The area of a triangle is A = (b*h)/2:
(5 * 8)/2 = 20
Answer: x^2 + y^2 -10y = 0
Step-by-step explanation:
Cartesian coordinates, also called the Rectangular coordinates, isdefined in terms of x and y. So, for the problem θ has to be eliminated or converted using basic foundations that are described by the unit circle and the right triangle trigonometry.
r= 10sin(θ)
Remember that:
x= r × cos(θ)
y= r × sin(θ)
r^2= x^2 + y^2
Multiply both sides of the equation by r. This will give:
r × r = 10r × sin(θ)
r^2 = 10r × sin(θ)
x^2 + y^2= 10r × sin(θ)
Because y= r × sin(θ), we can make a substitution. This will be:
x^2 + y^2= 10y
x^2 + y^2 -10y = 0
The above equation is the Rectangular coordinate equivalent to the given equation.
Answer:
-1
Step-by-step explanation:
read warriors
by eren hunter.
f(x) = x² + 7
g(x) = -3x + 1
h(x) = 12/x
j(x) = 2x + 9
a. g(10) = -3(10) + 1 = -20
b. f(3) = 3² + 7 = 9 + 7 = 16
c. h(-2) = 12/(-2) = -6
d. j(7) = 2(7) + 9 = 23
e. h(a) = 12/a
f. g(b+c) = -3(b+c) + 1 = -3b - 3c + 1
g. f(h(x)) = f(12/x) = (12/x)² + 7 = 7 + 144/x²
h. 16 = g(x) = -3x + 1, -3x = 15, x = -5
i. -2 = h(x) = 12/x, x = 12/(-2), x = -6
j. 23 = f(x) = x²+7, 16=x², x=±4
