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o-na [289]
3 years ago
7

Homework 1 : Points, Lines and Planes

Mathematics
1 answer:
blondinia [14]3 years ago
3 0

Answer:

—Section 1–

a) 5 points. (Points are the dots, there are 5.)

b) 2 lines. (Line a, line b.)

c) Just 1. (that 2D shape in the background.)

d) VWX (V is in the name.)

e) Point W is the intersection. (Both lines meet at that point, they intersect.)

f) YWZ or ZWY both works (Name the line by its points.)

g) XWZ, XWY, ZWV, etc. (Any 3 points that don’t go in a straight line).

h) YWV, ZWV, YXW, etc. (Any 3 points that are within the same plane.)

—Section 2–

a) 9 points.

b) 3 lines.

c) 2 planes.

d) P, N, G / M, N, O / R, N, S

e) N, T, U, P (Any 4 points that don’t belong in a single plane.)

f) O, N, M / M, N, O

g) Point N.

h) Point C.

i) N, M, U

j) Line D.

—Section 3–

a) 8 points.

b) 9 lines.

c) 5 planes.

d) F, H, C.

e) B, E, F.

f) Line AB.

g) Line EF.

h) Point D.

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An airplane has flown 260 miles out of a total trip of 500 miles. What fraction, in simplest form, of the trip had been complete
wolverine [178]
260/500 = 130/250 = 26/50 = 13/25
you put the amount flown over the total amount and then factor from there! i first divided the 260 and 500 by 2 (since both of the numbers are divisible by 2), which gave me 130/250. then divided by 5, and lastly by 2. final answer, reduced completely, is 13/25. hope this helps!
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Missy and Bill were asked to evaluate the expression -3(-2 + 5).
mrs_skeptik [129]

Answer:

-9

Step-by-step explanation:

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Create a graph of the combined function h(x) = f(x) / g(x) in which f(x) = x - 6 and g(x) = x + 6. On your graph, show the graph
Jet001 [13]

Answer:

we have

f(x)=x-6f(x)=x−6 -----> equation A

This is a linear equation with slope m=1m=1 and a y-intercept equal to -6−6

g(x)=x+6g(x)=x+6 -----> equation B

This is a linear equation with slope m=1m=1 and a y-intercept equal to 66

The function f(x) and g(x) are parallel lines

we know that

h(x)=f(x)+g(x)h(x)=f(x)+g(x)

Substitute

h(x)=x-6+x+6h(x)=x−6+x+6

h(x)=2xh(x)=2x

This is a linear equation with slope m=2m=2 that passes through the origin ( represent a direct variation)

Using a graphing tool

see the attached figure

4 0
3 years ago
5. Investment account 1 starts with a balance of $200 and doubles every year. Investment account 2 starts with $1,000 and increa
Mnenie [13.5K]

Answer:

a. Account 1: 1 year Account 2: 10 years

b. Account 1: 2 years Account 2: 30 years

c. The first account grows exponentially, while the second one grows at a linear rate. Therefore, over time the first account tends to surpass the second one in value.

Step-by-step explanation:

The first account can be modeled by using a compounded formula with 100% rating, since it doubles every year. The formula is shown below:

M = C*(1 + r)^t

Where M is the final amount, C is the initial amount, r is the interest rate and t is the elapsed time. If r = 1, then it doubles every year, so we have the following expression for the first account:

M = 200*(2)^t

While the second acount grows at a steady rate of $100, therefore it can be modeled by the initial amount added by the growth rate multiplied by the elapsed time as shown below:

M = 1000 + 100*t

a. The first acount take 1 year to double, since it doubles every year.

In order for the second acount to double it needs to reach M = 2000, so we have:

2000 = 1000 + 100*t

100* t = 2000 - 1000

100*t = 1000

t = 10

It will take 10 years to double.

b. The first account will double again in 1 more year, so 2 years total.

The second account will need to reach M = 4000, therefore:

4000 = 1000 + 100*t

100*t = 4000 - 1000

100*t = 3000

t = 30

It'll take 30 years total for the second account to double again.

c. Since the first account grows exponentially it grows at a faster rate in comparison to the second one that grows linearly over time. Therefore over time the first account tends to surpass the second one in value.

5 0
3 years ago
Given that CB is tangent to A at C, then the value of X is
Marat540 [252]
Well just use the formula a^2+b^2=c^2. C squared in this case will be 30, It does not matter whether 24 is a or b^2 since we are still adding them. Now your equation should look like this

a^2+24=30 then….

a^2=30-24

a^2=6

a=square root of 6

Therefore your radius is square root of 6 or x=square root of 6
3 0
2 years ago
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