1.) -8 + 10(6 + 4r)
First multiply the 10 into (6 + 4r)
-8 + 60 + 40r
52 + 40r
2.) (8m² - 8m + 8) - (2m - 7m² - 6)
Distribute the - into (2m - 7m² - 6)
8m² - 8m + 8 - 2m + 7m² + 6
Combine like terms
15m² - 10m + 14
(idk if you need to factor this or if you can leave it as is)
Step-by-step explanation:
Area of the octagon = 2(1+√2)8=309.02 units
Answer:
Step-by-step explanation:
g(x)=3(10-x)^2-8
=3(12)^2-8
=144*3-8
=432-8
=424
Y intercept is +1
Slope is 1/2
Y= 1/2x + 1
Answer:

Step-by-step explanation:
Look at the component form of each vector.
Note that vector c is <4,4> and vector d is <-2,-2>
If one imagined the line that contained each vector, the line for both would have a slope of 1, because 
Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).
If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector. This means that there is some number "k", such that
, or equivalently,
and
.
If
and
, we just need to substitute known values and solve for k:

Double checking that k works for the y-coordinates as well:

? 

So, 