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Jobisdone [24]
3 years ago
10

Find parametric equations for the line through the point (0, 2, 2) that is parallel to the plane x + y + z = 4 and perpendicular

to the line x = 1 + t, y = 2 − t, z = 2t.
Mathematics
1 answer:
Oxana [17]3 years ago
5 0

Answer: X = 3t, Y =2 - t, Z =2

Step-by-step explanation: the plane

x + y + z =4has normal vector

M =<1,1,1> and the line

x = 1 + t, y = 2 − t, z = 2t has direction

v =<1, −1, 2>. So the vector

A= n × v

=<1, 1, 1> × <1, −1, 2>

=<2−(−1),1−2,−1−1>

=<3,−1,−2>

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3 years ago
The sum of two numbers is 33.the larger number is 3 more than two times the smaller number.what are the numbers?
e-lub [12.9K]

Answer: The numbers are 10 and 23

Step-by-step explanation:

Let the smaller number be x

And the larger number be y

Ist sentence;

1. The sum of two numbers is 33.

X + y= 33 .........eqn 1

2. second sentence

the larger number is 3 more than two times the smaller number.

Y = 3 +2x

Put y into eqn 1

X+ 3 +2x = 33

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8 0
3 years ago
Ln(x+7)=3<br> This is part of a webquest any help would be nice.
Assoli18 [71]

ln(x−7)==4/3

To solve for x, rewrite the equation using properties of logarithms.

e^ln(x−7) =e^4/3

Solve for x

x=e^4/3 + 7

The result can be shown in multiple forms.

Exact Form:

x= e^4/3+7

Decimal Form:

x=10.79366789

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Answer:

gradient = - \frac{3}{4} , y- intercept = \frac{5}{4}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

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3 0
3 years ago
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