Answer:
The slope is 1/3
Step-by-step explanation:
Take 2 points on the line, lets use (0,50) and (30,60)
x1 y1 x2 y2
Use slope formula:
y2 - y1 / x2 - x1
60 - 50 / 30 - 0
10 / 30
which can be simplified to:
1/3
Answer:
Step-by-step explanation:
In each case we find the discriminant b^2 - 4ac.
If the discriminant is negative, we have two unequal, complex roots.
If the discriminant is zero. we have two equal, real roots.
If the discriminant is positive, we have two unequal real roots.
#51: 8v^2 - 12v + 9: the discriminant is (-12)^2 - 4(8)(9) = -144. we have two unequal, complex roots
#52: (-11)^2 - 4(4)(-14) = 121 + 224 = 345. we have two unequal real roots.
#53: (-5)^2 - 4(7)(6) = 25 - 168 (negative). we have two unequal, complex roots.
#54: (4)^2 - 16 = 0. We have two equal, real roots.
Answer: y=5x+3
Step by step explanation:
Perpendicular meaning that the product of the slope/gradient is -1 hence ...
-1/5 * x = -1
x = -1/-1/5
x = 5
The equation perpendicular to y=-1/5x-3 is y=5x-c
Now it contains the points (1,2)
x variable is 1 and y variable is 2 plug them into the line equation
2=5(1)-c
2=5-c
2-5=-c
-3=-c divide by -1
3=c
Hence the perpendicular equation is y=5x+3
Hopefully it’s correct :)
Substitution or elimination
15-27b+11=-244
26-27b=-244
-27b=-270
b=10
