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garri49 [273]
1 year ago
12

Graph the equation on the coordinate plane. y=x-3 Select two points on the line to graph the line.​

Mathematics
1 answer:
yawa3891 [41]1 year ago
3 0

The slope of a line is used to determine its steepness of a line.

What is the standard form of an equation?

One way of expressing linear equations is in their standard form. There are several ways to express a linear equation, including the standard form, the slope-intercept form, and the point-slope form. The general form of a linear equation, commonly referred to as the standard form, is written as Y = MX + C; A linear equation or one-degree equation is one in which the maximum power of the variable is 1. For instance, the equation 4x + y = 6 is linear since the maximum power of both x and y is 1. The equation in its standard form is written as Ax + By = C, where A, B, and C are all integers and x and y are the variables.

The standard formula for finding the equation of a line is expressed as:

y = mx + b

m is the slope

b is the y-intercept

Given the equation:

y = x -3;

The slope of the graph will be 1 with no y-intercept.

The slope of a line is used to determine its steepness of a line.

So, substituting the value of x as 0;

So, The value of y will be -3;

That is: (x,y) = (0,-3);

Now, substituting x =1;

So, The value of y will be: -2;

That is: (x,y) = (1,-2);

Hence,

The slope of a line is used to determine its steepness of a line.

To learn more about the standard formula equation, visit

brainly.com/question/17003809

#SPJ1

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-7-3 log₂ (-n + 10) = -16
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Answer:

2

Step-by-step explanation:

-3 log₂ (-n + 10) = -16+7

-3 log₂ (-n + 10) = -9

log₂ (-n + 10) = -9/-3

log₂ (-n + 10) = 3

-n + 10 = 2^3

-n + 10 = 8

n=2

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What postulate or theorem can be used to prove that these two triangles are congruent?
kati45 [8]

Answer:

AAS postulate can be used to prove that these two triangles are congruent

Step-by-step explanation:

Let us revise the cases of congruence  

  1. SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
  2. SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
  3. ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
  4. AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ
  5. HL ⇒ hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right Δ  

In the given figure

∵ There is a pair of vertically opposite angles

∵ The vertically opposite angles are congruent ⇒ (1)

∵ There are two angles have the same mark

∴ These marked angles are congruent ⇒ (2)

∵ There are two sides have the same mark

∴ These two marked sides are congruent ⇒ (3)

→ From (1), (2), and (3)

∴ The two triangles have 2 angles and 1 side congruent

→ By using case 4 above

∴ The two triangles are congruent by the AAS postulate of congruency.

AAS postulate can be used to prove that these two triangles are congruent

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