Answer:
Therefore
15.
16.
17.
Step-by-step explanation:
15.
Using the Identity (a + b)(a - b) = (a² - b²) we get
Consider here a = 5c and b = 3 then we will have
.....as required
16.
Here Factorize 8 such that sum up to be 9
∴ 8 × 1 = 8 and 8 + 1 =9
... as required
17.
Here Factorize 21 such that sum up to be -10
∴ -3 × -7 = + 21 and -3 - 7 = - 10
........as required
Therefore
15.
16.
17.
Answer:
The answer is 1
Step-by-step explanation:
Any number to the power of 0 is 1
Answer:
1: 500
2: 50
3: 7.5
Step-by-step explanation:
Answer:
A. 
and 
Step-by-step explanation:
Given:
Vertices of triangle RST are 
and 
.
Rotation is 90° about the center O(0,0). The rotation is counter-clockwise as the angle of rotation is positive.
Now, the co-ordinate rule for 90° rotation counter-clockwise is given as:
→ 
and 
values interchange their places with becoming negative when interchanged.
So, 
→ 
→ 
→ 
⇒ → 
Therefore, the image of the vertices are and .
To solve the question we use the following analogy:
Given that the odds of winning is a/b, then the probability is b/(a+b)
hence to solve the question we proceed as follows:
a]
P(E)=11/36
odds against E=(36-11)/11
simplifying this gives us:
25/11
b] P(E)=31/36
odds against E=(36-31)/31
simplifying this we get:
5/31
hence odds in favor of E=31/5
c]P(E)=32/36
odds in favor of E will be:
36/(36-32)
simplifying the above we get:
36/4
=9/1
d]
P(E)=30/36
odds against E will be:
(36-30)/36
simplifying this we obtain:
6/36
=1/5
e] P(E)=13/36
odds against E will be:
(36-13)/13
simplifying this we obtain:
23/13
