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mr Goodwill [35]
3 years ago
14

Find the equation of the linear function represented by the table below in slope-intercept form.

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
3 0

Answer:

y= 8x +7

Step-by-step explanation:

<u>slope-intercept form:</u>

y= mx +c, where m is the gradient (or slope) and c is the y-intercept.

Since it is a linear function, the gradient of any 2 points would be equal.

gradient =  \frac{y1 - y2}{x1 - x2}

Thus, gradient of the line

=  \frac{39 - 23}{4 - 2}  \\  =  \frac{16}{2}  \\  = 8

Subst. m=8 into the equation:

y= 8x +c

To find the value of c, substitute a pair of coordinates.

When x=0, y= 7,

7= 8(0) +c

c= 7

Thus, the equation of the linear function is y= 8x +7.

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What is the approximate surface area of the sphere if circumference is 37.68?
damaskus [11]

The surface area of a sphere is  A = 4 π R² .

Sadly, the question doesn't give you 'R', so you have to
back it out of the circumference.

                           Circumference = π (diameter)

Divide each side by π :  Diameter = circumference / π

Radius = 1/2 diameter:  Radius = circumference / (2 π)

                                       Area = 4 π R²  =

                                                 4 π (circumference/2π)² =

                                                 4 π (circumference)² / 4 π²

Divide top and bottom by  4π :  Area = (Circumference)² / π

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8 0
3 years ago
DUE SOON PLZ HELP BRO
Daniel [21]
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6 0
3 years ago
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Place the indicated product in the proper location on the grid.<br> (4ya - 6xb)(4ya + 6xb)
k0ka [10]

Product of (4ya - 6xb)(4ya + 6xb) is 16y^2a^2-36x^2b^2

Step-by-step explanation:

We need to find the product of (4ya - 6xb)(4ya + 6xb)

Finding product:

Multiplying both terms:

(4ya - 6xb)(4ya + 6xb)\\=4ya(4ya+6xb)-6xb(4ya+6xb)\\=16y^2a^2+24yaxb-24xbya-36x^2b^2\\=16y^2a^2-36x^2b^2

So, product of (4ya - 6xb)(4ya + 6xb) is 16y^2a^2-36x^2b^2

Keywords: Product of polynomials

Learn more about Product of polynomials at:

  • brainly.com/question/4282963
  • brainly.com/question/2403985
  • brainly.com/question/5030671

#learnwithBrainly

6 0
3 years ago
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Can you answer 20-23 and please show work. Need on Thanks-giving or earlier.
Paha777 [63]
20. parallel lines will have the same slope, but different y intercepts
      In y = mx + b form, the slope is in the m position and the y intercept is        in the b position.
      So y = 3x + 4 and y = 3x + 6 are parallel lines

21. perpendicular lines will have negative reciprocal slopes.
      lets say u have a line..y = 2/3x + 4....the slope here is 2/3. To find the negative reciprocal, flip the slope and change the sign. So we have 2/3, flip the slope making it 3/2, change the sign making it -3/2. So ur perpendicular line will have a slope of -3/2.
so ur equations can be : y = 2/3x + 4 and y = -3/2x + 4

22. y = 2x + 5...slope here is 2. Parallel lines have the same slope.

y = mx + b
slope(m) = 2
(-3,1)...x = -3 and y = 1
sub and find b, the y int
1 = 2(-3) + b
1 = -6 + b
1 + 6 = b
7 = b
so this equation is : y = 2x + 7

23. 4x + 3y = (I cant see the last number..but we dont need it)
      3y = -4x + ?
      y = -4/3x + ?.....slope here is -4/3. A perpendicular line will have a negative reciprocal slope. So out perpendicular line will have a slope of 3/4.

y = mx + b
slope(m) = 3/4
(-8,-5)...x = -8 and y = -5
sub and find b, the y int
-5 = 3/4(-8) + b
-5 = - 6 + b
-5 + 6 = b
1 = b
so ur equation is : y = 3/4x + 1
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