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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1 person make 3 cakes.
40 people make 40 x 3 = 120 cakes.
15% were chocolate = 15% x 120 = 0.15 x 120 = 18
Answer: There were 18 chocolate cakes made for bake sale.
Answer:
m = -3/5
Step-by-step explanation:
-5m = 3
Divide each side by -5
-5m/-5 = 3/-5
m = -3/5
Answer:
see attachment
Step-by-step explanation:
Answer:
The correct option is 1.
Step-by-step explanation:
It is given than the area of the triangle ABC is 46cm².
Area of a triangle is

Base of the triangle is AB and height of the triangle is CD.



The area of the triangle is 46cm².



Therefore the length of side AB is 11.5 cm. Option 1 is correct.