Let p be the prize of a pen and m the prize of a mechanical pencils. If you buy six pens and one mechanical pencil, you spend 6p+m. We know that this equals 9, because you get 1$ change from a 10$ bill.
Similarly, if you buy four pens and two mechanical pencils, you spend 4p+2m, which is 8$, because now you get a $2 change. Put these equation together in a system:

Now, if you multiply the first equation by 2, the system becomes

Subtract the second equation from the first:

Plug this value into the first equation to get

Answer:
14.45cm2
Step-by-step explanation:
The diagonal is the diameter of the circle.
4.6cm
The perimeter of the circle is
Pi x4.6= 3.142 * 4.6= 14.45cm2
Answer:
Answer:
y = -5(x - 7)^3 - 1
Step-by-step explanation:
You kind of just plug in the numbers.
a vertical stretch by a factor of 5: y = 5x^3
a reflection across the x-axis: y = -5x^3
a vertical translation 1 unit down: -5x^3 - 1
a horizontal translation 7 units right: -5(x - 7)^3 -1
Step-by-step explanation:
Answer:
Option B is the correct answer
Step-by-step explanation:
<u>A line segment is a line drawn with two end points.</u>
1.) Option A is a point
2.) <u>Option B is a line segment</u>
3.) Option C is a ray
4.) Option D is a line
Hope this helps!