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4 years ago

What is the slope ? Please help

Mathematics

2 answers:

S_A_V [24]4 years ago

4 0

Answer:

y = -2/3x + 3 pic below to show proof i hope this helps! :)

Step-by-step explanation:

looking at the photo this slope is negative

we can see 2 given points (0,3) and (3,1)

y = +/- ?/?x +/- ?

from the point (0,3) we move down 2

y = -2/? x + ?

from the point that was moved down 2, we move over 3 to get to (3,1) y = -2/3x + ?

the line crosses the 3 on the y-axis

y = -2/3x + 3

lisov135 [29]4 years ago

3 0

Answer:

-2/3

Step-by-step explanation:

Okay, this is a fairly simple question.

First, you want to pick two pairs of coordinates (X,Y).

In this case, I chose (-3, 5) and (3, 1)

Now, you want to use the formula to find slope : y2-y1/x2-x1

1-5/3-(-3)

-4 divided by 6

=-2/3

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3 years ago

Write the equation of a hyperbola with vertices (0, -4) and (0, 4) and foci (0, -5) and (0, 5).

andre [41]

Check the picture below. So, more or less looks like so.

notice, the center is clearly at the origin, and notice how long the "a" component is, also, bear in mind that, is opening towards the y-axis, that means the fraction with the "y" variable is the positive one.

Also notice, the "c" distance from the center to either foci, is just 5 units.

$\bf \textit{hyperbolas, vertical traverse axis }\\\\
\cfrac{(y-{{ k}})^2}{{{ a}}^2}-\cfrac{(x-{{ h}})^2}{{{ b}}^2}=1
\qquad 
\begin{cases}
center\ ({{ h}},{{ k}})\\
vertices\ ({{ h}}, {{ k}}\pm a)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{{{ a }}^2+{{ b }}^2}
\end{cases}\\\\
-------------------------------\\\\$

$\bf \begin{cases}
h=0\\
k=0\\
a=4\\
c=5
\end{cases}\implies \cfrac{(y-{{ 0}})^2}{{{ 4}}^2}-\cfrac{(x-{{ 0}})^2}{{{ b}}^2}=1\implies \cfrac{y^2}{16}-\cfrac{x^2}{b^2}=1
\\\\\\
c=\sqrt{a^2+b^2}\implies c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\\\\\\
\sqrt{5^2-4^2}=b\implies \boxed{3=b}
\\\\\\
\cfrac{y^2}{16}-\cfrac{x^2}{3^2}=1\implies \boxed{\cfrac{y^2}{16}-\cfrac{x^2}{9}=1}$

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3 years ago

Blake solved the following division exercise : 136 divided by 3 = 44 R4. Explain how you know the answer is wrong just by lookin

son4ous [18]

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