A. The area of a square is given as:
A = s^2
Where s is a measure of a side of a square. s = (2 x – 5) therefore,
A = (2 x – 5)^2
Expanding,
A = 4 x^2 – 20 x + 25
B. The degree of a polynomial is the highest exponent of the variable x, in this case 2. Therefore the expression obtained in part A is of 2nd degree.
Furthermore, polynomials are classified according to the number of terms in the expression. There are 3 terms in the expression therefore it is classified as a trinomial.
<span>C. The closure property demonstrates that during multiplication or division, the coefficients and power of the variables are affected while during multiplication or division, only the coefficients are affected while the power remain the same.</span>
If x is a real number such that x3 + 4x = 0 then x is 0”.Let q: x is a real number such that x3 + 4x = 0 r: x is 0.i To show that statement p is true we assume that q is true and then show that r is true.Therefore let statement q be true.∴ x2 + 4x = 0 x x2 + 4 = 0⇒ x = 0 or x2+ 4 = 0However since x is real it is 0.Thus statement r is true.Therefore the given statement is true.ii To show statement p to be true by contradiction we assume that p is not true.Let x be a real number such that x3 + 4x = 0 and let x is not 0.Therefore x3 + 4x = 0 x x2+ 4 = 0 x = 0 or x2 + 4 = 0 x = 0 orx2 = – 4However x is real. Therefore x = 0 which is a contradiction since we have assumed that x is not 0.Thus the given statement p is true.iii To prove statement p to be true by contrapositive method we assume that r is false and prove that q must be false.Here r is false implies that it is required to consider the negation of statement r.This obtains the following statement.∼r: x is not 0.It can be seen that x2 + 4 will always be positive.x ≠ 0 implies that the product of any positive real number with x is not zero.Let us consider the product of x with x2 + 4.∴ x x2 + 4 ≠ 0⇒ x3 + 4x ≠ 0This shows that statement q is not true.Thus it has been proved that∼r ⇒∼qTherefore the given statement p is true.
Answer would be #9 .hourses
Answer:
The system of equations are 
and 
Step-by-step explanation:
Given : There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club.
To find : Write a system of linear equations that represents the situation.
Solution :
Let x represent the number of students in the drama club
and y represent the number of students in the yearbook club.
There are a total of 64 students in a drama club and a yearbook club.
i.e. ....(1)
The drama club has 10 more students than the yearbook club.
i.e. ....(2)
Substitute the value of (2) in (1),
Substitute in (2),
Therefore, the system of equations are and
Answer:
or 3.61
Step-by-step explanation:
Draw a right triangle and use the Pythagorean Theorem to find the hypotenuse, using the given points to find the length of the two sides. See the attachment.
