Answer:
C = 31.4 inches
Step-by-step explanation:
The circumference of a circle is found by
C = pi *d
C =3.14 * 10
C = 31.4 inches
Answer:
Option A
Step-by-step explanation:
Given:
- a. 3x-5= 3x + 5
- b. 3x-5= 3x - 5
- c. 3x - 5 = 2x+5
- d. 3x-5 = 2x + 10
To find:
- Which one of the linear equations have no solution.
Solution:
a) 3x-5= 3x + 5
Add 5 to both sides
3x-5= 3x + 5
3x - 5 + 5 = 3x + 5 + 5
Simplify
(Add the numbers)
3x - 5 + 5 = 3x + 5 + 5
3x = 3x + 5 + 5
(Add the numbers)
3x = 3x + 5 + 5
3x = 3x + 10
Subtract 3x from both sides
3x = 3x + 10
3x - 3x = 3x + 10 - 3
Simplify
(Combine like terms)
3x -3x = 3x + 10 - 3
0 = 3x + 10 - 3
(Combine like terms)
0 = 3x + 10 - 3
0 = 10
The input is a contradiction: it has no solutions
b) 3x-5= 3x - 5
Since both sides equal, there are infinitely many solutions.
c) 3x - 5 = 2x+5
Add 5 to both sides
3x = 2x + 5 + 5
Simplify 2x + 5 + 5 to 2x + 10
3x = 2x + 10
Subtract 2x from both sides
3x - 2x = 10
Simplify 3x - 2x to x.
x = 10
d) 3x-5 = 2x + 10
Add 5 to both sides
3x = 2x + 10 + 5
Simplify 2x + 10 + 5 to 2x + 15
3x = 2x + 15
Subtract 2x from both sides
3x - 2x = 15
Simplify 3x -2x to x.
x = 15
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Answer:
As you can see all c and d both have solutions, eliminating them as options. Option B has infinite solutions leaving Option A which has no solutions.
Therefore, <u><em>Option A</em></u> is the linear equation that has no solution.
Answer:
A. The greatest one year increase in tuition ocurred from 1997 to 1998.
Step-by-step explanation:
If you look at the graph, at the points above 1997 and 1998, you'll see that the dots are separated by two lines, not just one.
Answer: D. 8x² + x + 3
Sum means the answer to an addition problem. To find the sum of polynomials, we will add like terms.
<h2>What are like terms?</h2>
Like terms can be combined using addition or subtraction and have the same variables. Constants are also like terms with each other because they have no variables.
<h2>Solve</h2>
(4x² + 1) + (4x² + x + 2) Starting equation from the question
= 4x² + 1 + 4x² + x + 2 Remove brackets
= 4x² + 4x² + x + 1 + 2 Rearrange to group like terms together
= 8x² + x + 1 + 2 Add like terms with the same 'x²' variables
= 8x² + x + 3 Add like terms that are constants
Learn more about adding polynomials here:
brainly.com/question/1311115