9x^2 + 9x + 1
36b^2 − 24b + 8
16x^2 + 24x + 9
4a^2 − 10a + 25
Answer:
16x^2 + 24x + 9
Step-by-step explanation:
perfect square trinomial is of the form
a^2 + 2 * a * b + b^2
9x^2 + 9x + 1 = (3x)^2 + 3*3x*1 + 1^2 not a perfect square trinomial
36b^2 − 24b + 8 = ( 6b)^2 -2 * 6b *2 + ( 2 sqrt(2)) ^2 not a perfect square trinomial
16x^2 + 24x + 9 = ( 4x) ^2 + 2 * ( 4x) * 3 + 3^2 = perfect square trinomial
4a^2 − 10a + 25 = ( 2a) ^2 - 1 * 2a *5 + 5^2 not a perfect square trinomial
Answer:
The third answer listed:
Step-by-step explanation:
The trinomial:
can be factored out as follows:
which as can be seen,is the perfect square of a binomial, so this trinomial is what is called a perfect square trinomial.
If p is true and ~ q is false, then p -> ~ q is always, sometimes, never false.
If p is true and q is true, then ~ p -> ~ q is always, sometimes, never true.
If p -> q is true and q is true, then p always, sometimes, never is
1. If p is true and q is false, the p -> q is never true.
2. When p is false and q is true, then p or q is always true.
3. If p is true and ~ q is false, then p -> ~ q is never false.
4. If p is true and q is true, then ~ p -> ~ q is always true.
5. If p -> q is true and q is true, then p is always true.
Further Explanation:
The logic gates are used here.
Here, the symbol -> is for implication. Implication p-> q means that if p is true then q must be true.
So let us look at all the questions one by one.
1. If p is true and q is false, the p -> q is always, sometimes, never true.
p -> q
true -> false
The true should imply true so the given statement will never be true.
2. When p is false and q is true, then p or q is always, sometimes, never true.
false or true
We know that in or gate even if one input is true, the whole output is true. So this statement will be always true given p is false and q is true.
3. If p is true and ~ q is false, then p -> ~ q is always, sometimes, never false.
This translates to:
true -> true
So it will never be false.
4. If p is true and q is true, then ~ p -> ~ q is always, sometimes, never true.
This translates to:
false -> false
This will always be true.
5. If p -> q is true and q is true, then p is always, sometimes, never true.
If p->q is true and q is true then p will always be true. "Implies to" states that in p->q, in order for q to be true p has to be true. So p will always be true.
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Answer:
Your answer is: Always true
Step-by-step explanation:
The measures of their corresponding angles are not identical.
The lengths of their corresponding sides are unequal.
Their shapes and sizes are not identical.
Answer:
1) 15 feet per second
2) distance after 3 seconds 45 feet
3) slower
Step-by-step explanation:
1) 30/2 = 15
2) 15 x 3
3) 55/4 = 13.75 < 15
The scooter travels 15 feet after 1 second, 45 feet after 3 seconds, 60 feet after 4 seconds, and 75 feet after 5 seconds. The speed of the scooter is 15 feet per second. The skateboard is going slower than the scooter.
To complete the double number line, we need to determine the distance the scooter travels after 1, 3, 4, and 5 seconds. Since the scooter travels 30 feet in 2 seconds at a constant speed, we can determine the distance for each time by finding the proportion:
After 1 second: 30 feet / 2 seconds = 15 feet
After 3 seconds: 30 feet / 2 seconds * 3 seconds = 45 feet
After 4 seconds: 30 feet / 2 seconds * 4 seconds = 60 feet
After 5 seconds: 30 feet / 2 seconds * 5 seconds = 75 feet
The speed of the scooter is the same as its constant speed, which is 30 feet / 2 seconds = 15 feet per second.
The distance the scooter travels after 3 seconds is 45 feet.
Since the scooter traveled 30 feet in 2 seconds, and the skateboard traveled 55 feet in 4 seconds, we can compare their speeds. The scooter traveled 30 feet in 2 seconds, which means its speed is 30 feet / 2 seconds = 15 feet per second. The skateboard traveled 55 feet in 4 seconds, so its speed is 55 feet / 4 seconds = 13.75 feet per second. Therefore, the skateboard is going slower than the scooter.
#SPJ11
1 7
2 10
3 13
4 16
5 19
6 22
Which expression gives the number in the nth position in the sequence?
A) 2n - 2
B) 3n + 4
C) 4n - 1
D) 5n
Answer:
Option B is correct
3n+4[/tex]
Step-by-step explanation:
The nth term for the arithmetic sequence is given by:
....[1]
where,
is the nth position
n is the number of term
is the first term and
d is the common difference.
Given the table:
Position(n) Value of Term()
1 7
2 10
3 13
4 16
5 19
6 22
from the given table:
At n = 1 ,
At n = 2
at n = 3
and so on
Common difference(d) for the sequence is 3
Since,
⇒
Substitute d = 3 and in [1] we have;
⇒
⇒
Therefore, the expression gives the number in the nth position in the sequence is,