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kirza4 [7]
3 years ago
10

Find equations of the line that is parallel to the z-axis and passes through the midpoint between the two points (0, −4, 9) and

(−8, 5, 1). (Enter your answers as a comma-separated list of equations.) x=−8, y=5+9t, z=1−8t
Mathematics
1 answer:
Lorico [155]3 years ago
7 0

Answer: x = -4, y = 0.5, z = 5 +t

Hi!

The line L whose direction is parallel to vector V a passes through point A

is parametrized

P_L = Vt + A

Where t, is a real number, and P_L is a any point on line L.

In this case the direction is that of the z-axis , so V = (0, 0, 1)

A is the midpoint between points B = (0, -4, 9) and C=(-8, 5, 1)

The midpoint is A = (B + C)/2 = (-4, 0.5, 5)

Then the line is:

P_L = (0,0,1) t + (-4, 0.5, 5)

The equations for each coordinate are:

x = -4\\y = 0.5\\z = 5 + t

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Answer:

Step-by-step explanation:

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3 years ago
Ms. Thomas is taking her friends to see a comedy show. The parking fee was $ 35 and the cost of each ticket for the show was $ 4
pychu [463]

1. An expression that will represent the amount of money that Ms. Thomas will spend is <u>p + 45n - c.</u>

2. The amount of money that Ms. Thomas will spend on the comedy tickets for herself and her 2 friends is <u>$155</u>.

<h3>What is a mathematical expression?</h3>

A mathematical expression is a statement that involves two or more variables that require some mathematical operations.

Most commonly, a mathematical expression contains numbers, variables, and operators, which show a value after the mathematical operations.

<h3>Data and Calculations:</h3>

Parking fee = $35

Ticket fee per person = $45

The number of people on the show = 3 (Ms. Thomas and her two friends)

Coupon = $15

Amount of money spent = p + 45n - c

where p = parking fee, n = number of visitors, and c = coupon received.

= 35 + 45 x 3 - 15

= $155

Learn more about mathematical expressions at brainly.com/question/1852123

#SPJ1

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1 year ago
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The correct answer is B) -3

I am 100% positive

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Show the work please
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Answer: x = 9/2

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