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3 years ago

50 POINT QUESTION Are matrices A and B inverses?

Mathematics

2 answers:

MrRa [10]3 years ago

8 0

Answer:

Step-by-steYes, they are.

plug matrices into calculator and find the inverse.

Inverse of matrices:

plug matrix into calculator

second matrix

edit

second quit

second matrix

press A

press x^ -1

enterp explanation:

Andreyy893 years ago

4 0

Yes, they are.
plug matrices into calculator and find the inverse.
Inverse of matrices:
plug matrix into calculator
second matrix
edit
second quit
second matrix
press A
press x^ -1
enter

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PART A

The given equation is

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We again factor -16 out of the first two terms to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4})^{2} ) - -16( - \frac{5}{4})^{2} + 4$

This implies that,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4}) ^{2} ) + 16( \frac{25}{16}) + 4$

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This finally simplifies to,

$h(t) = - 16 ( t- \frac{5}{4}) ^{2} +29$

The vertex of this function is

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The y-value of the vertex is the maximum value.

Therefore the maximum value is,

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When the ball hits the ground,

$h(t) = 0$

This implies that,

$- 16 ( t- \frac{5}{4}) ^{2} +29 = 0$

We add -29 to both sides to get,

$- 16 ( t- \frac{5}{4}) ^{2} = - 29$

This implies that,

$( t- \frac{5}{4}) ^{2} = \frac{29}{16}$

$t- \frac{5}{4} = \pm \sqrt{ \frac{29}{16} }$

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Since time cannot be negative, we discard the negative value and pick,

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