Answer:
Step-by-step explanation:
slope m= (y2-y1) / (x2-x1) = 15-12 / 4-4 = 3/0 is undefined since we can not divide by 0
slope is undefined so the line is vertical
Answer:
(25)-(3)
Step-by-step explanation:
Answer:
Circumcenter theorem states that the vertices of the each triangle are equidistant from the circumcenter.
As per the statement:
It is given that: P is the circumference
From the given figure:
CP = 12 units.
then;
by circumcenter theorem;
AP= BP =CP = 12 units.
Next find the value of AB:
Labelled the diagram:
AD = 11 units
then;
AB = AD+DB
Since: AD=DB [You can see it from the given figure]
then;
AB = 2AD = 2(11) = 22 units
Therefore, the value of BP and AB are: 12 units and 22 units
The horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
<u>Explanation:</u>
Given:
h(x) = -0.026x² + 0.563x + 3
where,
h(x) is the height of the water
Initial speed, u = 14m/s
angle, θ = 30°
(a)
Horizontal distance = ?
h(x) = ax² + bx + c
the vertex is found at x = -b/2a
where,
x = distance to the maximum height
As compared to the equation given:
a = -0.026
b = 0.563
Thus,
Therefore, horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
<h3>
Answer: 426 square feet</h3>
Work Shown:
A = area of the rectangle
A = length*width
A = 26*15
A = 390 square feet
B = area of the triangle
B = base*height/2
B = 8*9/2
B = 72/2
B = 36 square feet
C = total area
C = A+B
C = 390+36
C = 426 square feet