Answer:
Perimeter = 15
Step-by-step explanation:
We are told that the length of each of the 3 sides of the triangle are consecutive odd integers.
Thus means that we can write the 3 terms as;
(x - 2), x, (x + 2)
Thus, perimeter is;
P = (x - 2) + x + (x + 2)
P = 3x
If an angle is 120°, it means that the corresponding side that is directly opposite the angle is the largest side of the triangle.
Thus, this side is (x + 2)
Using cosine rule, we have;
(x + 2)² = x² + (x - 2)² - 2(x(x - 2))cos 120
Expanding, we have;
x² + 4x + 4 = x² + x² - 4x + 4 - (2x² + 4x)(-½)
This reduces to;
4x = x² - 4x + x² - 2x
2x² = 10x
2x = 10
x = 10/2
x = 5
Thus, other sides are;
(x - 2) = 5 - 2 = 3
And (x + 2) = 5 + 2 = 7
So,perimeter is;
P = 3x = 3 × 5 = 15
Answer:
2196
Step-by-step explanation:
3^2 = 9
9+3^7 = 2196
Answer:
Step-by-step explanation:
Represent the sofa with S and the love seat with L.
So, we have:
--- Total Cost
Required
Determine the value of L
Substitute 2L for S in the first equation.
Divide both sides by 3
<em>Hence, a love seat costs 117.0</em>
<em></em>
<u>Using Graph</u>
See attachment for graph
S is plotted on the y-axis and L is on the x-axis.
The green line represents while the orange line represents
When the line of the graph is traced to the x-axis, we have:
0=6x^3+8
-8 -8
-8=6x^3
---- ------
6 6
(-8)/6=x^3
cube root each side to get
∛[(-8)/6]=x or F(x)=∛[(-8)/6]
F(x)=-1.100642...
Answer:
Step-by-step explanation:
all u really need to do for this is look at ur x values.....if there is no repeating x values, then it is a function. A function can have repeating y values....just not the x values
A. This is a function because there is no repeating x values
B. not a function....u have repeating x values of -1
C. not a function...u have repeating x values of 3
D. not a function...u have repeating x values of -1
