The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation.
<h3>What is an Equation ?</h3>
An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.
Total Questions = 20
Total Points = 28
Correct Answers = +2 points
Incorrect Answers = -1 point
The viewer represents the correct answers with x and the incorrect ones with y.
x+y = 20
for every correct answers 2 points;
and for every incorrect answers, -1 point
This can be written as
2x-y = 28
The viewer's mistake is that; instead of subtracting total incorrect points from the correct points, the viewer added them together;
now
2x-y = 28
x+y = 20
On adding the equations
]3x = 48
x = 16
y = 4
This means that the contestant answered 16 questions correctly and 4 questions incorrectly
The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28.
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32x + 53 = 501
-53 - 53
<u>32x</u> = <u>448</u>
32 32
x = 14
Equation of the circle is (x + 5)² + (y - 5)² = 9
Step-by-step explanation:
- Step 1: Given center is (h, k) = (-5, 5) and radius is 3. Equation of a circle is given by (x - h)² + (y - k)² = r²
Equation is (x - -5)² + (y - 5)² = 3²
⇒ (x + 5)² + (y - 5)² = 9
<h2>
Answer: 0.85 radians</h2>
Step-by-step explanation:
We have the following trigonometric expression:
The result of this calculation is:
where the angle is in degrees
If 
then:
Therefore the answer is 0.85 radians
