Answer:
A reflection over the x- axis would be the correct answer.
Step-by-step explanation:
When you flip figure A over the x-axis it will land onto figure B.
You could model a strait road by using a segment addition postulate. For instance, if you are between point A and B you could calculate how much future you need to go by subtracting the length of the road by the distance you have traveled. Also, segment addition postulate can be used with City Water Lines or Sewer Lines. They can be used to calculate how much pipe is damaged and needs to be replaced.
Answer:the width of the walkway is 5 feet
Step-by-step explanation:
Let x represent the width of the walkway.
The pool measures 10 ft by 20. If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway would be 10 + x + x = 10 + 2x
The total width of the pool and the walkway would be 20 + x + x = 10 + 2x
The area covered by the pool and the cement walkway is 600 square feet. This means that
(10 + 2x)(20 + 2x) = 600
200 + 20x + 40x + 4x^2 = 600
4x^2 + 60x + 200 - 600 = 0
4x^2 + 60x - 400 = 0
Dividing through by 4, it becomes
x^2 + 15x - 100 = 0
x^2 + 20x - 5x - 100 = 0
x(x + 20) - 5(x + 20) = 0
(x - 5)(x + 20) = 0
x = 5 or x = - 20
The width cannot be negative. Therefore, the width of the walkway is 5 feet
Answer:
The answer to your question is car 1 = 30 gal and car 1 = 20 gal
Step-by-step explanation:
car 1 = a
car 2 = b
Efficiency of car 1 = 35 mi/gal
Efficiency for car 2 = 20 mi/gal
Total distance = 1450
Total gas consumption = 50 gal
Equations
35a + 20b = 1450 ------- (I)
a + b = 50 ------- (II)
Solve by elimination
Multiply equation II by -35
35a + 20b = 1450
-35a - 35b = -1750
Simplify
0 - 15b = -300
Solve for b
b = -300/-15
Result
b = 20
Substitute b in equation II to find a
a + 20 = 50
Solve for a
a = 50 -20
Result
a = 30
Assign a variable to the smallest integer: x
Apply the relationship to the first integer to the second.
For example: the second integer is 4 greater than the first integer.
the second integer would = x+4
Then what their sum/difference/quotient/etc. would be, put that into a formula.
For example:
One integer is greater than the other by four. Their sum is 16 and their product is 60. Find the value of the first integer.
First integer: x
Second integer: x+4
Equation:
x+x+4=16
x=6
Answers:
First integer: 6
Second integer: 10
