When you multiply 5 by 1 you get 5. When you multiply 5 by 2 you get 10. If you keep doing this, you get a list of multiples of 5.
5
10
15
20
25
30
35
40
45
50
All of these numbers end in either 5 or 0. We can do the same with 2's and 10's.
2
4
6
8
10
12
14
16
18
20
For all 2's we can see that they are all even and end with an even number (0,2,4,6,8)
10
20
30
40
50
60
70
80
90
100
For 10's we can see that they all end in 0.
Answer:
A, C, D, E
Step-by-step explanation:
According to the rational root theorem, any rational roots will be of the form ...
±(divisor of the constant)/(divisor of the leading coefficient)
The constant is 8, and its divisors are 1, 2, 4, 8.
The leading coefficient is 6, and its divisors are 1, 2, 3, 6.
So, no rational root will have 3 in the numerator, eliminating choices B and F. The remaining choices are possible rational roots:
Answer: y = 1/2x + 3
Step-by-step explanation:
Use the equation y=mx +b
Find the slope (m) of the line by finding the difference in y over the difference in x. Or "rise over run".
The y-intercept (b) is 3 (when x is zero, it is y).
Answer:
Step-by-step explanation:
Because ABCD is a rectangle, the length of CD is 12 cm.
We need to determine the length of DE. If we can do that, then the sum of the lengths of CD and DE represents the unknown: the length of CE.
To find the length of CE, we have to "solve" the upper triangle.
Here's an outline of what to do:
1. Show that BC=AD and find the length.
2. Note that angle CAD is 60 degrees. Why?
3. Note that angle EAD is 30 degrees. Why?
4. Find the length of ED
5. Add ED and DC, that is, ED + 12 cm. This is your answer.
Please ask questions if need be.