X+y+5=0
y=-x-5
If a solution exists y=y so we can say
x^2-9x+10=-x-5 add x+5 to both sides
x^2-8x+15=0 now factor
x^2-3x-5x+15=0
x(x-3)-5(x-3)
(x-5)(x-3) so x=3 and 5, using y=-x-5
y(3)=-8 and y(5)=-10
So the two solutions are:
(3,-8) and (5,-10)
Answer:
Step-by-step explanation:
1.
To write the form of the partial fraction decomposition of the rational expression:
We have:

2.
Using partial fraction decomposition to find the definite integral of:

By using the long division method; we have:


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So;

By using partial fraction decomposition:


x + 20 = A(x + 2) + B(x - 10)
x + 20 = (A + B)x + (2A - 10B)
Now; we have to relate like terms on both sides; we have:
A + B = 1 ; 2A - 10 B = 20
By solvong the expressions above; we have:

Now;

Thus;

Now; the integral is:


3. Due to the fact that the maximum words this text box can contain are 5000 words, we decided to write the solution for question 3 and upload it in an image format.
Please check to the attached image below for the solution to question number 3.
Answer:
- to find the volume will apply this formula
(pie)3.141592654 × radius square × height.
- so 3.141592654 × 324 × 12
- ans 12214.51224 or 3888pie
- the picture is wrong
Answer:
Her unit rate remained the same
Step-by-step explanation:
80 is twice as much as 40. 5 minutes is twice as long as 2 1/2 minutes. Her unit rate never changed.
Answer:
The type of transformation that is used here is translation. Translation is when one shape slides to another location. According to the picutre, the shape is the same size and not rotated. Therefore, it is a translation.