Answer:
Quadrant 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Remark
The exposed perimeter of the triangle is just the two smaller legs of the right triangle (6 + 8) + 10 units at the bottom of the rectangle + two 1/2 circles.
The area of the figure is the area of the triangle at the top + the area of the two 1/2 circles + the rectangle in the middle.
Givens
- Shortest Triangle Leg = 6
- Middle Triangle Leg = 8
- Diameter of the 2 half circles
- pi = 3.14
- width of the rectangle in the middle = 8
- Length of the rectangle = 10
- d = 8
- r = d/2 = 8/2 = 4
Formula
A
Perimeter = 2 legs of the triangle + 2 half circles + bottom line
B
Area = (1/2) Leg1*leg2 + pi * r^2 + L * w
Solution
A Perimeter
Perimeter = 6 + 8 + 2*pi *r + 10
Perimeter = 24 + 2*3.14*4
Perimeter = 25.12
B Area
Area = 1/2 * 8 * 6 + 3.14*4^2 + 10* 8
Area = 24 + 50.24+ 80
Area = 150.24
Answer
P = 25.12
Area = 150.24
For this case we find the slopes of each of the lines:
The g line passes through the following points:
So, the slope is:
Line h passes through the following points:
So, the slope is:
By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.
It is observed that lines g and h are not parallel. We verify if they are perpendicular:
Thus, the lines are perpendicular.
Answer:
The lines are perpendicular.
Answer:
It is a).
Step-by-step explanation:
The rule for change of base of a log is:
logb x = = loga x / loga b
So we have
log6 5 = log4 5 / log4 6.
The equation would be y+3x=-9
