Alright, lets get started.
The length of each section what carpenter needs to cut is 3 feet and 8 inches.
Converting 3 feet and 8 inches into feet only, we know,
So, 3 feet 8 inches = feet
It means length of each section = feet
Carpenter needs to cut 4 sections, so length of 4 sections will be =
2/3 feet means 8 inches so she needs board 14 feet 8 inches
Board is only sold by the feet only so, she has to puchase 15 feet board. : Answer
Hope it will help :)
Answer:
(x - 6)² + (y - 2)² = 128
Step-by-step explanation:
Given as the circle has center ( 6 , 2)
and it passes through points (-2 , -6)
Now , standard equation of circle is (x -a)² + (y- b)² = r² , where (a , b) is center and r is the radius .
Again from given center the circle equation is
(x- 6)² + (y- 2)² = r²
Now this circle passes through points (-2 , -6)
so, (-2 -6)² + (-6 -2)² = r²
so, 8² + 8² = r²
Or, 128 = r²
i.e Radius pf this circle = 8
Hence the circle equation formed is
(x- 6)² +( y-2)² = 128 Answer
Answer:
The coordinates of the vertex are (-5, 41)
Step-by-step explanation:
For a quadratic function of the form
Where a, b and c are constants and represent the coefficients of the function, then the symmetry of the parabola always passes through its vertex.
In this case we have the following parabola
And we know that its axis of symmetry is the line
Then we know that this axis of symmetry passes through the vertex of the parabola.
Therefore, the x coordinate of the vertex is -5.
To find the coordinate in y of the vertex, we substitute x = -5 in the function.
Finally, the vertices are in the point (-5, 41).
