Answer:
12.78 units
Step-by-step explanation:
The formula for arc length =
2πr × θ/360
From the question:
θ = 122°
r = 6 units
Therefore, the arc length =
2 × π × 6 × (122/360)
= 12.775810125 units
Approximately to the nearest hundredth = 12.78 units
Therefore, the length of arc CE is 12.78 units
1. To solve this exercise, you must make a system of equations.
2. You have that f<span>our times a number minus twice another number is -8:
</span>
4x-2y=-8
3. And t<span>he sum of the two number is 19:
</span>
x+y=19
4. As you can see, you have two equations:
4x-2y=-8 (i)
x+y=19 (ii)
5. Let's clear the "x" from the equation (ii):
x=19-y
6. Now, you need to susbtitute x=19-y into the equation (i):
4x-2y=-8
4(19-y)-2y=-8
76-4y-2y=-8
76-6y=-8
-6y=-8-76
-6y=-84
y=-84/-6
y=14
7. You must susbstitute y=14 into the equation (ii) and clear "x":
x+y=19
x+14=19
x=19-14
x=5
The answer is: 5 and 14
<u>Answer:
</u>
The difference of (12f - 8g + 3h) -(4f – g + 5h) is 8f - 7g - 2h
<u>Solution:
</u>
From question given that the expression is
(12f - 8g + 3h) - (4f – g + 5h)
We have to find the difference of both the expressions.
By removing the parenthesis the above equation becomes,
12f - 8g + 3h - 4f + g - 5h
Separate the terms of f, g and h in above equation,
12f - 4f - 8g + g + 3h - 5h
On simplifying the above expression,
8f - 7g - 2h
Hence difference of (12f - 8g + 3h) - (4f – g + 5h) is 8f - 7g - 2h
The first figure below shows the graph for problem 5).
The second figure below shows the graph for problem 6).
