Answer:
24
Step-by-step explanation:
I did the math
2
x
2
−
5
x
−
3
=
0
Step 3: Factor left side of equation.
(
2
x
+
1
)
(
x
−
3
)
=
0
Step 4: Set factors equal to 0.
2
x
+
1
=
0
or
x
−
3
=
0
x
=
−
1
2
or
x
=
3
Answer:
x
=
−
1
2
or
x
=
3
Answer:
6 hours
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
Let
x ----> the hours a soccer team practiced after the season started
y ----> the total practice time for the year in hours
we know that
The y-intercept of a linear equation is the value of x when the value of y is equal to zero
In the context of this problem, the y-intercept is the total practice time before the season began (the value of x is equal to zero)
Looking at the graph
The y-intercept is the point (0,6)
therefore
the total practice time before the season began is 6 hours
Looking at the figure, we can see that both triangles are right triangles. Therefore, we can apply pythagorean theorems. A right triangle contains a hypotenuse, which is the longest side. In the figure, that would be sides with length 4 and 12. The equation for this is:
c = √(^2 + b^2) , where c is the hypotenuse and a and b are the other shorter sides
To determine z:
4 = √(z^2 + 3^2)
z = 2.65
To determine x:
12 = √(x^2 + 6^2)
x = 10.39
If the radius of the cone is 9 inches,
then the volume of the cone is
(81 pi) x (the height of the cone, inches) cubic inches