Answer:
And then the rectangular coordinates for this case are :

Step-by-step explanation:
We have the following point given
and we want to conver from polar to rectangular coordinates and we need to use the following formulas:


For this case we have that:
And:

Replacing we got:
And then the rectangular coordinates for this case are :

Answer:
A. A straight line can be drawn through all the points and the line passes through the point (0,0) .
Step-by-step explanation:
See comment for options
Given
A graph with proportional relationship
Required
Which of options (a to d) describes the graph
A graph with a proportional relationship is represented as:
and
is a paired point on the graph
This implies that options (b) and (c) are not true
Option (d) is also incorrect because if the graph does not pass through all points, then it is not proportional.
<em>Hence, (a) is correct</em>
Answer:
1. c; 2. d
Step-by-step explanation:
1. 2*3 = 6
2. (1.43*1000)p + (2.2*1000) = (-4.001*1000)
The values of x are 2 and -1.
Solving the equation created by substitution listed in the question:
-2x+14=x²-3x+12
Add 2x to both sides:
-2x+14+2x=x²-3x+12+2x
14=x²-1x+12
Subtract 14 from both sides:
14-14=x²-1x+12-14
0=x²-1x-2
Factoring this, we want factors of -2 that sum to -1; -2(1) = -2 and -2+1=-1:
0=(x-2)(x+1)
Using the zero product property, we know that either x-2=0 or x+1=0:
x-2=0
x-2+2=0+2
x=2
x+1=0
x+1-1=0-1
x=-1