We have a circumference that is given by the following equation:
We can write this equation in its standard form as follows:
On the other hand, the linear function is given as the following table:

To check if the circle and the line intersects, let's substitute the equation of the line into the equation of the circle to see if there is a real solution, so:

Finally the intersects are:

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Answer:
k = -7/9
Step-by-step explanation:
9k + 3 = -4
9k = -7
k = -7/9
On the number line just make a closed circle at -7/9. No line would be drawn, just the dot
-7/9 would be between 0 and -1, closer to -1
Answer: x=-2, y=2
Step-by-step explanation:
(SUBSTITUTION)
= 4x+4-x=2
x=-2
3y=4 x (-2)
y= 2
Answer:
To find the lateral surface area, we will find half of the perimeter of the base and multiply it by the slant height of the side triangles. Each triangle has a slant height. The slant height is the height of each triangle, not the height of the pyramid.
Step-by-step explanation:
h = 50 cos ( pie(x - 10 )/15 ) + 52
80 = 50 cos ( pie( x - 10 )/15 ) + 52
80 - 52 = 50 cos ( pie( x - 10 )/15 )
28 = 50 cos ( pie( x - 10 )/15 )
cos ( pie( x - 10 )/15 ) = 28/50
cos ( pie( x - 10 )/15 ) = 56/100
cos ( pie( x - 10 )/15 ) = cos ( 56 )
cos ( pie( x - 10 )/15 ) = cos ( 0.3111 pie )
Thus ;
pie( x - 10 )/15 = 0.3111 pie
( x - 10 )/15 = 0.3111
x - 10 = 15 × 0.3111
x - 10 = 4.6665
x = 10 + 4.6665
x = 14.6665 [ approximately ]
Thus the correct answer is exactly what u chose goodjob .....