cross multiply the equation to give you
1= a(2bh+3)
divide both sides by a(2b+3)
answer is 1/2ab+3 = h
Positive 28 because to negative will equal a positive number
Answer:
C. two thirds x + 10 = 21
Step-by-step explanation:
Given
Price of adult ticket = $21.00
Let x be the price of student ticket
Then
two third of the student ticket will be:
The statement $10.00 more than two third of student ticket:
As we are given in the question that the adult ticket price is $21.00 and the second explanation is th equation formed by the given statement
So, both will be equivalent
Solving this equation for x will give us the price for the student ticket.
Hence,
C. two thirdsx + 10 = 21 is the correct answer ..
Answer:
k < -5
Step-by-step explanation:
5(k+4)<–5
Divide each side by 5
5/5(k+4)<–5/5
k+4 < -1
Subtract 4 from each side
k+4-4 < -1-4
k < -5
Answer:
( 2,1) is the center of dilation and -2 is the scale factor
Step-by-step explanation:
We can use the formula
A' = k( x-a) +a, k( y-b)+b where ( a,b) is the center of dilation and k is the scale factor
(0,0) becomes (6,3)
( 6,3) = k( 0-a) +a, k( 0-b)+b
6 = -ka+a
3 = -kb+b
We also have
(4,0) becomes (-2,3)
( -2,3) = k( 4-a) +a, k( 0-b)+b
-2 =4k -ka+a
3 = -kb+b
Using these two equations
6 = -ka+a
-2 =4k -ka+a
Subtracting the top from the bottom
-2 =4k -ka+a
-6 = ka -a
-------------------
-8 = 4k
Divide by 4
-8/4 = 4k/4
-2 = k
Now solving for a
6 = -ka +a
6 = - (-2)a +a
6 = 2a+a
6 = 3a
Divide by 3
6/3 =3a/3
2=a
Now finding b
3 = -kb+b
3 = -(-2)b+b
3 = 2b+b
3 = 3b
b=1
