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poizon [28]
2 years ago
7

What is the distance between the points (-1,2) and (2,3).

Mathematics
1 answer:
ivolga24 [154]2 years ago
7 0

9514 1404 393

Answer:

  3.16 ≈ 3.2

Step-by-step explanation:

Put the numbers in the distance formula and do the arithmetic.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((2-(-1))² +(3-2)²) = √(3² +1²) = √10

  d ≈ 3.16 ≈ 3.2

The distance rounded to hundredths is 3.16. Rounded to tenths, it is 3.2.

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The equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1

<h3>Equation of a line</h3>

A line is the shortest distance between two points. The equation of a line in point-slope form and perpendicular to a line is given as;

y - y1 = -1/m(x-x1)

where

m is the slope

(x1, y1) is the intercept

Given the following

Point = (4, -1)

Line: 2x-y - 7 = 0


Determine the slope

-y = -2x + 7

y= 2x - 7

Slope = 2

Substitute

y+1 = -1/2(x -4)

Write in slope-intercept form

2(y + 1) = -(x - 4)

2y+2 = -x + 4

2y = -x + 2

y = -1/2 + 1

Hence the equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1

Learn more on equation of a line here: brainly.com/question/13763238

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4 0
2 years ago
72 apartments on 12 floors = apartments on 6 floors
Andreyy89

Step-by-step explanation:

36 apartamentos en total

8 0
3 years ago
What is the common ratio between successive terms in the sequence? 27,9,3,1, 1/3, ,1/9, 1/27
tigry1 [53]

Answer:

1/3

Step-by-step explanation:

Take the second term and divide by the first

9/27 = 1/3

Take the third term and divide by the second

3/9 = 1/3

Check each subsequent ratio, we can see the common ratio is 1/3

4 0
3 years ago
A chef uses 4.5 cups of tomatoes to make each batch of pasta sauce. If t represents the number of cups of sauce, which equation
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Answer: t=4.5x

Step-by-step explanation:

t=cups of tomatoes

x=batch(es) of pasta sauce

Example:

The chef wants to know how many tomatoes he needs to make 2 batches of pasta sauce.

x=2

So 4.5x2=9

Answer for the example is 9

6 0
3 years ago
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Explain why a quadratic equation with a positive discriminant has two real solutions, a quadratic equation with a negative discr
Bad White [126]

Answer:

A quadratic equation can be written as:

a*x^2 + b*x + c = 0.

where a, b and c are real numbers.

The solutions of this equation can be found by the equation:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

Where the determinant is D = b^2 - 4*a*c.

Now, if D>0

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then the solutions are:

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Where each sign of R is a different solution for the equation.

If D< 0, we have the square root of a negative number, then we have a complex component:

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We have two complex solutions.

If D = 0

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then:

x = \frac{-b +- 0}{2*a} = \frac{-b}{2a}

We have only one real solution (or two equal solutions, depending on how you see it)

3 0
3 years ago
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