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boyakko [2]
2 years ago
11

Explain how you can use absolute value to tell whether

Mathematics
1 answer:
kicyunya [14]2 years ago
3 0

Answer:

Let the integers are p and q.

In case both integers are positive or negative, you add the numbers up and apply their sign to the sum.

<u>Examples:</u>

  • 10 + 88 = 98
  • -20 + (-15) = -35

In case one of the integers is negative and one positive.

  • p < 0, q > 0

Use absolute value in this case.

Subtract the numbers and apply the sign of the number with the greater absolute value.

<u>Examples:</u>

  • - 10 + 15 = |15 - 10| = |5| = 5
  • - 15 + 10 = - |15 - 10| = - |5| = -5
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Find the equation of the line that passes through points (3,5) and (-6,2). Write the equation in slope intercept form.
andrezito [222]
1)  gradient of line = Δ y ÷ Δ x
                              = (5 -2) ÷ (3 - (-6))
                              = ¹/₃
   
     using the point-slope form (y-y₁) = m(x-x₁)
     using (3,5)
           (y - 5) = ¹/₃ (x -3)
             y - 5  = ¹/₃x - 1
        ⇒      <span>  y =   ¹/₃ x  + 4  [OPTION D]


</span>2)        y =  2x  +  5  .... (1)
<span>           </span>y = ¹/₂ x  + 6  .... (2)
       
         by substituting y in (1) for y in (2)

           2x  +  5 = ¹/₂ x  + 6 
                 ³/₂ x = 1
                      x = ²/₃

        by substituting found x (2)

            y = ¹/₂ (²/₃)  + 6
            y = ¹⁹/₃

∴ common point is (²/₃ , ¹⁹/₃)  thus answer is FALSE [OPTION B]


3) Yes [OPTION A]
     This is because the both have a gradient of 5 and if they have the same gradient then that means that the two lines are parallel to each other.

4) No [OPTION B]
       Two lines are perpendicular if their gradients multiply to give - 1 and as such one is the negative reciprocal of the other.  Since both gradients are ¹/₂ then they are actually parallel and not perpendicular.

6 0
3 years ago
Could someone pretty please help me on this. I need explanation.
astraxan [27]

Answer:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.

Step-by-step explanation:

here are a few more things you might want to know will douing this

How do you know which slope is steeper?

When you look at the two lines, you can see that the blue line is steeper than the red line. It makes sense the value of the slope of the blue line, 4, is greater than the value of the slope of the red line, . The greater the slope, the steeper the line.

Can you create a line segment with infinite steepness?

An infinite slope is simply a vertical line. When you plot it on a line graph, an infinite slope is any line which runs parallel to the y-axis. You can also describe this as any line that doesn't move along the x-axis but stays fixed at one constant x-axis coordinate, making the change along the x-axis 0.

How does rate of change affect the steepness of a line?

The steepness of a line is essentially the slope. ... A negative slope would be depicted by a line going from the upper left to bottom right. Slope values increase the higher the number is: For instance, a line with a slope of 2 is steeper than a line with a slope of 12 . Hope this helps!Jun 20, 2018

What are the 3 slope formulas?

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

What is a 6% grade?

A road sign indicating a 6% grade, or 6% slope. A six percent slope means that the road elevation changes 6 feet for every 100 feet of horizontal distance (Figure 1.3). ... A road climbs at a gradient of 6 percent. The road gains 6 feet in elevation for every 100 feet of horizontal distance.

What does the slope represent?

The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x.

IF YOU NEED MORE  INFO LET ME KNOW I DID NOW WANT TO PUT TO MUCH IN HERE

3 0
3 years ago
4. The constant of proportionality between the height of the water in a sink (h) in centimeters and the number of minutes it has
RUDIKE [14]

Answer:

i got 38

Step-by-step explanation:

6 0
3 years ago
Translate the expression<br><br> One less than twice a number
Alja [10]

Answer:

<em><u>2x – 1 = 17</u></em>

Explanation:

Hope it helps you..

Y-your welcome in advance..

(;ŏ﹏ŏ)(ㆁωㆁ)

3 0
2 years ago
What is 5 times 2 plz help
nikklg [1K]
Its is 10. U welcome
8 0
3 years ago
Read 2 more answers
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