Step-by-step explanation:
Our coordinates are (6, 0) and (0, -3).
We can use the formula (y₂-y₁)/(x₂-x₁) to find the slope-intercept form (y=mx+b)
Now, we plug the coordinates into the formula and solve.
(0-(-3))/(6-0)
=3/6
=
So, the slope is
.
Now, we have to find the y-intercept, which is the point where the line on the graph intersects with the y-axis.
We can find the y-intercept (which is represented by b) by plugging the information we already know into the formula.
We can use either pair of coordinates for the formula, so I'll use (6, 0).
y=mx+b
0=
(6)+b
Now, we can solve.
0=3+b
Subtract 3 from both sides.
-3=b
The y-intercept is -3.
Answer:
y=
x-3
Answer:
Area of the given regular pentagon is 61.5 cm².
Step-by-step explanation:
Area of a regular polygon is given by,
Area = 
Here, a = Apothem of the polygon
P = Perimeter of the polygon
Apothem of the regular pentagon given as 4.1 cm.
Side of the pentagon = 6 cm
Perimeter of the pentagon = 5(6)
= 30 cm
Substituting these values in the formula,
Area = 
= 61.5 cm²
Therefore, area of the given regular pentagon is 61.5 cm².
Answer:
$8.2225
Step-by-step explanation:
100% - 45% = 55%
then divide 55 by 100 to get .55
lastly multiply .55 to 14.95 to get 8.2225
Answer: 64 miles
Step-by-step explanation:
Subtract all of Buck's expenses from the total amount that he spent to isolate the amount of miles.
70.23 (Total) - 39.95 (Flat Rate) - 9.80 (Gas) = 20.48
20.48 ÷ 0.32 (Cost Per Mile) = 64 (Total miles)
Hope this helps!
First thing you need to do is find your k in y = kx
So to do that insert 18 for x and 6 for y and then solve for k
y = kx
6 = k18
6/18 = k18 /18
1 / 3 = k
k = 1 /3
So now that we know what k is we can find x when y = 10. Once again insert the numbers we know. We know k = 1/3 and y = 10 and we need to find x
y = kx
10 = (1/3)x
3* 10 = 3*(1/3)x
30 = x
x = 30