Answer:
-2 7/6, -1 3/4, -1 1/2, 1/8
Step-by-step explanation:
The "greater" the number is when it's negative, the less value it actually holds. Therefore, -1 3/4 is less than -1 1/2!
The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).
<h3>What is a circle?</h3>
It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.
x = 2y + 5 ...1
x² + y² = 5 ...2
If the intersection of the point of the circle and line is one. Then the line is tangent to the circle.
Then from equations 1 and 2, we have
(2y + 5)² + y² = 5
4y² + 25 + 20y + y² - 5 = 0
5y² + 20y + 20 = 0
5y² + 10y + 10y + 20 = 0
5y (y + 2) + 10(y + 2) = 0
(5y + 10)(y + 2) = 0
y = -2, -2
Then the value of y is unique then the value of x will be unique.
The value of x will be
x = 2(-2) + 5
x = -4 + 5
x = 1
The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).
More about the circle link is given below.
brainly.com/question/11833983
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Answer:
A score between 79 to 100
Step-by-step explanation:
As the average is not a simple number but a range between 79 and 86 you need to make a decision on what average number to choose, for example we can choose the 79 or 86
First we choose 79
Then (test1+test2+test3)/3=79
(75+83+test3)/3=79
75+83+test3=237
Test3=237-75-83
Test3=79
Second we choose 86
(test1+test2+test3)/3=86
(75+83+test3)/3=86
75+83+test3=258
Test3=258-75-83
Test3=100
According to this you need a score in the range from 79 to 100 to have a test average between 79 to 86
