Step-by-step explanation:
We have:
x - y = 43 , xy = 15
To find, the value of x^2+y^2x
2
+y
2
= ?
∴ x - y = 43
Squaring both sides, we get
(x - y)^2(x−y)
2
= 43^243
2
⇒ x^2+y^2x
2
+y
2
- 2xy = 1849
Using the algebraic identity,
(a - b)^2(a−b)
2
= a^2+b^2a
2
+b
2
- 2ab
⇒ x^2+y^2x
2
+y
2
= 1849 + 2xy
Put xy = 15, we get
x^2+y^2x
2
+y
2
= 1849 + 2(15)
⇒ x^2+y^2x
2
+y
2
= 1849 + 30
⇒ x^2+y^2x
2
+y
2
= 1879
∴ x^2+y^2x
2
+y
2
= 1879
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Answer:
6097
Step-by-step explanation:
6,250 + 3.75% =
6,484.375
6,484.375 - 6,250 =
234
1,000,000 - 6,250 =
993,750
993,750 / 234 =
4,247
1890 + 4,247 =
6097
Answer:
7:35
Step-by-step explanation:
we take the 35 and 45 and add it together, then take out the 60 minutes and put that in as an hour. the practice is two hours long plus the hour we took out. then the remaining minutes are 20. we add 20 minutes and three hours
Answer in fraction form: 5/8
Answer in decimal form: 0.625
==============================================
Explanation:
There are 5 sides that aren't labeled "1" out of 6 total. So the probability of not rolling a "1" on the six-sided die is 5/6
Similarly, there are 3 sides that aren't labeled "1" out of 4 sides on the four-sided die. The probability of not rolling a "1" for this die is 3/4
Multiply the fractions
(5/6)*(3/4) = (5*3)/(6*4) = 15/24 = 5/8
The answer in fraction form is 5/8 which converts to 0.625 (use long division or a calculator)
Note: the multiplication of probabilities works because the two events (of rolling each die) are independent
