Answer:
see explanation
Step-by-step explanation:
the equation of a circle in standard form is
(x - a)² + (y - b)² = r²
where (a, b) are the coordinates of the centre and r is the radius
(x - 8)² + (y + 6)² = 13 is in this form
with centre = (8, - 6) and r = 
<span>-24=2(x-4)
Use distributive property
-24=2x-8
Add 8 to both sides
-16=2x
Divide 2 on both sides
Final Answer: -8=x</span>
As you may already be familiar, these functions f(x) and g(x) are piecewise. They consist of multiple functions with different domains.
1. For #1, the given input is f(0). Since 0≤1, you should use the first equation to solve. f(0)=3(0)-1 ➞ f(0)=-1
2. Continue to evaluate the given input for the domains given. 1≤1, therefore f(1)=3(1)-1➞f(1)=2
3. 5>1, therefore f(5)=1-2(5)➞f(5)=-9
4. -4≤1; f(-4)=3(-4)-1➞f(-4)=-13
5. -3<0<1; g(0)=2
6. -3≤-3; g(-3)=3(-3)-1➞g(-3)=-10
7. 1≥1; g(1)=-3(1)➞g(1)=-3
8. 3≥1; g(3)=-3(3)➞g(3)=-9
9. -5≤-3; g(-5)=3(-5)-1➞g(-5)=-16
Hope this helps! Good luck!
Hey! Just in case you have to show your work.
89(54x-36)+2=-3/4(-40+16x)+90x
4806x-3204+2=-3/4×4(-10+4x)+90x
4806x-3202=30-12x+90x
4806x-78x=30+3202
4728x=3232
3232÷4728=
X=404/591
Answer:
The width of the border can be 9 feet or 3.5 feet.
Step-by-step explanation:
Let the width be x
Length of room = 10 feet
Breadth of room = 15 feet
Length of rug = 10-2x
Breadth of rug = 15-2x
Area of rug = 
We are given that the area of the rug is 24 square feet.
So, 
---A
Substitute x =9 in A
LHS = RHS
Substitute x = 3.5
LHS = RHS
So, The width of the border can be 9 feet or 3.5 feet.
