Answer:
Step-by-step explanation:
The given exponential form is:
The base of the given expression on the right is 13 and the exponent is 2.
The number is 169.
In terms of logarithms, the base still remains the base and the exponent becomes the result of the logarithm of the number 169 to the given base 13.
Answer:
2x^2 - x - 15 = 0.
Step-by-step explanation:
In factor form this is
(x + 5/2)(x - 3) = 0
x^2 + 5/2x - 3x - 15/2 = 0
x^2 - 1/2x - 15/2 = 0
Multiply through by 2:
2x^2 - x - 15 = 0.
Answer:
√26 ≈ 5.1 units
Step-by-step explanation:
√(x₂ - x₁)² + (y₂ - y₁)²
√(3/2 - 5/2)² + (8 - 3)²
√(-1)² + (5)²
√1 + 25
√26
Answer:
Volume of original toolbox = 180 in³
Yes, doubling one dimension only would double the volume of the toolbox.
Step-by-step explanation:
Volume = L x W x H
10 x 6 x 3 = 180 in³
proof:
double length = 20 x 6 x 3 = 360 in³, which is double the original
double width = 10 x 12 x 3 = 360 in³, which is double the original
double height = 10 x 6 x 6 = 360 in³, which is double the original
