Applying pythagorean theorem:-





The equation represents the line that passes through (–6, 7) and (–3, 6)
.
<h3>What is the slope of the equation?</h3>
For all lines in slope y-intercept form, it would be very simple to just find the answer by finding yourself the slope and y-intercept of the line in question.
The slope of the line is;

The equation represents the line that passes through (–6, 7) and (–3, 6) is;

The required line of the equation is;

Hence, the equation represents the line that passes through (–6, 7) and (–3, 6)
.
To know more about the equation of line click the link given below.
brainly.com/question/8955867
Answer:
8/18=4/9
Step-by-step explanation:
since it there is 1/6 for red marbles and 5/18 for blue marbles it works because it is 8*9=72 for the denominator and 4*3=12 so it is 12/72=1/6 and for blue it is 5/18 because it is 5*4=20 and 20/72=10/36=5/18 so it is 1/6+5/18=8/18=4/9
Answer:
The original duration of the tour is 18 days.
Step-by-step explanation:
Let
the number of days spent be T
Daily expenses be D
Initially ,
total tour expenses was 360

-------------(1)
If he extends his tour for 4 days, he has to cut down his daily expenses by dollar 3
---------------(2)
Expanding the eqaution(2)
DT-3D + 4T -12 = 360
Substituting the value of D







Solving the quadratic equation we get
T = 18 and T = -15
T is the number of gays and it cannot be negative , hence T is 18
Substituting in equation (1) we get

D = 20