The answer is -1.9 goooooooooooodluck (it won't let me add it without 20 characters lol)
Answer:
a. 2
b. x^2 + 10x + 26
c. x^2 + 2x + 2
Step-by-step explanation:
For each part, replace x with the value you are given and simplify.
f(x) = x^2 - 2x + 2
a.
f(2) = 2^2 - 2(2) + 2 = 2
b.
f(x + 6) = (x + 6)^2 - 2(x + 6) + 2
= x^2 + 12x + 36 - 2x - 12 + 2
= x^2 + 10x + 26
c.
f(-x) = (-x)^2 - 2(-x) + 2
= x^2 + 2x + 2
You can check whether this is true using Pythagoras' Theorem. The Pythagorean Theorem:
a² + b² = c², where c is the hypotenuse of a right triangle.
Let's plug in the given values and check the validity of the statement.
a² + b² = c²
7² + 9² = 11²
49 + 81 = 121
130 = 121
This is false. Thus,
Answer:
False - a triangle with side lengths 7, 9, and 11 is not a right triangle.
Answer:
226.9 in²
Step-by-step explanation:
The formula for circumference of a circle is:
C = 2πr, where π = 3.14 and r = the radius
The formula for area of a circle is
A = πr²
First, using the formula for circumference, you can solve for 'r':
53.42 = 2πr or 53.42 = 6.28r (divide) r = 8.5
Now, use the value of 'r' to solve for area:
A = π8.5² or 3.14(8.5)² = 226.9 in²
We can find the volume of the cylinder using the next equation:
Where h represents the height and r represents the radius.
The radius is the half value of the cylinder. Then :
r=d/2
r=7yd
r=3.5yd
Replacing:
Hence, the volume is 98π yd³
98π yd³=307.9
The answer is decimal form is 307.9 ( The value is rounded to the nearest tenth).