Answer:
25. a = 60
26. a = 17
Step-by-step explanation:
In these two problems we are going to use a property of parallelograms that says: opposite angles have equal measure
so we have
25.
![6a+10=130\\\\6a=130-10\\\\6a=120\\\\a=60](https://tex.z-dn.net/?f=6a%2B10%3D130%5C%5C%5C%5C6a%3D130-10%5C%5C%5C%5C6a%3D120%5C%5C%5C%5Ca%3D60)
and for 26 we have
![4a-4=2a+30\\\\4a=2a+30+4\\\\4a=2a+34\\\\4a-2a=34\\\\2a=34\\\\a=17](https://tex.z-dn.net/?f=4a-4%3D2a%2B30%5C%5C%5C%5C4a%3D2a%2B30%2B4%5C%5C%5C%5C4a%3D2a%2B34%5C%5C%5C%5C4a-2a%3D34%5C%5C%5C%5C2a%3D34%5C%5C%5C%5Ca%3D17)
The parent function is f(x) = x^3 with domain = all real numbers and range = all real numbers.
The given function is f(x) = x^3 - 2 with domain = all real numbers and range = all real numbers.
Check the picture below.
using a second for it, since it's a horizontal line, then say hmmm we'll use the y-intercept, or (0, 1), so the equation of a line that passes through (2,1) and (0,1)
<h3>
Answer: Choice D</h3>
Explanation:
Any time Alyssa is increasing her speed, the graph will move uphill when going from left to right.
If she slows down, then the graph will move downhill when going left to right.
Always move from left to right when reading a graph because this is how the time axis is set up.
Any flat part represents portions where her speed is constant, i.e. doesn't change.
With all that in mind, the answer is choice D because
- The first portion is going uphill (she's increasing her speed). This portion spans horizontally from 0 seconds to 20 seconds.
- The next portion is her slowing down (the graph is going downhill). This portion spans horizontally from 20 seconds to 30 seconds (so we have a 10 second duration).
- The third portion is where Alyssa is driving at some fixed speed that doesn't change. This portion is 20 seconds long.
- The last portion is Alyssa slowing down and coming to a complete stop. This portion is 5 seconds long.
Answer:
x=15
Step-by-step explanation:
Substitute the values to check your answer...
(x²-11x)=60
(15²-11*15) =60.