MATHEMATICS HIGH SCHOOL

Given the points A(0, 0), B(e, f), C(0, e) and D(f, 0), determine if line segments AB and CD are parallel, perpendicular or neither. a.parallel
b.perpendicular
c.neither

Answers

Answer 1
Answer: The slope:
m = rise / run;
For the line segment AB:
m AB = (y 2 - y 1) /(x 2 - x 1) = ( f - 0 ) / ( e - 0 ) = f / e
For the line segment CD:
m CD = ( 0 - e ) / ( f - 0 ) = - e / f
m CD = - 1 / m AB
Answer:
The lines are  B ) perpendicular 
Answer 2
Answer:

Answer:

b.perpendicular

Step-by-step explanation:

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The______of the rectangular prism is 52 square units because LaTeX: 8+8+6+6+12+12=528+8+6+6+12+12=528+8+6+6+12+12=52.

Answers

I believe its area I'm doing the same thing

Alex determines that there are 5 chocolate candies per cubic inch. If there are 150 chocolate candies in a jar, what is the volume of the jar?

Answers

The answer is 30 cubic inches.

If 5 chocolate candies are in 1 cubic inch, 150 chocolate candies will be in x cubic inches:
5 chocolate candies : 1 cubic inch = 150 chocolate candies : x cubic inches
5 : 1 = 150 : x
5 = 150 : x
x = 150 : 5
x = 30

So, if 150 chocolate candies are in a jar, the volume of the jar is 30 cubic inches.

Answer:

30 in^3

Step-by-step explanation:

Divide 159 by 5. The volume of the jar is 30 in^3

Name the Ray that PQR and SQR share

Answers

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Your office is moving into a new space and you have to decide if you want electric heat or natural gas. you have determined that it will take about 4000 kwh per month to heat the space with electricity and currently your electric company charges $0.075 per kwh. the natural gas provider currently charges $1.85 per therm.the conversions you will need are:1 kwh = 3,413 btu; 100,000 btu = 1 therm.

Answers

electric : 4000 kwh per month......at 0.075 per kwh = 4000 * 0.075 = 300 per month

gas : 1 kwh = 3413 btu.....so 4000 kwh = 4000 * 3413 = 13,652,000 btu.
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Gas would be the better deal....because for electric, u r paying 300 per month and with gas, u r paying 252.56 per month

a six-sided Fair die is rolled and a Fair coin is tossed. if event M represents getting an odd number on the die and event N represents landing tails on the coin, are these two events dependent or independent?

Answers

independent since the coin has no impact on the dice

Answer:

Step-by-step explanation:

Answer 1: The two events are Independent

Answer 2: In the given scenario, P(M and N) = P(M)*P(N)

Please help me with this (and my other questions) thanks

Answers

Answer:

Correct answer: V = 486 π ft³

Step-by-step explanation:

Given:

Diameter of the sphere d = 18 ft

d = 2 · r  where r is radius

r = d / 2 = 18 / 2 = 9 ft

r = 9 ft

V = (2/3) · r³· π

V = (2/3) · 9³ · π = (2/3) · 729 · π = 486 π ft³

V = 486 π ft³

God is with you!!!
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