The area was originally 3*5, or 15 cm^2.
When the sides were enlarged, they were all multiplied by 3. The new sides are 3*3, or 9, and 5*3, or 15.
The new area is 9*15, or 135 cm^2.
If you divide 135, the new area, by 15, the original area, you get 9. So, the area increased by a factor of 9.
Answer:
The correct answer is c. c is the square of half of b.
Step-by-step explanation:
In all perfect square trinomials, half of the middle number squared gives you the constant. See the example below for proof.
(x + 4)^2
(x + 4)(x + 4)
x^2 + 4x + 4x + 16
x^2 + 8x + 16
You'll notice if you take the middle term (8), cut it in half (4) and then square it (16), the result is the constant.
Answer:
- 14π/9; 108°; -√2/2; √2/2
Step-by-step explanation:
To convert from degrees to radians, use the unit multiplier 
In equation form that will look like this:
- 280° × 
Cross canceling out the degrees gives you only radians left, and simplifying the fraction to its simplest form we have 
The second question uses the same unit multiplier, but this time the degrees are in the numerator since we want to cancel out the radians. That equation looks like this:
× 
Simplifying all of that and canceling out the radians gives you 108°.
The third one requires the reference angle of
.
If you use the same method as above, we find that that angle in degrees is 135°. That angle is in QII and has a reference angle of 45 degrees. The Pythagorean triple for a 45-45-90 is (1, 1, √2). But the first "1" there is negative because x is negative in QII. So the cosine of this angle, side adjacent over hypotenuse, is 
which rationalizes to 
The sin of that angle is the side opposite the reference angle, 1, over the hypotenuse of the square root of 2 is, rationalized, 
And you're done!!!
Answer:
x^-12
Step-by-step explanation:
(x^4)^-3 = x^ 4*-3 = x^-12