Answer:
length = 62.41 inches
Step-by-step explanation:
Using pythagoras theorem -
Let
a = hypotenuse
b = height
c = length
a^2 = b^2 +c^2
75^2 = 41.6^2 + c^2
Therefore,
75^2 - 41.6^2 = c^2
5625 - 1730.56 = c^2
389.44 = c^2
square root (389.44) = c
62.40544848 = c
Answer:
g(x) = e^(x + 2) + 2
Step-by-step explanation:
First, let's describe the shifts.
Vertical shift.
For a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
If N is positive, then the shift is upwards.
If N is negative, then the shift is downwards.
Horizontal shift.
For a function f(x), a horizontal shift of N units is written as:
g(x) = f(x - N)
If N is positive, the translation is to the right
If N is negative, the translation is to the left.
Now let's solve the question.
f(x) = e^x
First, we have a vertical shift up of 2 units, then:
g(x) = f(x) + 2
Now we have a shift to the left of 2 units:
g(x) = f(x - (-2)) + 2
g(x) = f(x + 2) + 2
Then:
g(x) = e^(x + 2) + 2
Answer:
Step-by-step explanation:
Hello There!
Remember the sum of all of the angles in a triangle is 180
so we can use this equation to solve for x
180 = 50 + 60 + 8x + 6
now we solve for x
step 1 combine like terms
50 + 60 + 6 = 116
now we have
180=8x+116
step 2 subtract 116 from each side
116 - 116 cancels out
180 - 116 = 64
now we have
8x = 64
step 3 divide each side by 8
8x/8=x
64/8=8
we're left with x = 8
0.01388888888 this but shorten it would be. .0138
