Answer:
I found two different solutions. Hope one of them help!
1. x = -1/3 = -0.333
2. x = 5/2 = 2.500
Step-by-step explanation:
13 ± √ 289
x = ——————
12
Can √ 289 be simplified ?
Yes! The prime factorization of 289 is
17•17
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 289 = √ 17•17 =
± 17 • √ 1 =
± 17
So now we are looking at:
x = ( 13 ± 17) / 12
Two real solutions:
x =(13+√289)/12=(13+17)/12= 2.500
or
x =(13-√289)/12=(13-17)/12= -0.333
Two solutions were found :
x = -1/3 = -0.333
x = 5/2 = 2.500
20% of 100 is 20. divide that by 2 to get 20% of 50. 20/2 is 10. 20% of 50 is 10. There are 10 blue marbles.
Hope it helped :)
Ali
Answer:
b
Step-by-step explanation:
We write this like this:
49=35%x
and we want to find the x.
let's invert the sides:
35%x=49.
35 is equal to 0.35
0.35*x=49
and now we only divide both sides by 0.35:
x=140
so the answer is 140.
(aternatively we can do it through fractions:
35/100*x=49
divide both sides by 7:
5/100*x=7
simplify the first fraction
1/20*x=7
and multiply by 20:
x=140
Question 1
Let the scale factor be k.
Then, we have the mapping
This implies that:
We equate any corresponding component find the value of the scale factor k.
6k=2
Hence the scale factor is 
Question 2:
The midpoint of any two points can be calculated using the formula;
We want to find the midpoint of (-8, 5) and (2, -2).
The midpoint is:
