Area of a parallelogram=base x heigth
Data:
base=(2x+3)
heigth=(ax+5)
area of this parallelogram=8x²+bx+15
Therefore:
8x²+bx+15=(2x+3)(ax+5)
8x²+bx+15=2ax²+10x+3ax+15
8x²+bx+15=2ax²+(10+3a)x+15
Then:
8x²=2ax²
a=(8x²)/(2x²)=4
bx=(10+3(4))x
bx=(10+12)x
b=22x/x=22
Answer: a=4 and b=22.
Answer: 1. Given
2. Corresponding angles
3. Alternate interior angles theorem
4.Corresponding angles
5.Alternate exterior angles
<em>If this guy doesn't use the letter m, then the first and second characters of the password could be any of the 25 remaining letters. So, the number of possible combinations of 2 letters is 25 times 25, or 625.
If he doesn't use the digit 0, how many digits are left to choose from?
The first 2 characters of the password will be letters; after that there come four digits. How many different combinations of 4 digits are there if 0 is not used?
To obtain the final result, mult. together that 625 and the number of possible combinations of digits just found above.</em>

This is found by the volume of a cone formula

Where b is the base and h is the height

Answer:
D. y = 3/5x + 13/5
Step-by-step explanation:
The slope of the desired line is the ratio of the difference in y-values to the difference in x-values:
m = Δy/Δx = (2 -5)/(-1 -4) = -3/-5 = 3/5 . . . . . . eliminates choices B and C
The slope-intercept equation will then be ...
y = mx + b . . . . . . . generic slope-intercept form
y = 3/5x + b . . . . . . put in m; true for some b that puts the given points on the line
Using the first point, we have ...
5 = 3/5×4 + b
25/5 = 12/5 + b
13/5 = b . . . . . . . . . subtract 12/5
Then the equation is ...
y = 3/5x + 13/5
_____
You know as soon as you consider putting a point value in the equation ...
y = 3/5x + b
that the equation of choice A cannot work. That only leaves choice D.