A point of intersection is a point where two lines or curves meet.
There are zero points of intersection.
Given
The equations are;
<h3>What is the point of intersection?</h3>
A point of intersection is a point where two lines or curves meet.
There are two methods to find a point of intersection graphically by graphing the curves on the same graph and identifying their points and another one is to solve the equation and find the value of x and y.
Adding both the equation
Substitute the value of y in the equation
Hence, there are zero points of intersection.
To know more about the point of intersection click the link given below.
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The standard form of hyperbola is:
(x-h)²/a²-(y-k)²/b²=1
center:(4,5)
Length of the horizontal transverse axis: 8-5=3=2a
thus
a=3/2
a²=9/4
b=2
b²=4
Hence the equation will be:
(x-4)²/(9/4)-(y-5)²/4=1
simplifying this we get:
[4(x-4)²]/9-(y-5)²/4=1
Let's solve this by substitution.
y is given by the 2nd eqn as y = (1/3)x + 7. Subst. (1/3)x + 7 into the first eqn as a replacement for y: x + 9( (1/3)x + 7) = 3.
clear out fractions by mult. all 3 terms by 3: 3x + 9x + 63 = 3
Combine like terms: 12x = -60. Then x = -5
Find y by subst. -5 for x in the 2nd equation: y = (1/3)(-5) + 7
= -5/3 + 35/3 = 30/3 = 10.
Thus, the solution (x,y) of this system is (-5,10).
I think the answer would be D
K = (y °F – 32) ÷ 1.8 + 273.15 or K = (y °F – 32) x 5/9 + 273.15
