Answer:
He cuts off a section representing a percent of the current area so that the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph.
Answer:
-48x+16
Step-by-step explanation:
-8(6x - 2) first multiply each term in the parentheses by 8 to get -8x6x-8x(-2) and calculate the product to get your answer which is -48x+16
<h2>3</h2>
Step-by-step explanation:
The equation of line passing through the two points is ![\frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}](https://tex.z-dn.net/?f=%5Cfrac%7By-y_%7B1%7D%20%7D%7Bx-x_%7B1%7D%20%7D%3D%5Cfrac%7By_%7B2%7D%20-y_%7B1%7D%7D%7Bx_%7B2%7D%20-x_%7B1%7D%7D)
When substituted,the equation becomes ![\frac{y-6}{x-2}=\frac{18-6}{6-2}](https://tex.z-dn.net/?f=%5Cfrac%7By-6%7D%7Bx-2%7D%3D%5Cfrac%7B18-6%7D%7B6-2%7D)
which when simplified is ![y=3\times x](https://tex.z-dn.net/?f=y%3D3%5Ctimes%20x)
The line clearly passes through origin.
The distance between two points is ![\sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28y_%7B1%7D-y_%7B2%7D%20%29%5E%7B2%7D%2B%28x_%7B1%7D-%20x_%7B2%7D%20%29%5E%7B2%7D%7D)
Distance between origin and
is
.
Distance between origin and
is ![\sqrt{360}](https://tex.z-dn.net/?f=%5Csqrt%7B360%7D)
Scale factor is ![\frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}](https://tex.z-dn.net/?f=%5Cfrac%7Bdistance%5Ctext%7B%20%7Dof%5Ctext%7B%20%7Dp_%7B2%7D%5Ctext%7B%20from%20origin%7D%7D%7Bdistance%20%5Ctext%7B%20%7D%20of%20%5Ctext%7B%20%7D%20p_%7B1%7D%5Ctext%7B%20from%20origin%7D%7D)
So,scale factor is ![\frac{\sqrt{360} }{\sqrt{40} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B360%7D%20%7D%7B%5Csqrt%7B40%7D%20%7D)
which when simplified becomes 3.
Answer: 283
Step-by-step explanation:
To find the median, you have to first arrange the figures in the distribution in ascending order:
210, 249, 316, 443
As this is an even distribution, the Median will be found by adding up the second and third numbers and then dividing by 2:
= (249 + 316) / 2
= 283
Answer:
a = 4
Step-by-step explanation:
2a + 7 = 15
- 7 - 7
2a = 8
/2 /2
a = 4
Hope this helps!