Answer:68/41 + 3/41 i
Step-by-step explanation:
The parallel line:
y = mx + c
y = 5/7x + 7
Gradient of parallel line = 5/7
y = mx + c
y = 5/7x + c
-2 = (5/7 x -5) + c
-2 = -25/7 + c
-2 + 25/7 = c
c = 11/7
y = 5/7x + 11/7
The perpendicular line
y = mx + c
y = 5/7x + c
m = 5/7
Gradient of perpendicular line = -1/(5/7) = -7/5
y = mx + c
y = -7/5x + c
-2 = (-7/5 x -5) + c
-2 = 7 + c
-2 - 7 = c
c = -9
y = -7/5x - 9
First go to the y intercept (or the b in y=mx+b) look for the slope and plot the points on the graph they're talking about e.g. #23 the y-intercept is 6 go to the 6 on the y axis, and then look at the slope (x), so it goes up and over to the right since it's positive by 1
Answer:
r=3
Step-by-step explanation:
Simplify the expression
16-2r=3r+1
isolate r by adding 2r to both sides
16=5r+1
isolate the numbers by subtracting 1 from both sides
15=5r
divide both sides by 5 to completely isolate r
r=3
Answer: 15x² + 2x + 4
x = -2/3, 0, 1/2
Step-by-step explanation:
5x(3x + 2) - 4(2x - 1)
First, distribute:
15x² + 10x - 8x + 4
Combine like terms:
15x² + 2x + 4
This is your polynomial!
If you needed to solve for x, take your original factored polynomial and set each term equal to 0:
5x(3x + 2) - 4(2x - 1)
5x = 0
x = 0
3x + 2 = 0
3x = -2
x = -2/3
-4 = 0
No solution
2x - 1 = 0
2x = 1
x = 1/2
x = -2/3, 0, 1/2
Hope this helps!
