This is a system of equations. You can solve it by substitution or elimination. I'm going to use substitution x - 2y = -4.5; add 2y to each side x - 2y + 2y = -4.5 + 2y; simplify x = 2y - 4.5 2(2y - 4.5) + 3y = 12 4y - 9 + 3y = 12 7y - 9 = 12 7y - 9 + 9 = 12 + 9 7y = 21 y = 3 <--------first answer x - 2y = -4.5 x - 2(3) = -4.5 x - 6 = -4.5 x -6 + 6 = -4.5 + 6 x = 1.5 <--------second answer Check: 2(1.5) + 3(3) = 12? 3 + 9 = 12? 12 = 12; It checks 1.5 - 2(3) = -4.5? 1.5 - 6 = -4.5? -4.5 = -4.5; It checks x = 1.5 and y = 3 <-----------Final Answer
Answer:
Linear and non-homogeneous.
Step-by-step explanation:
We are given that
We have to convert into y'+P(x)y=g(x) and determine P(x) and g(x).
We have also find type of differential equation.
It is linear differential equation because this equation is of the form
y'+P(x)y=g(x)
Compare it with first order first degree linear differential equation
Homogeneous equation
Degree of f and g are same.
Degree of f and g are not same .
Therefore, it is non- homogeneous .
Linear and non-homogeneous.
The second area was translated 1 unit right and 6 units down to form the third exhibit area.
<h3>
Transformation</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, dilation and rotation.
Translation is the movement of a point either up, down, left or right.
Given the translation (x,y)→(x+1,y+6). Hence:
The second area was translated 1 unit right and 6 units down to form the third exhibit area.
Find out more on Transformation at: brainly.com/question/1462871
I’m hungry now that looks extremely good rn
Answer: A) 4
Explanation:
For any 30-60-90 triangle, the short leg is half as long as the hypotenuse.
The short leg is opposite the smallest angle (30 degrees), so we see that
x = 8/2 = 4.
