When two equations have same slope and their y-intercept is also the same, they are representing the line. In this case one equation is obtained by multiplying the other equation by some constant.
If we plot the graph of such equations they will be lie on each other as they are representing the same line. So each point on that line will satisfy both the given equations so we can say that such equations have infinite number of solutions.
Consider an example:
Equation 1: 2x + y = 4
Equation 2: 4x + 2y = 8
If you observe the two equation, you will see that second equation is obtained by multiplying first equation by 2. If we write them in slope intercept form, we'll have the same result for both as shown below:
Slope intercept form of Equation 1: y = -2x + 4
Slope intercept form of Equation 2: 2y = -4x + 8 , ⇒ y = -2x + 4
Both Equations have same slope and same y-intercept. Any point which satisfy Equation 1 will also satisfy Equation 2. So we can conclude that two linear equations with same slope and same y-intercept will have an infinite number of solutions.
Therefore the correct answer is option B.
If the radius is 3 and the height is 5, just plug in 3 and 5 to the formula.
Once we do so we get 47.12 as the volume.
-Steel jelly
Answer: Eric still needs of a deck.
Step-by-step explanation:
You know that:
- Eric need 1/2 deck of playing cards.
- Eric has 2/7 of a deck.
Therefore, to find the fraction of a deck that Eric still needs, you must subtract 1/2 and 2/7:
- Find the least common multiple of the denominators:
- Now, you can make the subtraction:
Therefore, he still needs of a deck.
We suspect the domain is values of x greater than 0 but less than about 100. At about x=70, the temperature matches that of the surface of the sun. Some experimental processes may produce higher temperatures, but a practical limit is certain to be x less than 4000, at which point the temperature exceeds the core temperature of the sun.
Answer:
x=2
Step-by-step explanation:
y = x^2 -4x-8
This is in the form y = ax^2 + bx +c
The axis of symmetry, h is found by h=-b/2a
We know a = 1, b=-4
h = -(-4)/ (2*1)
=4/2
=2
The axis of symmetry is x=2