The distance between the two points is 22.14 units
<h3>How to determine the distance between the two points?</h3>
The endpoints of the line segment are given as
(4,9) and (11, -12)
This can be rewritten as
(x, y) = (4,9) and (11, -12)
The distance between the endpoints of the segment is then calculated using the following distance formula
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where
(x, y) = (4,9) and (11, -12)
Substitute the known values in the above equation, so, we have the following representation
Distance = √[(4 - 11)² + (9 + 12)²]
Evaluate
Distance = 22.14
Hence, the distance is 22.14 units
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Answer:
2
Step-by-step explanation:
Answer:
The answer would be one triangle. it is only one triangle because the sum of the angles of any triangle have to equal 180°. So if you add all of the angles you gave us, that would equal 180°.
I hope that was the answer you were looking for.
Step-by-step explanation:
Answer: I think it's no, sorry if I can't help
Step-by-step explanation:
Answer:
V(max) = 8712.07 in³
Dimensions:
x (side of the square base) = 16.33 in
girth = 65.32 in
height = 32.67 in
Step-by-step explanation:
Let
x = side of the square base
h = the height of the postal
Then according to problem statement we have:
girth = 4*x (perimeter of the base)
and
4* x + h = 98 (at the most) so h = 98 - 4x (1)
Then
V = x²*h
V = x²* ( 98 - 4x)
V(x) = 98*x² - 4x³
Taking dervatives (both menbers of the equation we have:
V´(x) = 196 x - 12 x² ⇒ V´(x) = 0
196x - 12x² = 0 first root of the equation x = 0
Then 196 -12x = 0 12x = 196 x = 196/12
x = 16,33 in ⇒ girth = 4 * (16.33) ⇒ girth = 65.32 in
and from equation (1)
y = 98 - 4x ⇒ y = 98 -4 (16,33)
y = 32.67 in
and maximun volume of a carton V is
V(max) = (16,33)²* 32,67
V(max) = 8712.07 in³
