Answer:
50cm
Step-by-step explanation:
If the sides are consecutive odd integers,
Let the smallest side=y
The other sides are y+2 and y+4
The perimeter=144cm
y+y+2+y+4=144
3y+6=144
3y=144-6
3y=138
y=138/3=46cm
Therefore, the largest side of the triangle:
y+4=46+4=50cm
Therefore, the largest side of the triangle is 50cm
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:
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Step-by-step explanation:
Answer:
x=-16
Step-by-step explanation:
Subtract 4 from both sides
x+4-4=-12-4
x=-16
Step-by-step explanation:
AC=AB+BC-cos. AC=100+66-cos. AC=166-0.906. AC=√165.094. AC=12.8