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4 years ago

Find the vector and parametric equations for the line through the point p(0, 1, 3) and orthogonal to the plane −3x+3y+1z=4

Mathematics

1 answer:

larisa86 [58]4 years ago

6 0

Try this solution, check, please, issue no.4.

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Frank had hip replacement surgery and was given a prescription with instructions to take a 200 milligram (mg) tablet three times

IgorC [24]

Answer:

12,600mg per 21 days

Step-by-step explanation:

200mg three times a day → (200mg)(3) = 600mg per a day

21 days → (21)(600mg) = 12,600mg per 21 days

5 0

3 years ago

Write and expression for 7 divided by c

Over [174]

Answer:

7/c

Step-by-step explanation:

7 0

3 years ago

Find equation of set of points pieces that its distance from the point 3, 4, -5 and -2, 1, 4 are equal.

Gnesinka [82]

Answer:

Step-by-step explanation:

Suppose we a point $P(x,y,z)$ such that its distance from either the point $A(3,4,-5)$ or $B(-2,1,4)$ is the same.

Using this information we can formula:

distance AP = distance BP

first, let's find the distance from AP, using the distance formula.

$r = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}$

$AP = \sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2}$

similarly, we can find the distance BP

$BP = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

since both distances are exactly the same we can equate them

$AP = BP$

$\sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2} = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

we can simplify it a bit squaring both sides, and getting rid of the subscripts.

$(3 - x)^2 + (4 - y)^2 + (-5 - z)^2 = (-2 - x)^2 + (1 - y)^2 + (4 - z)^2$

what we have done here is formulated an equation which consists of any point P that will have the same distance from (3,4,-5) and (-2,1,4).

To put it more concretely,

This is the equation of the the plane from that consists of all points (P) from which the distance from both (3,4,-5) and (-2,1,4) are equal.

3 0

3 years ago

Can someone simplify these for me? I am in desperate need of help. Thank You! [PICS]

Nitella [24]

2\x^-5y this is for the first one
and for the second i do'nt know sorry

4 0

4 years ago

Frank's been traveling a lot lately as part of his job. During the past 30 days, he's been out of town 18 days. What fraction re

siniylev [52]

Answer:

18/30

Step-by-step explanation:

He has been out of town 18 out of the 30 days. You can simplify this to 6/10.

3 0

3 years ago