Answer:
x = -3
Step-by-step explanation:
x + 3y = -5
x = -3y - 5
2(-3y - 5) - y = 11
-6y - 10 - y = 11
-7y - 10 = 11
-7y = 21
y = -3
Answer:
In standard form, your answer would be y = -0.5x - 2.5.
Step-by-step explanation:
If you put the points into the formula, (y2-y1)/(x2-x1), then you will be able to find the slope which is -0.5. Then, all that is needed is to find where the line that passes through both points passes through the y axis, which is -2.5.
That will be -5.72 got it? It was good to help :D
Answer:
(4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)
Step-by-step explanation:
Given the rectangular coordinate
(2√3,-2)
x = 2√3
y = 2
For polar coordinate;
x =r cos theta
y = rsin theta
r = √x²+y²
r = √(2√3)²+(-2)²
r = √4(3) + 4
r = √12+4
r = 4
theta = arctan(y/x)
theta = arctan(-2/2√3)
theta = arctan(-1/√3)
theta = -30
theta = 180 - 30
theta = 150degrees
x = 4cos 150
y = 4sin150
The polar coordinate is (4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)
The polar coordinates of the point are
Consecutive integers are 1 apart
so they are n and n+1
the sum is adding them
the sum is 43
n+n+1=43
2n+1=43
minus 1 both sides
2n=42
divide both sides by 2
n=21
n+1=22
the integers are 21 and 22
