Answer:
width = x+2
Step-by-step explanation:
area/length = width
(x^2+9x+14) / (x+7) =?
(x+7)(x+2) / (x+7) = x+2
Answer:
The next number is going to be 21
Looks like you've got 3 lines that are all parallel with one transversal diagonally running down the middle.
Since all of the other lines are parallel to one another, there are only two different angle combinations to be made by the transversal and one of the other lines, one of which being the given 60º angle.
The other one is found by subtracting that from 180 since a straight angle measures 180º.
180 - 60 = 120
The smaller ones are always 60º, and the larger ones are always 120º.
That means that a = 60, b = 60, and d = 60
It also means that c = 120 and e = 120.
Hope this helps!
4m + 5
Remove the parenthesis and collect like terms
3m + m + 5 = (3m + m) + 5 = 4m + 5
Answer:
a vertical shift of f, c units down
Step-by-step explanation:
Given:
- A function h(x) is defined as:
h(x) = f(x) − c
Find:
- The effect of "c" on the f(x) function.
Solution:
- The effect of adding or subtracting any constant to or from a given function f(x) shifts the f(x) value for all values of x by an amount "c"
- This effect can be modeled on a graph by a "vertical shift" i.e there is an increase/decrease in every "y" value by amount "c" units.
- In the case given we see that "c" units have been subtracted from original f(x).
- Meaning, all f(x) values have decreased for every value of x. This can be categorized as vertical shift of f(x) with "c" units down.