Answer:
6, 6w, 3w, z and w.
Step-by-step explanation:
The common factors are those values that can divide 18w and 30wz perfectly.
Take a look at 6, 6 can divide both perfectly to give 3w and 5wz respectively.
We move on to 6w, this can also work perfectly to yield 3 and 5z.
6xz is not a factor as both values do not contain any x term.
3z is not a factor. Although 30wz has a z term, 18w does not.
3w is a factor as it can give 10z and 6 when used to divide the terms.
Z is not a factor as the 18w term does not contain a z term.
10w is not a term as it can not divide 18w perfectly
w is a term as it can divide both 18w and 30wz perfectly to yield 18 and 30z respectively.
<span><u><em>The correct answer is:</em></u>
4) y-axis, x-axis, y-axis, x-axis.
<u><em>Explanation</em></u><span><u><em>: </em></u>
Reflecting a point (x,y) across the <u>x-axis</u> will map it to (x,-y).
Reflecting a point (x,y) across the <u>y-axis</u> will map it to (-x,y).
Reflecting a point (x,y) across the line <u>y=x</u> will map it to (y, x).
We want a series of transformations that will map every point (x,y) back to (x,y). This means that everything that gets done in one transformation must be undone in another. The only one where this happens is #4.
Reflecting across the y-axis first negates the x-coordinate; (x,y) goes to (-x,y).
Reflecting this across the x-axis negates the y-coordinate; (-x,y) goes to (-x,-y).
Reflecting this point back across the y-axis negates the x-coordinate again, returning it to the original: (-x,-y) goes to (x,-y).
Reflecting this point back across the x-axis negates the y-coordinate again, returning it to the original: (x,-y) goes to (x,y).
We are back to our original point.</span></span>
Answer:
Samuel is correct i.e there are infinitely many solutions
Step-by-step explanation:
Given that Samuel and Hayden solved the system of equations –6x – 6y = –6 and 7x + 7y = 7. we have to find that whether the system of equations has infinitely many solutions or not.
A system of linear equations has infinite solutions if the graphs are the exact same line i.e the the equations are equivalent.
The first equation: –6x – 6y = –6 ⇒ x+y=1 ⇒ y=-x+1
∴ the slope of its line is -1 and the y-intercept is 1
The second equation: 7x + 7y = 7 ⇒ x+y=1 ⇒ y=-x+1
∴ the slope of its line is -1 and the y-intercept is 1.
Here, we get the equation which has the same slope and y-intercept as that of the first equation.
In other words, the two equations are represented by the same line. This implies that the lines intersect infinitely many times, or that the system has infinitely many solutions.
Hence, Samuel is correct.
Answer:
1506meters
Step-by-step explanation:
1hour-60minutes
which means half an hour is 30minutes,so it's more like they are asking you to find how far the swimmer can swim in 30minutes
50.2-1min
x -30min
x=50.2×30
x=1506meters
Answer:
Area of the base of the prism = 48cm²
Step-by-step explanation:
A rectangular prism has a rectangular base
Area of a rectangular base, A = length x width
A = 6cm x 8cm = 48cm²
