Answer: -22
Step-by-step explanation:
In the first question, we can simplify 2√8 to 4√2, making it :
(√10 + 4√2)(√10 - 4√2)
When you FOIL, √10(√10) = 10, and 4√2 * -4√2 = -32. The others cancel each other out. So -32 + 10 = -22.
Pick any two points
(0, 3), (-1,9)
Find slope (y2-y1)/(x2-x1)
(9-3)/(-1-0) = 6/-1 = -6
Y = -6x + b
Plug in a point
3 = 0 + b, b= 3
Final equation: y = -6x + 3
Answer:
2
Step-by-step explanation:

we start simplifying by removing the parenthesis
Multiply the exponents inside the the parenthesis
3^4 * 2^4

Now we apply exponential property
a^m * a^n = a^ (m+n)
3^4 * 3^-3 = 3^ (4-3) = 3^1
3 or 3^1 are same

3^1 at the top and bottom so we cancel it out
\frac{2^4}{2^3}
we apply log property . a^m / a^n = a^m-n
Now subtract the exponents
2^(4-3) = 2^1 = 2
$2.04 is the answer because 1 pen costs $1.02
¾ an hour is 45 minutes
So to have your answers you need to do a cross product :
45 minutes —> 2/3 of a chapter
60 minutes —> X of a chapter
((2/3) • 60) / 45
40/45 = 8/9
Answer : You read 8/9 of a chaper per hour! :)