Answer:
Step-by-step explanation:
When adding rational numbers, if the denominator is the same you simply keep the denominator (bottom of fraction) as it is and apply the operation given to the numerator ( top of fraction )
So we have 
==> remove parenthesis and apply signs
==> simplify numerator by combining like terms
and we are done!
Note:
like terms are terms with the same variable and exponent
An example of like terms are 6x^7 and 3x^7 as they have x as a variable and a power of 7
The like terms being combined here were (6x² and 4x²) and (5 and -2)
Answer:
Remember that a perfect square trinomial can be factored into the form (a+b)^2
or (a-b)^2
Examples:
(x+2)(x+2) is a perfect sq trinomial --> x^2+4x+4
(x-3)(x-3) is a perfect sq trinomial --> x^2-6x+9
(x+2)(x-3) is not a perfect square trinomial because its not in the form (a+b)^2 or (a-b)^2
Now to answer your question,
for the first one, x^2-16x-64, you cannot factor it so it is not a perfect square trinomial
for the second one, 4x^2 + 12x + 9, you can factor that into (2x+3)(2x+3) = (2x+3)^2 so this is a perfect square trinomial
for the third one, x^2+20x+100 can be factored into (x+10)(x+10) so this is also a perfect square trinomial
for the fourth one, x^2+4x+16 cannot be factored so this is not a perfect square trinomial
Therefore, your answer is choices 2 and 3
Read more on Brainly.com - brainly.com/question/10522355#readmore
Step-by-step explanation:
Answer:
1000(1/20000) +
300(2/20000) +
10(20/20000) +
=
1800/20000 = .09
Step-by-step explanation:
Each ticket purchased is expected to win 9 cents
Each ticket purchased cost 75 cents
If you interpret expected winnings per ticket to include the cost then each ticket is expected to lose 66 cents.
If the figure does not have four congruent sides, then the shape is not a rhombus.
<u>Answer</u>
C. 16 feet
<u>Explanation</u>
The area of a circle is given by the formula:
Area = πr² Where r is the radius of the circle and π = 3.1416
201.0624 = 3.1416 × r²
r² = 201.0624/3.1416
= 64
r = √64
= 8 feet
Diameter is twice the radius.
∴ diameter = 2r
= 2 × 8
= 16 feet
