Answer:
Step-by-step explanation:
Given that a tangent is drawn from P (6,2) to unit circle with center at the origin.
The tangent passing through (6,2) would have equaiton of the form
for suitable m.
Because this line is tangent, distance of centre of circle namely origin is the radius 1.
i.e. ![|\frac{-2m+6}{\sqrt{1+m^2} } |=1\\(-2m+6 )^2 = 1+m^2\\3m^2-24m+35=0\\\\m=1.918, 6.082](https://tex.z-dn.net/?f=%7C%5Cfrac%7B-2m%2B6%7D%7B%5Csqrt%7B1%2Bm%5E2%7D%20%7D%20%7C%3D1%5C%5C%28-2m%2B6%20%29%5E2%20%3D%201%2Bm%5E2%5C%5C3m%5E2-24m%2B35%3D0%5C%5C%5C%5Cm%3D1.918%2C%206.082)
the coordinates are the intersection of the tangent with the circle
They are (-0.162, 0.987) and (0.462,-0.887)
The parabola hits (-2,1) and (0,-1).
As you can see from the pictures, we can immediately cross out options B and D, since both parabola open upwards.
From the pictures, we can see that the answer is C, since only that parabola opens downwards and hits the points (-2,1) and (0,-1).
Hello!
To find the y-intercept you put in 0's for x
-2(0) + 4(0) + 1 = 1
The answer is (0, 1)
Hope this helps!
Answer:
Step-by-step explanation:
Let x represent the number of rides Beth rides and y represent the number of exhibits she views.
Each ride costs $7 to ride and each exhibit costs $3 to view.
This means that x rides will cist x × 7 = $7x
Also, if she views y exhibits, the cost will be y × 3 = $3y.
Total cost of x rides and y views will be 7x + 3y
if she has at most $98 to spend at the fair, it means that all she can spend must be lesser than or equal to $98
The required expression will be
7x + 3y </=8
the answer is b. the rest is so it can be enough charecters so i can post this answer