To convert from rectangular coordinates (x,y) to polar coordinates (r, θ), the following equations should be used:
r = sqrt( x^2 + y^2)
<span>θ = tan^-1 (y/x)
</span>
Substituting (-3,3) accordingly to the equations, we obtain r equal to 3*sqrt(2) and θ equal to -π/4. Thus, the polar coordinates equivalent to (-3,3) is (3*sqrt(2), -π/4).
Answer: the correct answer is 20
Step-by-step explanation:
The formula for determining the distance between two points on a straight line is expressed as
Distance = √(x2 - x1)² + (y2 - y1)²
Where
x2 represents final value of x on the horizontal axis
x1 represents initial value of x on the horizontal axis.
y2 represents final value of y on the vertical axis.
y1 represents initial value of y on the vertical axis.
From the graph given,
x2 = - 7
x1 = 5
y2 = - 7
y1 = 9
Therefore,
Distance = √(- 7 - 5)² + (- 7 - 9)²
Distance = √(- 12²) + (- 16)²
= √(144 + 256) = √400
Distance = 20
Answer:
The answer would be 8
Step-by-step explanation:
This equals 10-2=8
Answer:
The number of packages of flour tortillas is a 9 multiple.
Step-by-step explanation:
Given there are only packages of flour tortillas and packages of corn tortillas on the shelf.
Let the number of flour tortillas be x and the number of corn tortillas be y
therefore the total number of packages are x+y.
Given the ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16.
which means 
since both x and y are integers y is in the form of 7k where k∈N.
Therefore x is a 9 multiple.
Answer:
1. Yes
2. No
3. 1
4. 8
Step-by-step explanation:
