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Katen [24]
3 years ago
6

The coordinates of the 3 of the vértices of a parallelogram are (-7, 3), (-6, 1), and (-4, 5). What is the equation for the line

containing the side opposite the side containing the first two vertices?
Mathematics
1 answer:
Natali [406]3 years ago
6 0

We know, opposite sides are parallelogram is parallel, therefore slopes are equal.

Slope of line one :

m=\dfrac{-7-(-6)}{3-1}\\\\m =\dfrac{-1}{2}\\\\m= -0.5

So, equation of other line passing through (-4,5) and have slope of -0.5 is :

y-5 = -0.5( x-(-4))

y-5 = -0.5x - 2

y  + 1/2x = 3

2y + x = 6

Therefore, equation of line containing the (-4, 5) is 2y + x = 6.

Hence, this is the required solution.

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A scientist uses 3/4 of an ounce of sulfuric acid each day. How many days does it take him to empty a jar, if each jar contains
Basile [38]

Answer:

32 days

Step-by-step explanation:

Assume that the jar is full initially, containing 24 oz.  After how many withdrawals of 3/4 oz will the jar be empty?

24 - (3/4)n = 0, or

24 = (3/4)n, or 96 = 3n.  Dividing both sides by 3, we get n = 32.

The jar will be empty after 32 days.

6 0
3 years ago
If a is an integer and n is a positive integer, we define a mod n to be the remainder when a is divided by n. The integer n is c
dezoksy [38]

Answer:

Divisor

Step-by-step explanation:

Given

a\ mod\ n

Required

What does n represents

In arithmetic, the number that divides another is referred to as divisor;

Take for instance;

5\ mod\ 3 = 2

This implies that when 5 is divided by 3, the remainder is 2

The bold text (divided by 3) means that 3 is the divisor of 5;

When compared to a\ mod\ n

We have that

n = 3

<em>Reason being that, n and 3 are in the same position base on order of appearance;</em>

Hence, n represents the divisor

4 0
3 years ago
Miriam is picking out some movies to rent, and she is primarily interested in comedies and foreign films. She has narrowed down
Keith_Richards [23]

Answer:

There are 795 combinations.

Step-by-step explanation:

The number of ways or combinations in which we can select k element from a group of n elements is given by:

nCk=\frac{n!}{k!(n-k)!}

So, if Miriam want to choose 3 movies with at least two comedies, she have two options: Choose 2 comedies and 1 foreign film or choose 3 comedies.

Then, the number of combinations for every case are:

1. Choose 2 Comedies from the 10 and choose 1 foreign film from 15. This is calculated as:

10C2*15C1=\frac{10!}{2!(10-8)!}*\frac{15}{1!(15-14)!}

10C2*15C1=675

2. Choose 3 Comedies from the 10. This is calculated as:

10C3=\frac{10!}{3!(10-3)!}=120

Therefore, there are 795 combinations and it is calculated as:

675 + 120 = 795

8 0
3 years ago
PLEASE SOMEONE HELP ME
kow [346]

Answer:

1/5 is not greater than 2/7 because 1/5 = 7/35 and 2/7 = 10/35.

7 0
3 years ago
Read 2 more answers
Help me please i need help on my maths hw people
Nookie1986 [14]
65-14=65-5-x
x=9

Explanation=
65-14=65-5-x
51=60-x
-9=-x
9=x
6 0
3 years ago
Read 2 more answers
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