<h2>Steps:</h2>
So for this, we will be doing a system of equations. Using the info from our question, our two equations are:
(let x = greater number and y = lesser number)
Now, for this I will be using the substitution method. Since we know that x = 4y - 1, substitute that into the second equation:
From here we can solve for y. Firstly, combine like terms:
Next, subtract 4y on both sides of the equation:
Next, multiply both sides by -1:
Now that we know the value of y, substitute it into either equation to solve for x:
<h2>Answer:</h2>
In short, <u>5 is the lesser number and 19 is the greater number.</u>
Answer: x=7
Step-by-step explanation:
-4x+26=-2
-26
-4x=-28
Divide by -4
=7
Answer:
No solutions for n
Step-by-step explanation:
Distribute the 4 to the -8 and the 2n
-4 + 4*-8 + 4*2n = -37 + 8n
Multiply
-4 - 32 + 8n = -37 + 8n
Subtract 8n on both sides
-4 - 32 = -37
Subtract on the left
-36 = -37
No solutions because -36 does not equal -37
9514 1404 393
Answer:
72
Step-by-step explanation:
Enter the expression into your calculator.
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If you're doing this by hand, follow the Order of Operations. The expression is the difference of a quotient and a product. The quotient is on the left, so it is figured first.
252÷3 = 84
The product is figured next.
3(4)(1) = 12(1) = 12
Then the difference is figured:
84 -12 = 72
The simplified result is 72.
Answer:
exact arc length = 21pi
approximate arc length (using calculator) = 65.9734457253857
approximate arc length (using 3.14 for pi) = 65.94
units are in feet
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Work Shown:
L = (x/360)*2*pi*r
L = (315/360)*2*pi*12
L = 21pi = exact arc length in terms of pi
If you use your calculator's stored version of pi, then L is approximately
L = 21pi
L = 65.9734457253857
Or if you end up using pi = 3.14, then
L = 21*pi
L = 21*3.14
L = 65.94
Fairly close to the other approximation though a bit off because pi = 3.14 is just a rough approximation.
