Answer: 16m^4−25
Step-by-step explanation:
(4m^2−5)(4m^2+5)
=(4m^2+−5)(4m^2+5)
=(4m^2)(4m^2)+(4m^2)(5)+(−5)(4m^2)+(−5)(5)
=16m^4+20m^2−20m^2−25
=16m^4−25
Answer:
a) 2.5
b)2.33
Step-by-step explanation:
a)
Bring the numerals to the right hand side and the x terms to the left hand side
Simplify
Divide 3 on both sides, to get x
b)
Bring the numerals to the right hand side and the x terms to the left hand side
Simplify
-33=-11*3
-8=-11+3
so
(x-11)(x+3)
There was a time that a friend of mine got to a decision because the leader of the group said so (it was a group project). Although it was clear that he did not want to comply to the decision, he made it because it was what the leader said so.
The television set has a rectangular shape. The diagonal of this rectangle along with its width and length together form a right angular triangle.
This means that we can apply the Pythagorean theorem which states that:
(diagonal)^2 = (length)^2 + (width)^2
Let the width be w. We know that the length is 0.75 times the width, this means that: length = 0.75 w
Substitute in the above equation:
(20)^2 = (0.75w)^2 + (w)^2
400 = 0.5625 w^2 + w^2
400 = 1.5625 w^2
w^2 = 256
w = 16
This means that the width of the screen is 16 in.