Answer:
w = 4
Step-by-step explanation:
you would do this by re-arranging the equation
6 = 5w-10-w (move w to the other side)
6 = 4w-10 (because 5w-w = 4w)
6+10=4w (move 10 to the other side)
16 = 4w (add 6 and 10)
4 = w (divide both sides by 4)
Answer:
9.33 feet = 111.96 inches
Step-by-step explanation:
If we have similar triangles, the rate between matching sides is the same.
So the length of the smaller ladder (18 ft) over the length of the taller ladder (24 ft) is equal to the distance from the bottom of the smaller ladder to the tree (7 ft) over the distance from the bottom of the taller ladder to the tree (x ft):
18 / 7 = 24 / x
x = 7 * 24 / 18
x = 9.33 feet
To find this measure in inches, we just need to multiply by 12:
x = 9.33 * 12 = 111.96 inches
Answer:
The vertex and the axis of symmetry in the attached figure
Step-by-step explanation:
we know that
The equation of a vertical parabola written in vertex form is equal to

where
a is the leading coefficient
(h,k) is the vertex of the parabola
and the equation of the axis of symmetry is equal to the x-coordinate of the vertex

In this problem
we have

This is a vertical parabola written in vertex form open upward
The vertex is a minimum
where
the vertex is the point (5,-7)
the x-coordinate of the vertex is 5
so
the equation of the axis of symmetry is equal to

The graph in the attached figure