Answer: y=–2x–5
Step-by-step explanation:
The equation of a straight line:
y=mx+c
m must be the same for the two lines to be parallel.
y=mx+c
y=–2x+8 → m=–2
For a new equation:
x=–1, y=–3, m=–2, c=?
y=mx+c → –3=–2×(–1)+c
–3=2+c
c=–5
So:
y=–2x–5
That’s not possible but it added to -2 it would be possible
Answer:
n = 4, m = 1
Step-by-step explanation:
Given the 2 equations
3m + n = 7 → (1)
m + 2n = 9 → (2)
Rearrange (2) expressing m in terms of n, by subtracting 2n from both sides
m = 9 - 2n → (3)
Substitute m = 9 - 2n into (1)
3(9 - 2n) + n = 7 ← distribute left side
27 - 6n + n = 7 ← simplify left side
27 - 5n = 7 ( subtract 27 from both sides )
- 5n = - 20 ( divide both sides by - 5 )
n = 4
Substitute n = 4 into (3) for corresponding value of m
m = 9 - (2 × 4) = 9 - 8 = 1
Thus m = 1 and n = 4
To find the slope you need to find the "rise" and the "run".The rise would be 4 and the run would be 1.Then you need to put the rise over run so your answer should look like this 4/1.
the question in English
Juan has blue cubes with a 55 mm edge and red cubes with a 45 mm edge. He stacks them in two columns, one of each color; he wants the two columns to be the same height. How many cubes does he need, as a minimum, of each color?
Let
x---------> the number of blue cubes
y--------> the number of red cubes
we know that
Juan wants that the two columns to be the same height
so
solve for y
I proceed to calculate a table, assuming values of x to calculate the value of y. When the values of x and y are whole numbers, I will have found the solution.
the table in the attached figure
therefore
<u>the answer is</u>
9 blue cubes
11 red cubes
