Answer:( 2 xy ) y - ( 2 xy ) z = 2 xy ( ) . 5. ... X + ?. 9. 32 ad + 20 ac . 15. 27 2- 30 t . 4. ab - b . 10. 48 g + 6 r . 16. 32 ax 5. ... 18 bc +45 ab . ... 1 that the rectangle of sides x + y and x + y , or the square of side x + y , у is the ... Find ( x - y ) 2 by multiplication .
or
2 xy ) y - ( 2 xy ) z = 2 xy ( ) . 5. ... X + ?. 9. 32 ad + 20 ac . 15. 27 2- 30 t . 4. ab - b . 10. 48 g + 6 r . 16. 32 ax 5. ... 18 bc +45 ab . ... 1 that the rectangle of sides x + y and x + y , or the square of side x + y , у is the ... Find ( x - y ) 2 by multiplication .
Step-by-step explanation:
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Answer:
k = 30, 
Step-by-step explanation:
Since
is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

Then, replacing the derivatives in the equation we have:

Since
is a positive function, we have that
.
Now, consider a general solution
, then, by calculating the derivatives and replacing them in the equation, we get

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.
Therefore, the general solution is

Answer:
The equation of the function: y = mx + b
- m = slope = (y₂ - y₁)/(x₂ - x₁) = [5 - (-3)]/(4 - 0) = (5 + 3)/4 = 8/4 = 2
- b = y-intercept = -3
Therefore, the equation is <u>f(x) = 2x - 3</u>
When x = 0, f(x) = 2(0) - 3 = <u>-3</u>
When x increases by 1, f(x) increases by <u>2</u> (slope = the rate of change)
Answer:



Step-by-step explanation:
First, let's look at the largest triangle (two smaller triangles are combined) to solve for
. Since the sum of the angles in a triangle adds up to
, we can write the equation:



Looking at the smaller triangle on the left,
(exterior angle) is the sum of the two opposite interior angles of the triangle on the left:


Since
is the exterior angle of the triangle on the right, it is equivalent to the sum of the opposite interior angles of that triangle:



Hope this helps :)