Answer:
27 units squared?
Step-by-step explanation:
I think it is 27, look at the Parallelogram bh formula, base times h equals area.
Answer:
Step-by-step explanation:
sine of A = 
opposite = 5
adjacent = 12
hypotenuse = 13
First, Use the slope equation to find the slope of the line passing thru these two points:
m=rise/run
Here, the rise is 13-3, or 10, and the run is 7-2, or 5. Thus, the slope, m, is 10/5, or 2: m=2.
We want the slope-intercept form, so let's begin with its general form:
y=mx+b. Substitute the slope 2 for m: y=2x+b. Now choose either of the given points. Arbitrarily I am choosing (2,3). Then x=2 and y=3.
Substituting these values into y=2x+b: 3 = 2(2) + b, or b= 3 -4, or b = -1.
Then the equation of this line, in slope-intercept form, is y = 2x - 1.
Answer:
Rate of change = -1
Step-by-step explanation:
Given:
f(x) = -½(x + 2)² + 5
Required:
Average rate of change from x = -3 to x = 1
Solution:
Rate of change = 
Where,
a = -3,
f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5
b = 1,
f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5
Plug in the values into the formula:
Rate of change = 
Rate of change = 
Rate of change = -1
Answer:
2.5 hours
Step-by-step explanation:
The product of speed and time is distance. If the distance is the same, then time is inversely proportional to speed. At 60/50 = 6/5 times the speed, the return trip will take 5/6 times the time:
(5/6)(3 hours) = 2.5 hours . . . time for return trip
