Answer:
Side length and perimeter of 1 face
Area of 1 face and surface area
Step-by-step explanation:
Suppose you are given cube with side length of x units.
Then
Side length = x units
Perimeter = 4x units
Area of 1 face
square units
Surface area
square units
Volume
cubic units
A linear relationship is any equation that, when graphed, gives you a straight line.
Consider all options:
A. Side length and perimeter of 1 face is a linear relationship, because the graph of the function
is a straight line.
B. Perimeter of 1 face and area of 1 face is not a linear relationship, because the graph of this relationship is a quadratic parabola with equation
.
C. Surface area and volume is not a linear relationship, because the graph of this relationship is a curve with equation
.
D. Area of 1 face and surface area is a linear relationship, because the graph of the function
is a straight line.
E. Side length and volume is not a linear relationship, because the graph of this relationship is a cubic parabola with equation
.
Answer:
(x+8, y+ -2)
Step-by-step explanation:
Actually, it would be (x+8,y-2) but the written part already has a + soo...
However, if you wish to complete problems like this in the future, pick one corner of the polygon and count how many places you mover right or left (x-axis. Right is going to be addition and left is going to be subtraction) and how many you move down or up (y-axis. up being addition and down being subtraction).
Pi/6 = 180°/6 = 30°
This produces a triangle that has 30-60-90 angles.
Its short leg will measure = y = sinΘ
Its long leg will measure = x = √1-y² = sin(2Θ)
Its hypotenuse will measure = 1
Tangent Θ = opposite / adjacent or short leg / long leg
Tan(pi/6) = 1/3 √3
Answer:
Make an eqaution from here.
Let’s make evening 2 “x”
So the first evening has 9 less then the secon evening so…
x-9
Of course theres the second evening (x).
X-9+x
Then the third evening has 4 times as much as the second meeting so…
x-9+x+4x
And when solved, it has to equal 105.
So solve from here.
Combine like terms.
6x-9=105
Isolate
6x=114
x= 19
First evening is 9 less then 19, so 10.
The second evening was 19 calls.
The third evening was 4 times the second evening so, 19*4= 76
1st night = 10
2nd night= 19 calls
Thrid night= 76 calls