Answer:
B
Step-by-step explanation:
Given
(x - 5)²
= (x - 5)(x - 5)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 5) - 5(x - 5) ← distribute both parenthesis
= x² - 5x - 5x + 25 ← collect like terms
= x² - 10x + 25 → B
Answer
Step-by-step explanation:
The diagonals of kite KLMN meet at 90°
Since, LK and KN are congruent,
and
form a set of opposite congruent angles. Congruent angles are equal.
All interior angles of a kite add up to 180°, therefore:-
Answer:
, 
Step-by-step explanation:
The value of f(1) is:
The values for n and n-1, are respectively:
After some algebraic manipulation, the following expression is obtained:
Answer:
It is not reasonable
Step-by-step explanation:
We have a population of 150 and the person takes 10 data from the raccoons, if we take the average of these values, we are left with:
(17 +19 +20 +21 +23 +27 +28 +28+ 28 + 32) / 10 = 24.3
Therefore the inference of the average weight is to approximate up to 25.
This is NOT correct, since it cannot be approximated in this way first and also that the sample is not representative. 10 sample data of 150, which is the population, will give results with a very large margin of error and with a minimum level of confidence.
Therefore it is not reasonable.
When finding the reciprocal, it is basicaly flipping the numerator and denominator of the number. For instance, the reciporcal of 2 is 1/2, because the denominator of 2 would be 1. For an example more straight forward, the reciporacle of 3/5 is 5/3. This applied to the question goes as followed.
1. 3/5 is 5/3
2. 1/4 is 4
3. 1 is 1
Similarly when dividing fractions or an integer to a fraction, the fraction that is dividing the number turns into the reciprocal then you would multiply.
4. 3/(3/4) is 3*4/3= 4
5. 5/(3/4) is 5*(4/3)= 20/3
6. 8/(4/7) is 8*(7/3)= 56/3
7. 6/(3/5) is 6*(5/3)= 10
8. 2/(5/8) is 2*(8/5)= 16/5
9. 4/(8/9) is 4*(9/8)= 9/2
