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postnew [5]
3 years ago
7

What is the slope of the line that passes through (2, 12) and (4, 20) ?

Mathematics
2 answers:
Mazyrski [523]3 years ago
5 0

Answer:  4

Step-by-step explanation:

The slope of a line passing through two points (a,b) and (c,d) is given by :-

m=\dfrac{d-b}{c-a}

The given points : (2, 12) and (4, 20)

Then , the slope of a line passing through two points (2, 12) and (4, 20) is given by :-

m=\dfrac{20-12}{4-2}\\\\\Rightarrow\m=4

Hence, the slope of the line through the points  (2, 12) and (4, 20) = 4

loris [4]3 years ago
3 0
20 - 12/ 4 - 2 = 8/2 = 4. slope is 4
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The two congruent angles in an isosceles triangle measure 3X + 10o and 5X - 16o . What value of X makes this relationship true?
aliya0001 [1]
So for this you need to set them equal to each other! 3x+100=5x-160
now you combine like terms and solve!
8 0
3 years ago
Ariyonne claims (3,6) that is the point of intersection of the lines y=4x-2 and y=1/2x+5 Is she correct? How do you know?
yan [13]

Answer:

The point of intersection of the lines is  (2,6).

Thus, Ariyonne's claim is incorrect.

Step-by-step explanation:

Given equations:

1) y=4x-2

2) y=\frac{1}{2}x+5

To find the point of intersection, we need to solve the given system of equations.

In order to solve the system we will use substitution method.

We will substitute value of y from first equation in the second equation and solve for x

So, we have

4x-2=\frac{1}{2}x+5

Multiplying both sides by 2 to remove fraction.

2\times(4x-2)=2\times(\frac{1}{2}x+5)

Using distribution.

8x-4=x+10

Subtracting both sides by x

8x-4-x=x+10-x

7x-4=10

Adding 4 to both sides.

7x-4+4=10+4

7x=14

Dividing both sides by 7.

\frac{7x}{7}=\frac{14}{7}

x=2

We can find value of y by plugging in x=2 in the first equation.

y=4(2)-2

y=8-2

y=6

So, the point of intersection of the lines is  (2,6).

Thus, Ariyonne's claim is incorrect.

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3 years ago
Louis traveled 2,795 on an airplane from
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8 0
3 years ago
Help Please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Kamila [148]

Answer:

x = 80°

Step-by-step explanation:

Angle on a straight line = 180°

(x + 40)° + (x - 20)° = 180°

x + 40° + x - 20° = 180°

2x + 20° = 180°

2x = 180° - 20°

2x = 160°

x = 160°/2

x = 80°

Check:

(x + 40)° + (x - 20)° = 180°

(80° + 40°) + (80° - 20°) = 180°

120° + 60° = 180°

180° = 180°

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3 years ago
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Hatshy [7]

Answer:

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Step-by-step explanation:

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3 years ago
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