Answer:
Hi there!
Your answer is:
$72.45
Step-by-step explanation:
[28+ (28× .15) ] + [ 35 + (35× .15) ]
( 28+ 4.2) + (35 + 5.25)
32.2 + 40.25
72.45
Hope this helps
Answer:
The lines would be equal, meaning the slope of the red line is also -3.
Step-by-step explanation:
SIMPLE:
Parallel lines have the same slope.
Answer:
∠ XYZ ≈ 72.9°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanXYZ =
=
=
, thus
XYZ =
(
) ≈ 72.9° to 1 dec. place )
Consecutive numbers differ by one, which means that if you start with a certain integer
, you obtain the next integer by adding one.
So, if you start with
, the three consecutive numbers are
![n+1,\quad (n+1)+1 = n+2,\quad (n+2)+1 = n+3](https://tex.z-dn.net/?f=%20n%2B1%2C%5Cquad%20%28n%2B1%29%2B1%20%3D%20n%2B2%2C%5Cquad%20%28n%2B2%29%2B1%20%3D%20n%2B3%20)
The sum of these three numbers is
![(n+1) + (n+2) + (n+3) = 3n+6](https://tex.z-dn.net/?f=%20%28n%2B1%29%20%2B%20%28n%2B2%29%20%2B%20%28n%2B3%29%20%3D%203n%2B6%20)
This number is divisible by 3 because you can write it as
![3n+6 = 3(n+2)](https://tex.z-dn.net/?f=%203n%2B6%20%3D%203%28n%2B2%29%20)
Note that this is true in general: the sum of three consecutive numbers is always divisible by three, because it is three times the middle number.
Answer:
The equation in standard form is: 3b^2 + 2b - 8.