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lreese
26.07.2021 •
Mathematics
Find the two intersection points
(x+1)^2 +(y+2)^2 = 16
3x+ 4y = 1
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Ответ:
Our two intersection points are:
Step-by-step explanation:
We want to find where the two graphs given by the equations:
Intersect.
When they intersect, their x- and y-values are equivalent. So, we can solve one equation for y and substitute it into the other and solve for x.
Since the linear equation is easier to solve, solve it for y:
Substitute this into the first equation:
Simplify:
Square. We can use the perfect square trinomial pattern:
Multiply both sides by 16:
Combine like terms:
Isolate the equation:
We can use the quadratic formula:
In this case, a = 25, b = -22, and c = -159. Substitute:
Evaluate:
Hence, our two solutions are:
We have our two x-coordinates.
To find the y-coordinates, we can simply substitute it into the linear equation and evaluate. Thus:
And:
Thus, our two intersection points are:
Ответ:
learn yourself
Explanation: if u payed ttenion in class u would know