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

Find the measure of each angle in the problem: complementary angles with measures 4x and 5x-18 degrees

Answers

Answer:

42 degrees and 48 degrees

Step-by-step explanation:

If they are complementary, that means they add up to 90 degrees, so

4x + 5x - 18 = 90,

Solving,

9x - 18 = 90

add 18 to both sides

9x = 108

divide both sides by 9

x = 12

Now, to find the angle measures of each you have to substitute x = 12 into both angles.

4x --> 4 * 12 = 48 degrees

5x - 18 --> 5 * 12 - 18 --> 60 - 18 --> 42 degrees

Find the value of X.

Answers

All 3 sides of the triangle are the same, which means all 3 inside angles are the same. Each inside angle is 60 degrees.

We now have 3x = 60

Divide both sides by 3:

x = 60/3

x = 20

Answer:

As in the given figure, all the sides are equal i.e., 5 units

It is a equilateral triangle.

In equilateral triangle all the angles are 60°.

[tex]3x = 60 \\ x = \frac{60}{3} \\ \boxed{x = 20}[/tex]

20 is the right answer.

Find the solution of these two equations. Y=1/5x-7 and y=-x-1

Answers

Answer:For the first one it would be x=35

And the 2nd one would just be x=-1

Step-by-step explanation:

Lisa bought bottles of soda for $2.50 each and a large pizza for $17. The total cost was $27. How many bottles of soda did Lisa buy?

A.
4

B.
3

C.
10

D.
6

Answers

Answer:

a

Step-by-step explanation:

27-17= 10$ 2.5 goes into 10 4 times

here’s the other one

Answers

Answer:

it is A

Step-by-step explanation:

Find the missing angle m

Answers

Answer:

m∠BAC=135°

Step-by-step explanation:

360- 84=276

276-141=135

Hope this helps!

Please mark me brainliest if you can. :)

Find the measure of angle B
(9x+2) (5x-4)

Answers

Answer:

119

Step-by-step explanation:

[tex]due \: to \: Corresponding \: angles \\ (5x - 4) + (9x + 2) = 180 \\ 14x = 182 \\ x = 13 \\ \\ 9.13 + 2 = b \\ b = 119[/tex]

Answer:

In the given figure, we know that (angle B+angle C)=180°.

[tex](9x + 2) + (5x - 4) = 180 \\ 14x - 2 = 180 \\ 14x = 182 \\ \boxed{x = 13}[/tex]

Angle B = (9x+2) = (9×13+2) = (117+2) = 119°.

What is x>5 graph algebra

Answers

Answer:

Step-by-step explanation:

I will give brainiest to whoever answers correctly !!

Answers

Answer:

34.5%

I'm not sure.

but I'm quite sure.

Answer:

The percent markup is 300%

Step-by-step explanation:

15.75 = 1575%

18.75 = 1875%

1875% - 1575% = 300%

Select the expression below that is equal to 6(10 - m).
A.
16 - m
B.
60 - m
C.
60 - 6m
D.
6m - 60

Answers

Answer:

The answer is C. 60-6m.

integers between -9 and -2

Answers

Answer:

Step-by-step explanation:

the integers are -8,-7,-6,-5,-4,-3,

If a leaky faucet drips one ounce of water per minute approximately how many gallons per day is that

Answers

Answer:

Step-by-step explanation:

1hr=60mins

24hrs in a day

1hr=60oz

60oz x 24hrs =1440 oz

1440oz = 11.25gal

PLEASE MARK BRAILIEST

write the standard number 723,600 in scientifict notation

Answers

Answer:

723,600 = 7.236 × [tex]10^{5}[/tex]

Step-by-step explanation:

Scientific notation is a way to express numbers in a form that makes numbers that are too small or too large more convenient to write. It is commonly used in mathematics, engineering, and science, as it can help simplify arithmetic operations.

Which expression is equivalent to 20+64
a.4+(16+60)
b.4+(5+16)
c.4+(16+60)
d.4(5+16)​

Answers

Answer:

D. 4 (5 + 16)

Step-by-step explanation:

20 + 64 = 84

To solve this problem we have to simplify each of the expressions in the answer column:

A. = 80

(16 + 60 = 76) giving us

4 + 76 = 80

B. = 25

(5 + 16 = 21)

4 + 21 = 25

C. = 80

(16 + 60 = 76)

4 + 76 = 80

D. = 84

(5 + 16 = 21)

4 x 21 = 84

So The correct option is D. 4 (5 + 16)

Graph

y + 4 = 2/5 (x − 3)

Answers

Answer:

Y= 2/5x - 23

Step-by-step explanation:

Firstly:

Move the 1/5 to the other side of the equation

So

5(y+4) =2(x-3)

Secondly:

Expand the brackets

5y +20 = 2x-3

Thirdly:

Solve

5y= 2x - 3-20

5y=2x-23. (Divide by five both sides)

Y= 2/5 x - 23 (Straight line graph)

To plot the graph:

First create a table of values

For x coordinates and y coordinates

Put the points in the graph and match

BRAINLIEST
please help and leave a small explanation:)

Answers

Answer:

Choose option D. Angle 3 and Angle 6

Step-by-step explanation:

Angle 3 = Angle 6 ( being alternate angels)

Hope it will help :)

Answer:

congruent means that they are the same angle so that being said, you can clearly tell that A, B, and C are not the same angles at all. and D is the only correct answer.

Step-by-step explanation:

I really hope this helps!

Me ayudan porfavor no entendí

Answers

¿Qué no entiendes para que pueda ayudarte?

Answer:

Como puedo ayudar?

Step-by-step explanation:

These tiles represent the expression x + 7x + 2.
1
Х
X X X X X X X
1
Which expression is equivalent to x + 7x + 2?
8x + 2
8x + 9
10x
9x + 1

Answers

Answer:

the answer is A

Step-by-step explanation:

x + 7x + 2 = 8x + 2

When plotting points on the coordinate plane
below, which point would lie on the x-axis?

(6,0)
(0, 2)
(3.8)
(5,5)

Answers

Answer:

(6,0)

Step-by-step explanation:

Consider the figure below:
20
16
6
Determine the length of TZ.
Do not include spaces, units, or commas in your response.
Enter answer here. Do not include spaces or units.

Answers

Answer:

TZ = 24

Step-by-step explanation:

Similar Triangles

If two triangles are similar, then:

* All the corresponding side lengths are proportional by the same scale factor

* All the internal angles are congruent.

The image provided in the question has two similar triangles TYZ and TWX. We have completed the shape with a variable p =TZ, whose value will be determined by applying the first similarity condition above.

The ratio between the heights is 20:16, and the proportion between the bases is (6+p):p, thus:

[tex]\displaystyle \frac{6+p}{p}=\frac{20}{16}=\frac{5}{4}[/tex]

Cross-multiplying denominators:

4(6 + p) = 5p

24 + 4p = 5p

Solving for p:

p = 24

Then, TZ = 24

Rosa is making bracelets to sell at the craft fair.
Yesterday she made 36 in 8 hours. Find k the
(constant of proportionality) and write the rule
(equation) for this relationship.

Answers

9514 1404 393

Answer:

  k = 4.5

  y = 4.5x . . . y bracelets in x hours

Step-by-step explanation:

The constant of proportionality is the "unit rate", the number of bracelets per hour.

  k = bracelets/hours = 36/8 = 4.5

The constant of proportionality is 4.5 (bracelets per hour).

__

The equation of a proportional relationship is ...

  y = kx

For this relationship, ...

  y = 4.5x . . . . . . y bracelets in x hours

8. Use the information in the table to write 5 ordered pairs that have cats as the input value
and dogs as the output value.

Answers

The answers for that question and probably many more are on this paper



Mary, Hans, and Alan have a total of $54 in their wallets. Mary has $10 more than Hans. Alan has 2 times what Mary has. How much do they have in their
wallets

Answers

Answer: $95

Step-by-step explanation:

Let's say Maria is M, Hans is H and Alan is A.  Maria has M amount of money.  If Hans has 10 more than Maria, he has M+10.  If Alan has 3 times what Hans has and Hans has (M+10), then Alan has 3(M+10) which is 3M+30.  Altogether they have 95 dollars.  So we will add up what they have and set it equal to 95.  M+10+M+30+3M=95.  That simplifies to 5M+40=95 and 5M=55.  Therefore, Maria has 11 dollars.  Hans has 10+11=21, and Alan has 3(21)=63.  11+21+63=95

Can someone please answer 1 for me? Whoever can answer gets brainliest

Answers

ANSWER
Day 1 he gets $7
Day 2 he gets $14
Day 3 he gets $21

EXPLANATION:

add 7 to each day!
Hope that helps <3

Write the ordered pair for each given point:
9) J ___
10) E ___
11) X ___
12) Z ___
13) B ___
14) D ___
15) R ___
16) W ___

I WILL PUT BRAINLIEST!!

Answers

j:-5,9
e:-2,1
x:1,2
z:-8,-3
b:-4,-6
d:-5,1
r:-3,-8
w:0,9
j(-5,9)
e(-2,1)
x(1,2)
z(-8,-3)
b(-4,-6)
d(-5,1)
r(-3,-8)
w(0,9)

14) The ratio of green to red gummy bears in a package is 3:7. If there are a total of 80
gummy bears in the package, how many gummy bears are red?

Answers

Answer:

There are 56 red gummy bears

Step-by-step explanation:

The ratio of green to red gummy bears is = 3 : 7

Total gummy bears = 80

We need to find how many gummy bears are red?

We can write it as:

3x : 7x

where x is the common ratio.

We can write:

Quantity of Green gummy bears = 3x

Quantity of Red gummy bears = 7x

Total Gummy bears = 80

So, 3x+7x = 80

10x = 80

x = 8

Now, finding quantity of Red gummy bears by putting x = 8

7x = 7(8) = 56

So, There are 56 red gummy bears

Ella is Bono motorcycle and he’s taking out a loan in the amount of $15,000 her choice is for the loan or a 36 month loan at 6.50% annual simple interest and 48 month loan at 7.50 annual simple interest what is the difference in the amount of interest Ella would have to pay for these two loans

Answers

Answer:

Step-by-step explanation:

Step-by-step explanation:

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the 36-month loan,

T = 36 months = 36/12 = 3 years

P = $15000

R = 6.5%

Therefore

I = (15000 × 6.5 × 3)/100

I = 292500/100

I = $2925

Considering the 48-month loan loan,

T = 48 months = 48/12 = 4 years

P = $15000

R = 7.5%

Therefore

I = (15000 × 7.5 × 4)/100

I = 450000/100

I = $4500

The difference in the amount of interest Ella would have to pay for these two loans is

4500 - 2925 = $1575

4.
3.
If the base of the triangle is 4.1 cm. and the
height is 5.7 cm., what is the approximate area
bh
of the triangle? (Area of a triangle = home :)
a. 23.3 cm b. 15.5 cm
c. 11.7 cm

Answers

Answer:

area=basexheight

area=4.1x5.7

area=23.3

Plz help me I am timed plz don’t guess

DeArah made 88, 90, and 92 on her math tests this grading
period. What is the mean of her math test scores?

OA) 89
OB) 90
OC) 91
OD) 92

Answers

Answer:

B. 90

Step-by-step explanation:

Add them all, divide by 3.

88 + 90 + 92 = ?

270 = 270

270/3 = 90

Answer: 90

Step-by-step explanation:

You just add up all the numbers then divide by how many numbers there are.

( 88 + 90 + 92 = 270 ) There are 3 numbers so take 270 / 3 = 90.

What is the slope of a line that is perpendicular to the line shown on the graph?​

Answers

The answer is C. 1/2

Hope this helps!
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