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Pavlova-9 [17]
3 years ago
6

Write a linear equation that passes through the points (-3,3) and (9,-13).

Mathematics
1 answer:
Travka [436]3 years ago
4 0
Find the slope
(y2-y1)/(x2-x1)
(-13-3)/(9+3)
-16/9 = -1.333 repeating slope
Equation: y = 1.333x - 1
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Determine as a linear relation in x, y, z the plane given by the vector function F(u, v) = a + u b + v c when a = 2 i − 2 j + k,
Ostrovityanka [42]

Answer:

2x - y - 3z = 0

Step-by-step explanation:

Since the set

{i, j}  = {(1,0), (0,1)}

is a base in \mathbb{R}^2

and F is linear, then

<em>{F(1,0), F(0,1)}  </em>

would be a base of the plane generated by F.

F(1,0) = a+b = (2i-2j+k)+(i+2j+k) = 3i+2k

F(0,1) = a+c = (2i-2j+k)+(2i+j+2k) = 4i-j+3k

Now, we just have to find the equation of the plane that contains the vectors 3i+2k and 4i-j+3k

We need a normal vector which is the cross product of 3i+2k and 4i-j+3k

(3i+2k)X(4i-j+3k) = 2i-j-3k

The equation of the plane whose normal vector is 2i-j-3k and contains the point (3,0,2) (the end of the vector F(1,0)) is given by

2(x-3) -1(y-0) -3(z-2) = 0

or what is the same

2x - y - 3z = 0

3 0
3 years ago
How many Japanese yen are equal to $100?
disa [49]
If you mean american dollars (which you most likely do) then it would be:
100 = 12285.
1000 = 122850.
10.000 = 1228.10
hope i helped
3 0
3 years ago
Read 2 more answers
John worked 35 hours a week at buy-the-best for $8.50 per hour. so far, he has earned $3,272.50. how many weeks has john worked
babymother [125]
11 weeks
35*8.50=297.50
3272.50 / 297.50 = 11
5 0
3 years ago
Read 2 more answers
Is 4.5 natural number?​
vfiekz [6]

Answer:

No

Step-by-step explanation:

4.5 IS NOT A WHOLE NUMBER!

4 0
3 years ago
Read 2 more answers
EASY, ASAP!
Lady bird [3.3K]

Answer:

Number 1: x = 5

Number 2: y = 3, x = 1

Number 3: x = 40

Step-by-step explanation:

For Number 1 you have to keep in mind that quadrilaterals have an interior angle measurement of 360°.

With that in mind, all the angles must add up to 360° (duh).

(20x - 16) + (81) + (16x + 10) + (15x + 30)

20x - 16 + 81 + 16x + 10 + 15x + 30 = 360

That's a bloody mess! We should really combine like terms.

20x <em>- 16 </em>+ <em>81 </em>+ 16x +<em> 10</em> + 15x + <em>30</em>

51x + 105 = 360

That looks a lot better, basic algebra from here, where we droppin' bois?

51x = 255

x = 5

--------------------------------------------------

This one's real easy.

In a parallelogram, the sides opposite from each other are equal, therefore:

2y + 2 = 4y - 4

and

x + 6 = 7x

Both are <em>very </em>easy to solve, here:

2y + 2 = 4y - 4

2y + 6 = 4y

6 = 2y

3 = y

<em>Easy!</em>

x + 6 = 7x

6 = 6x

1 = x

<em>Are you kidding me? This is easy stuff, kid.</em>

--------------------------------------------------

In a Rhombus, in case you didn't know, its diagonals (the lines connecting points diagonal to each other) are ALWAYS perpendicular to one another (intersect at 90°) which means:

2x + 10 = 90

2x = 80

x = 40

--------------------------------------------------

That will be all, ya boi Keith.

4 0
3 years ago
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