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Lesechka [4]
3 years ago
6

If you know a point on a line and you know the equation of a line parallel to this line, explain how to write the line’s equatio

n.
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
3 0

Answer:

For the given question,the equation of the asked line would be same as that of the line parallel to it but the only difference would be in the constant part.

Step-by-step explanation:

the equtions of the lines (variable parts) would be the same but the constant part will be different according to the point known on the particular line.

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The sum of three consecutive odd numbers is less than or equal to 33. Write an inequality and solve to determine the maximum val
Dmitry [639]

Answer:

9

Step-by-step explanation:

If first odd number is x

THen next consecutive odd number is x + 2

Next one is x + 4

Now, we can write the word problem as:

x+x+2+x+4 \leq 33

Now we solve:

x+x+2+x+4 \leq 33\\3x+6 \leq 33\\3x \leq 27\\x \leq 9

So, x is less than or equal to 9, so it can be

9, 7, 5 .....

What is the maximum value of the lowest number (x)?? It is 9

5 0
3 years ago
Ms. Ironperson and Mr. Thoro are making Avenger posters to give children when they visit Avenger Academy. Ms. Ironperson has com
nekit [7.7K]

Answer:

1) When this does happen, how many posters will each Avenger have completed?

24 posters each.

2) If x denotes the number of days and y denotes the number of posters, what are the equations needed to solve this problem?

y = 12 + 6x.......... Equation 1

y = 12x .......... Equation 2

Step-by-step explanation:

1) When this does happen, how many posters will each Avenger have completed?

We are told in the question:

Number of days = x

Number of posters = y

Ms. Ironperson has completed 12 posters and will complete 6 more per day.

y = 12 + 6x.......... Equation 1

Mr. Thoro has not started yet but can make 12 per day.

y = 12x................Equation 2

Hence, the equations needed to solve this problem:

y = 12 + 6x.......... Equation 1

y = 12x .......... Equation 2

We substitute 12x for y in equation 1

y = 12 + 6x.......... Equation 1

12x = 12 + 6x

Collect like terms

12x - 6x = 12

6x = 12

x = 12/6

x = 2

Hence, since x = the number of days,

The number of days = 2 days

Substitute 2 for x in Equation 2

y = 12x .......... Equation 2

y = 12 × 2

y = 24 posters.

Since y = number of posters,

number of posters = 24 posters.

We were told in the question that, when Mr Thoro catches up with Ms Ironperson, that would both have completed the same number of posters.

Hence, both Avengers would have completed 12 posters each.

7 0
3 years ago
A landscape architecture submitted a design for a triangle- shaped flower garden with the side lengths of 21 ft, 37 ft, and 15 f
Alekssandra [29.7K]
Those lengths will NOT form a triangle. 
According to the triangle inequality theorem, the longest side has to be LESS than the sum of the other 2 sides.


4 0
3 years ago
Add -4 + (-15).<br><br> -11<br> 19<br> -19<br> 11
chubhunter [2.5K]

Step-by-step explanation:

-4+(-15)

=(-19)

I think it helps you

8 0
3 years ago
Help me with this!!!
lilavasa [31]

Answer:

4th answer

Step-by-step explanation:

g(h(x)) means to put the formula for h(x) into the formula for g(  ).

g(h(x))=g(2x-2)=-3(2x-2)^3-2(2x-2)^2\\=-3(8x^3-24x^2+24x-8)-2(4x^2-8x+4)\\=-24x^3+72x^2-72x+24-8x^2+16x-8\\=-24x^3+64x^2-56x+16

Cubing the binomial 2x - 2 can take some time!

6 0
3 years ago
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