Coordinates of C ( 3, - 2 ). After the rotation for 90° clockwise new coordinates would be C ` ( - 2, - 3 ).
Answer:
B ) ( x , y ) → ( y, -x ) ; C`( -2, - 3 )
The greatest common factor is 3x². The rest doesn't factor.
21x³y² -3x²y +75x⁴ = 3x²(7xy² -y +25x²)
Answer:
10 nickels and 10 quarters
Step-by-step explanation:
Given
Number of coins: 20
Vaiue of coins = $3.00
Required
Number of Nickels and Quarters;
<em>Let N =Nickels and Q =Quarters</em>
The total coins is represented as:

1 nickel is equivalent to $0.05 and 1 quarter is equivalent to $0.25; So

Make N the subject of formula in the first equation

Substitute this in the second equation


Collect like terms


Multiply both sides by 5


Recall that N = 20 - Q


Let the dimensions be x and y
Given that the area is 40m²
xy = 40 ----------------- (1)
Given that the perimeter is 26
2(x + y) = 26
x + y = 13
x = 13 - y ---------------- Sub into (1)
(13 - y)y = 40
13y - y² = 40
y² - 13y + 40 = 0
(y - 8)(y - 5) = =
y = 8 or y = 5
The dimensions are 8 meters and 5 meters
The answer is 17! Hope it helps :)