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Valentin [98]
3 years ago
12

How many unique planes can be determined by four noncoplanar points?

Mathematics
1 answer:
marta [7]3 years ago
3 0

Answer:

Four unique planes

Step-by-step explanation:

Given that the points are non co-planar, triangular planes can be formed by the joining of three points

The points will therefore appear to be at the corners of a triangular pyramid or tetrahedron such that together the four points will form a three dimensional figure bounded by triangular planes

The number of triangular planes that can therefore be formed is given by the combination of four objects taking three at a time as follows;

₄C₃ = 4!/(3!×(4-3)! = 4

Which gives four possible unique planes.

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Janet’s car insurance payment decreases by $20 each year. Which expressions represent the total change in her payment,in dollars
Liono4ka [1.6K]

Answer:

Option C is the correct answer.

C.  5•(-20)

Step-by-step explanation:

We are told that the insurance payment for the car follows a certain pattern that can be represented through an expression. The payment is decreasing by $20 every year. As we don't know the total payment amount per period, so we cannot calculate how much is paid per period/year for insurance but we can calculate the rate at which this payment is decreasing.

Change in payment = t * (-20)

The above expressions can be used to calculate the amount of change in payment i payment is decreasing by a constant $20 every year, after t years.

So, if we want to calculate the change in payment after say 5 years, we can replace t with 5 in the equation and calculate the change,

Change in payment = 5 * (-20)

Change in payment = - $100

4 0
3 years ago
What is the equation of the line that goes through the points (-5,-1) and (5,5)?
Margaret [11]

Answer:

y = 3/5 x + 2.

Step-by-step explanation:

Use the point-slope equation of a straight line:

y - y1 = m (x - x1) where m = the slope amd (x1, y1) is a point on the line.

Here:

m = (5- (-1)) / (5 - (-5))

= 6/10

= 3/5.

Substituting for m and  (5, 5):

y - 5 = 3/5(x - 5)

y - 5 = 3/5x - 3

y = 3/5 x + 2.

3 0
3 years ago
The record holder in eating chocolate ate 31.5 ounces of Chicago Chocolate Hearts in 7 minutes. How much chocolate did he eat pe
sasho [114]

Answer:

Step-by-step explanation:

This is a unit rate problem.  If we want to find out how much chocolate was eaten in 1 minute, we divide 31.5 by 7.  This gives us the number of ounces of chocolate eaten in 1 minute: 4.5 ounces per minute.

7 0
3 years ago
Read 2 more answers
What's 4.50+4.50+2.39+2.39+1.99? What's the answer minus 25?? pls halp meh '-'
Anna [14]
4.50+4.50=9.00=9
+
2.39+2.39=4.78
+
1.99
=
15.77

15.77-25=-9.23
7 0
3 years ago
In the sophomore class at Dixon high school the number of students taking French is 2/3 of the number taking Spanish. How many s
Elan Coil [88]
I think it's 104. something
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3 years ago
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