Equation of the horizontal line through (7 , -5)
Horizontal line is a slope of 0, so y=constant.
Answer: y = -5
Slope -2 through (-4 , -5)
Point slope form of line slope m thru (a,b) is y-b = m(x-a)
y - -5 = -2 (x - -4)
y + 5 = -2x - 8
Answer: y = -2x - 13
check: slope is right, -2(-4) - 13 = 8 - 13 = -5, good
The magnitude is given by:
lvl = root ((- root (7) / 9) ^ 2 + (- root (2) / 3) ^ 2)
lvl = 0.555555556
The address is given by:
cos (theta) = (- root (7) / 9) / (0.555555556)
Clearing theta:
theta = acos ((- root (7) / 9) / (0.555555556))
theta = 121.95 degrees
Answer:
The magnitude and direction (in degrees) of the vector are:
lvl = 0.555555556
theta = 121.95 degrees
Step-by-step explanation:
A transformation may be defined as taking a basic function and then changing it slightly with the predetermined methods. This changes will cause the required graph of that function to shift, move or stretch, which depends on the type of the transformation.
For example:
Let a function be : 
For any constants m and n, the function
shifts the parent function.
- vertically n units and in same direction of the sign of n.
- horizontally m units and towards the opposite direction of the sign of m.
- The y-intercept becomes (
)
- The horizontal asymptote becomes y = n.
- the reflection about x -axis becomes 
Answer:
Below
Step-by-step explanation:
Use the formula 2πr^2 + 2πrh to find the Surface area of a cylinder
A = 2π(11)^2 + 2π(11)(11)
= 1520.53084....
Rounding to the nearest 10th
= 1520.5 in^2
Hope this helps!
Answer:
<em>Set the function equal to 0</em>
Step-by-step explanation:
<u>Standard Form of the Quadratic Equation</u>
The form

is called the standard form of a quadratic equation. It can be clearly identified the terms of a second-degree polynomial equated to 0.
The equation is given in the form:

And we need to operate the expression to make it look like a standard form. The first logical step should be to set the function equal to 0 and then start to operate the resulting expression. It can be done by subtracting 8 on both sides of the equation:

Answer: Set the function equal to 0