4p+2c=54
4p+2(21-p)=54
4p+42-2p=54
2p+42=54
2p=12
p=6
4p+2c=54
4(6)+2c=54
24+2c=54
2c=30
c=15
p=6, c=15
Answer:
2n +11
Step-by-step explanation:
4n+11−2n
Combine like terms
4n -2n +11
2n +11
Answer:
3<x<7
Step-by-step explanation:
if a < u < b then a<u and u<b
3<2x-3 and 2x-3<11
3<2x-3 x>3
2x-3<11
x<7
x>3 and x<7
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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