Answer:
A)
Step-by-step explanation:
length = x +x + 2 = 2x + 2
Width = 2+ x
Area of rectangle = length *width
(x +2)(2x + 2) = 110
Use FOIL method
x*2x + x*2 + 2*2x + 2*2 = 110
2x² + <u>2x + 4x</u> + <u>4 - 110</u> = 0 {Combine like terms}
2x² +6x - 106 = 0
a = 2 ; b = 6 ; c = -106
b² - 4ac = 6² - 4*2*(-106)
= 36 + 848
= 884
x = 5.93 m
Answer: a) x = 5 or -1 b) x = √3+2
c) x = -1/2 or -3/2
Step-by-step explanation:
a) (x − 2)² = 9
First step is to take the square root of both sides to eliminate the square
√ (x − 2)² = √9
x-2 = +-3
x = +3+2
x = 5 and;
x = -3+2
x = -1
x = 5 or -1
b) 3(x-2)² = 9
First we divide both sides by 3 to get;
(x-2)² = 9/3
(x-2)² = 3
Second step is to take the square root of both sides to eliminate the square
√(x-2)² = √3
x-2 = √3
x = √3+2
c) 6 = 24(x+1)²
Dividing both sides by 24, we have
6/24 = (x+1)²
1/4 = (x+1)²
Taking the square root of both sides we have
√1/4 = √(x+1)²
= +-1/2 = x+1
x = +1/2-1 = -1/2 and;
x = -1/2-1 = -3/2
x = -1/2 or -3/2
Answer:
p = -5
Step-by-step explanation:
D : c = 33 : 22
where d is the number of dogs and c is the number of cats;
and: d + c = 3030
33 c = 22 d / : 11
3 c = 2 d
From the other equation: c = 3030 - d
3 * ( 3030 - d ) = 2 d
9090 - 3 d = 2 d
5 d = 9090
d = 9090 : 5
d = 1818
Answer: There are 1818 dogs in the shelter.
