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xz_007 [3.2K]
3 years ago
6

Which of the following is the correct slope-intercept form of the equation -4x + 2y = 14? y = 4x + 14 y = -4x + 14 y = 2x + 7 y

= -2x + 7
Mathematics
1 answer:
DerKrebs [107]3 years ago
6 0

Answer:

Step-by-step explanation:

The slope intercept form equation of a straight line is expressed as

y = mx + c

Where

m represents slope

c represents y intercept.

Comparing the given equations with the slope intercept form equation,

2) y = 4x + 14 is in the slope intercept form. Its slope is 4 and the intercept is 14.

3) y = -4x + 14 is in the slope intercept form. Its slope is - 4 and the intercept is 14.

4) y = 2x + 7 is in the slope intercept form. Its slope is 2 and the intercept is 7.

5) y = -2x + 7 is in the slope intercept form. Its slope is - 2 and the intercept is 7.

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In a data ,range is 17 and coefficient of range is 0.2 find the smallest term of the data.
anygoal [31]

Answer:

Step-by-step explanation:

Let largest value of data be L

and smallest value of data be S.

We are given that the range and coefficient of range of the data are 17 and 0.2 respectively.

Range formula is given by = Largest value - Smallest value

                   17  =   L - S

                  L = 17 + S ---------- [Equation 1]

Coefficient of range formula = (Largest - Smallest) ÷ (Largest + Smallest)

                                       0.2   =    l-s/l+s

                                      0.2 = 17/l+s

                 L + S = 17/0.2 = 85

So,    L + S = 85

       17 + S + S = 85   {using equation 1}

           2*S = 80

             S = 80/2 = 40

Putting value of S in equation 1, we get L = 20 + 40 = 60

Therefore,  Largest value, L = 60

               smallest value, S = 40

                         

5 0
3 years ago
Simplify -5 1/4 - (-7 1/2) please<br> also ignore my tabs pls
Kruka [31]

Answer: 1/8

Step-by-step explanation:

1/2 x 1/4 = 1 x 1/2 x 4

8 0
3 years ago
Select the expression equivalent to 4(x - 7) + 8. A 4x - 47 + 8 B 4(x - 15) С 4x - 7 + 8 D 4x - 28 + 8​
mote1985 [20]

Step-by-step explanation:

4(x - 7) + 8

= (4)(x) + (4)(-7) + 8

= 4x - 28 + 8. (D)

7 0
2 years ago
Please help me 7th math
alekssr [168]

Answer:

1/12

Step-by-step explanation:

4 0
2 years ago
The graph shows the dilation of ΔABC with the origin as its center. Which rule describes this transformation? A) (x, y) → (2x, 2
podryga [215]

<u><em>Note: Since, you have not added the graph. So, I will give you a general overview of the concept of dilation, the understanding of which will make you clear your concept.</em></u>

Step-by-step explanation:

We know that a dilation is the kind of transformation which produces an image which has the same shape as the original object, but having a different size.

Here are some key factors regarding dilation:

  • Enlargement occurs when a dilation does create a larger image.
  • Reduction occurs when a dilation does create a smaller image.
  • A dilation shrinks or stretches the original object.
  • If the scale factor > 1, the image will be a stretch (enlargement)
  • If the scale factor is between 0 and 1, the image will be shrunk (reduction)
  • If the scale factor = 1, the original object and the image will be congruent

Here is the impact of dilation when (x, y) → (2x, 2y):

  • Dilation with scale factor 2, will have the rule as (x, y) → (2x, 2y). The image will be a stretch (enlargement) as the scale factor > 1.
  • The location of the new coordinates of the image can be obtained by multiplying the coordinates of the original figure by 2.

For example, the coordinates of the image of a point A(4, 8) will be A'(2×4, 2×8) or A'(8, 16) after the dilation of scale 2 at the origin.

Here is the impact of dilation when (x, y) → (0.5x, 0.5y):

  • Dilation with scale factor 0.5, will have the rule as (x, y) → (0.5x, 0.5y). The image will be shrunk (reduction) as the scale factor < 1.
  • The location of the new coordinates of the image can be obtained by multiplying the coordinates of the original figure by 0.5.

For example, the coordinates of the image of a point A(4, 8) will be A'(0.5×4, 0.5×8) or A'(2, 4) after the dilation of scale 0.5 at the origin.

Keywords: dilation, transformation, enlargement, reduction

Learn more about dilation from brainly.com/question/13846651

#learnwithBrainly

8 0
3 years ago
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