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allochka39001 [22]
3 years ago
10

Find the points of intersection of the line x = 3 + 2t, y = 5 + 8t, z = −6 + t, that is, l(t) = (3 + 2t, 5 + 8t, −6 + t), with t

he coordinate planes. xy plane (x, y, z) = xz plane (x, y, z) = yz plane (x, y, z) =

Mathematics
1 answer:
blsea [12.9K]3 years ago
8 0
See, please, suggested decision:
When the line intersects the xy-plane, then parameter z=0, when does the xz - y=0 and when does yz, x=0. All the details are in attachment.
If it's possible, check arithmetic part.

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Solve the system.<br> 2x + y = −3 −2y = 6 + 4x<br> Write each equation in slope-intercept form.
Fantom [35]

The slope-intercept form:

y = mx + b

m - slope

b - y-intercept

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

2x + y = -3       <em>subtract 2x from both sides</em>

y = -2x - 3


-2y = 6 + 4x

-2y = 4x + 6     <em>divide both sides by (-2)</em>

y = -2x - 3

We have the same equations. Therefore the system of equations is dependent. Has an infinite number of solutions

x ∈ R

y = -2x - 3

7 0
4 years ago
Read 2 more answers
*Written Response Question*
belka [17]

The relationship between lines KO and K’O’ is given as Line K'O' = 5 * line KO

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial point to a new location. Types of transformation are<em> reflection, rotation, translation and dilation.</em>

Dilation is the increase or decrease in size of a figure by a scale factor.

The larger figure was dilated using a scale factor of 5, hence:

Line K'O' = 5 * line KO

The relationship between lines KO and K’O’ is given as Line K'O' = 5 * line KO

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

7 0
2 years ago
State whether each expression is meaningful. If not, explain why. If so, state whether it is a vector or a scalar.a. a. (bxc)i.
Artemon [7]

Answer:

ii

iii

i

iv

iii

ii

Step-by-step explanation:

a) For the first vector expression a. (bxc)

Yes, the expression is meaningful because the expression is in form of an associative rule, here we have a dot and a cross, the cross is evaluated first, thereafter the dot and eventually the results gives a scalar. the expression can also be written as a. (bxc) = (a.b) x (a.c)

correct option is (ii)

b) for the expression a x(b.c)

Yes, the expression has no meaning, because a cross product can only be expressed for two terms i.e a cross and then a dot as such it is neither a vector nor a scalar and hence the correct option is (iii)

c) for the expression a x (bxc)

Yes, the expression is meaningful because of the dominance of the cross product which can also be written as a x (bxc) = (axb) x(axc) as such it is a vector, correct option is (i)

d) for the expression a.(b.c)

the expression here has no meaning because the dot product can only be expressed for two term as such it is neither vector nor scalar hence the correct option is (iv)

e) for the expression (a.b)x(c.d)

The expression is meaningless because the cross product is only defined for two terms as such the expression can not be written in another way, it is neither scalar nor vector. the correct option is (iii)

f) for the expression (axb) . (cxd)

the expression here is meaningful because if the cross product terms are evaluated first before the dot product, a unique solution will be gotten which will be in terms of a scalar. correct option is (ii)

6 0
4 years ago
What would 10/7 look like on a number like
Elanso [62]

Answer:

It would look as if it's close to  1 1/2 but not quite.

5 0
3 years ago
Read 2 more answers
Choose the answer that shows exponential decay?*
Vlad1618 [11]
I’m not sure what that is
6 0
3 years ago
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