Answer:
A. A horizontal shift to the right 7.5 units
Step-by-step explanation:
Replacing x with x-7.5 shifts the graph 7.5 units to the <em>right</em>.
__
In general, g(x) = f(x-h)+k will shift h units right and k units up. In this problem there is no vertical shift.
Since it takes her 2 1/2 miles to get to the aquarium from her hotel, you need to subtract the various distances from this value in order to find how long it took Clara to walk the rest of the way to the aquarium.
2 1/2 - (1/4+1 3/4)= 2 1/2 - 2= 1/2
Clara must walk 1/2 a mile to get the rest of the way to the aquarium.
Answer:
Step-by-step explanation:
a = 35 feet
b = 54 feet
h = 28 feet
![Area=\frac{[a+b]*h}{2}\\\\=\frac{[35+54]*28}{2}\\\\=\frac{89*28}{2}\\\\=89*14\\\\](https://tex.z-dn.net/?f=Area%3D%5Cfrac%7B%5Ba%2Bb%5D%2Ah%7D%7B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B%5B35%2B54%5D%2A28%7D%7B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B89%2A28%7D%7B2%7D%5C%5C%5C%5C%3D89%2A14%5C%5C%5C%5C)
= 1246 square feet
Step-by-step explanation:
a.
simply add both equations
x + y = 2
-3x - y = 5
----------------
-2x + 0 = 7
x = -7/2
x + y = 2
-7/2 + y = 2
y = 2 + 7/2 = 4/2 + 7/2 = 11/2
b.
1/2 x + 2y = -13
x - 4y = 8
first multiply the first equating by 2
x + 4y = -26
x - 4y = 8
--------------------
2x + 0 = -18
x = -18/2 = -9
x - 4y = 8
-9 - 4y = 8
-4y = 17
y = -17/4
Answer:
1/12
Step-by-step explanation:
Probability of an even number
3/6 = 1/2
Probability of one showing up
1/6
Probably of even number on first try and 1 on second try
1/2 * 1/6 = 1/12
