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1 year ago

Find the distance between the two points. Write your answer as a

Mathematics

1 answer:

Marianna [84]1 year ago

6 0

The distance between the two points is 22.14 units

<h3>How to determine the distance between the two points?</h3>

The endpoints of the line segment are given as

(4,9) and (11, -12)

This can be rewritten as

(x, y) = (4,9) and (11, -12)

The distance between the endpoints of the segment is then calculated using the following distance formula

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where

(x, y) = (4,9) and (11, -12)

Substitute the known values in the above equation, so, we have the following representation

Distance = √[(4 - 11)² + (9 + 12)²]

Evaluate

Distance = 22.14

Hence, the distance is 22.14 units

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3 years ago

The sides of a triangle are in the ratio 3:4:5. What is the length of each side if the perimeter of the

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Answer:

A. 22.5 cm, 30 cm, and 37.5 cm

Step-by-step explanation:

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3 years ago

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What is the solution to this system of linear equations?

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Answer:

(7,3)

Step-by-step explanation:

you can add the equations together to eliminate y and first solve for x

(x-3y = -2) + (x+3y=16) = (2x = 14)

x = 7

then plug x into one of the equations to solve for y

(7) - 3y = -2

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2 years ago

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LMNP is a parallelogram.

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A rectangle is a parallelogram with four right angles.

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Solution:

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$\overrightarrow{PL}=(-4-(-3),1-(-1))=(-1,2),\\ \overrightarrow{PN}=(3-(-3),2-(-1))=(6,3)$ .

Find the dot product:

$\overrightarrow{PL}\cdot \overrightarrow{PN}=-1\cdot 6+2\cdot 3=-6+6=0$ .

Since the dot product of two vectors is equal to zero, these vectors are perpendicular.

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$m\angle P=m\angle M=90^{\circ},\\ m\angle L=m\angle N=180^{\circ}-90^{\circ}=90^{\circ}$ .

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3 years ago

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