X + y = 9 Subtract x from both sides.
y = 9 - x
x^2 + y^2 = 53
x^2 + (9 - x)^2 = 53 Remove the brackets.
x^2 + 81 - 18x + x^2 = 53 Collect the like terms on the left.
2x^2 - 18x + 81 = 53 Subtract 53 from both sides.
2x^2 - 18x + 81 - 53 = 0
2x^2 - 18x + 28 = 0 This factors, but you can see it much easier if you pull out 2 as a common factor.
2(x^2 - 9x + 14) = 0
2(x - 2)(x - 7) =0 You could divide by 2 on both sides. But you can also leave it.
x - 2 = 0
x = 2
x - 7 = 0
x = 7
If x = 2 then y = 7
If x = 7 then y = 2
Answer:
50
Step-by-step explanation:
.3x=15
x=50
Answer:
Step-by-step explanation:
x + x + 2x = 80
4x =80
X = 20
Nick = 20
Paul = 20
Krutika = 40
Answer:
6 1/2 feet or 78 inches tall
Step-by-step explanation:
You have to multiply 4/8 by 7/1
First you multiply the nominators: 4 × 7 = 28
Then you multiply the denominators: 8 × 1 = 8
So the fraction would be 28/8 and it simplifies to 7/2
You can turn it into an improper fraction by seeing how many times 2 will go into seven evenly, which would be 6 times with 1 half left over
Therefore it would be 6 1/2 feet or 78 inches tall
Answer:
The gram and kilogram are two units used to measure mass in the metric system . From the gram, we get the rest of the metric units using the standard metric prefixes. A paper clip has a mass of about 1 gram. A 1 liter bottle of water has a mass of 1 kilogram (plus a little bit extra for the plastic).