Answer:
3x+5y+12=0
Step-by-step explanation:
This information is given in the question:
m=-3/5
x1=-4
y1=0
The formula for the equation of a line is:
y-y1=m (x-x1)
From this we can make a substitution
y-0=-3/5 (x--4)
Next simplify
y=-3/5 (x+4)
Multiply both sides of the equation by 5
5y=-3x-12
Make the right side of the equation equal to zero
3x+5y+12=0
This is the equation of the line in general form.
The perimeter of the school crossing sign is 102 inches
length of each side = ?
in the question number of sides is not mentioned, so the answer may vary for the length of each side. if there is 5 sides divide 102 by 5, we get 20.4 answer so in case of 5 sides length of each side is 20.4 inches. if there is 4 sides divide 102 by 4 and we get 25.5 inches answer for the legnth each side.
Answer:
2×sqrt(2) = 2.828427125...
Step-by-step explanation:
x = "a positive number"
x + 56/x = x³
x² + 56 = x⁴
x⁴ - x² - 56 = 0
(x² + 7)(x² - 8) = 0
this is true only for
x² = -7
or
x² = 8
x² = -7 would mean that x is an imaginary number. so, that is not a valid solution here.
x² = 8 means
x = sqrt(8) = sqrt(4×2) = 2×sqrt(2) = 2.828427125...
Answer:

Step-by-step explanation:
Since the vertex is right between the vertex and the directrix, the y value of the vertex must be (3+(-1))/2=1. The x coordinate will just be the same as that of the focus, or in this case 0. This means that the vertex will be at (0,1). Since the graph opens toward the focus, it will be opening up, and since its vertex is at (0,1), it will have an equation of:

Hope this helps!
Answer:
He needs to learn the disciplinary principal
Step-by-step explanation: