160 * 8 = 1280 ounces. 1280/64 = 20 half gallons 20*1/2= 10 So you have 20 half gallons or 10 gallons.
Answer:
The translated ordered pairs are 
and 
.
Step-by-step explanation:
Vectorially speaking, a translation is defined by the following formula:
(1)
Where:
- Original point.
- Translated point.
- Translation vector.
If we know that 
, 
and 
, then the translated points are, respectively:
The translated ordered pairs are and .
9514 1404 393
Answer:
y = -4/7x +58/7
Step-by-step explanation:
The slope of the given line segment is ...
m = (y2 -y1)/(x2 -x1)
m = (17 -3)/(1 -(-7)) = 14/8 = 7/4
Then the slope of the perpendicular line is ...
-1/m = -4/7 . . . . . slope of the perpendicular bisector.
__
The midpoint of the given line segment is ...
M = 1/2(x1 +x2, y1 +y2)
M = (1/2)(-7 +1, 3 +17) = 1/2(-6, 20) = (-3, 10)
__
The y-intercept of the bisector can be found from ...
b = y -mx
b = 10 -(-4/7)(-3) = 10 -12/7 = 58/7
Then the slope-intercept form equation for the perpendicular bisector is ...
y = mx +b
y = -4/7x +58/7
- x - 2 + 15x = 14x - 2
hope it helps
