Answer:
your mom
Step-by-step explanation:
Answer:
x = -13/9
Step-by-step explanation:
Solve for x over the real numbers:
8^(x - 3) = 16^(3 x + 1)
Hint: | Take logarithms of both sides to turn products into sums and powers into products.
Take the natural logarithm of both sides and use the identity log(a^b) = b log(a):
3 log(2) (x - 3) = 4 log(2) (3 x + 1)
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by log(2):
3 (x - 3) = 4 (3 x + 1)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
3 x - 9 = 4 (3 x + 1)
Hint: | Write the linear polynomial on the right hand side in standard form.
Expand out terms of the right hand side:
3 x - 9 = 12 x + 4
Hint: | Isolate x to the left hand side.
Subtract 12 x - 9 from both sides:
-9 x = 13
Hint: | Solve for x.
Divide both sides by -9:
Answer: x = -13/9
The Pythagorean Theorem states that a² + b² = c², c being the hypotenuse.
Substitute known values into the equation.
7² + 2² = c²
49 + 4 = c²
c² = 53
c = √53
c = 7.28010989
Answer: The hypotenuse's length is 7.3 feet.
First, we can factor an x out of this.
We're left with x(x^2 - 16)
We can use the difference of squares theorem here to factor this further.
![a^2 - b^2 = (a - b)(a + b)](https://tex.z-dn.net/?f=a%5E2%20-%20b%5E2%20%3D%20%28a%20-%20b%29%28a%20%2B%20b%29)
<h3><u>We're left with (x)(x + 4)(x - 4)</u></h3>
The Decimal greater then that is 2.35