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kifflom [539]
3 years ago
7

The coordinates of the vertices of a quadrilateral are R(-1,3), S(3,3), T(5,-1), and U(-2,-1). Find the perimeter of the quadril

ateral. Round to the nearest tenth.
Mathematics
1 answer:
juin [17]3 years ago
6 0
The distance between 2 points P(a,b) and Q(c,d) is given by the formula:

|PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2} }

thus, the lengths of the sides of the quadrilateral can be calculated using the distance formula:

|RS|= \sqrt{ (-1-3)^{2} + (3-3)^{2}}=\sqrt{ 16 + 0}=4   units


|ST|= \sqrt{ (3-5)^{2} + (3-(-1))^{2} }=\sqrt{ 4+16}=4.47   units


|TU|= \sqrt{ (5-(-2))^{2} + (-1-(-1))^{2} }=\sqrt{ 49 + 0}=7    units


|RU|= \sqrt{ (-1-(-2))^{2} + (3-(-1))^{2} }=\sqrt{ (1)^{2} + (4)^{2} }=4.12   units

The perimeter of RSTU is 4+4.47+7+4.12=19.6


Answer: 19.6 units
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s=13

Step-by-step explanation:

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In this scatterplot the individuals are states. The variable "cig" is the number of cigarettes sold per person in the state in 1
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Answer:

e= -5.41

Step-by-step explanation:

Hello!

In linear regression, a residual value is a distance between the observed values and the regression line.

The residual value (e) is calculated as the difference between the observed value (Y) and the predicted value (^Y).

e= Y - ^Y

e= 15.92 - 21.33 = -5.41

I hope it helps!

5 0
3 years ago
Please try this, it's a basic proof that I don't know how to do. Thanks!
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a square has all equal sides, and also all right angles, so all angles in a square are 90°.  Let's say the sides are "x" long.

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let's keep in mind that, "x" is opposite side of that angle θ, and then x√2 will be the adjacent side of it.

and we can use those two to get the tangent and then the inverse tangent to get the value, as you see it in the picture.

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7 0
3 years ago
Solve the compound inequality 6b < 42 or 4b + 12 > 8.
sukhopar [10]

Step-by-step explanation:

6b < 42 or 4b + 12 > 8

6b < 42

= 6b/6 < 42/6

= b < 7

4b + 12 > 8

=4b - 12 + 12 < -12+8

= 4b > - 12 + 8

= 4b > -4

= 4b/4 = -4/4

b > -1

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7 > b > -1

7 0
3 years ago
Taylor took 6 hours to drive home from college for Thanksgiving break, a total distance of 290 miles.
vredina [299]

Answer: at 50 mph, she drove for 4 hours.

at 45 mph, she drove for 2 hours.

Step-by-step explanation:

Let t represent the time that she spent driving at 50 miles per hour.

Taylor took 6 hours to drive home from college for Thanksgiving break. This means that the time that she spent driving at 45 miles per hour is (6 - t) hours.

Distance = speed × time

Distance covered while driving 50 miles per hour is

50t

Distance covered while driving 45 miles per hour is

45(6 - t)

Since the total distance that she drove is 290 miles, it means that

50t + 45(6 - t) = 290

50t + 270 - 45t = 290

50t - 45t = 290 - 270

5t = 20

t = 20/5 = 4

At 45 miles per hour, she drove at

6 - 4 = 2 hours

7 0
3 years ago
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