Step-by-step explanation:
p/2 = 3/4 + p/3
p/2 - p/3 = 3/4
(3p - 2p )/6 = 3/4
p/6 = 3/4
multiply both sides by 6
p = 3×6/4
=18/4
=9/2
=4.5
This DE has characteristic equation

with a repeated root at r = 3/2. Then the characteristic solution is

which has derivative

Use the given initial conditions to solve for the constants:


and so the particular solution to the IVP is

For line B to AC: y - 6 = (1/3)(x - 4); y - 6 = (x/3) - (4/3); 3y - 18 = x - 4, so 3y - x = 14
For line A to BC: y - 6 = (-1)(x - 0); y - 6 = -x, so y + x = 6
Since these lines intersect at one point (the orthocenter), we can use simultaneous equations to solve for x and/or y:
(3y - x = 14) + (y + x = 6) => 4y = 20, y = +5; Substitute this into y + x = 6: 5 + x = 6, x = +1
<span>So the orthocenter is at coordinates (1,5), and the slopes of all three orthocenter lines are above.</span>
Answer:
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Step-by-step explanation:
Perímetro del rectángulo = 74 pulgadas
Deje que el ancho del rectángulo sea 'x'.
Entonces, la longitud de este rectángulo = x + 5
We know that :

Lo que significa :







Por lo tanto, el ancho de este rectángulo = 16 pulgadas
Entonces, la longitud de este rectángulo :



La longitud de este rectángulo = 21 pulgadas
<h2>Por lo tanto :</h2>
● Longitud del rectángulo = <em>21 pulgadas</em>
● Ancho del rectángulo = <em>16 pulgadas</em>