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bekas [8.4K]
3 years ago
10

Find the equation of the line shown

Mathematics
1 answer:
kykrilka [37]3 years ago
6 0

Answer:

The equation of the line is:

y = x + 1

Step-by-step explanation:

The equation of a line has the following format:

y = mx + b

In which m is the slope(suppose we have two points, the slope is the change in y divided by the change in x).

b is the y-intercept(the value of x when y = 0).

In this question:

When x = 0, y = 1, so b = 1

Passes through the points (0,1) and (1,2). So the slope is

m = \frac{2-1}{1-0} = 1

The equation of the line is:

y = x + 1

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Evaluate the quantity 3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two.
chubhunter [2.5K]

The value of the expression given as  [3² * 3⁻⁵]/[5⁻²] is 25/27

<h3>How to evaluate the expression?</h3>

The expression is given as:

3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two

Rewrite properly as:

[3² * 3⁻⁵]/[5⁻²]

Apply the negative exponent law of indices

So, we have

[3² * 3⁻⁵]/[5⁻²] = [5²]/[3⁻² * 3⁵]

Apply the exponent law of indices

[3² * 3⁻⁵]/[5⁻²] = [5²]/[3³]

This gives

[3² * 3⁻⁵]/[5⁻²] = 25/27

Hence, the value of the expression given as  [3² * 3⁻⁵]/[5⁻²] is 25/27

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brainly.com/question/723406

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