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Vika [28.1K]
3 years ago
12

Answer the problem and show all work.

Mathematics
1 answer:
marishachu [46]3 years ago
8 0

Member Price = 30 + 3x

Non-member Price = 6x

x = the tickets they buy.

We want 30 + 3x = 6x

So, first we subtract 3x from each side and are left with:

30 = 3x

Then, divide each side by 3.

10 = x

So, the cost of 10 tickets is the same more non-members and members.

We can also check it:

Member Price: 30 + 3(10)

30 + 30 = 60

Non-member Price: 6(10)

60

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weqwewe [10]
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Line segment GH is divided by point J in the ratio of 1:4. Endpoint G is at (7,5) and point J is at (10, 14).
wlad13 [49]

Answer:

(x2 , y2) = (22,50)

Step-by-step explanation:

Given:

m1 : m2 = 1:4

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Find:

(x2 , y2)

Computation:

X = (m1x2 + m2x1) / (m1+m2)

10 = [(1)(x2) + (4)(7)]/(1+4)

10 = [x2 + 28]/5

22 = x2

Y = (m1y2 + m2y1) / (m1+m2)

14 = [(1)(y2) + (4)(5)]/(1+4)

14 = [y2 + 20]/5

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7 0
3 years ago
Show how to solve the following; answer must be with fractions and pi
Bess [88]

Answer:

3pi/4 and -pi/4

Step-by-step explanation:

We can simplify -6/6 to -1.

Therefore, this function can be simplified to arctan(-1).

Recall that the meaning of arctan is to find a value that will get the value inside the parenthesis when taken the tangent of it. In other words, tan(x) = -1.

Recall that tan(x) = sin(x)/cos(x). Now recall that sin(pi/4) and cos(pi/4) are both sqrt(2)/2, meaning that tan(pi/4) is 1. To make it -1, we can either make sin(x) -1 while keeping cos(x) 1, or the other way around.

If x is -pi/4, cos(x) will still be 1, but sin(x) will be -1, so tan(-pi/4) will be -1.

If x is 3pi/4, cos(x) will be -1, but sin(x) will still be 1, so tan(3pi/4) will be -1.

Side note: there are still infinite more answers. You can attain them by adding or subtracting 2pi as many times as you want from 3pi/4 or -pi/4 and still get an arctan of -1.

3 0
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Answer:

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