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3 years ago

Finding Distance in the Coordinate Plane

Mathematics

1 answer:

GuDViN [60]3 years ago

5 0

The distance between the two points (-1, 4) and (5, 4) is 6 units.

Step-by-step explanation:

The given Coordinate points are (-1, 4) and (5, 4).

The points are considered as (x1,y1) and (x2,y2).

Here,

x1 = -1 and x2 = 5

y1 = 4 and y2 = 4

The distance formula is given by :

Distance = $\sqrt{(x2-x1)^2+(y2-y1)^2}$

To find the distance between these two points :

The distance formula is used,

Distance = $\sqrt{(5+1)^2+(4-4)^2}$

⇒ √(6)²

⇒ √36

⇒ 6

Therefore, the between the points is 6 units.

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A sample of blood pressure measurements is taken for a group of adults, and those values (mm Hg) are listed below. The values

nika2105 [10]

Answer:

For systolic pressure data:

$\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085$

For diastolic pressure data:

$\bar X =73.5\\\\S=12.54\\\\CV=\frac{73.5}{12.54}=0.17061$

Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.

Step-by-step explanation:

The coefficient of variation is defined as the percentage relative variation of a set of data with respect to its average. And it is calculated like this:

$CV=\frac{\bar X}{S}$

$S =\sqrt{\frac{1}{n-1} \sum_{i=1}^n (x_i-\bar{x})^2$

$\bar X={\frac{1}{n} \sum_{i=1}^n x_i$

For systolic pressure data:

$\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085$

For diastolic pressure data:

$\bar X =73.5\\\\S=12.54\\\\CV=\frac{12.54}{73.5}=0.17061$

It is observed that the systolic pressure shows greater standard deviation but less coefficient of variation. This is due to the greater magnitude of its measurement scale.

Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.

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3 years ago

What is the value of x? Enter your answer in the box. x =

balu736 [363]

Answer:

x=3

Step-by-step explanation:

BC=6

cos(60)=×÷6

×=3

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3 years ago

Read the following conjecture.

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The answer to your question is C

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3 years ago

Read 2 more answers

Brianna and let kelci are raising money for a class field trip. Brianna has raised 3 times more money than kelci, but together t

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Let $x be the amount of money which Kelci has raised. Brianna has raised 3 times more money than kelci, then she has raised $3x. Totally both have aised $(x+3x)=$4x.

Since together they have raised more than $300, then 4x>300,

$x\ \textgreater \ \dfrac{300}{4}$ .
Answer: the inequality $x\ \textgreater \ \dfrac{300}{4}$ can be used to determine the amount of money kelci has raised

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3 years ago

Which statement correctly describes the end behavior of y = 3x8 + 5x2 +2x - 1

zmey [24]

Answer:

C) The graph rises to the left and rises to the right.

Step-by-step explanation:

The highest expone tis even and it's coefficient is positive

therefor

The graph rises to the left and rises to the right.

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2 years ago