The equation of the image line is y= -0.5x.
When a line is reflected in a certain line, in this case the original line is reflected in the line y=-2, we simply flip it to the other side with respect to the line to which it is reflected. If you are going to graph it, you can see that the distance of the original line (y= 0.5x-4) from the line to which it is reflected (y=-2) and the distance of the reflected line (y=-0.5x) are symmetric.
Answer: y=2x+4
Step-by-step explanation:
the line hits at 4 on the y axis and I did 2 rise, 1 run.
Answer:
To Prove: 
is equal to the sum of its Maclaurin series.
Step-by-step explanation:
If 
, then 
for all n. If d is any positive number and |x| ≤ d, then 
So Taylor's Inequality, with a = 0 and M = 
, says that 
Notice that the same constant 
works for every value of n.
But, since 
,
We have 
It follows from the Squeeze Theorem that 
and therefore 
for all values of x.
By this theorem above, is equal to the sum of its Maclaurin series, that is,
for all x.
Answer:
![\huge \purple {\frac{2 \sqrt[3]{6} + \sqrt[3]{18} }{ 6} }](https://tex.z-dn.net/?f=%20%5Chuge%20%20%5Cpurple%20%7B%5Cfrac%7B2%20%5Csqrt%5B3%5D%7B6%7D%20%2B%20%20%5Csqrt%5B3%5D%7B18%7D%20%7D%7B%20%206%7D%20%20%7D)
Step-by-step Explanation:
![\huge \frac{2 + \sqrt[3]{3} }{ \sqrt[3]{6} } \\ \\ = \huge \frac{(2 + \sqrt[3]{3} )}{ \sqrt[3]{6} } \times \frac{ \sqrt[3]{6} \times \sqrt[3]{6} }{\sqrt[3]{6} \times \sqrt[3]{6}} \\ \\ = \huge \frac{(2 + \sqrt[3]{3} )}{ \sqrt[3]{6} } \times \frac{ \sqrt[3]{6 ^{2} } }{\sqrt[3]{6^{2}} } \\ \\ = \huge \frac{(2 + \sqrt[3]{3} )\sqrt[3]{6} }{ \sqrt[3]{6} \times \sqrt[3]{6 ^{2} }} \\ \\ = \huge \frac{(2 \sqrt[3]{6} + \sqrt[3]{3} \sqrt[3]{6} )}{ \sqrt[3]{6 ^{3} }} \\ \\ = \huge \orange{\frac{2 \sqrt[3]{6} + \sqrt[3]{18} }{ 6} }](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cfrac%7B2%20%2B%20%20%5Csqrt%5B3%5D%7B3%7D%20%7D%7B%20%5Csqrt%5B3%5D%7B6%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Chuge%20%5Cfrac%7B%282%20%2B%20%20%5Csqrt%5B3%5D%7B3%7D%20%29%7D%7B%20%5Csqrt%5B3%5D%7B6%7D%20%7D%20%20%5Ctimes%20%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B6%7D%20%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B6%7D%20%7D%7B%5Csqrt%5B3%5D%7B6%7D%20%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B6%7D%7D%20%20%5C%5C%20%20%5C%5C%20%3D%20%20%5Chuge%20%5Cfrac%7B%282%20%2B%20%20%5Csqrt%5B3%5D%7B3%7D%20%29%7D%7B%20%5Csqrt%5B3%5D%7B6%7D%20%7D%20%20%5Ctimes%20%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B6%20%5E%7B2%7D%20%7D%20%20%7D%7B%5Csqrt%5B3%5D%7B6%5E%7B2%7D%7D%20%20%7D%20%5C%5C%20%20%5C%5C%20%3D%20%20%5Chuge%20%5Cfrac%7B%282%20%2B%20%20%5Csqrt%5B3%5D%7B3%7D%20%29%5Csqrt%5B3%5D%7B6%7D%20%7D%7B%20%5Csqrt%5B3%5D%7B6%7D%20%5Ctimes%20%5Csqrt%5B3%5D%7B6%20%5E%7B2%7D%20%7D%7D%20%20%5C%5C%20%20%5C%5C%20%3D%20%20%5Chuge%20%5Cfrac%7B%282%20%5Csqrt%5B3%5D%7B6%7D%20%2B%20%20%5Csqrt%5B3%5D%7B3%7D%20%5Csqrt%5B3%5D%7B6%7D%20%29%7D%7B%20%20%5Csqrt%5B3%5D%7B6%20%5E%7B3%7D%20%7D%7D%20%20%5C%5C%20%20%5C%5C%20%3D%20%20%5Chuge%20%20%5Corange%7B%5Cfrac%7B2%20%5Csqrt%5B3%5D%7B6%7D%20%2B%20%20%5Csqrt%5B3%5D%7B18%7D%20%7D%7B%20%206%7D%20%20%7D)
Answer:
29 feet for second ladder
Step-by-step explanation: I dont think first is possibe(decimals), second 21 square+ 20 square= 441+200=881, root of 881 is 29.
