We can check this by seeing if Pythagorean's theorem applies. The longest side is the hypotenuse, so let's see if this is true:
This is, indeed correct, thus, this
<em>is </em><em>
a right triangle.</em>
The solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.
<h3>What are the solutions to the given equation?</h3>
Given the equation in question;
|3x-7| - 7 = x
First, add 7 to both sides.
|3x-7| - 7 + 7 = x + 7
|3x-7| = x + 7
Next, remove the absolute value term, this creates a ± on the right side of the question.
|3x-7| = x + 7
3x-7 = ±( x + 7 )
The complete solution is the result of both the negative and positive portions of the solution.
For the first solution, use the positive of ±.
3x-7 = ( x + 7 )
3x - 7 = x + 7
3x - x = 7 + 7
2x = 14
x - 14/2
x = 7
For the second solution, use the negative of ±.
3x-7 = -( x + 7 )
3x-7 = -x - 7
3x + x = -7 + 7
4x = 0
x = 0/4
x = 0
Therefore, the solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.
Learn to solve more equation involving absolute value term here: brainly.com/question/28635030
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Answer:
do you still need an answer?
Step-by-step explanation:
?
Y = 1 and x = 10
To solve this you cancel out the x's and get -8y=-8.
You find y as 1, plug it back into the equation to get 2x-5=15. Solve and get x=10.
Answer:
the total cost of milk for Brand B will pass through the points (0,1.50) and (0.5,4.50).
Step-by-step explanation:
Brand A 2% milk costs $3.50 a gallon. If 0 gallons of milk are purchased, the cost is $0. If 1 gallon of milk is purchased, the cost is $3.50. So, the ray representing the total cost of milk for Brand A will pass through the points (0,0) and (1,3.50).
Brand B whole organic milk costs $3.00 for a half-gallon, plus a one-time deposit of $1.50 for the glass jug. At 0 gallons, the cost is $1.50 for the deposit. At 0.5 gallons, the cost is $3.00 + $1.50, or $4.50. So, the ray representing the total cost of milk for Brand B will pass through the points (0,1.50) and (0.5,4.50).
Since Brand A goes through the origin, Brand A is proportional. The correct graph is shown below.
