Answer:
A.
Step-by-step explanation:
y = mx + c
m = y - y¹ / x - x¹
= 4-3 / 4-2
= 1/2
using (4,4)
4 = 1/2 × 4 + c
4 = 2 + c
c = 2
equ..=
y = 1/2x + c
Answer:
The resulting three-dimensional object will be a cone
Step-by-step explanation:
Plot the figure to better understand the problem'
we have
a triangular cross-section with coordinates at (1, 1), (1, 4), and (3, 1)
The draw in the attached figure
we know that
When rotating a a right triangle about a leg, the three dimensional figure formed is a cone
The radius of the cone will be equal to the base of right triangle and the height of the cone will be equal to the height of the triangle
so
The radius of the cone will be equal to 2 units and the height of the cone will be 3 units
see the attached figure to better understand the problem
Answer:
There is no solution of the system of equations.
Step-by-step explanation:
We are given two equations y = - 4 and y = 4 and are to find the solution to the equations.
Now, the straight line y = - 4 is parallel to the x-axis as the equation of straight lines that are parallel to the x-axis are given by y = c, where c is any constant value.
Again, the straight line y = 4 is parallel to the x-axis.
Therefore, y = - 4 and y = 4 two lines are parallel to each other and we know, parallel lines never intersect and hence there is no solution of the system of equations. (Answer)
The relationship between arc, radius, and central angle in radians is:
Θ = s/r
So just plugging in the values:
Θ = (5π/3)/7 = 5π/21 ≈ 0.748 or 0.7
Length = √(y2-y1)² + (x2-x1)²
l = √(5 - 5)² + (9 + 2)²
l = √0² + 11²
l = √121
l = 11
In short, Your Answer would be 11 units
Hope this helps!