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dmitriy555 [2]
3 years ago
6

Find the inverse function for y=3/4+x

Mathematics
1 answer:
Sonja [21]3 years ago
8 0

The inverse of this function is y = x - \frac{3}{4}


You can find the inverse of any function by switching the x and y values and then solving for the new y value. Once you've done that, what will be left over is the inverse function.


y = \frac{3}{4} + x ----> Swap x and y

x = \frac{3}{4} + x -----> Subtract 3/4 from both sides.

x - \frac{3}{4} = y ----> rearrange to appropriate order

y = x - \frac{3}{4}


And that is your inverse function.

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Answer:

\boxed {\boxed {\sf d= \sqrt{34}}}

Step-by-step explanation:

We want to find the distance between two points, so the following formula is used.

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

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.

We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:

  • x₁= -2
  • y₁= -1
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Substitute the values into the formula.

d= \sqrt {(-2-3)^2+(2--1)^2

Solve the parentheses.

  • -2 -3 = -5
  • 2--1 = 2+ 1 = 3

d= \sqrt{(-5)^2+(3)^2

Solve the exponents.

  • (-5)²= -5*-5= 25
  • (3)²= 3*3=9

d= \sqrt{25+9}

Add.

d= \sqrt{34}

This radical cannot be simplified, so the distance between the two points is <u>√34</u> and <u>choice 3 </u> is correct.

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Answer:

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Step-by-step explanation:

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We have the equation of a line in the standard form

Ax+By=C

Convert to the slope-intercept form:

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Answer:

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The formula to find the area of a triangle is:

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where b = base, h = height, and a = area.

They are similar because in both of the formulas, you are multiplying the base by the height. The difference is that in the triangle formula, you have to do an additional step of multiplying by (1/2) to get the area. hope this helps:)

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