Answer:
Step-by-step explanation:
1.
(-2,0) (0,-7) y2-y1
-----------------
x2-x1
-7-0= -7
0- (-2)= 2 ------>>> -7/2 =m or slope
2.
y= -7/2x+b to find b u plug in one pair of coordinates for example (-2,0)
and use inverse properties to find b
0 = -7/2(-2) + b
14/2 = 7
0= 7+b
-7 -7
-----------
-7=b
3.
y=-7/2x-7
Let y = f(x)
y = ln(3x)
Exchange place with x and y.
x = ln(3y)
Solve for y.
y = (e^x)/3
Replace y with the inverse notation.
f^(-1) x = (e^x)/3
Done.
Answer:
Step-by-step explanation:
The volume of the pyramid = (1/3)*area of base *height
= (1/3)*10*24*13 = 1040 cubic units.
The total surface area = area of rectangular base + area of 2 isosceles triangles with a base of 24 units + area of 2 isosceles triangles with a base of 10 units.
Area of rectangular base = 24*10 = 240 sq units.
The slant height of isosceles triangles with a base of 24 units = [(10/2)^2+13^2]^0.5 = [25+169]^0.5 = 194^0.5 = 13.92838828 units.
The area of 2 isosceles triangles with a base of 24 units 2*24*13.92838828/2 = 334.2813187 sq units.
The slant height of isosceles triangles with a base of 10 units = [(24/2)^2+13^2]^0.5 = [144+169]^0.5 = 194^0.5 = 17.69180601 units.
The area of 2 isosceles triangles with a base of 10 units 2*10*17.69180601/2 = 176.9180601 sq units.
The total surface area of the pyramid = 240 + 334.2813187 + 176.9180601 = 591.9731247 sq units.
The greatest common factor for these two numbers is 6 because if you divide 24 by 6 you get 4 and if you divide 84 by 6 you get 14.
Answer:
what you need to know is all lines equal up to 180
so basically it's 180 - 115
which is 65
comment down below if you need more explanation
Step-by-step explanation: