Use order of operations or PEMDAS
this is order of simplification
work from left to right
Parentahsees (grouping symbols)
Exponents
multiplication or division
addition or subtraction
so
replace a with 1, b=2 and c with -8
![-2(3(1)-6)^2+5(-8) / 4*(-3)-(-2(2))^3](https://tex.z-dn.net/?f=-2%283%281%29-6%29%5E2%2B5%28-8%29%20%2F%204%2A%28-3%29-%28-2%282%29%29%5E3)
![-2(3-6)^2+5(-8) / 4*(-3))-(-2(2))^3](https://tex.z-dn.net/?f=-2%283-6%29%5E2%2B5%28-8%29%20%2F%204%2A%28-3%29%29-%28-2%282%29%29%5E3)
![-2(-3)^2+5(-8) / 4*(-3)-(-2(2))^3](https://tex.z-dn.net/?f=-2%28-3%29%5E2%2B5%28-8%29%20%2F%204%2A%28-3%29-%28-2%282%29%29%5E3)
![-2(-3)^2+5(-8) / 4*(-3)-(-4)^3](https://tex.z-dn.net/?f=-2%28-3%29%5E2%2B5%28-8%29%20%2F%204%2A%28-3%29-%28-4%29%5E3)
now exponents
![-2(9)+5(-8) / 4*-3)-(-4)^3](https://tex.z-dn.net/?f=-2%289%29%2B5%28-8%29%20%2F%204%2A-3%29-%28-4%29%5E3)
![-2(9)+5(-8) / 4*(-3)-(-64)](https://tex.z-dn.net/?f=-2%289%29%2B5%28-8%29%20%2F%204%2A%28-3%29-%28-64%29)
multiply and divide, working from left to right (remember, division is multiplication by a fraction)
![-18+5(-8) / 4*(-3)-(-64)](https://tex.z-dn.net/?f=-18%2B5%28-8%29%20%2F%204%2A%28-3%29-%28-64%29)
![-18-40 / 4*(-3)-(-64)](https://tex.z-dn.net/?f=-18-40%20%2F%204%2A%28-3%29-%28-64%29)
![-18-10*(-3)-(-64)](https://tex.z-dn.net/?f=-18-10%2A%28-3%29-%28-64%29)
![-18+30-(-64)](https://tex.z-dn.net/?f=-18%2B30-%28-64%29)
![-18+30-1(-64)](https://tex.z-dn.net/?f=-18%2B30-1%28-64%29)
![-18+30+64](https://tex.z-dn.net/?f=-18%2B30%2B64)
addition and subtraction
![12+64](https://tex.z-dn.net/?f=12%2B64)
4+7=11 i.e. The whole.
7/11=28
1/11=4
Goats are 4/11 therefore
4 x 4= Ans
All the animals add up to 44 and if you check w/ 7/11 it is correct.
A 8
If width is x, then length is 3x
x+x+3x+3x = 8x= 64, then x=8 m
Answer:
A) (20,-3)
Step-by-step explanation:
we know that
If a ordered pair lie on the circle, then the ordered pair must satisfy the equation of the circle
we have
![x^{2} +(y-12)^2=25^2](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%28y-12%29%5E2%3D25%5E2)
The center of the circle is the point (0,12) and the radius is r=25 units
<u><em>Verify </em></u>
A) (20,-3)
substitute the value of x and y in the equation and then analyze the result
![20^{2} +(-3-12)^2=25^2](https://tex.z-dn.net/?f=20%5E%7B2%7D%20%2B%28-3-12%29%5E2%3D25%5E2)
----> is true
therefore
The ordered pair lie on the circle
B) (-7,24)
substitute the value of x and y in the equation and then analyze the result
![-7^{2} +(24-12)^2=25^2](https://tex.z-dn.net/?f=-7%5E%7B2%7D%20%2B%2824-12%29%5E2%3D25%5E2)
----> is not true
therefore
The ordered pair not lie on the circle
C) (0,13)
substitute the value of x and y in the equation and then analyze the result
![0^{2} +(13-12)^2=25^2](https://tex.z-dn.net/?f=0%5E%7B2%7D%20%2B%2813-12%29%5E2%3D25%5E2)
----> is not true
therefore
The ordered pair not lie on the circle
D) (-25,-13)
substitute the value of x and y in the equation and then analyze the result
![-25^{2} +(-13-12)^2=25^2](https://tex.z-dn.net/?f=-25%5E%7B2%7D%20%2B%28-13-12%29%5E2%3D25%5E2)
----> is not true
therefore
The ordered pair not lie on the circle
-- When Riko left the house, Yuto was 5.25 miles ahead of her.
-- From the time she left the house, she gained (0.35 - 0.25) = 0.1 mile on Yuto
every minute ... closing the gap at the rate of 0.1 mile per minute.
-- If she can keep it up, she'll close the gap in (5.25 / 0.1) = 52.5 minutes.
-- Riko is behind her brother when 0 ≤ t < 52.5 minutes .