Answer: y = (-4/5)x + 8
Solution
The equation of line is
y = mx + b
Where
y = y coordinate
m = slope
x = x coordinate
b = y intercept
In order to write the equation of line we need to find the y-intercept (b)
substitute the slope (-4/5) and coordinates given (0,8) ,
y = mx + b
8 = -4/5 (0) + b
8 = b
So,
y = (-4/5)x + 8
Answer:
- f⁻¹(x) = (x + 1) / (x - 2)
- f⁻¹(1 ) = - 2
Step-by-step explanation:
<u>Given function:</u>
- f(x) = (2x + 1) / (x - 1)
<u>Find its inverse, substitute x with y and f(x) with x, solve for y:</u>
- x = (2y + 1) / (y - 1)
- x(y - 1) = 2y + 1
- xy - x = 2y + 1
- xy - 2y = x + 1
- y(x - 2) = x + 1
- y = (x + 1) / (x - 2)
<u>Substitute y with f⁻¹(x):</u>
- f⁻¹(x) = (x + 1) / (x - 2)
<u>Find f⁻¹(1 ):</u>
- f⁻¹(1 ) = ( 1 + 1) / (1 - 2) = 2 / - 1 = - 2
The mathematical sentance would be, 740 - 14 = 726, hope this helps.:D
Answer:
Step-by-step explanation:
we know that
The area of the figure is equal to the area of rectangle plus the area of two semicircles
<u>The area of rectangle is equal to</u>
<u>The area of the small semicircle is equal to</u>
-----> radius is half the diameter
substitute
<u>The area of the larger semicircle is equal to</u>
-----> radius is half the diameter
substitute
The area of the figure is equal to
Answer:
Step-by-step explanation:
Properties of a bar graph:
1). There should be equal space between the bars or the columns.
2). Width of each bar or columns should be same.
3). All bars should have same base.
4). Height of each bar will show the value of the data.
By these properties,
- Space between London-Paris, Rome-Oslo are not equal.
- Width of Munich bar is different from other bars.
