By the Pythagorean Theorem:
The square of the hypotenuse (longest side) of a right triangle is equal to the sum of the side lengths squared, or mathematically:
h^2=x^2+y^2, where x and y are the side lengths and h is the length of the hypotenuse, in this case:
9.4^2=6.8^2+GF^2
GF^2=9.4^2-6.8^2
GF^2=42.12
GF=√42.12 units
GF≈6.49 units (to nearest hundredth of a unit)
Answer:
p = 3
Step-by-step explanation:
27p + 6.25 = 87.25
- 6.25 -6.25 = 27p + 0 = 81 = 27p = 81
81/27 = 3
p = 3
Answer:
Step-by-step explanation:
y - 2 = -4(x - 1)
y - 2 = -4x + 4
y = -4x + 6
Answer:
e^(ln x) is just plain x
Step-by-step explanation:
The functions f(x) = e^x and g(x) = ln x are inverses of one another. In other words, one "undoes" the other.
Thus, as the rule goes, e^(ln x) is just plain x.
Here, e^(ln x) = 4 simplifies to x = 4.