Take two points
(-3, -1) and (1,2)
Find slope
slope formula: m = y2 - y1 / x2 - x1
m = 2 - (-1) / 1 - (-3) = 2 + 1 / 1 + 3 = 3/4
Substitute one of the points into slope intercept form (y =mx + b) to find the y intercept.
y= mx + b
2 = 3/4(1) + b
2 = 3/4 + b
1.25 = b
So:
y = 3/4x + 1.25
Answer:
$14771055
Step-by-step explanation:
14 times 10= 140ft
140ft in yards is 46.67 in yards
46.67 times 31.65 =14771055
For this case we have that by definition, the sum of the internal angles of a triangle is 180 degrees. So, we have:
![(5x + 12) + (6x + 30) + (2x + 8) = 180\\5x + 12 + 6x + 30 + 2x + 8 = 180](https://tex.z-dn.net/?f=%285x%20%2B%2012%29%20%2B%20%286x%20%2B%2030%29%20%2B%20%282x%20%2B%208%29%20%3D%20180%5C%5C5x%20%2B%2012%20%2B%206x%20%2B%2030%20%2B%202x%20%2B%208%20%3D%20180)
We add similar terms:
![13x + 50 = 180\\13x = 180-50\\13x = 130\\x = \frac {130} {13}\\x = 10](https://tex.z-dn.net/?f=13x%20%2B%2050%20%3D%20180%5C%5C13x%20%3D%20180-50%5C%5C13x%20%3D%20130%5C%5Cx%20%3D%20%5Cfrac%20%7B130%7D%20%7B13%7D%5C%5Cx%20%3D%2010)
Answer:
![x = 10](https://tex.z-dn.net/?f=x%20%3D%2010)
Option D
PART 1If I have graph f(x) then graph f(x + 1/3) would translate the graph 1/3 to the left.
For example, I have f(x) = x².Then
f(x + 1/3) = (x + 1/3)²
I draw the graph of f(x) = x² and the graph of f(x) = (x + 1/3)² on cartesian plane to know what's the difference between them.
PART 2If I have graph f(x) then graph f(x) + 1/3 would translate the graph 1/3 upper.
For example, I have f(x) = x².Then
f(x) + 1/3 = x² + 1/3
I draw the graph of f(x) = x² and the graph of f(x) = x² + 1/3 on cartesian plane to know what's the difference between them.
SUMMARY
f(x+1/3) ⇒⇒ <span>f(x) is translated 1/3 units left.
f(x) + 1/3 </span>⇒⇒ <span>f(x) is translated 1/3 units up.</span>
1 is 4 times greater than 1/4
If you multiply 1/4 by 4 you get 1