Find an equation for the perpendicular bisector of the line segment whose end points are (-9,-8) and (3,-2)

Answers

Answer 1

Answer:

[tex]y=-2x-11[/tex]

Step-by-step explanation:

Slope of the line segment = [(-8)-(-2)]/[(-9)-3]=-6/-12=1/2

Slope of the perpendicular bisector x slope of line segment = -1

Slope of perpendicular bisector = -2

Mid-point of line segment = ((-9+3)/2, (-8+(-2))/2) = (-3, -5)

The perpendicular bisector passes through the mid-point.

By point-slope form,

[tex]\frac{y-(-5)}{x-(-3)} = -2\\y+5=-2x-6\\y=-2x-11[/tex]


Related Questions

3.
4 m
2 m
2 m
A
2 m
2 m
in.
B
3 m
8 m
I want to know the area and how to do it

Answers

Answer: 32 sq m.

Step-by-step explanation: add 2,4,and 2 for length of bottom rectangle(8) then multiply that by 3 for area- 24. top would be multiplying 4 by 2- 8. Add 2 areas together and get 32.

Which point is the reflection of point E across the y-axis what are it’s coordinates ??

Answers

Answer:

Point J is the reflection, and the coordinates are (0,-2)

Step-by-step explanation:

Answer:

The reflection of point E across the y-axis is J(-2, 0).

Step-by-step explanation:

!!edmentum answer!!

Q2.
Sarah wants a music magazine each month for a year. She can
pay £3.50 each month
or
pay £37.20 for the year.
Sarah pays £37.20 for the year. How much cheaper is this than paying £3.50 each month?​

Answers

Maybe 4.80

Step-by-step explanation:

Mrs. Carter puts a variety of wrapped chocolate candies into a bag. There are 5 silver-wrapped candies, 1 purple-wrapped candy, 2 striped candies, and 4 gold-wrapped candies. If 15 students select one candy at a time out of the bag without looking, and replace the candy after each draw, how many students would be expected to select a gold-wrapped candy from the bag?
A. 4 Students
B. 5 Students
C. 15 Students
D. 60 Students

Answers

Answer:

a

Step-by-step explanation:

it won't be 5

nor 60

and it won't be 15

There are 120 people on the bus 50% get off at the first stop 20% get off at the second stop. The rest get off on the third stop. How many people got off the bus at the third stop?

Answers

Answer:

36

Step-by-step explanation:

so 50% of 120 is just half of it. so that would be 60. Then 20% of 120 is 24 so subtract that from 60 and you get 36.

Find the rule and the graph of the function whose graph can be obtained by performing the translation 2 units left and 3
units up on the parent function f(x)=x?

Answers

Answer:

b.

Step-by-step explanation:

1. You have the following parent function given in the problem above:

f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)

2. If you take the parent function and make y=f(x+3), then you have:

(The function is shifted 3 units left on the x-axis).

3. Then you if you make y=f(x+3)-2, as following, you obtain:

 (The function is shifted 2 units down on the y-axis).

4. Therefore, that is how you obtain the final function.

The answer is the graph shown in .b

Answer:

The other guy is wrong. The correct answer is Option C.

Step-by-step explanation:

It is a translation 2 units left, so (x+2)^2 is what you need here. It shifts up 3 units so that adds +3 on the outside. So f(x) = (x+2)^2 +3 or OPTION C

517 37/50 + 312 3/100

Answers

Answer:

Exact form: 32977/100

Decimal form: 829.77

Mixed number form: 829 77/100

Step-by-step explanation:

What is the linear inequality that represents the graph shown?​

Answers

Answer:2/4

Step-by-step explanation:

In ΔVWX, the measure of ∠X=90°, the measure of ∠W=9°, and WX = 8.7 feet. Find the length of XV to the nearest tenth of a foot.

Answer:

y<-1/3x+3

Step-by-step explanation:

The slope of this graph is -1/3 (If I read the graph correctly), from points (-3,4) and (0,3).

The graph is a y-intercept of 3, because it crosses the y-axis at 3, (0,3).

To find whether this statement is true or not, you can plug in a random point from the shaded area and test that point. (I like to use the origin, (0,0))

(0)>-1/3(0)+3     (0)<-1/3(0)+3    

0>0+3               (0)<+3    

0>3                    0<3

The one to the right, 0<3, is true so the sign is a less than sign.

Also make sure that the line either makes a less than/ less than or equal to sign. Because the line is dashed, it makes a less than sign.

5) What is the product of prime numbers immediately before and after 50?​

Answers

Hey there!

The answer to your question is 2491

The two prime numbers immediately before and after 50 are 47 and 53, so 47 x 53 = 2491.

Hope this helps and have a great day!

Brian has £98. Colin takes £y. How much is left?
£

Answers

Answer:

he has £98-y

Step-by-step explanation:

im not sure though

need help plzzzzzxsss​

Answers

with whatttttt ( i can edit my answer )

In which of the following expressions is 5 a coefficient?
5y + 42
19x + 4y + 5
O x² + 4x2
Ox+3+2x X

Answers

Answer:

The first one

Step-by-step explanation:

I hope this helps with your answer :)

Answer:

The first one, 5y +42

Step-by-step explanation:

A coefficient is a variable with a number multiplied to it. Ex. 3y

Only in the first one is 5 a coefficient.

The shape of this particular section of the rollercoaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of a roller coaster is 30 feet above the ground.

1. Write the equation that models the height of the roller coaster.

a. Start by writing the equation of the circle. (Remember that the general form of a circle with the center at the origin is x^2 + y^2 = r^2

b. Now solve this equation for y. (Remember the roller coaster is above ground, so you are only interested in the positive root.

2. Graph the model of the roller coaster using the graphing calculator. Either sketch by hand or take a picture and paste the image below.

Answers

Answer:

Step-by-step explanation:

Part A

x^2 + y^2 = 30^2

I don't know if this is right or not. That would mean that the roller coaster has no clearance and at the lowest point, it would scrape the ground (although not enough to dig a hole).

Part B

y^2 = 900 - x^2

y = sqrt(900 - x^2)

Part C

The graph is actually y = - sqrt(900 - x^2)

That's the only model I can come up with

The wording of the question does not allow for the condition that you want. (0,0) is not the center of the graph the way they want it. See the second graph).

Perhaps it means graph15b. I can't really tell.

What is the answer to the problem?

30 = -5(m + 6) + m

Answers

30=−5(m+6)+m

Step 1: Simplify both sides of the equation.

30=−5(m+6)+m

30=(−5)(m)+(−5)(6)+m(Distribute)

30=−5m+−30+m

30=(−5m+m)+(−30)(Combine Like Terms)

30=−4m+−30

30=−4m−30

Step 2: Flip the equation.

−4m−30=30

Step 3: Add 30 to both sides.

−4m−30+30=30+30

−4m=60

Step 4: Divide both sides by -4.

−4m

−4

=

60

−4

m=−15

Answer:

m=−15

what is cheaper 6lbs for $50.00 or 6.5lbs for $60.00

Answers

Answer:

6lbs for $50.00 is cheaper

Step-by-step explanation:

Answer$50

Step-by-step explanation:

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 3 . If there were 4395 total votes, how many yes votes were there?

Answers

Answer:

There were 2747 yes votes.

Step-by-step explanation:

This question can be solved using proportions.

The ratio of yes votes to no votes was 5 to 3 .

This means that for each 5 + 3 = 8 votes, 5 were yes and 3 were no.

If there were 4395 total votes, how many yes votes were there?

For each 8 votes, we have 5 yes. How many yes votes were there in 4395 votes?

5 yes - 8 votes

x yes - 4395 votes

8x = 4395*5

x = 4395*5/8

x = 2747

There were 2747 yes votes.

What’s the answer to this problem

Answers

Answer:

1.2075

Step-by-step explanation:

Multiply the speed of the turtle ( 0.69 miles per hour) by the number of hours it takes ( 1.75 hours)

Answer: 1.2075

Step-by-step explanation:

multiply 0.69*1.75 and u will get 1.2075

can someone help me?

Answers

Step-by-step explanation:

the answer would be

4

2

1

3

5

What is the slope of the line i need help asap

Answers

Answer:

Step-by-step explanation:

is C  -1/2

y=mx+b

2y=6-x

y=-x/2 +3

m=-1/2

Write fraction or mixed number as decimal 27/75

Answers

9/3. 5/14 hope that's the right awnser

0.36.  i just had this question and got it right. :)

Joshua shops at two different stores for a new phone.
Cheap Cell: Only $150, plus an instant 15% rebate
Cells For Less: Regular Price $150 sale price $125
How much money can Joshua expect to save at Cheap Cell?

Answers

He should expect to save $22.50 because 150*0.15=22.5

Image P is shown in the coordinate grid Image P is translated 2.5 units to the right and 3.5 units up to create image P'.
6
Image P
1
2 3
4
Which rule describes this transformation?

Answers

Answer:

Here we do not have the image P, but let's solve this in a general way.

Suppose that we have a point A (x,y)

If we translate the point A n units horizontally (where n can be positive, translation to the right, or negative translation to the left.)

The new point will be (x + n, y)

if we translate the point m units vertically (if m is positive the translation is upwards, if m is negative the translation is downwards), the new point will be (x + n, y + m)

Then if our figure was p (x, y)

The new figure is p(x + 2.5, y + 3.5)

So for every point in the figure, we need to add 2.5 to the x component, and 3.5 to the y-component.

A group of friends wants to go to the amusement park. They have no more than $155 to spend on parking and admission. Parking is $13.25, and tickets cost $31.50 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.

Answers

Answer:

Step-by-step explanation:

13.25x + 31.50x≤155

44.75x≤150

need help asap please

Answers

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

We do not have enough information to use this theorem. We only have one side and two right angles marked. Hence, you have your answer.

I am joyous to assist you at any time.

BRAINLIEST
please help and leave a small explanation :)

Answers

Answer:

180-118= 62

Answer is angle E= 62

Step-by-step explanation:

Vertical opposite angle of 118 is 118

So, we found out the interior angle. And sum of interior angles is 180. So you subtract 118 from 180 to get angle E.

Hope this helps!!!

Answer:

E is 62

Step-by-step explanation:

First find any angle relationships with the angle 118.

You can see that 118 can go next to E (corresponding angles).

That is a straight line, so in total it will 180 degrees.

180-118 would be E.

180-118 is 62.

hope this helps! :)

HELP PLEASE


-9x + 3 > 39 OR - 5x + 6 < 16

Answers

9514 1404 393

Answer:

  (-∞, -4) ∪ [-2, ∞)

Step-by-step explanation:

The solution to the first inequality is ...

  -9x +3 > 39

  -9x > 36 . . . . . subtract 3 from both sides

  x < -4 . . . . . . . divide both sides by -9; reverse > to < because -9 is negative

__

The solution to the second inequality is ...

  -5x +6 ≤ 16

  -5x ≤ 10 . . . . . . . subtract 6 from both sides

  x ≥ -2 . . . . . . divide both sides by -2; reverse ≤ to ≥ because -2 is negative

__

These solution sets are disjoint. The solution of the OR of these inequalities is the union of the solution sets. The graph is shown below. In interval notation, it is described by ...

  (-∞, -4) ∪ [-2, ∞)

The -2 has a square bracket because it is included in the set. The curved bracket at -4 indicates it is not included.

anna has 300naira and ojo has 1860naira.if anna saves 50 naira a day and ojo spends 70 a day, after how many days will they have equal amounts?​

Answers

Answer:

Anna and Ojo will have same amount after 13 days.

Step-by-step explanation:

Given that:

Anna has 300 naira

She saves 50 naira per day.

Let,

x be the number of days.

y be the amount saved

y = 50x + 300

Ojo has 1860 naira

He spends 70 naira per day.

Let,

x be the number of days

y be the amount left

y = 1860 - 70x

For equal amount, the equations will be equal

50x +300 = 1860 - 70x

50x + 70x = 1860 - 300

120x = 1560

Dividing both sides by 120

[tex]\frac{120x}{120}=\frac{1560}{120}\\x=13[/tex]

Hence,

Anna and Ojo will have same amount after 13 days.

Find the midpoint of the segment with the following end points (10,5) and (6,9)

Answers

Answer:

The mid-point between the endpoints (10,5) and (6,9) is:

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

Step-by-step explanation:

Let (x, y) be the mid-point

Given the points

(10,5)(6,9)

Using the formula to find the mid-point between the endpoints (10,5) and (6,9)

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

Here:

[tex]\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)[/tex]

Thus,

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)[/tex]

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

Therefore, the mid-point between the endpoints (10,5) and (6,9) is:

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

What is the value of f(3) f ( 3 ) for the function f(x)=4x−1

Answers

Answer:

1

Step-by-step explanation:

f(x)=4x-1

3(x)=4x-1

3x=4x-1

3x-4x=-1

-1x=-1

x=1

Find the length of side x in simplest radical form with a rational denominator.
60
X
30
6

Answers

Answer:

We want x We have a 30-60-90 triangle So we get [tex]2 \sqrt{3} [/tex]

The value of 'x' will be;

⇒ x = 2√3

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in figure.

Now,

We know that;

⇒ tan θ = Perpendicular / Base

Here, Perpendicular distance = x

And, Base = 6

Substitute all the values, we get;

⇒ tan θ = Perpendicular / Base

⇒ tan 30° = x/6

⇒ 1/√3 = x/6

⇒ x = 6/√3

⇒ x = 2√3

Thus, The value of 'x' will be;

⇒ x = 2√3

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ2

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