R = 2 / (1 + sin <span>θ)
Using the following relations:
R = sqrt (x^2 + y^2)
sin </span>θ = y/R
<span>
R = 2 / (1 + y/R)
R</span>(1 + y/R<span>) = 2
</span><span>R + y = 2
R = 2 - y
sqrt(x^2 + y^2) = 2 - y
Squaring both sides:
x^2 + y^2 = (2 - y)^2
x^2 + y^2 = 4 - 4y + y^2
x^2 + 4y - 4
</span>
70% of the people were adults
First you subtract 1500-450 = 1050
Then you divide 1050/1500 = .7
Answer:
x = 3
Step-by-step explanation:
First, distribute 3 into the parenthesis:
3(4 - 2x) = -2x
12 - 6x = -2x
Next, combine your x variables by adding +6x to both side:
12 - 6x = -2x (-6x and +6x cancel out)
+6x +6x
12 = 4x (divide 12 by 4 to get x by itself)
/4 /4
x = 3
Answer:
Step-by-step explanation:
Given
w is the classmate's weight in pounds
h is the height
The general formula for the expression is y = MX+c where
m is the slope
c is the intercept
M is the change in y to change in x
Comparing with the given equation
w = 6.5h - 275, we will see that the slope of the equation is 6.5 and can be expressed as the change in the classmate's height to the classmate's weight
slope = dh/dw = 6.5