make it the same line.  I will choose y=2

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Let u= <4,3>. Find the unit vector in the direction of u, and write your answer in component form.
aksik [14]
Take the vector u = <ux, uy> = <4, 3>.

Find the magnitude of u:

||u|| = sqrt[ (ux)^2 + (uy)^2]

||u|| = sqrt[ 4^2 + 3^2 ]

||u|| = sqrt[ 16 + 9 ]

||u|| = sqrt[ 25 ]

||u|| = 5

To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is

u/||u||

u * (1/||u||)

= <4, 3> * (1/5)

= <4/5, 3/5>

and there it is.

Writing it in component form:

= (4/5) * i + (3/5) * j

I hope this helps. =)
3 0
3 years ago
What is the unit ratio for a button of 16 grams and 2 milliliters?
Reika [66]

Answer:

The unit ratio would be 8 grams per milliliters

Step-by-step explanation:

Since, the unit ratio is a fraction with denominator 1,

In other words, the amount of one quantity in unit amount of other quantity is called unit rate or unit ratio.

Here, the amount first quantity = 16 grams,

The amount of second quantity = 2 milliliters,

Thus, unit ratio = \frac{\text{First quantity}}{\text{Second quantity }}

=\frac{16}{2} = 8 grams per milliliters

6 0
3 years ago
Que es más gramos o miligramos ?
Anuta_ua [19.1K]
Los gramos son más de miligramos
7 0
3 years ago
Louis was served 145 g of meat
tamaranim1 [39]
What is the rest of the question
5 0
3 years ago
Isla pick tomatoes from her vegetable patch and then sells them in boxes she changes 14p for each tomatoes and 25p for each boxe
amid [387]

9514 1404 393

Answer:

  • 18 tomatoes: £3.02
  • £4.39 ⇒ 26 tomatoes

Step-by-step explanation:

a) at 12 tomatoes per box, 18 tomatoes will require 2 boxes. Then Isla's price will be ...

  2(25p) +18(14p) = 50p +252p = £3.02

18 tomatoes in 2 boxes cost £3.02.

__

b) The 3 boxes cost 3(25p) = £0.75, so the tomatoes cost ...

  £4.39 -0.75 = £3.64

at 14p each, the number of tomatoes is £3.64/£0.14 = 26

There are 26 tomatoes in 3 boxes costing £4.39.

7 0
3 years ago
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