Use Pythagorean Theorem:
a² + b² = c²
"a" is one side of the right triangle.
Its length is: radius of larger circle minus radius of smaller circle: (11 - 3 = 8)
The distance between the center of the circles creates the hypotenuse (17)
8² + b² = 17²
b² = 225
b = 15
Answer: the length of the common external tangent is 15.
Answer:
The given relation
is a function.
Step-by-step explanation:
A relation
is given.
It is required to determine whether the given relation is a function.
To determine whether the given function is a relation, identify the domain and range and then check whether the given relation is a function.
Step 1 of 1
The given relation is {(a, b),(c, d),(e, d)}.
The set of the first components of each ordered pair is called the domain.
From the relation, the domain is {a, c, e}.
The set of the second components of each ordered the range.
From the relation, the range is {b, d, d}.
The given relation is a function. But it is not a one-to-one function.
The answer is 9900000000 (thats 8 zeros) What you do is you find 10^10 which is 10000000000 (ten zeros) and multiply that by 7.92 to get 79200000000 then you just multiply it by 1/8 to get the answer.
Answer:
h(x) = 1/4x
Step-by-step explanation:
To find the inverse, first we rewrite the function using y instead of f(x):
y = 4x
Next we switch x and y:
x = 4y
Solve for y by dividing both sides by 4:
x/4 = 4y/4
x/4 = y
1/4x = y
Answer:
5 miles a day.
Step-by-step explanation:
if there's 35 and he has done 15 he will have to do 5 miles each day (4 days) which will be 20, when added equivalent to 35.