Answer:
56.54 will be the circumference if 9 is the radius......
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Answer:
W and Y = 91. X and Z = 89
Step-by-step explanation:
Those two angles will add to 180.
5a - 21 + 3a + 25 = 8a + 4
8a + 4 = 180
8a = 176
176 / 8 = 22 = a
Plug in a for an angle.
3(22) + 25 = 91
180 - 91 = 89
Answer:
Simplifying
5x + 7y = -6
Solving
5x + 7y = -6
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7y' to each side of the equation.
5x + 7y + -7y = -6 + -7y
Combine like terms: 7y + -7y = 0
5x + 0 = -6 + -7y
5x = -6 + -7y
Divide each side by '5'.
x = -1.2 + -1.4y
Simplifying
x = -1.2 + -1.4y
__________________________________
Simplifying
4x + 7y = -9
Solving
4x + 7y = -9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7y' to each side of the equation.
4x + 7y + -7y = -9 + -7y
Combine like terms: 7y + -7y = 0
4x + 0 = -9 + -7y
4x = -9 + -7y
Divide each side by '4'.
x = -2.25 + -1.75y
Simplifying
x = -2.25 + -1.75y
Question:
Find the point (,) on the curve 
that is closest to the point (3,0).
[To do this, first find the distance function between (,) and (3,0) and minimize it.]
Answer:
Step-by-step explanation:
can be represented as: 
Substitute 
for 
So, next:
Calculate the distance between 
and 
Distance is calculated as:
So:
Evaluate all exponents
Rewrite as:
Differentiate using chain rule:
Let
So:
Chain Rule:
Substitute:
Next, is to minimize (by equating d' to 0)
Cross Multiply
Solve for x
Substitute in
Split
Rationalize
Hence:
You Pemdas - Parenthesis , Exponents ,
Multiplication , Division , Addition , And Subtraction , And Thats Should Help You Get Your Answer
