Answer:
the building strong enough to withstand the denali quake
Step-by-step explanation:
denali quake 6.7 x 70 = 469
the building in denali should be strong enough to withstand an earthquake of that magnitude
rat island quake 7.8 x 30 = 234
the building in the rat islands should be strong enough to withstand an earthquake of that magnitude
Answer:
![3^{7} = 2187](https://tex.z-dn.net/?f=3%5E%7B7%7D%20%3D%202187)
Step-by-step explanation:
The base of the log, 3, would be the base of the exponent. The =7 would be the exponent itself, so now we have
. The log of 2187 would be the = for the exponential form, so we have
as our final answer.
Given:
The objective is to find the slope of the straight line.
Explanation:
The general equation to find the slope is,
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Let's consider two coordinates from the graph.
![\begin{gathered} (x_1,y_1)=(0,0) \\ (x_2,y_2)=(-1,5) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28x_1%2Cy_1%29%3D%280%2C0%29%20%5C%5C%20%28x_2%2Cy_2%29%3D%28-1%2C5%29%20%5Cend%7Bgathered%7D)
On plugging the values in the equation of slope,
![\begin{gathered} m=\frac{5-0}{-1-0} \\ m=-5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20m%3D%5Cfrac%7B5-0%7D%7B-1-0%7D%20%5C%5C%20m%3D-5%20%5Cend%7Bgathered%7D)
Hence, the slope of the straight line is -5.