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.
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Answer:
1.9 as a decimal
1 9/10 as a fraction
Step-by-step explanation:
45 + 50 = 95
95/50 = 1 9/10
1 9/10 = 1.9
Answer:
6e + 2f + 7
Step-by-step explanation:
The perimeter is the sum of the 3 sides of the triangle.
Note that the base and left side are congruent, thus
perimeter = 3e + f + 3e + f + 7 = 6e + 2f + 7
Answer:
5. 2[4 + n]
6. 7 + 314n
7. 3 + n = ⁿ⁄8
Step-by-step explanation:
5.Twice the sum means you need to double the sum. That is why that 2 is on the outside of the sum.
6. 314 OF a number means "the product of" a number. Then, you continue with your SUM by putting a "+" after 314n.
7. I could not make use of your sentence here, so I went with the above answer based on how the sentence might be structured.
I am joyous to assist you anytime.
9514 1404 393
Explanation:
As written, the equation is not an identity. Perhaps you want to show ...
(csc(x) +cot(x))² = (cos(x) +1)/(1 -cos(x))
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We will transform the left-side expression to the form of the right-side expression.
