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Anon25 [30]
3 years ago
8

For what values of h and k does the linear system have infinitely many solutions? 2x1 + 5x2 = −1 hx1 + kx2 = 7

Mathematics
1 answer:
Kruka [31]3 years ago
4 0

Answer:

The values of h and k for a linear system with infinitely many solutions are -2 and 5, respectively.

Step-by-step explanation:

Let 2\cdot x_{1}+5\cdot x_{2} = -1\cdot h\cdot x_{1} + k\cdot x_{2} = 7, if this linear system has infinitely many solutions, then the following conditions must be met:

-1\cdot h = 2 and k = 5.

h = -2 and k = 5

The values of h and k for a linear system with infinitely many solutions are -2 and 5, respectively.

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A complex number z=a+bi had an absolute value of 3.28. What could the values of a and b be ? A.a=1.5,b=1.7 C.a=1.7,b=2.8
Levart [38]
The given complex number is ⇒ z = a + b i
The absolute value of z = √( a² + b² ) = 3.28
So, we will check which of the options will give 3.28

<span>( A) IF ⇒⇒ a=1.5 and b=1.7
</span>
<span>∴ √( a² + b² ) = √( 1.5² + 1.7²) = √5.14 ≈ 2.27
</span>
===================================

<span>(B) IF ⇒⇒ a=1.5 and b=3.3
</span>
<span>∴ √( a² + b² ) = √(1.5² + 3.3²) = √13.14 ≈ 3.62
</span>
====================================

<span>(C) IF ⇒⇒ a=1.7 and b=2.8
</span>
<span>∴ √( a² + b² ) = √(1.7² + 2.8²) = √10.73 ≈ 3.28
</span>
====================================

<span>(D) IF ⇒⇒ a=2.8 and b=3.3
</span>
∴ √( a² + b² ) = √(2.8² + 3.3²) = √18.73 ≈ 4.33
=====================================
So, the correct answer is option (C) <span>a=1.7,b=2.8</span>
4 0
3 years ago
George is reading a book.On Monday he read 1/3 of the book. On Tuesday he reads three-tenths of the remaining pages. He has 35 p
solniwko [45]

Answer:

Step-by-step explanation:

m=p/3

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7p=525

p=75

So the book has 75 pages.

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Answer:

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Step-by-step explanation:

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