Answer: 82
Step-by-step explanation:
H=9(-3)^2+1
Simplify both sides of the equation.
h=81+1
81+1 =82
h=82
Csc(x) = 1/sin(x)
sec(x) = 1/cos(x)
cot(x) = [1/sin(x)] / [1/cos(x)]
cot(x) = 1/sin(x) * cos(x)/1
cot(x) = cos(x) / sin(x)
cot(x) = cot(x)
Answer:d=0.8x+1
Step-by-step explanation:
To solve 0.5(2d-6)=0.2(4x-10)
Open the brackets
We get
d-3=0.8x-2
To make d the subject of formular
d=0.8x-2+3
d=0.8x+1
F(x) = 3x² + 6x - 1
The graph is a parabola open upward (a= 3>0) with a minimum.
Calculate the vertex:
x = -b/2a → x = -6/(2.3) = -1. Then the axis of symmetry is x = - 1
Now to calculate the minimum, plugin the value of x:
y = 3x² + 6x - 1
y = 3(-1)² + 6(-1) -1
y= 3 - 6 -1 and y = - 4,
Ten the vertex (minimum) is at (-1,- 4)