Answer:
Otis can buy 6 pencils...
Answer:
y = (-1)x
Step-by-step explanation:
What you are to do here is to "rewrite -y - x = 0 in the slope-intercept form y = mx + b."
Start by solving -y - x = 0 for y: -y = x or y = -x.
Rewrite this by inserting the coefficient 1 and representing b by 0:
y = (-1)x + 0
which is equivalent to y = (-1)x
Answer:
-7
Step-by-step explanation:
-7 is the number that is attached to the y. It is the coefficient. Another possible coefficient is 1, but you do not need to write it, as anything multiplied by 1 is equal to the original number.
Hope this was helpful! Let me know if you have any further questions. :)
Answer:

Step-by-step explanation:
The given expression is
![\sqrt[11]{y^2z^4}](https://tex.z-dn.net/?f=%5Csqrt%5B11%5D%7By%5E2z%5E4%7D)
The exponent property ![\sqrt[n]{x^ay^b}=x^{a/n}y^{b/n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5Eay%5Eb%7D%3Dx%5E%7Ba%2Fn%7Dy%5E%7Bb%2Fn%7D)
Applying this exponent property, we have
![\sqrt[11]{y^2z^4}\\\\=y^{2/11}z^{4/11}](https://tex.z-dn.net/?f=%5Csqrt%5B11%5D%7By%5E2z%5E4%7D%5C%5C%5C%5C%3Dy%5E%7B2%2F11%7Dz%5E%7B4%2F11%7D)
Now, the given numeric values are x = 9, y= 8, and z= 16
On substituting these values in the simplified expression, we get

This can be further simplified by writing 

Now, applying the product rule of exponent: 

Answer:
502.4 square inches
Step-by-step explanation:
To find the area of the shaded region, you first need to find the area of the smaller circle with diameter 12, and then subtract that from the area of the larger circle. Since the diameter of a circle is twice the radius, the radius of the smaller circle is 6, and its area is therefore:

The area of the larger circle, which has radius 6+8=14, is:

Subtracting the area of the smaller circle from his, you get an area of 502.4 square inches for the shaded area. Hope this helps!