Answer:
4 √6
Step-by-step explanation:
We have a few right triangles. We know that a²+b²=c², with c being the side opposite the right angle. Representing the side without a value as z, we have:
m²+z² = (8+4)² = 12²
4²+n²=z²
8²+n²=m²
We have 3 equations with 3 unknown variables, so this should be solvable. One way to find a solution is to put everything in terms of m and go from there. First, we can take n out of the equations entirely, removing one variable. We can do this by solving for it in terms of z and plugging that into the third equation, removing a variable as well as an equation.
4²+n²=z²
subtract 4²=16 from both sides
z²-16 = n²
plug that into the third equation
64 + z² - 16 = m²
48 + z² = m²
subtract 48 from both sides to solve for z²
z² = m² - 48
plug that into the first equation
m² + m² - 48 = 144
2m² - 48 = 144
add 48 to both sides to isolate the m² and its coefficient
192 = 2m²
divide both sides by 2 to isolate the m²
96 = m²
square root both sides to solve for m
√96 = m
we know that 96 = 16 * 6, and 16 = 4², so
m = √96 = √(4²*6) = 4 √6
Answer:
1/6
Step-by-step explanation:
2/3 times 1/4 is 2/12. 2/12 simplified is 1/6, so 1/6 is your answer.
Let
x------> the <span>remaining ice cream
we know that
3/10------> 0.30
so
x=1-0.30-0.40-----> x=1-0.70------> x=0.30 gal------> 3/10 gal
the answer is
3/10 gal</span>
1) 2x + 9 = 2x -5
9 ≠ -5 ; No solution
2) 2x- 1 = x + 3
x = 4; One solution x = 4
3) x + 2 = x + 2
0 = 0; Identity (or all real numbers)
Answer:
The attached image shows the graph for the given function.
Step-by-step explanation:
We are given the following function in the question:

We have to graph the given function.
Properties of the given function are:
- It is an exponential function of the form

- Here, a = 2, b = -1
- The y-intercept of the given function is (0,0.5)
- There is no x-intercept.
- The domain of the given function is all real numbers.
- The range of given function is

The attached image shows the graph for the given function.