One of the sides of a parallelogram is 4.2 cm and the altitude to that side is 3.6 cm. Find the perimeter of the parallelogram i
1 answer:
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First let's factor a 5 from every term.
5v^2-30v+40
=5(v^2-6v+8)
The v^2-6x+8 can be further factored using the x method(as I call it, its not its official name of course), You can get
5(v^2-6v+8)
=5(v-2)(v-4)
Done! any questions just ask in the comment section.
**Edit: You needed the area model so here is how it goes, I cannot draw lines but I will try my best.
we have original equation 5v^2-30v+40
first simplify to 5(v^2-6v+8)
Now factor the second part but using area model.
v -2
_____________
v | | -2v |
--------------------------
-4 | -4v | 8 |
_____________
This is basically the area model the thing in the middle is suppose to be a rectangle split into 4 parts and then the numbers on top and left are suppose to be the factored equations while they multiplies to the number in the box.
<u>Is this efficient?</u>
Definitely not, it took me longer to draw the box than write my whole first explanation.
<u>Is this easy?</u>
No, again it took me about 170 times longer to think of this answer this way.
<u>Should you use this method?</u>
Sure if your teacher wants you to, but just saying later in algebra these methods are way to slow and there are way better methods to factor, so if you arn't solid in the area model just don't worry about it.
Answer: a. 0.542
b. 0.051
c.
Step-by-step explanation:
Let p be the population proportion of parents spend too little time with their children because of work commitments
As per given , we have
n= 369
Since the sample proportion is the best estimate for the population proportion.
So , the point estimate of the proportion of the population of working parents who feel they spend too little time with their children because of work commitments = 0.542
z-value for 95% confidence interval :
Margin of error :
The margin of error = 0.051
Confidence interval :
95% confidence interval estimate of the population proportion of working parents who feel they spend too little time with their children because of work commitments :