Write the equation of the line that passes through the points (

Name a point that is the square root of 2 away from(-1,5)

DerKrebs [107]

Answer:

Any point on the circle (x + 1)² + (y - 5)² = 2 with center (-1 , 5) and radius √2

Step-by-step explanation:

circle: (x + 1)² + (y - 5)² = 2

3 0

3 years ago

Calculate the mean, median, mode, range, and 5 Number Summary of the following data set: 5,6,8,4,7,5,4,2,5,6,5,2,1,4

Artist 52 [7]

Answer:

mean = 4.57, median = 5 , mode = 5, range =7 ,

five number summary: Minimum value= 1 , First Quartile = 4, Median = 5

Third Quartile = 6, Maximum value = 8

Step-by-step explanation:

First arrange the data in ascending order.

1,2,2,4,4,4,5,5,5,5,6,6,7,8

Mean = sum of all numbers / total numbers

= 1+2+2+4+4+4+5+5+5+5+6+6+7+8 / 14

= 64 / 14

= 4.57

Median:

Since the given data is even number so, we can find median by taking mean of 2 middle numbers.

so the middle numbers are 7th and 8th data i.e, 5 and 5

Median =(5+5)/2

= 5

Mode:

The most repetitive number in the data set is mode

So Mode = 5

Range:

Range can be found by subtracting smallest number from largest number in the data set.

Smallest number = 1, Largest number = 8

Range= Largest number - Smallest number

= 8-1 = 7

Five no Summary

Minimum value= 1

First Quartile ( 25 % mark )= 4

Median = 5

Third Quartile (75 % mark) = 6

Maximum value = 8

First quartile can be found by : consider the data on left of the median and find median among them

Third quartile can be found by: consider the data on right of the median and find median among them

7 0

4 years ago

Which relation IS a function? A.{(3, -2), (5, 1), (1, -1), (4, 4), (5, 4)} B.{(2, 3), (2, 2), (3, 4), (4, 3), (5, 0)} C.{(1, 5),

DIA [1.3K]

Answer:

Step-by-step explanation:

the answer is D because in D none of the x's repeat

4 0

3 years ago

Is the value of the 1 in 1,440,000 10 times as great as the value of the 4 in the hundred thousands place ? Explain

Burka [1]

I do not think so, because it has to be the same number.
Ex: 5,539 - in this the 5 in the thousands place is greater than the 5 in the hundreds place

7 0

3 years ago

The sum of the angles in a hexagon is 720°.

qwelly [4]

Given:

The sum of the angles in a hexagon is 720°.

$m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.$

To find:

(a) Equation to solve the value of x.

(b) The value of x.

(c) The measure of angle C.

Solution:

(a)

We have,

$m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.$

The sum of the angles in a hexagon is 720°.

$m\angle A+m\angle B+m\angle C+m\angle D+m\angle E+m\angle F =270^\circ$

$90^\circ+126.87^\circ+(3x)^\circ+90^\circ+143.13^\circ+143.13^\circ =270^\circ$

$90+126.87+(3x)+90+143.13+143.13 =720$

Therefore, the required equation is $90+126.87+(3x)+90+143.13+143.13 =720$ .

(b)

On solving the above equation, we get

$593.13+3x =720$

$3x =720-593.13$

$3x =126.87$

Divide both sides by 3.

$x =\dfrac{126.87}{3}$

$x =42.29$

Therefore, the value of x is 42.29.

(c)

We need to find the measure of angle C.

$m\angle C=(3x)^\circ$

$m\angle C=(3\times 42.29)^\circ$

$m\angle C=126.87^\circ$

Therefore, the measure of angle C is 126.87 degrees.

7 0

3 years ago

Write the equation of the line that passes through the points ( – 3, 2) and ( - 1,6).