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Natalija [7]
2 years ago
6

Identify the property that justifies the statement: If 4x - 3 = 7, then 4x = 10. -----> Is this substitution property?

Mathematics
2 answers:
Vitek1552 [10]2 years ago
8 0
The equation shown above does not show the substitution property. Instead, it shows the Addition Property of Equation where 3 is added to both of its sides. This is shown below,
                                   4x - 3 = 7
                               4x - 3 + 3 = 7 + 3
                                   4x = 10
Zigmanuir [339]2 years ago
3 0

Answer:

No, it is not substitution property. Addition property of equality justifies the statement.

Step-by-step explanation:

The given statement: If

4x-3=7               .... (1)

them

4x=10             ... (2)

According to the Addition property of equality, if a,b and c are real number, then

a=b\Leftrightarrow a+c=b+c

Using Addition property of equality, add 3 on both sides in equation (1).

4x-3+3=7+3

4x=10

This equation is same as equation (2).

Therefore Addition property of equality justifies the statement.

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Given:

The two points on the graph.

To find:

The distance between the two points in simplest radical form.

Solution:

From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:

d=\sqrt{(-3-(-9))^2+(-2-3)^2}

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d=\sqrt{(6)^2+(-5)^2}

On further simplification, we get

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Therefore, the distance between the given points is \sqrt{61} units.

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2 years ago
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Answer:

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Step-by-step explanation:

Differentiate H = 64t - 16t² to find an equation for velocity:

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