In quadrant IV, 
is positive. So
Then by the definition of tangent,
Answer:
To get the x-intercept we need the equation of the parabola;
the vertex form of the equation is given by:
y=a(x-h)^2+k
where:
(2,13) is the vertex:
Therefore;
y=a(x-2)^2+13
when x=0, y=5
Therefore the value of a will be:
5=a(0-2)^2+13
5-13=4a
4a=-8
a=-2
therefore the equation of the parabola will be:
y=-2(x-2)^2+13
y=-2x^2+8x+5
the x-intercept will be:
x=2-sqrt(7.5)
or
x=2+sqrt(7.5)
Step-by-step explanation:
48 percent of the kids are females and 52 percent are males
Answer:
Step-by-step explanation:
Givens
- The top soil weighs 40 pounds per bag.
- The mulch weighs 20 pounds per bag.
- The cart can only carry up to 480 pounds.
Notice that the restriction is a maximum of 480 pounds, that means the inequality must include the sign 
.
Now, let's call 
the top soil and 
the mulch, the inequality that represents this problem, would be
Answer:
The answer is 67 degrees.
Step-by-step explanation:
The angle x is supplementary with 23 degrees because that angle is an alternate interior. Recall that is within a right angles as well so
90 - 23 = 67
