I am in need of help

Mathematics

1 answer:

kvv77 [185]3 years ago

8 0

CAD= BAD
AD=AD( the same side of two angles).

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Find the value of x in the triangle shown below. O C = 3.5 4 xº 55° 3.5

sergeinik [125]

Answer:

okay so the answer is 70°

Step-by-step explanation:

the triangle has two sides equal meaning its a scalene triangle. now bases scalene triangles have two angles equal. hence sum of angles in the triangle sum up to 180° please. rate. me brainliest. if I'm. right

$55 + 55 + x = 180 \\ 110 + x = 180 \\ x = 180 - 110 \\ x = 70degrees$

3 0

2 years ago

Solve y' + 2xy = 2x^3, y(0) = 1.

dalvyx [7]

This is an ODE of the form y' + P(x)y = Q(x)
IF = $e^{ \int\limits {P(x)} \, dx }=e^{ \int\limits {2x} \, dx }=e^{x^2}$
Multiply through by IF
$e^{x^2}y'+2xe^{x^2}y=2x^3e^{x^2} \\ (e^{x^2}y)'=2x^3e^{x^2} \\ \int {(e^{x^2}y)'} \, dx = \int {2x^3e^{x^2}} \, dx \\ e^{x^2}y=x^2e^{x^2}-e^{x^2} + c \\ y=c_1e^{-x^2}+x^2-1$
But y(0) = 1
$1=c_1e^{-(0)^2}+(0)^2-1 = c_1-1 \\ c_1=1+1=2$
Therefore, solution is
$y=2e^{-x^2}+x^2-1$