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2 years ago

Find the distance between (0, -8) and (3, -2). Round to the nearest tenth.

Mathematics

1 answer:

fomenos2 years ago

5 0

The distance between (0, -8) and (3, -2) is 10 units

· The distance between two points in an XY plane is calculated using the distance formula, which is used in coordinate geometry or Euclidean geometry. The x-coordinate, also known as the abscissa, is a point's separation from the y-axis. The y-coordinate, often known as the ordinate, refers to a point's separation from the x-axis.

A point on the x-axis has coordinates of the form (x, 0), and a point on the y-axis has coordinates of the form (0, y). We utilize the Pythagoras theorem in this case to determine the separation between any two points in a plane.

As we know distance of two coordinates can be measured by distance formula = √ (x₂ - x₁ )² + (y₂ -y₁)²

Here,

x₁ = 0 , y₁ = -8

x₂ = 3, y₂ = -2

Distance between these two coordinates = √ (x₂ - x₁ )² + (y₂ -y₁)²

Substituting the values in the formula,

=√ 3² + 6²

= √ 9+ 36

= √45

= 3√5

= 6.69

≈ 10 units

To learn more about distance formula, refer to brainly.com/question/661229

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50 POINTS!! HELP!

Minchanka [31]

i dont have time to do all of it (sorry)

but this is how you do the point and slope questions:

use the equation: y-y1 = m(x - x1)

y1 is the y point you are given

x1 is the x point you are given

m is your slope

substitute all of those in from the question

the first one is:

y --4 = -5/6(x-8)

-- turns into a plus so the answer would be

y+4 = -5/6(x-8)

6 0

3 years ago

Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

Harrizon [31]

Answer:

Equation of the line that passes through the given point and is (a) parallel is: $\mathbf{y=-2x+11}$

Equation of the line that passes through the given point and is (b) perpendicular is: $\mathbf{y=\frac{1}{2}x+1}$

Step-by-step explanation:

We need to Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

First we will find slope of the line given in graph

The slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have points (1,6) and (2,2)

Slope is:

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-6}{2-1}\\Slope=\frac{-4}{2}\\Slope=-2$

Part a)

Write an equation of the line that passes through the given point and is (a) parallel

When the lines are parallel, they have same slope. So, slope of required line: m = -2

Using slope m =-2 and point(4,3) we can find y-intercept b

$y=mx+b\\3=-2(4)+b\\3=-8+b\\b=3+8\\b=11$

The equation of line will be:

$y=mx+b\\y=-2x+11$

Equation of the line that passes through the given point and is (a) parallel is: $\mathbf{y=-2x+11}$

Part b)

Write an equation of the line that passes through the given point and is (b) perpendicular

When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2

Using slope m =1/2 and point(4,3) we can find y-intercept b

$y=mx+b\\3=\frac{1}{2}(4)+b\\3=2+b\\b=3-2\\b=1$

The equation of line will be:

$y=mx+b\\y=\frac{1}{2}x+1$

Equation of the line that passes through the given point and is (b) perpendicular is: $\mathbf{y=\frac{1}{2}x+1}$

6 0

3 years ago

9a - 2 = -2 help please

Svetach [21]

$\text {Hello! Let's Solve this Problem!}$

$\text {\underline {The First Step is to Add 2 to Both Sides}}$

$\text {-2+2=0 (this crosses out)}\\\text {-2+2=0}$

$\text {\underline {The Final Step is to Divide Both Sides by 9}}$

$\text {9a/9=0 (this crosses out. Leaving a by itself)}\\\text {0/9=}$

$\text {Your Answer Would Be:}$

$\huge\boxed {a=0}$

$\text {Best of Luck!}$

3 0

3 years ago

Read 2 more answers

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vladimir1956 [14]

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If you take the Wells and subtract it by Castles, you will get the Paths.

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3 years ago

Natalie has to list numbers that are greater than 1. Which of these expressions represent numbers greater than 1?

pickupchik [31]

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Hope this helps :D

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3 years ago