Answer:
Step-by-step explanation:
The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is
, then the slope of the line perpendicular is
.
Knowing this, we can start to construct the equation for the line:


To solve for
, we plug in the coordinates of the point that we know the line runs through,
:




Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:

A. independent (x) - expenses, dependent (y) - total cost
B. independent (x) - area, dependent (y) - price
C. independent (x) - time, dependent (y) - distance
D. independent (x) - size of carton, dependent (y) - number of items
Answer:
25.12 inches
Step-by-step explanation:
We have given the radius of the circle =12 inches
The central angle intercepted by the arc =120°
We have to find the length of the arc
So length of the arc is given by 

So the length of the arc will be 25.12 inch
The answer is C.
∠STR = ∠SRQ = 90° (given) (A)
∠RST = ∠RSQ (common angle) (A)
By AA test for similarity,
∆STR is similar to ∆SRQ.
Ok so to find the eggs left we need to subtract but with fractions, you need a common denominator. You can multiply 1/6 by 2 because 6·2=12 which will be the same denominator as 7/12. You must multiply the numerator by 2 as well so 1/6· 2/2= 2/12. Now subtract 7/12 - 2/12 and you have 5/12 eggs left. :)