Answer:
A: 9/40
Step-by-step explanation:
Hopefully this helps!
Answer:
306 seniors
Step-by-step explanation:
117 seniors who quit + 189 seniors who continued = 306 seniors who started taking dance classes in the fall.
Answer:
(- 4, 2 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y )→ (x, - y ), thus
(- 4, - 2 ) → (- 4, 2 )
9514 1404 393
Answer:
(3.5, 4.5)
Step-by-step explanation:
That point will be the midpoint of either diagonal.
(A +C)/2 = ((-1, 3) +(8, 6))/2 = (-1+8, 3+6)/2 = (7, 9)/2 = (3.5, 4.5)
The center of the rhombus is (3.5, 4.5).
Answer:
The product of 8x(5x−6) is 40x2−48x
The product of (x−3)(5x−6) is 5x2−21x+18
Step-by-step explanation:
<u><em>Verify each case</em></u>
case 1) The product of 8x(5x−6) is 40x2−48x
we have
![8x(5x-6)](https://tex.z-dn.net/?f=8x%285x-6%29)
Apply distributive property
![8x(5x)-8x(6)](https://tex.z-dn.net/?f=8x%285x%29-8x%286%29)
![40x^2-48x](https://tex.z-dn.net/?f=40x%5E2-48x)
Compare
----> is true
case 2) The product of −4x(2x2+1) is −8x3−5x
we have
![-4x(2x^2+1)](https://tex.z-dn.net/?f=-4x%282x%5E2%2B1%29)
Apply distributive property
![-4x(2x^2)-4x(1)](https://tex.z-dn.net/?f=-4x%282x%5E2%29-4x%281%29)
![-8x^3-4x](https://tex.z-dn.net/?f=-8x%5E3-4x)
Compare
-----> is not true
case 3) The product of (x−3)(5x−6) is 5x2−21x+18
we have
![(x-3)(5x-6)](https://tex.z-dn.net/?f=%28x-3%29%285x-6%29)
Apply distributive property
![x(5x)-x(6)-3(5x)+3(6)](https://tex.z-dn.net/?f=x%285x%29-x%286%29-3%285x%29%2B3%286%29)
![5x^2-6x-15x+18](https://tex.z-dn.net/?f=5x%5E2-6x-15x%2B18)
![5x^2-21x+18](https://tex.z-dn.net/?f=5x%5E2-21x%2B18)
Compare
----> is true
case 4) The product of (2x+3)(x2+3x−5) is 2x3+9x2+9x−25
we have
![(2x+3)(x^2+3x-5)](https://tex.z-dn.net/?f=%282x%2B3%29%28x%5E2%2B3x-5%29)
Apply distributive property
![2x(x^2)+2x(3x)-2x(5)+3(x^2)+3(3x)-3(5)](https://tex.z-dn.net/?f=2x%28x%5E2%29%2B2x%283x%29-2x%285%29%2B3%28x%5E2%29%2B3%283x%29-3%285%29)
![2x^3+6x^2-10x+3x^2+9x-15](https://tex.z-dn.net/?f=2x%5E3%2B6x%5E2-10x%2B3x%5E2%2B9x-15)
![2x^3+9x^2+2x-15](https://tex.z-dn.net/?f=2x%5E3%2B9x%5E2%2B2x-15)
Compare
----> is not true