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garri49 [273]
3 years ago
14

Explain to different ways it is possible to add to rational numbers and get a negative number

Mathematics
1 answer:
maw [93]3 years ago
4 0
Same sign add different sign subtract that means if their both positive you add and if one is positive and the other is negative you subtract

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Write an absolute value equation for the graph shown below
BabaBlast [244]
So, hmmm keeping in mind that, an absolute value expression is in effect a piece-wise function, let's find its "slopes", the negarive slope on the left-side and the positive slope on the right side, and let's use the vertex point as our first point

what is the slope of a line that passes through (2, -1) and (0,7)

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 2}}\quad ,&{{ -1}})\quad 
%   (c,d)
&({{ 0}}\quad ,&{{ 7}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{7-(-1)}{0-2}\implies \cfrac{7+1}{-2}\implies -4
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-1)=-4(x-2)
\\\\\\
\boxed{y+1=-4(x-2)}

now, what is the slope of a line that passes through (2, -1) and (4,7)

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 2}}\quad ,&{{ -1}})\quad 
%   (c,d)
&({{ 4}}\quad ,&{{ 7}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{7-(-1)}{4-2}\implies \cfrac{7+1}{2}\implies 4
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-1)=4(x-2)
\\\\\\
\boxed{y+1=4(x-2)}

since an absolute value expression is just a piece-wise with a +/- versions, then we can just combine those two.

\bf \begin{cases}
y+1=-4(x-2)\\
y+1=4(x-2)
\end{cases}\implies y+1=\pm 4(x-2)
\\\\\\
y+1=|4(x-2)|\implies y=|4(x-2)|-1
7 0
3 years ago
Hey please help with these algebra problems. THANKS!
____ [38]

Answer:

1 is correct for d

2 is the is no solution

not sure if I'm right been awhile since i did math so sorry if I'm wrong

Step-by-step explanation:


7 0
3 years ago
Find m∠IUV if m∠TUI = 65° and m∠TUV = 147°
victus00 [196]

The measure of the m∠IUV using the addition postulate is equivalent to 82 degrees

<h3>Lines and angles</h3>

A line is defined as the shortest distance between two points while an angle is the point where two lines meet.

Given the following measure of angles

m∠TUI = 65° and

m∠TUV = 147°

Required angle

m∠IUV

Using the addition postulate below

m∠TUV = m∠TUI + m∠IUV

Substitute the given parameters

147 = 65 + m∠IUV

m∠IUV = 147 - 65

m∠IUV  = 82 degrees

Hence the measure of the m∠IUV using the addition postulate is equivalent to 82 degrees

Learn more on addition postulate here: brainly.com/question/2134445

#SPJ1

3 0
2 years ago
I don't get this. I could really use help.​
olga nikolaevna [1]

The y intercept is what the y value is when x is 0.

Set X to 0 and solve:

-2/9(0) + 1/3

0 + 1/3 = 1/3

The y-intercept is 1/3

6 0
3 years ago
8.7+16.84+0.37. <br><br><br>please help me ​
horrorfan [7]

Answer:

25.91

Step-by-step explanation:

Step-by-step explanation

7 0
3 years ago
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