Answer:
S = 9.9
Step-by-step explanation:
First, multiply by -3 to remove fractions:
so:
S - 38.4 = -28.5
Take all values to one side by adding 38.4 to both sides
S = 9.9
Given:
The point is (-5,7).
To find:
The image of the given point after 90 degrees counter clockwise rotation.
Solution:
If a point rotated 90 degrees counter clockwise, then
![(x,y)\to (-y,x)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%28-y%2Cx%29)
Let the given point is P(-5,7). Using the above rule, we get
![P(-5,7)\to P'(-7,-5)](https://tex.z-dn.net/?f=P%28-5%2C7%29%5Cto%20P%27%28-7%2C-5%29)
Therefore, the image of the given point after 90 degrees counter clockwise rotation is (-7,-5).
Answer:
y = 3/4x-2
Step-by-step explanation:
Answer:
Raymond was for 29 minutes on the trampoline.
Step-by-step explanation:
We are given the following in the question:
Total cost of session = $43.25
Entrance fee = $7
Cost per minute = $1.25
Let t be the minutes that Raymond was on the trampoline.
Thus, we can write
Total cost =
Entrance fee + cost per mute(minutes that Raymond was on trampoline)
![C(t) = 7 + 1.25t](https://tex.z-dn.net/?f=C%28t%29%20%3D%207%20%2B%201.25t)
Putting the values, we get,
![43.25 = 7 + 1.25(t)\\1.25t = 43.25 - 7\\1.25t = 36.25\\\\t = \dfrac{36.25}{1.25}\\\\t = 29](https://tex.z-dn.net/?f=43.25%20%3D%207%20%2B%201.25%28t%29%5C%5C1.25t%20%3D%2043.25%20-%207%5C%5C1.25t%20%3D%2036.25%5C%5C%5C%5Ct%20%3D%20%5Cdfrac%7B36.25%7D%7B1.25%7D%5C%5C%5C%5Ct%20%3D%2029)
Thus, Raymond was for 29 minutes on the trampoline.
Answer:
While slavery was the major issue separating the North and South, it was not slavery itself that sparked the conflict. The South wanted to secede from the Union, and the North refused. While President Abraham Lincoln personally opposed slavery, he recognized that it was legal under the U.S. Constitution at the time. He also recognized that few in the North were ready to go to war to free the slaves. For Lincoln and the northern majority, preservation of the Union was the foremost goal.