Answer:
(x, y) = (-4, -15)
Step-by-step explanation:
Perhaps you want the solution to ...
y = 3/4x -12
y = -4x -31
Equating the two expressions for y gives ...
3/4x -12 = -4x -31
3/4x = -4x -19 . . . . . add 12
3x = -16x -76 . . . . . multiply by 4
19x = -76 . . . . . . . . . add 16x
x = -76/19 = -4 . . . . divide by 19
y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y
The solution to this system of equations is ...
(x, y) = (-4, -15)
The line must be 5000 meters long, to have an area of one square meter
The question is an illustration of area
<h3>What is area?</h3>The area of a shape is the amount of space occupied by the shape.
From the question, we have the following parameters
Convert the unit from mm to m
The area is then calculated as:
This gives
Divide both sides by 0.0002
Hence, the line must be 5000 meters long
Read more about areas at:
x² +y = 0
x³ -12x -y = 0
<h3>Find</h3>the intersection point(s) (x, y)
<h3>Solution</h3>Add the two equations together, then factor.
... (x² +y) + (x³ -12x -y) = 0 + 0
... x³ +x² -12x = 0
... x(x +4)(x -3) = 0
Then x = {0, -4, 3}.
The corresponding y-values are
... y = -x² = {0, -16, -9}
The points of intersection are (-4, -16), (0, 0), (3, -9)
Answer:
The length is
Step-by-step explanation:
we know that
The area of a rectangle is equal to
In this problem we have
convert to an improper fraction
substitute in the formula and solve for L
Convert to mixed number