All categories

3 years ago

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

1 answer:

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

You might be interested in

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