No solutions- equations never intersect (parallel lines)
Explanation:
First, let's convert our second equation into slope-intercept form
y
=
m
x
+
b
Let's subtract
2
x
from both sides to get
−
y
=
−
2
x
+
2
Next, divide all terms by
−
1
to get
y
=
2
x
−
2
We see that our slope, the coefficient on the
x
term, is
2
. This equation has the same slope as the first.
It is important to realize that when two lines have the same slope, it means they are parallel. This means they never intersect.
Since they never intersect, it means this system has no solution.
Hope this helps!
To find slope, use the equation:
(y₂ - y₁)/(x₂ - x₁) = slope
Let:
(8,8) = (x₂, y₂)
(5,5) = (x₁, y₁)
Plug numbers into corresponding areas.
(8 - 5)/(8-5) = 3/3
3/3 = 1
The slope of the line is 1, or 1/1 (rise 1, run 1)
hope this helps
Answer:
x= 1.6 degrees
Step-by-step explanation:
to find the missing angle 180 degrees - 151 degrees
29° is the missing angle at the bottom ryt of the triangle.
all angles in triangle add upto 180°
so, 20x-3°+11x-1°+29°= 180°
31x=180°-25°
x= 1.6°
Answer:
1885 flowers
Step-by-step explanation:
Given that:
Radius, r of circle = 100 feets
The Circumference of the circke is thus ; 2πr
C = 2 * π * 100
C = 628.31853 feets
Converting feets to inches
1 foot = 12 inches
628.31853 feets = 628.31853 * 12 = 7539.8223 inches
If flowers are spaced at 4 inches :
Number of flowers that can be planted :
Circumference of circle / spacing
7539.8223 / 4
= 1884.9555 flowers
= 1885 flowers
Simplifying that would be 3 * (-7) -10+25 = -6. Combining like terms will get us to -21 +15 = -6, going further will be -6 = -6. Remember Order of Operations. Since -6 = -6, the equation is true.