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alexdok [17]
3 years ago
9

Find the equation of a line that passes through the points (1,2) and (5,6). Leave your answer in the form y=mx+c

Mathematics
1 answer:
Ainat [17]3 years ago
5 0

Answer:

y=x+1

Step-by-step explanation:

first find the slope using the two coordinates:

use the slope formula- m=y^2-y^1/x^2-x^1

6-2/5-1

=4/4

=1

y=mx+b

now plug in one of the coordinates, and the slope we just found into the slope intercept formula

2=1(1)+b

2=1+b

subtract 1 from both sides

1=b

1=b; m=1,

y=x+1

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Look at the picture
valentina_108 [34]

9514 1404 393

Answer:

  A

Step-by-step explanation:

When angles are between the parallel lines, they are called <em>interior</em>. If they are both on the same side of the transversal, they are "same-side interior."

If angles are on opposite sides of the transversal, they are <em>exterior</em>.

If angles are in the same direction from the intersection point, they are <em>corresponding</em>.

Angles in opposite directions from the point of intersection are <em>vertical</em> angles.

  same-side interior: {3, 5} and {4, 6}. (supplementary)

  same-side exterior: {1, 7} and {2, 8}. (supplementary)

  alternate interior: {3, 6} and {4, 5}. (congruent)

  alternate exterior: {1, 8} and {2, 7}. (congruent)

  corresponding: {1, 5}, {2, 6}, {3, 7}, {4, 8}. (congruent)

  vertical: {1, 4}, {2, 3}, {5, 8}, {6, 7}. (congruent)

Angles 6 and 4 are same-side interior angles; their sum is 180°.

6 0
2 years ago
Verify the identity. Justify each step.
pishuonlain [190]
From the trigonometry:

tan θ = (sin θ) / (cos θ)
cot θ = (cos θ) / (sin θ)

∴ tan θ + cot θ = (sin θ) / (cos θ)  +  (cos θ) / (sin θ)
  = [ sin² θ + cos² θ]/( sin θ cos θ) = 1 /( sin θ cos θ )


note :   sin² θ + cos² θ = 1

6 0
2 years ago
Determine if line AB and CD are congruent or not congruent given the coordinates A(0, 13), B(7, 11), C(12, 10), and D(10, 3). Ex
drek231 [11]

Answer:

No

Step-by-step explanation:

The lines arent equal

5 0
3 years ago
Clothing donations are collected to help a family in need. The function g(x) represents the number of items collected where x is
ser-zykov [4K]

Answer:

No   g(x) = x/6     for (60, 10) to be a possible solution

by this function 60 people would have to donate 1/6th of a garment each to achieve 10 full garments

Step-by-step explanation:

g(x)   number of items

   x   number of people  

the data point (60, 10) make sense as a possilbe solution     NO

g(x) = number of items       x = 60   g(x) = 10

g(60) = x/6 = 10              

         = 60/10            

by this function 60 people would have to donate 1/6th of a garment each to achieve 10 full garments

4 0
2 years ago
Find x .<br><br> a.21.4 <br> b. 15.1 <br> c. 32.7 <br> d. 29.2
Alex73 [517]

So this is going to be using proportions, which in this case is going to be \frac{18}{21} =\frac{25}{x}


Firstly, cross-multiply to get 18x=525


Next, just divide 18 on both sides, and your answer will be x=29.2 , or the last option.

8 0
3 years ago
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