Answer:

Step-by-step explanation:
Raising a number to the 1/2 power is the same as square rooting it. Raising something to the 1/2 power is the same as asking for 2 equal factors that can be multiplied together to give you that number. For example,
is 3, but 9^1/2 is also 3.
We are given that Kristine spends $20 and saves the rest each time she get paid.
We can use slope-intercept form y=mx+b to represent the equation.
Where x represents the amount Kristine earns and y represents the amount she saves.
Kristine spends $20. Therefore b= -20.
Plugging mx as just x and b=-20.
<h3>y = x-20.</h3><h3>If we plug y=0, we get </h3><h3>0 = x-20</h3><h3>x=20.</h3><h3>We can see in 4th option we have x-intercept =20.</h3><h3>Therefore, correct option is 4th option. </h3><h3 />
Answer:
The correct ordered pair is (7,1)
Step-by-step explanation:
The given system has equations:


We make x the subject in the first equation to get:

Put equation 3 into equation 2 to get:

Expand:




Put y=1 into equation 3 and solve for x.

The correct ordered pair is (7,1)
There is a not so well-known theorem that solves this problem.
The theorem is stated as follows:
"Each angle bisector of a triangle divides the opposite side into segments proportional in length to the adjacent sides" (Coxeter & Greitzer)
This means that for a triangle ABC, where angle A has a bisector AD such that D is on the side BC, then
BD/DC=AB/AC
Here either
BD/DC=6/5=AB/AC, where AB=6.9,
then we solve for AC=AB*5/6=5.75,
or
BD/DC=6/5=AB/AC, where AC=6.9,
then we solve for AB=AC*6/5=8.28
Hence, the longest and shortest possible lengths of the third side are
8.28 and 5.75 units respectively.
Answer:
the answer is b
Step-by-step explanation: