Answer:
The answer to your question is the letter b) y = -3x + 11
Step-by-step explanation:
Data
Original line y = 1/3x - 2
Point = (3, 2)
New line = ? (perpendicular)
Process
1.- Get the slope of the original line
The slope is the coefficient of the x in the line equation.
y = 1/3x - 2
slope = m = 1/3
2.- Find the slope of the new line
new slope = -3 (because the lines are perpendicular)
3.- Find the equation of the new line
y - y1 = m(x - x1)
x1 = 3 y1 = 2
-Substitution
y - 2 = -3(x - 3)
-Simplification
y - 2 = -3x + 9
y = -3x + 9 + 2
-Result
y = -3x + 11
Answer:
y = 6
x = 3
Step-by-step explanation:
To find y and x on a graph, you must count how many squares one dot intercepts the same line as the other dot (in this case it's three) and for the y axis you do the ssme thing; find out how many squares are between both dots between the point where they intercept each other but for this time, it's vertically (in this case it's 6)
Answer:
-8i
Step-by-step explanation:
To multiply numbers is polar form
z1 = r1 ( cos theta 1 + i sin theta 1)
z2 = r2 ( cos theta 2 + i sin theta 2)
z1*z2 = r1*r2 (cos (theta1+theta2) + i sin (theta1+theta2)
z1 = 2(cos 70° + i sin 70°)
z2 = 4(cos 200+ i sin 200)
z1z2 = 2*4 (cos (70+200) + i sin (70+200)
z1z2 = 8 (cos(270) + i sin (270))
= 8 (0 + i (-1))
=-8i
With what? There is no question
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
x < -1
The solution is the interval ----> (-∞,-1)
All real numbers less than -1
On a number line the solution is the shaded area at the left of x=-1 (open circle)
using a graphing tool
see the attached figure
