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3 years ago

What is the answer for finding the slope from two points. Please help I am very confused

Mathematics

1 answer:

Nataly [62]3 years ago

7 0

Slope = $\frac{y2 - y1}{x2 - x1}$
------------------
Substitute as followed
y2 = 4
y1 = 1/2
x2 = 1/2
x1 = 2
Slope = $\frac{4- \frac{1}{2} }{ \frac{1}{2}-2}$
--------------------------
Solve
4 - 1/2 = 7/2
1/2 - 2 = -3/2
$\frac{7/2}{-3/2}$
-7/3 = slope

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Rudiy27

Answer:

7.5

Step-by-step explanation:

40*2.5=100

3*2.5=7.5

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3 years ago

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Suppose that A and B are nonsingular matrices. Then AB is also nonsingular. Furthermore, a theorem from linear algebra then stat

kherson [118]

Answer:

A) Verified

B) Proved

Step-by-step explanation:

a) Let's verify it for 2 x 2 matrix,

$A=\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]$ and $B=\left[\begin{array}{ccc}e&f\\g&h\end{array}\right]$

$AB=\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]\left[\begin{array}{ccc}e&f\\g&h\end{array}\right]=\left[\begin{array}{ccc}a.e+b.g&a.f+b.h\\c.e+d.g&c.f+d.h\end{array}\right]$

$(AB)^{-1}=\frac{1}{(a.e+b.g)(c.f+d.h)-(a.f+b.h)(c.e+d.g)}\left[\begin{array}{ccc}c.f+d.h&-(a.f+b.h)\\-(c.e+d.g)&a.e+b.g\end{array}\right]$

$A^{-1}=\frac{1}{a.d-b.c} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right]$

$B^{-1}=\frac{1}{e.h-f.g} \left[\begin{array}{ccc}h&-f\\-g&e\end{array}\right]$

$B^{-1}A^{-1}=\frac{1}{(a.e+b.g)(c.f+d.h)-(a.f+b.h)(c.e+d.g)}\left[\begin{array}{ccc}c.f+d.h&-(a.f+b.h)\\-(c.e+d.g)&a.e+b.g\end{array}\right]$

So it is proved that the results are same.

b) Now, let's prove it for any n x n matrix.

$(AB)(AB)^{-1}=I\\\\A^{-1}(AB)(AB)^{-1}=A^{-1}I\\\\IB(AB)^{=1}=A^{-1}I\\\\B(AB)^{=1}=A^{-1}\\\\B^{-1}B(AB)^{=1}=B^{-1}A^{-1}\\\\I(AB)^{=1}=B^{-1}A^{-1}\\\\(AB)^{=1}=B^{-1}A^{-1}$

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3 years ago

I'm supposed to answer this word problem "Martin bought a television for $225. It had been on sale for 25% off. How much money d

garik1379 [7]

Answer:

<em>Martin saved $75 on the television because of the sale</em>

Step-by-step explanation:

<u>Equations</u>

Let's call x=the original price of the television (before discount).

The television had been on sale for 25% off, this means the discount was:

25% of x = $\frac{25}{100}.x$ = 0.25x

The sale price was the original price minus the discount:

x - 0.25x = 0.75x

This is what Martin paid, thus:

0.75x = 225

Dividing by 0.75:

x = 225 / 0.75

x = $300

The original price of the television was $300, and the discount was:

0.25*$300 = $75

Martin saved $75 on the television because of the sale

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3 years ago

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SashulF [63]

What is this about? Graphing plots?

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3 years ago

Susannah has a high-yield savings account into which she deposits $120 each month. At the beginning of the year, Susannah's acco

boyakko [2]

Answer:

A - $2240

Step-by-step explanation:

120(12) + 800 =

1440 + 800 = 2240

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3 years ago

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