The equation of the line that contains (−6, 19) and (−15, 28), in standard form, is: x + y = 13
<em><u>Recall:</u></em>
- Equation of a line can be written in standard from as Ax + By = C, where Ax and By are all terms of variable x and y, and C is a constant.
- The equation of a line in point-slope,
, can be rewritten in the standard form.
- Slope (m) =
Given: (−6, 19) and (−15, 28)
<em>Find the </em><em>slope </em><em>(m):</em>
<em />
Write the equation in point-slope form by substituting m = -1 and 
into .
Therefore, the equation of the line that contains (−6, 19) and (−15, 28), in standard form, is: x + y = 13
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Answer:
Step-by-step explanation:
Perimeter 4L = 28
Area L^2 = 49
Answer: 89 students remained at school that day.
Step-by-step explanation: If there are 104 students, and 15 are absent, you subtract, therefore, the answer is 89.
Answer:
John is 17,
Susan is 14,
and Khalid is 9.
Step-by-step explanation:
a = John's age
b = Susan's age
c = Khalid's age
Let's set our rules from the given information.
a = b + 3
c = b - 5
a + b + c = 40
Now, we can solve for b through substitution.
(b + 3) + b + (b - 5) = 40
3b - 2 = 40
3b = 42
b = 14
So, now that we have Susan's age, we can follow the rules and see if it holds.
17 + 14 + 9 = 40 Viola!
Since there are more parakeets than canaries, it is not possible to have only 1 of each bird in each cage <u>and</u> have the same number of birds in each cage.
He could use 42 cages, putting a canary in with the parakeet in 18 of them. Then he would have 18 cages with 2 birds each, and 24 cages with 1 bird each.
The only way to have the same number of birds (1) in all cages is to have 60 cages, 42 of which have 1 parakeet, and 18 of which have 1 canary.
_____
If more than 1 of each kind of bird can be put in the cage, the collection of birds could be put into 6 cages, each of which would be home to 7 parakeets and 3 canaries.
