Answer:
length = 6 feet
width = 4 feet
Step-by-step explanation:
To find the dimensions of the rectangle, you can set up a variable and an expression that will equal the perimeter of the figure. Given l = length, width is '8 feet less than twice the length' or w = 2l - 8.
The general formula for perimeter of a rectangle is:
2w + 2l = P, where w = width and l = length
Using the variable and expression from above and the perimeter of 20 feet:
2(2l - 8)+ 2l = 20
distribute: 4l - 16 + 2l = 20
combine like terms: 6l - 16 = 20
add 16 to both sides: 6l - 16 + 16 = 20 + 16 or 6l = 36
divide and solve for 'l': 6l/6 = 36/6, or l = 6 feet
solve for 'w': w = 2(6) - 8 or w = 12 - 8 = 4 feet
Answer:
□ The temperature at a specific location as a function of time.
□ The temperature at a specific time as a function of the distance due west from New York City.
□ The altitude above sea level as a function of the distance due west from New York City.
Step-by-step explanation:
Temperature tends to vary continuously over distance and time.
Altitude rarely changes so abruptly we'd have to say it is a discontinuous function. Even a cliff has a (very high) defined slope.
Taxi charges tend to increment according to a rate schedule. That is, for each passing minute or fraction of a mile, the amount due jumps to a new value. We'd have to say those are discontinuous.
The nature of electrical circuits is such that current is never discontinuous. Even when the circuit is disconnected by a switch, the arcing at the switch contacts ensures the current is continuous as it rapidly goes to zero.
Answer:
Step-by-step explanation:
Let
r ----> the number of readers (y-coordinate or dependent variable)
t ----> the number of years after 2000 (x-coordinate or independent variable)
Remember
2004 ----> represent t=4 years
2014 ----> represent t=14 years
we have the ordered pairs
(4,1,000,000) and (14,2,000,000)
step 1
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the equation of the line in point slope form
we have
substitute
step 3
Convert to slope intercept form
isolate the variable r
step 4
Convert to function notation
Answer:
H = 1781
Step-by-step explanation:
First, find the radius which is 9; 18/2. Then use cyclinder formula pi*r^2*h. Substitute values, but replace height with 6 because you are finding volume of water. Equation: pi*9^2*6
D(S,P) = √(0-0)^2 + √(b-0)^2
d(S,P) = √b^2
d(S,P) = b
so
SP = b
d(P, Q) = √(a-0)^2 + √(b-b)^2
d(P, Q) = √a^2
d(P, Q) = a
so
PQ = a
SQ = c^2 = a^2 + b^2
SQ = √(a^2 + b^2)
answer
the length of one of the diagonals of the rectangle is √(a^2 + b^2)
