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never [62]
3 years ago
13

I need help ASAP it’s due today it would mean a lot if you helped me. I really appreciate it .

Mathematics
1 answer:
Paul [167]3 years ago
5 0

Answer:

1. 5 planes

2. Only one plane

3. Points E,F,C

4. Anywhere on the line of EC (this is not the only answer, but it's correct)

5. Point E

6. Points A, B, C, D are coplanar.

7. Points A, B, C are coplanar, but Points A,B,C,F are not coplanar.

8. Line AB

Explanation:

1. Counting one plane for every facebof the pyramid. The base of the pyramid is the same as Plane N, so we don't include it because it is the same plane.

2. Only one plane can contain the same three unique points.

3. Collinear means they are on the same line.

4. Collinear means they are on the same line.

5. Coplanar means they are on the same plane.

6. Coplanar means they are on the same plane.

7. This one is better explained visually. You can ask me if it doesn't make sense to you though.

8. This one is better explained visually. You can ask me if it doesn't make sense to you though.

I will update this soon

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Answer:

412.3 feet

Step-by-step explanation:

A canoe rental shop is being built near a river. An equation of the line representing the river is y=1/4x+8. Each unit in the coordinate plane corresponds to 100 feet. Approximately how far is the canoe rental shop from the river? Round your answer to the nearest whole foot. The rental shop is at (-3,3).

Solution:

The distance between a point and a line is the perpendicular distance. The perpendicular distance is the shortest distance between the point and the line.

Given a point (x_1,y_1) and a line with the equation Ax + By + C = 0, the perpendicular distance (d) is given as:

d=\frac{|Ax_1+By_1+C|}{\sqrt{A^2+B^2} }

Given the equation of the line y = 1/4 x + 8

y - 1/4 x - 8 = 0

Therefore A = -1/4, B = 1 and C = -8

The point is (-3,3), therefore x_1=-3,y_1=3

d=\frac{|-1/4(-3)+(1*3)+(-8)|}{\sqrt{(-1/4)^2+1^2} }\\\\d=4.123\ unit\\\\but\ 1\ unit=100\ feet\\\\ d=4.123\ unit*1\ feet=412.3\ feet

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Answer/Step-by-step explanation:

✔️Number of Yoga classes = x

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Using the pair form the table of values given, (4, 60), find the constant of proportionality:

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Equation that represents the relationship between x and y is:

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✅When number of yoga classes (x) = 6:

Substitute x = 6 into y = 15x

Thus,

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That is, 6 Yoga classes will cost $90

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y = 15*8 = 30

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Answer:

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