Answer:
The correct answer is = p = 15 and q = 6.
Step-by-step explanation:
Given:
Perimeter of rectangle = 42 cm
p - q = 9 cm
length = p
width = q
we know:
Perimeter of rectangle= 2(l+w)
solution:
42 = 2(P+q)
21= p+q
Difference of p and q = 9 cm.
Then, P+q=21 .... 1
P-q=9 ....2
Adding both 1 and 2
2P = 30
P= 15cm and
q = 15-9
= 6cm
Answer: 60 degrees
Explanation: If all angles are same, each angle is 60 degrees and adds up to 180.
Answer:
(x + 3)
Step-by-step explanation:
Using the zero product property
x-a = 0 x-b = 0 where a and b are the zeros
(x-a)(x-b) =0
(x- -3)(x -8) =0
(x+3) (x-8) =0
Answer:
there are 28 quarters and 13 nickels
Step-by-step explanation:
Answer:
x = 4 is the solution
Step-by-step explanation:
given = x ( square both sides )
x + 12 = x² ( rearrange into standard form )
x² - x - 12 = 0 ← in standard form
(x - 4 )(x + 3 ) = 0 ← in factored form
equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 3 = 0 ⇒ x = - 3
Insert these values into the original equation, and if both sides are equal, and those are the solutions.
x = 4 : = = 4 = x ← correct
x = - 3 : = = 3 ≠ - 3 ← false
the answer is x = 4
