Answer: the length of each of the two equal sides is 25 centimeters
Step-by-step explanation:
Let x represent the length of each of the two equal sides. This means that the total length of the two longer sides is 2x.
Let y represent the length of the third side.
The perimeter of a triangle is expressed as the sum of the length of each side of the triangle. The perimeter of the isosceles triangle is 65 centimeters. It means that
2x + y = 65 - - - - - - - - - 1
Each of the equal sides is 10 centimeters longer than the third side. This means that
x = y + 10
Substituting x = y + 10 into equation 1, it becomes
2(y + 10) + y = 65
2y + 20 + y = 65
2y + y = 65 - 20
3y = 45
y = 45/3 = 15
Substituting y = 15 into x = y + 10, it becomes
x = 15 + 10 = 25
Step-by-step explanation:
2^(2x) - 5(2^x) = -4
(2^x)^2 - 5(2^x) = -4
Substitute 2^x = z --> x = ln(z)/ln(2)
z^2 - 5z = -4
z^2 - 5z + 4 = 0
(z - 1)(z - 4) = 0
z = 1 --> x = ln(1)/ln(2) = 0
z = 4 --> x = ln(4)/ln(2) = 2
Answer:
I cannot see the picture I think its because my chromebook sorry
Step-by-step explanation:
Answer:
38.5
Step-by-step explanation:
Lets say, first number = x
Second number = 3x+7
Total = 49
(x)+(3x+7)= 49
4x+7 = 49
4x = 42
x = 42/4
x= 10.5
x= 10.5
3x+7 = 3(10.5)+7 = 38.5
Hope this helps!!