Answer:
d = 6sqrt(2) or 8.4853
Step-by-step explanation:
<u><em>Formula</em></u>
P = 4*s
s^2 + s^2 = d^2 where d is the diagonal and s is the side.
<u><em>Givens</em></u>
P = 24
<u><em>Solution</em></u>
P = 4s Substitute for s
24 = 4*s Divide by 4
24/4 = s
s = 6
================
d^2 = s^2 + s^2
d^2 = 6^2 + 6^2
d^2 = 36 + 26
d^2 = 72
d = sqrt(72)
Factors of 72
72: 6 * 6 * 2
<em><u>Rule</u></em>: Every pair of = factors allows you to take one of them outside the sqrt sign and throw the other a way. If there are no pairs, whatever you started with stays under the root sign.
sqrt(6*6*2) = 6sqrt(2)
- The diagonal length is either
- d = 6*sqrt(2) or
- d = 8.4853
Using a linear function, we have that:
a) The fixed cost is of $10.
b) The equation is: C = 10 + 12d.
c) The cost of an 18 km trip is $226.
d) The distance traveled is of 20 km.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For this problem, the slope is of m = 12. When d = 5, C(d) = 70, hence we find the fixed cost as follows:
C(d) = 12d + b
70 = 60 + b
b = 10.
Hence the equation is:
C(d) = 12d + 10.
For a trip of 18 km, d = 18, hence the cost is:
C(12) = 12 x 18 + 10 = $226.
When the cost is of $250, the distance is found as follows:
250 = 12d + 10
12d = 240
d = 240/12
d = 20 km.
More can be learned about linear functions at brainly.com/question/24808124
#SPJ1
For this case, we observe that the dispersion diagram has a behavior similar to a straight line.
we observe that as the values of x increase, the values of y decrease.
Therefore, the line is of negative slope.
Answer:
Linear
option C
Answer:
Step-by-step explanation:
Let x = third side
Using the Triangle Inequality theorem which states that the sum of two sides of a triangle must be longer than the third side and the difference of the two sides is the lower limit of the third side, the answer to your question is that the third side must be between 3 and 13, or written using inequalities, 3 < third side (or x) < 13 is the range.
