Answer:
-4w^2- 8w
Step-by-step explanation:
-4w(w+2), use distributive property, (-4w x w)+(-4w x 2)= (-4w^2)+-8w
Note: Consider we need to find the value of M if 
Given:
In a right triangle ABC,
To find:
The value of M.
Solution:
We have,
It can be rewritten as:
![[\because \sin (90^\circ-\theta)=\sin \theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csin%20%2890%5E%5Ccirc-%5Ctheta%29%3D%5Csin%20%5Ctheta%5D)
On comparing both sides, we get
Therefore, the value of M is 29 degrees.
Answer: 80
Step-by-step explanation:
First you split the shape into simple parts, and think about the measurements when you do so. Although you can't see my work, the way I split it is a rectangle that measures 8 by 4, and a rectangle that measures 8 by 6. You find the answer to these separately (32 and 48) and add them together (80).
Answer:
tex]a^2 - 4b \neq 2[/tex]
Step-by-step explanation:
We are given that a and b are integers, then we need to show that 
Let 
If a is an even integer, then it can be written as 
, then,
RHS is a fraction but LHS can never be a fraction, thus it is impossible.
If a is an odd integer, then it can be written as 
, then,
RHS is a fraction but LHS can never be a fraction, thus it is impossible.
Thus, our assumption was wrong and .
Answer:
Step-by-step explanation:
A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?
Given that:
Number of cards = 4
x = Black on both sides = 1
y = Red on both sides = 1
z = Black on one side, red on one side = 2
.i) If the side you see is black, what is the probability that the other side is black = b
Probability of black
P(x) = 1/4 ; p(b|x) = 1
P(y) = 1/4 ; p(y|x) =
