Answer:
x=-8 y=6
Step-by-step explanation:
Add the two equations together. This cancels the x and gets us y=6
Then substitute y in more the first equation which gets us -8
we know that
The volume of the prism is equal to
where
B is the area of the base
h is the height of the prism
Step 1
<u>Find the area of the rectangular base</u>
we know that
the area of a rectangle is equal to
In this problem we have
Step 2
<u>Find the height of the prism</u>
Applying the Pythagoras Theorem
solve for h
Step 3
<u>Find the volume of the prism</u>
The volume of the prism is equal to
substitute the values
therefore
<u>the answer is</u>
Answer:
C. (f - g)(x) = 3ˣ - 2x + 14
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Function Notation
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3ˣ + 10
g(x) = 2x - 4
(f - g)(x) is f(x) - g(x)
<u>Step 2: Find (f - g)(x)</u>
- Substitute: (f - g)(x) = 3ˣ + 10 - (2x - 4)
- Distribute -1: (f - g)(x) = 3ˣ + 10 - 2x + 4
- Combine like terms: (f - g)(x) = 3ˣ - 2x + 14
Answer:
for perimeter you add all sides. so Lenth x2 + width x2 is 24+30 which would equal 54
for area it's Lenth times width so 12 times 15 equals 156
The North Frigid Zone, north of the Arctic Circle. The North Temperate Zone, between the Arctic Circle and the Tropic of Cancer. The Torrid Zone, between the Tropics of Cancer and Capricorn. The South Temperate Zone, between the Tropic of Capricorn and the Antarctic Circle
