Answer: Second option.
Step-by-step explanation:
The Slope-Intercept form of the equation of the line is:
Where "m" is the slope of the line and "b" is the y-intercept.
You know that the second equation of the System of equations given in the exercise is:
Then, you need to solve for the variable "y" in order to write it in Slope-Intercept form. The steps are:
1. Apply the Distributive property and simplify:
2. Now subtract 6 from both sides of the equation:
3. Subtract 
from both sides of the equation:
4. Subtract 
from both sides:
5. Divide both sides by -2:
The equation for finding the equation of an arithmetic sequence is an=a1+(n-1)d, where n is the input for the sequence, a1 is the first term, and d is the difference between each term.
a1= 1/4
d= 1/4
an= 1/4 + (n-1)(1/2) - First you need to distribute the 1/2 to both the n and -1 to get: an= 1/4 + 1/2n -1/2.
Then you need to add like terms (1/4-1/2) to get an=1/2n-1/4. Hope this helps!
Hidden right triangle
28 feet tall (1 leg)
the piece that fell over is the hypotonuse
last leg is what we need to find
81-28=53
a²+b²=c²
a and b are legs and c is the hypotonuse
given
on leg is 28 and the hypotonuse is 53
th othe leg is b
28²+b²=53²
784+b²=2809
minus 784 from both sides
b²=2025
sqrt both sides
b=45
answer is 45ft
Eighths and their multiples are common fractions which I recommend memorizing, but to actually solve this, you use the literal meaning of a fraction and divide 5 by 8. See the long-division below (it was surprisingly difficult to type, so I hope it helps!).
To round 0.625 to the nearest hundredth, we go to the second decimal place, which is 5, so we round up to 0.63.
