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dalvyx [7]
3 years ago
10

Write an equation of the line containing (-2,5) and (3,5)?

Mathematics
2 answers:
Shtirlitz [24]3 years ago
7 0

Answer:

y = 5

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (3, 5)

m = \frac{5-5}{3+2} = \frac{0}{5} = 0

This indicates the line is horizontal and parallel to the x0 axis.

The equation of a horizontal line is

y = c

where c is the value of the y- coordinate the line passes through

The line passes through (- 2, 5) and (3, 5) both y- coordinates of 5, thus

y = 5 ← equation of horizontal line

zlopas [31]3 years ago
4 0

Answer:

y = 5

Step-by-step explanation:

formula for finding the equation of a line is y = mx + c

where m is the gradient of the line, c is where the line cuts the y-axis.

x and y are points on the line

step1 : Find the gradient of the line

m = (y2 -y1)/(x2-x1)

m= (5 - 5)/(3 - (-2)) = 0/5 = 0

put m into the equation which now becomes

y = 0x + c

pick any of the two points and plug the values inside the new equation (y = 0x + c) to find c

now using the point (3, 5)

5 = 0(3) + c

5 = 0 + c

therefore c = 5

our final equation will be y = 5

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Answer:

(a)  |0 - 8| = 8

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Step-by-step explanation:

Given

Attached number lines

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Remove absolute bracket

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So: the expression is;

|0 - 8| = 8

Solving (b):

Let:

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d = |-4-6|

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3 years ago
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yKpoI14uk [10]

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Answer:

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Step-by-step explanation:

This problem can be solved by simply using the pythagorean theorem, as you stated at the beginning of the problem, which is: a^{2} +b^{2} =c^{2}

You are given the <em>a</em> side and <em>b</em> side that are needed for this equation, so it's all a matter of plugging in the information you have:

110^{2} +90^{2} =c^{2}

110^{2} =12100

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12100+8100=c^{2}

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7 0
3 years ago
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Step-by-step explanation:

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What is a positive angle less than 360 degrees that is conterminal with 540 degrees
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Answer:

Please check the explanation.

Step-by-step explanation:

As we have to determine a positive angle less than 360 degrees that is conterminal with 540 degrees.

so

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The resulting angle of 180° is positive, less than 360°, and coterminal with 540°.

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