Given

we have

Squaring both sides, we have

And finally

Note that, when we square both sides, we have to assume that

because we're assuming that this fraction equals a square root, which is positive.
So, if that fraction is positive you'll actually have roots: choose

and you'll have

Which is a valid solution. If, instead, the fraction is negative, you'll have extraneous roots: choose

and you'll have

Squaring both sides (and here's the mistake!!) you'd have

which is not a solution for the equation, if we plug it in we have

Which is clearly false
Step-by-step explanation:
Let the two numbers be 20x and 10x
Then by the question,
20x + 10x = 300
or, 30x = 300
or, x = 300/ 30
x = 10
Now the larger number
20x = 20* 10 = 200.
Hope it will help you :)
Answer:
Perimeter = 180
Area = 1080
Step-by-step explanation:
Perimeter is length of all sides added together. 30+78+72 = 180
Area is the length times the height/2 for a triangle. 30*72/2 = 1080
I hope this helped <3
Answer:
42 strawberries are in each basket. 4 strawberries are left over.
Step-by-step explanation:
To find out how many she put into each basket, you need to divide 256/6. Your answer should 42.6666667. Round down to 42.
To find out how many are left over, multiply 42 x 6. You need to do this to figure out how many strawberries total she used trying to put them evenly into the baskets. Your answer should be 252. Then, you subtract 256 - 252. You do this to find out how many are left over. Your answer is 4.
Im so sorry but I didn't learn that yet