9 x 6 = 54 is this right I'll do distributive property next time
Answer:
There are none.
Step-by-step explanation:
<u>No calculus involved:</u>
The line, in slope-intercept form, has equation 
, ie is always decreasing (easy to spot applying the definition)
Meanwhile, 
is always increasing over its domain.
At no point the tangent will be decreasing.
<u>Let's use calculus</u>
We are to solve the equation 
which has no real solutions.
Answer:
Yes, there is enough information to prove that the triangles are congruent.
SAS POSTULATE
Step-by-step explanation:
The answer is 5.13 in²
Step 1. Calculate the diameter of the circle (d).
Step 2. Calculate the radius of the circle (r).
Step 3. Calculate the area of the circle (A1).
Step 4. Calculate the area of the square (A2).
Step 5. Calculate the difference between two areas (A1 - A2) and divide it by 4 (because there are total 4 segments) to get <span>the area of one segment formed by a square with sides of 6" inscribed in a circle.
</span>
Step 1:
The diameter (d) of the circle is actually the diagonal (D) of the square inscribed in the circle. The diagonal (D) of the square with side a is:
D = a√2 (ratio of 1:1:√2 means side a : side a : diagonal D = 1 : 1 : √2)
If a = 6 in, then D = 6√2 in.
d = D = 6√2 in
Step 2.
The radius (r) of the circle is half of its diameter (d):
r = d/2 = 6√2 / 2 = 3√2 in
Step 3.
The area of the circle (A1) is:
A = π * r²
A = 3.14 * (3√2)² = 3.14 * 3² * (√2)² = 3.14 * 9 * 2 = 56.52 in²
Step 4.
The area of the square (A2) is:
A2 = a²
A2 = 6² = 36 in²
Step 5:
(A1 - A2)/4 = (56.52 - 36)/4 = 20.52/4 = 5.13 in²
Factor completely x³ + 6x² - 3x – 18
with a root of x = -6
the answer is 210
