Translate to an algebraic statement. "The quotient of twice a number and 7 is 20."
1 answer:
<u>Answer:</u>
- Translation: 2x/7 = 20
<u>Step-by-step explanation:</u>
- <em>When we listen to the word "quotient", it means the solution to a division problem. </em>
- <em>An unknown number that has been multiplied by 2 is in the numerator because it came before the 7 in the statement. </em>
- <em>The number "7" is in the denominator because it came after the 2x in the statement. </em>
- <em>The word "is" represents an equal sign.</em>
- <em>The solution to the division problem (quotient) is 20. </em>
<u><em>If we put these clues together, we get 2x/7 = 20 as our translated equation.</em></u>
<u>Hence, our algebraic statement is 2x/7 = 20. The key is to listen to the statement. </u>
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[ Answer ]
[ Explanation ]
- Formula For Area Of Trapezoid:
-----------------------------------------
A = 10
B = 18
H = 6
- Plug Numbers Into Equation:
- Solve
10 + 18 = 28
28 ÷ 2 = 14
14 · 6 = 84
- Final Answer
84
Answer:
see explanation
Step-by-step explanation:
I will begin with part two, first.
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
Given
x² - 18x + y² - 10y = - 6
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 9)x + 81 + y² + 2(- 5)y + 25 = - 6 + 81 + 25, that is
(x - 9)² + (y - 5)² = 100 ← in standard form
with centre = (9, 5 ) and r = = 10