The answer is a. -7
1. Find g(2).
2. Find f(g(2)).
g(x) = x² - 6x - 7
x = 2 ⇒ g(2) = ?
g(2) = 2² - 6·2 - 7 = 4 - 12 - 7 = -15
2. f(x) = x + 8
g(2) = -15
f(g(2)) = f(-15) = -15 + 8 = -7
Answer:
Step-by-step explanation:
pi*r^2=area
1*1=1
1*3.14=3.14
the area is pi itself
The missing steps are each right angles and
.
Solution:
Step 1: Given data:



Step 2: In the two polygons,
and 
(Each right angle)
Step 3: Given

Step 4: By third angle theorem,
If two angles in one triangle are congruent to the two angles in the other triangle, then the third angles in the triangles also congruent.

Step 5: By the definition of congruent polygons,
If two same shape polygons have all the angles are congruent and all the corresponding sides are congruent then the polygons are congruent.
Hence
.
Therefore the missing steps are each right angles and
.
Answer: 390 miles
Step-by-step explanation:
Rules of exponents and the distributive property apply.
(x+y)² = (x+y)·(x+y) . . . . . meaning of exponent of 2
= x·(x+y) +y·(x+y) . . . . . . . distributive property
= x·x +x·y +y·x +y·y . . . . . distributive property
= x² +x·y +x·y +y² . . . . . . meaning of exponent of 2, commutative property of multiplication
= x² +(1+1)·x·y +y² . . . . . . distributive property
= x²+2xy+y² . . . . . . . . . the desired form
Thus
(x+y)² = x²+2xy+y²