168 is the GCF OR HCF
BECAUSE
14x2 = 28
28X5 = 140
28+140= 168
Answer is 168
40000 is ten times greater than 4000
Check:
4000 x 10 = 40000
hope this helps
Answer:
Diameter = 19.33
Step-by-step explanation:
Imaging a radius line from O to the endpoints of the 7. call this line R.
Label the part of the vertical line from O to the 90 degree intersection y.
Now you have a right triangle.
Using the Pythagorean theorem:
R² = 7² + y²
also
y = R - 3
substitute for y:
R² = 49 + (R-3)²
R² = 49 + R² - 6R + 9
simplify:
0 = 58 - 6R
6R = 58
R = 9.6667
Diameter = 2(9.6667) = 19.33
Answer:
Slope is defined as rise over run, which can be expressed as the difference of the y-coordinates divided by the difference of the x-coordinates. If we rise, we are moving vertically, or along the y-axis. If we run, we are moving horizontally, or along the x-axis.
The formula for the slope m of a line given two points (x1, y1) and (x2, y2) that lie on the line is:
m = (y2 - y1)/(x2 - x1)
m = (15 - 5)/(-6 - 4)
m= 10/-10
m = -1
Now, we can use the slope-intercept form of the equation of a line to obtain the equation of the line that satisfies the conditions outlined in the problem. Slope-intercept form is:
y = mx + b
Again, m represents the slope, while b stands for the y-intercept. We can use either point on the line to represent x and y. Let's choose the point (4, 5)
5 = -1(4) + b
5 = -4 + b
9 = b
The equation of the line is:
y = -x + 9
Answer:
Part A) see the explanation
Part B) 
Step-by-step explanation:
Part A)
we know that
A relationship between two variables, x, and C, represent a proportional variation if it can be expressed in the form 
or 
Let
C ---> is the total cost (represent the output or dependent variable)
x ----> is the number of books (represent the input or independent variable)
In this problem
we have a proportional relationship between the variables x and C
Part B) we know that
The linear equation is given by
The constant of proportionality k is the same that the slope or unit rate of the linear equation
In this problem the constant k is given
so
For x=12 books
substitute in the equation and solve for C
In function notation
