Answer:
10 in
Step-by-step explanation:
There are two ways to work this problem, and they give different answers. The reason for that is that <em>the data shown in the diagram is not consistent</em>.
<u>Method 1</u>
Use the area to determine the base length. The area formula is ...
A = (1/2)bh
20 in^2 = (1/2)(b)(4 in)
(20 in^2)/(2 in) = b = 10 in
The missing side dimension is 10 inches.
__
<u>Method 2</u>
Use the Pythagorean theorem to find the parts of the base, then add them up.
Left of the "?" we have ...
left^2 +4^ = 6^
left^2 = 36 -16 = 20
left = √20 = 2√5
Right of the "?" we have ...
right^2 +4^2 = 8^2
right^2 = 64 -16 = 48
right = √48 = 4√3
So, the base length is ...
base = left + right = 2√5 +4√3
base ≈ 11.400 in
The missing side dimension is 11.4 inches. (The area is 22.8 in^2.)
-4(9)(-5) = (-36)(-5) because -4(9) = -36. (-36)(-5) = 180
Answer:
5/18
Step-by-step explanation:
5/9 times 1/2
5/18
I may be wrong sorry
You have f(x)=(<span>6x+9)/(x-5) and want to find the inverse function? Please note that the parentheses are obligatory here.
1. Replace "f(x)" with y: y = </span>(6x+9)/(x-5)
<span>
2. Interchange the variables x and y: x</span> = (6y+9)/(y-5)
3. Solve this result for y: x(y-5) = (6y+9), or xy-5x = 6y+9. Then:
xy-6y = 9 + 5x, or y(x-6) = 9+5x
9+5x
Then y = --------------
x-6
Here x may not = 6, because division by zero would occur otherwise.
