Mathematics, 03.04.2020 02:20 emmanolan112

find the distance between points (-6, 5) and (-1, -7).

Answers: 1

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The nearest distance between the two points (-6,5) and (-1,-7) is 13 units, which obtained by graphical and formula method.

Step-by-step explanation:

The given is,

Two points are (-6,5) and (-1.-7)

Step:1

By graphical method,

Locate the points (-6,5) and (-1,-7) in the graph.

First point (-6,5)

The values x=-6 and y=5 noted in the graph

Second point (-1, -7)

The values x=-1 and y=-7 noted in the graph

Now join the two points, measure the distance between two points,

Distance between two points are 13 units, some times it becomes 12,99 or 13.1 we need to convert the answer in nearest whole number.

( OR )

Step:1

By formula method,

Distance = $\sqrt{(x_{2}-x_{1} ) ^{2} +(y_{2}-y_{1} ) ^{2} }$

Where,

(-6, 5) are ( $x_{1} ,y_{1}$ )

(-1,-7) are ( $x_{2} ,y_{2}$ )

From equation,

= $\sqrt{(-1+6 ) ^{2} +(-7-5 ) ^{2} }$

= $\sqrt{(5 ) ^{2} +(-12 ) ^{2} }$

= $\sqrt{25+144}$

= $\sqrt{169}$

Distance = 13

Result:

The nearest distance between the two points (-6,5) and (-1,-7) is 13 units, which obtained by graphical and formula method.

Answer from: Quest

For range i think it’s area

Answer from: Quest

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to $\frac{1}{60} hr\\$

then mult. both sides by 75 we get the ratio

75 mi. to $\frac{75}{60} hr\\$

simplifying we get

75 mi. to $\frac{5}{4} hr$

or 1.25 hr.

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