Answer:
x = 60.6 units
Step-by-step explanation:
Hi there!
In this right triangle, we're given the measure of an angle, the side opposite that angle and another side adjacent to that angle (that is not the hypotenuse). In this circumstance, we can use the tangent ratio to help us solve for the missing side:
Plug in the given information:
opp = 27, adj = x, θ = 24
Therefore, the length of the missing side is 60.6 units when rounded to the nearest tenth.
I hope this helps!
Given:
g(x) = (1/3)x + 2
Part (a)
To find the inverse:
Set y = g(x) = (1/3)x + 2
Swap x and y.
x = (1/3)y + 2.
Solve for y.
(1/3)y = x - 2
y = 3(x - 2).
Set g⁻¹(x) to y.
Answer: g⁻¹(x) = 3(x - 2)
Part (b)
Create the table shown below to graph g(x) and g⁻¹(x).
x g(x) g⁻¹(x)
---- --------- ---------
-8 - 2/3 - 30
-6 0 - 24
-4 2/3 - 18
-2 4/3 - 12
0 2 - 6
2 8/3 0
4 4/3 6
6 4 12
8 14/3 18
Note that when x = -6, g(x) = 0, so that (-6, 0) lies on he black liine.
Therefore the inverse function should yield (0, -6) to be correct. This is so, so g⁻¹ is correct.
Both g(x) and g⁻¹(x)satisfy the vertical line test, so both are functions.
Part (c)
Algebraically, we know that g⁻¹(x) is correct if g(g⁻¹(x)) = x
Use function composition to obtain
g(g⁻¹(x)) = (1/3)*(3x - 6) + 2
= x - 2 + 2
= x
Therefore g⁻¹(x) is correct.
Step-by-step explanation:
16.80 - 20% of 16.80 = 13.44
you paid 13.44$
We know that
mAB = 87°
<span>mED = 37</span>°
mEFA=mBCD
360°=mAB+mED+mEFA+mBCD
360=87+37+2mBCD------> mBCD=[360-87-37]/2----> mBCD=118°
therefore
m BCD=118°
m FA=m EFA/2-----> m FA=118/2----> 59°
m FA=59°
m DC=m BCD/2----> m DC=118/2----> 59°
m DC=59°
HB=GA------> HB=17
DB=2*HB----> DB=2*17-----> DB=34
EG=GA------> EG=17
the answers are
DB=34
EG=17
mBCD=118°
mFA=59°
mDC=59°
Answer:
5x>0
x0
Step-by-step explanation:
Is negative 9?