I'll do the first two problems to get you started. All problems shown will use the same formula.
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Problem 4
The formula to use is
C = 100*(B-A)/A
where
A = old value
B = new value
C = percent change
In this case, A = 12 and B = 36, so
C = 100*(B-A)/A
C = 100*(36-12)/12
C = 100*(24/12)
C = 100*2
C = 200%
We have a 200% increase. It is an increase because the value of C is positive.
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Problem 5
Use the same formula as in the previous problem. This time,
A = 75 is the old value
B = 25 is the new value
C = 100*(B-A)/A
C = 100*(25-75)/75
C = 100*(-50/75)
C = 100*(-2/3)
C = -66.6667%
C = -66.7%
The value of C is negative, so we have a percent decrease of roughly 66.7%
The equation of a cricle is
h being the x coordinate of the given point and k being the y coordinate of the given point (r also being the radius).
Now we have to plug the points into the equation
now just simplify the the equation
Answer:
f-¹(x) = (4- x)/ 3
Step-by-step explanation:
inverse of a function is nothing but the value of x in terms of f(x)
like
if we write f(x) as y we'd get
y = - 3x + 5
so, ill express x in terms of y:-
y= -3x + 4
- adding 3x on both sides of the equation
y + 3x = -3x + 3x + 4
- subtracting y on both sides
y - y + 3x = 4 - y
3x = 4 - y
- dividing the whole equation by 3
x = (4 - y)/ 3
soo, the inverse of the function is x = (4- y)/ 3
mostly we write the inverse in terms of x, hey! don't get confused, when i say this, I simply mean that we're gonna replace y with x and x with f-¹(x).
therefore,
f-¹(x) = (4- x)/ 3
Answer:
The first traveler
Step-by-step explanation:
288 divided by 4 is 74 miles an hour and 374 divided by 5 is 74.8 miles an hour and 74 mph is faster.
Answer:
Area = 18 Sq.units
Step-by-step explanation:
From the given dimensions we have, we can say that the total length of the base = 6 + 4 = 10 units
Now,since we know that all sides of the red square are 6 units, we can use pythagoras theorem to get the length of the long diagonal that serves as the base of the blue colored area.
Let the diagonal be c. Thus;
c = √(10² + 6²)
c = √(100 + 36)
c = √136
Let length of the horizontal part of the blue area be "b". Thus, b = 6 units
Let the other part of the triangle be a. We can find a from pythagoras theorem.
a = √(4² + 6²)
a = √(16 + 36)
a = √52
Using hero's formula, we can find the area of the triangle;
Area = √(s(s − a)(s − b)(s − c))
Where s = (a + b + c)/2
s = (√52 + 6 + √136)/2
s = 12.4365
Area = √(12.4366(12.4365 −√52)(12.4365 − 6)(12.4365 − √136))
Area = 18 Sq.units
