What is the equation of the line represented by the table below?
Х
-2
-1
0
1
2
y
16
11
6
1
-4
O A. y = -5x+9
B. y = -3x - 5
O C. y = -5x + 3
D. y = -5x + 6

Answer:

The correct option is;

c. Plot a point not on the original line segment

Step-by-step explanation:

The steps to copy a line segment are;

1) Plot a point that will be an endpoint of the new line segment

2) With the compass pin at the beginning of the original line segment, open the compass width to the end of the original line segment

3) With the adjusted compass width from the above step place the compass pin at the plotted point of the new line segment and draw an arc in the region the new line segment is to be located

4) Select a point on the arc where the other end of the new line will be

5) From the selected point from the above step, draw a line to the point plotted as the beginning of the new line segment

6) The length of the line drawn above is the same as the length of the original line segment.

Answer:

5

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between  − 1  and  0  is 1

1 |-5|

Multiply  | − 5 |  by 1

The absolute value is the distance between a number and zero. The distance between  − 5  and  0 is  5

Hope this can help

Answer:

The minimum score necessary to be in the top 10% of the distribution is 628.

Step-by-step explanation:

Given that a normal distribution has a mean of μ = 500 and a standard deviation = σ= 100

The Significance level  for this test = 10 % = 0.1

For one tailed test ∝= 0.1 the value of Z∝= ±1.28

Since it a normal distribution the test statistic used is

Z= X= u / σ/√n   ( taking n= 1)

1.28 = X- 500/100/√1

128 + 500 = X

or X = 628

The minimum score necessary to be in the top 10% of the distribution is 628.

[tex]2\sqrt{28}-3\sqrt{63}=2\sqrt{4\cdot7}-3\sqrt{9\cdot7}=4\sqrt7-9\sqrt7=-5\sqrt7[/tex]

Answer:

Step-by-step explanation:

[tex]\left|2x-11\right|<3\\\mathrm{Apply\:absolute\:rule}:\quad \\\mathrm{If}\:|u|\:<\:a,\:a>0\:\mathrm{then}\:-a\:<\:u\:<\:a\\\\-3<2x-11<3\\\\2x-11>-3\quad \mathrm{and}\quad \:2x-11<3\\\\2x-11>-3\quad :\quad x>4\\\\2x-11<3\quad :\quad x<7\\\\x>4\quad \mathrm{and}\quad \:x<7\\\\4<x<7[/tex]

Answer:

y=(3/4)x+2

Step-by-step explanation:

write the equation in slope-intercept form: y=(3/4)x - 3

since it is parallel the slope is the same so we have y=(3/4)x + b

then plug in the point (-1) = (3/4)(-4) + b

-1 = -3 +b, b=2

y= (3/4)x + 2

Answer:

y- intercept = - 39

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 12x + 2 ← is in slope- intercept form

with slope m = 12

Parallel lines have equal slopes, thus

y = mx + c ← is the partial equation

To find c substitute (4, 9) into the partial equation

9 = 48 + c ⇒ c = 9 - 48 = - 39 ← y- intercept

Answer:

y-intercept = -39

Step-by-step explanation:

if two lines are parallel it means they have the same gradient so we compare the equation given to the default equation of a line

y=mx+c

y=12x+2

comparing we have the gradient m=12 now finding the equation of the line parallel to the given line we use

y-y1=m(x-x1)

y1=9 and x1=4

y-9=12(x-4)

y-9=12x-48

y=2x-48+9

y=2x-39

comparing to the default equation of a line y=mx+c where c is the y-intercept

therefore the y-intercept is -39

Answer:

Answer:

Step-by-step explanation:

the answer is option D

WHEN YOU SUBSTITUTE THE VALUES YOU WILL GET IT............

Answer:

y = -1/4x - 10

Step-by-step explanation:

Hey there!

Well to the slopes of 2 perpendicular lines are reciprocals of each other meaning if the line has a slope of 4 then it’s perpendicular line has a slope of -1/4.

Now to find the y intercept we need to graph,

y = -1/4x and point (4, -11)

Look at the image below.

By looking at the image below we can tell that in order for the perpendicular line to go through point (4,-11) it would be -10.

The equation is y = -1/4x - 10

Hope this helps :)

Answer:

1) x²+4x=2700

2) 50x50

Step-by-step explanation:

Pony area = x²

line-up area=4x

x²+4x=2700

x²+4x-2700=0

(x-50)(x+54)

So x= 50 or -54.  Since it can’t be a negative number, it must be 50.

CHECK:

Square = 50x50 = 2500

Line up area = 50x4 = 200

2500+200=2700 YES

Answer:

x=4

Step-by-step explanation:

(x-1+5)×5=(2+x+4)×4

or, 5×(x+4)=4×(x+6)

or, 5x+20=4x+24

or, 5x-4x=24-20

or, x=4

Answer:

Everything that I get make me happy in my life such loving families who support me is the best my friends who help me in any situation. And most important is teacher who teach me and is helping me to become a successful person.

Answer:

4

Step-by-step explanation:

Given that :

Clients are interviewed in groups of 2 on the first day; meaning two persons at a time

Second day, clients are interviewed in groups of 4; meaning 4 persons at a time.

Therefore, if the same number of clients are to be interviewed on each day, the smallest number of clients that could be interviewed each day could be obtained by getting the Least Common Multiple of both numbers: 2 and 4

- - - - 2 - - - 4

2 - - - 1 - - - 2

2 - - - 1 - - - 1

Therefore, the Least common multiple is (2 * 2) = 4

Therefore, the smallest number of clients that could be interviewed each day is 4.

Answer:

Given:

i) Since DN and BC are transversals, we have:

As two angles and one side is congruent, the triangles are also congruent:

So their areas are same.

ii)

The quadrilateral has area of:

And the triangle has area of:

Since the areas of triangles DCM and NBM are same, the quadrilateral ADCB has same area as triangle ADN.

Answer:

I think I have proved it before you asked this question before also.

Step-by-step explanation:

SEE the image for solution.

HOPE it helps

Have a great day

Answer:

$54

Step-by-step explanation:

you just multiply 1 by 2 and get the answer 2 then multiply 27 dollars by 2 and get 54 dollars

Answer:

A & C

Step-by-step explanation:

-9 is a whole number is rational

Hello, please consider the following.

[tex]x^2 + 10x + 25 = 8\\\\\text{\bf We can notice that } x^2+10x+25=(x+5)^2 \text{ so}\\\\x^2 + 10x + 25 = (x+5)^2=8\\\\\text{\bf We take the root.}\\\\x+5=\pm\sqrt{8}\\\\\text{\bf We subtract 5}\\\\\boxed{x=-5-\sqrt{8}} \ \ or \ \ x=-5+\sqrt{8}[/tex]

In the box, you can find the smallest solution.

Thank you.

Answer:

centre = (1, 3 ) , radius = 2

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 1)² + (y - 3)² = 4 ← is in standard form

with centre = (1, 3 ) and r = [tex]\sqrt{4}[/tex] = 2

Answer:

[tex]\dfrac{7}{10}[/tex]

Step-by-step explanation:

Given that

Number of batteries that do not have a charge = 14

Total number of batteries = 20

To find:

Experimental probability that the next battery checked does not have a charge = ?

Solution:

First of all, let us learn about the definition of experimental probability.

Probability is the chances of happening of an event.

Formula for probability of happening of an event E is given as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here we have to find the probability of checking a battery that has no charge.

So, number of favorable cases = Number of batteries that do not have a charge = 14

AND

Total Number of cases = Total number of batteries to be checked = 20

So, the required probability is:

[tex]\dfrac{14}{20} = \bold{\dfrac{7}{10}}[/tex]

Answer:

You ordered 5 tickets for a show on line...

The cost was $5 a ticket Plus a one time ordering fee of $15.

you total cost was $45 ....

Solving for x will determine the cost of one ticket

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

a taxi charges $5 a mile plus $15 "pull fee" ...

you ride cost a total of $45 ... x is the number of miles that you got driven

Step-by-step explanation:

You rent a car for a down payment of $15 and $5 is charged per mile driven. The total charge is therefore, $45. In essence, x is the no. of miles driven.

According to the question;

In essence, x is the no. of miles driven in this scenario.

By solving for x in 5x + 15 = 45, we may determine the no. of miles driven.

Read more:

https://brainly.com/question/2319353

9514 1404 393

Answer:

  x +3y = -3

Step-by-step explanation:

The midpoint of the segment with the given end points is ...

  M = ((4, 1) +(2, -5))/2 = (6, -4)/2 = (3, -2)

The difference between coordinates of the given points is ...

  (∆x, ∆y) = (4, 1) -(2, -5) = (2, 6)

__

The equation of the perpendicular bisector can be written as ...

  ∆x(x -h) +∆y(y -k) = 0 . . . . line through (h, k) ⊥ to one with slope ∆y/∆x

  2(x -3) +6(y -(-2)) = 0

  2x +6y +6 = 0 . . . . . simplify to a general-form equation

To put this in standard form, we need the constant on the right, and all numbers mutually prime. We can subtract 6 and divide by 2 to get there.

  2x +6y = -6

  x + 3y = -3

Answer:

1.5 because it is the average of the two middle numbers in this scenario.

The median of the data is 1.5 if the data set represents the total number of tickets each person purchased for a play option, second is correct.

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have data:

0, 0, 1, 1, 1, 2, 2, 2, 4, 4

There are two mid-values in the middle that is 1 and 2

The mean of these two values will be median:

[tex]\rm Median = \dfrac{1+2}{2}[/tex]

Median = 1.5

Thus, the median of the data is 1.5 if the data set represents the total number of tickets each person purchased for a play option second is correct.

Learn more about the median here:

brainly.com/question/21396105

#SPJ2

Answer:

The answer is 17.

Step-by-step explanation:

200/3 is approximately 67, and divided by 4 again to represent the second checkpoint will become 16.75. Obviously there can't be a fraction of a bag, so the answer is 17.

Answer:

16

Step-by-step explanation:

the lcm for 3 and 4 is 12

200 ÷ 12 = 16.667

≈16

Answer:

2A /b = h

Step-by-step explanation:

A = 1/2 bh

Multiply each side by 2

2A = 2*1/2 bh

2A = bh

Divide each side by b

2A/b = bh/b

2A /b = h

Complete question :

Zen is participating in an all-day hike to the Grandfather Mountain Summit on the Blue Ridge Parkway.

Starting at elevation zero, Zen climbs to an elevation of 4,646.4 feet to reach the Cragway Trail. From there, he hikes up another 1,817.6 feet to the Calloway Peak Summit, the highest point on Grandfather Mountain. Based on these numbers, the Calloway Peak Summit is at a height of _____ feet.

On his return trip, Zen descends from the Calloway Peak Summit to an elevation of 2,402.5 feet, arriving at the Flat Rock Junction. So, the elevation at Flat Rock is ______ feet.

Answer:

6,464 Feets; 4,061.5 Feets

Step-by-step explanation:

Given the following:

Starting elevation = 0

Elevation of the Cragway Trail = 4,646.4 feets

Elevation of Cragway Trail to Calloway peak summit = 1,817.6

From Calloway peak summit, Zen descends to an elevation of 2,402.5 Feets (flat Rock junction)

The Calloway Peak Summit is at a height of _____ feet.

Height of Calloway Peak Summit:

(Starting elevation to Cragway trail) + (Cragway trail elevation to Calloway peak Summit)

4,646.4 Feets + 1,817.6 Feets = 6,464 Feets

B) Elevation at Flat Rock Junction:

Height of Calloway peak summit - 2,402.5

(6464 - 2402.5) Feets = 4,061.5 Feets

Answer:

   your choice is correct

Step-by-step explanation:

The magnitude of the difference between the target amount and the actual amount will be no greater than the allowed error.

  |x -34| ≤ 0.25

Step-by-step explanation:

(-2*4)2+(4×3--2×2)

(-8)2+(12--4)

-16+16

=0

hope this helps

Answer:

124

Step-by-step explanation:

(ab)^2 + (b^3 - a^2)

Let a = -2  and b = 4

(-2 *4)^2 + (4^3 - (-2)^2)

Parentheses first

(-8)^2 + (4^3 - (-2)^2)

Then the exponents in the parentheses

(-8)^2 + (64 - 4)

Subtract in the parentheses

(-8)^2 + (60)

Exponents

64 + 60

124

Answer:

Step-by-step explanation:

This is a linear function because for every 5 seconds that pass, the height of the plane drops 500 feet, or -500 to be exact. So that's the slope of the line. If we look at the table we can determine where the graph goes through the h axis. The h axis is the y axis, and the t axis is the x axis. So where the graph goes through the h axis is also the y-intercept. If your teacher is any good at all, he/she would make sure that you understand beyond a shadow of a doubt that the y-intercept exists where x = 0. Looking at the table, where x (t) is 0, y (h) is 4000 feet.

Writing the linear equation then is super easy. In the form y = mx + b, we already know both the slope (-100) and the y-intercept (4000), so we fill in accordingly:

h = -100t + 4000 which appears to be choice a.

Answer:

a

Step-by-step explanation:

i took the quiz and got it right :)

Answer:

0.375

Step-by-step explanation:

3/8=0.375, use a calculator for this or long division