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3 years ago

What is the slope of the line that contains the points (-2, 5) and (6, -3)?

Mathematics

1 answer:

Verizon [17]3 years ago

5 0

Answer:

-1

Step-by-step explanation:

(-2 , 5) = (x1 , y1)

(6 , -3) = (x2 , y2)

slope of a line = y2 - y1/x2 - x1

=-3 - 5/6 - (-2)

=-8/6+2

=-8/8

=-1

therefore slope of a line is -1.

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What is the standard deviation of the following data? If necessary, round your answer to two decimal places.

katrin2010 [14]

we are given with the set of data containing the elements listed above and is asked to find out the standard deviation of the data. SD is used to determine the distance between the points to the best fit line gained from the data. The formula to be followed is the square root of the summation of (x-mean) over n-1. sd is equal to <span>5.13.</span>

7 0

3 years ago

Can someone please help

klemol [59]

You just plug in the -2 for x to get the equation -2^2–3•-2+4= 6

4 0

3 years ago

Read 2 more answers

What is the shaded portion of the circle

blagie [28]

Answer:

$(5\pi-11.6)\ ft^{2}$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the sector minus the area of the triangle

step 1

Find the area of the circle

the area of the circle is equal to

$A=\pi r^{2}$

we have

$r=5\ ft$

substitute

$A=\pi (5)^{2}$

$A=25\pi\ ft^{2}$

step 2

Find the area of the sector

we know that

The area of the circle subtends a central angle of 360 degrees

by proportion find out the area of a sector by a central angle of 72 degrees

$\frac{25\pi}{360}=\frac{x}{72}\\ \\x=72*25\pi /360\\ \\x=5\pi\ ft^{2}$

step 3

Find the area of triangle

The area of the triangle is equal to

$A=\frac{1}{2}(2.9+2.9)(4)= 11.6\ ft^{2}$

step 4

Find the area of the shaded region

Subtract the area of the triangle from the area of the sector

$(5\pi-11.6)\ ft^{2}$

8 0

3 years ago

Solve the inequality.<br><br> 2(4x – 3) ≥ –3(3x) + 5x?

slega [8]

2(4x-3) ≥ - 3(3x) + 5x

2* 4x - 2*3 ≥ - 9x + 5x

8 x - 6 ≥ -4x

8 x + 4 x ≥ 6

12 x ≥ 6

x = 6/12 divide 6/6 = 1 and 12 / 6 = 2

x = 1/2

hope this helps!

4 0

3 years ago

The Interest on $2,000 for 2 years is $320 what is the simple interest rate?

Ronch [10]

Answer:

It would be 20

Step-by-step explanation:because you have to divide 320 by 2 which equals $160 for 1 year and then divide that by 2 again would be $80 for 6 months then divide it by 2 again which would be $40 and 3 months for it then divide it by 2 again and 1 and a half months equal $20

6 0

2 years ago