2. Find the equation of the perpendicular bisector of line PQ where the co-ordinates of P and Q are P (-2, 8) and Q (4,7)

Answers

Answer 1

Answer:

2y - 12x = 3

Step-by-step explanation:

gradient of line PQ= (7-8)/ 4+2

-1/6

gradient of perpendicular bisector of line PQ=

-1 ÷ -1/6

-1× -6

6

coordinates of the midpoint of line PQ

(-2+4)/2, (8+7)/2

(1, 15/2)

the perpendicular bisector passes through the midpoint of line PQ

Equation of the perpendicular bisector

y - 15/2 = 6(x - 1)

multiply through by 2

2y - 15 = 12(x - 1)

2y - 15 = 12x - 12

2y - 12x = 3


Related Questions

Evaluate the expression: (–2)2 + (–42) + (18 – 23).

Answers

Hey there!

(-2)2 + (-42) + (18 - 23).

= -2(2) - 42 + 18 - 23

= -4 - 42 + 18 - 23

= -46 + 18 - 23

= -46 + (-5)

= -46 - 5

= -51

Therefore, your answer is: -51

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Income You are starting your first job as an assistant manager at a
sporting goods store. You receive a base salary of $14.75 per hour with
time-and-a-half for hours in excess of 40 hours per week. You are paid
every two weeks. Social Security and Medicare are deducted from your
pay. Social Security tax is 6.2% of the gross pay. Medicare tax is 1.45% of
the gross pay. What is the bi-weekly (every two weeks) deduction for
Social Security and Medicare? *
O $118.00
O $76.50
$89.90
$90.27

Answers

The bi-weekly deduction for Social Security and Medicare is $90.27.

Since you receive a base salary of $ 14.75 per hour with time-and-a-half for hours in excess of 40 hours per week, and you are paid every two weeks, and Social Security and Medicare are deducted from your pay, and Social Security tax is 6.2% of the gross pay, and Medicare tax is 1.45% of the gross pay, to determine what is the bi-weekly (every two weeks) deduction for Social Security and Medicare, the following calculation must be performed:

(14.75 x 40 x 2) x ((1.45 + 6.2) / 100) = X 1180 x 0.0765 = X 90.27 = X

Therefore, the bi-weekly deduction for Social Security and Medicare is $90.27.

Learn more about maths in https://brainly.com/question/25811665

Question One:
An Internet-based company that sells discount accessories for cell
phones often ships an excessive number of defective products. The
company needs better control of quality. Suppose it has 20 identical
car chargers on hand but that 5 are defective. If the company decides
to randomly select 10 of these items, what is the probability that 2 of
the 10 will be defective?

Answers

Probability that 2 of the 10 chargers will be defective =0.35

Number of ways of selecting 10 chargers from 20 chargers is 20C10

20C10 = 184756

Number of ways of selecting 10 chargers from 20 = 184756

Number of ways of selecting 2 defective chargers from 5 defective chargers = 5C2

5C2 = 10

Since 2 defective chargers have been chosen, there remains 8 to choose

Number of ways of selecting 8 good chargers from 15 remaining chargers = 15C8

Number of ways of selecting 8 good chargers from 15 remaining chargers = 6435

Probability that 2 of the 10 will be defective =

(10x6435)/184756

Probability that 2 of the 10 will be defective = 64350/184756

Probability that 2 of the 10 chargers will be defective =0.35

Learn more on probability here: https://brainly.com/question/24756209

2 FOR 2.20 UNIT RATE

Answers

Answer: (if your asking for the unit rate of that)

the unit rate is 1.10

Answer:

1.10

Step-by-step explanation:

2 /2 = 1

20/ 2 = 10

1.10 is the unit rate

f(x)=6(-x+3), what is the value of f(-1)

Answers

Replace x in the equation with -1 and solve:

6(-(-1) + 3)

Simplify the parentheses: 6(1 + 3)

Add inside the parentheses:

6(4)

Multiply

6 x 4 = 24

Answer : 24


The students in Class A and Class B were asked how many pets they each have. The dot plots below show the
results
Students in Class A
Number of Pets
Students in Class B

What is the difference between the ranges in the dot plot

Answers

Answer:

The answer is 2

Step-by-step explanation:

The range of class A is 5-0 = 5

The range of class B is 3-0 = 3

the difference between 3 and 5 is 2.

please please help!

Answers

Answer:

Option B is the correct answer

Step-by-step explanation:

Given that

[tex]\sin \theta =\frac{-1}{\sqrt{2}}[/tex]

Value of sine function is negative in third and fourth quadrant

Hence this is true for

[tex]\theta =225^{0},315^{0}[/tex]

Option B is the correct answer

If a triangle has a base of 6' and a height of 4' its third side would be what?

Answers

Answer:

≈7.2

Step-by-step explanation:

hope this helps

Answer: ≈7.2

Explanation: a^2+b^2=c^2
6^2+4^2=c^2
36+16=c^2
52=c^2
c= 7.211102550927979…
c≈7.2

what is 130mins into hours and minutes?​

Answers

Answer:

Step-by-step explanation:

1 Hour = 60 minutes

60  + 60 = 120 minutes

120 minutes = 2 hours

Add 10 minutes

2 hours 10 minutes = 130 minutes

Hello there. So there are 60 minutes in 1 hour, implying that 120 minutes must be 2 hours.

We need to get to 130 minutes.
We know it will be 2 hours and ____ minutes. 130 - 120 will leave us with 10 minutes. So in total we have 2 hours and 10 minutes.

In the form of a decimal, to work out 2 hours and 10 minutes, we’d need to take 10 and divide it by 60, since there is 60 minutes in an hour. 60/10 = 0.166 reoccurring. Now we can just add the 2 to 0.166 = 2.166667.

个,
4800
3. Alexander is taking 15 credit-hours this semester at college. The
relationship between tuition and credit hours is shown by the graph below.
What is the constant of proportionality?
A. 15
B. 400
C. 800
D. 6000
4400
4000
3600
3200
2800
2400
2000
Tuition
1600
1200
800
400
2
3
S
4
Credit Hours
7
&
9

Answers

Answer:

4800

3. Alexander is taking 15 credit-hours this semester at college. The

relationship between tuition and credit hours is shown by the graph below.

What is the constant of proportionality?

A. 15

B. 400

C. 800

D. 6000

4400

4000

3600

3200

2800

2400

2000

Tuition

1600

1200

800

400

2

3

S

4

Credit Hours

7

&

9

Step-by-step explanation:

Which pair of points has a slope of 4? Question 4 options: (0, –3), (1, 1) (3, 0), (–1, –1) (1, 4), (–1, 4) (0, 4), (4, 0)

Answers

Answer:

(0,-3), (1,1)

Step-by-step explanation:

The answer is: (0,-3) and (1,1)

Explanation:

Slope = y2 - y1 / x2 - x1

M = 1 - ( -3 ) / 1 - 0

M = 4

The wavelength of yellow light in a spectrum is about 0.00002 inches. Which number best approximates this length as a power of 10? O A. 2x 10-5 O B. 2 x 105 O C. -2x 105 O D. 2 x 10-4 SUBMIT help me please fast ​

Answers

Answer:

A

Step-by-step explanation:

You have to move the decimal 5 places to the left to get 2

help me pls
sssssssssssssssssssss

Answers

The first one
That’s the right answer

Translate the sentence into an equation using n as the unknown number. Then solve the equation for n.

5 increased by half a number is 11.

a.
5 + 0.5n = 11
n = 12
c.
5(0.5n) = 11

n = 4.4

b.
5n + 0.5 = 11
n = 2.1
d.
5n +0.5 = 11
n = 12



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

the answer is A)5+0.5n=11

Step-by-step explanation:

5 is increased by half a number, so half of. a number(n) is added to 5

Answer:

D is correct

Step-by-step explanation:

I hope this helps

5 increased by half a number is 11.

5 increased by half a number is 11. 5 + 1/2n = 11 where n is the unknown number. 1/2n = 11 - 5 = 6 n = 6 * 2 = 12 The number is 12.

What is the missing number in the table

Answers

16
Because the pattern is *4
So 4*4 =16

Good evening my daughter needs help with the following. thank you ​

Answers

Answer:

3 x 9 = 3 x (5 + 4)

= 15 + 12

= 27

Step-by-step explanation:  First you split 9 into 2 parts and ask what plus what equals 9?  5 + 4 = 9 so you got the first equation 3 x (5 + 4).

Then 3 x 5 = 15 and 3 x 4 = 12 so you got the equation 15 + 12 = 27

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )

Answers

TV / BC = TU / DC
TV = 20^2 - 12^2 = 256 = 16

substitute:
16 / 4x + 3 = 12 / 9
16 / 4x + 3 = 4 / 3

cross multiply:
48 = 16x + 12
36 = 16x

2.25 = x

Answer:

x=3

Step-by-step explanation:

What u should always do is look at the letters of the triangles given:

It will tell u that:

[tex] \frac{tu}{dc} = \frac{uv}{cb} [/tex]

Now we once again just sub in the values:

[tex] \frac{12}{9} = \frac{20}{4x + 3} [/tex]

we can simplify the fraction on the right

[tex] \frac{4}{3} = \frac{20}{4x + 3} [/tex]

And now we cross multiply

3×20=4(4x+3)

60=16x+12

60-12=16x

48=16x

Therefore :

x=3

Examine the figure. What is the measure of angle a?

Answers

Answer:

59

Step-by-step explanation:

90+31=121

180-121=59

Answer:

a=59

basic fact:

angles on a straight line add up to 180

Step-by-step explanation:

we can ignore b for a start

31+90+a=180

121+a=180

121+59=180

a=59

Please please help me​

Answers

[tex]1)3k - 2k \\ = k(3 - 2) \\ = k(1) \\ = k[/tex]

[tex]2) {5x}^{2} - 10x - {8x}^{2} + x \\ = {5x}^{2} - {8x}^{2} - 10x + x \\ = - 3 {x}^{2} - 9x \\ = - 3x(x - 3)[/tex]

[tex]3) - (m + n) + 2(m - 3n) \\ = - m - n + 3m - 6n \\ = - m + 2m - n - 6n \\ = m - 7n [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Geologists collected some rock samples. Of the 12,000

grams of ore they collected, about 600 grams contain a

valuable mineral

What is the concentration of the mineral in the

sample?

5%

6%

50%

60%

Answers

Answer:

5%

Step-by-step explanation:

600 / 12000 = .05

Answer:

2 %

Step-by-step explanation:

PLEASE HELP ME WITH GEOMETRY PLS AND TANKYOU

Answers

Answer:

68

Step-by-step explanation:

because 180-44=136

136:2=68 (since TRS=TSR, there is formula)

Which list of angle measures could be the angle measures of a triangle?

Answers

Answer:

D. 35, 60, 85

Step-by-step explanation:

All angles of a triangle have to add up to 180 degrees.

35+60+85 = 180

Solve for X


show your work

Answers

Answer:

alternate exterior angles are equal .

17x + 2 = 18x - 2

x = 2 + 2

x = 4

Step-by-step explanation:

I believe it’s x = 4

I need the answers for this please

Answers

Answer:

A AND B IS TRUE  C IS FALSE

Step-by-step explanation:

I am so bad at this.Do you know the answer?

Answers

Answer:

it's for sure option (B) cuz it's represented in the form of a straight line which means it's linear!

hope helpful~

Answer:

B

Step-by-step explanation:

I thinks its the best answer

Find m

U
W
V
∠UWV.

Answers

180-112\2. the answer is 34°.

I need the correct answer to this problem please

Answers

∫2x+1 =2-5

Answer is ∫2x+1 = -3
This equation has no solutions

Evaluate each of the following limits.
a. lim 8(2 + h) – g(2)
if gt) = VI + 7
h
h→0
How do you solve this?

Answers

Answer:

  lim = 1/6

Step-by-step explanation:

Apparently, we have ...

  [tex]g(t)=\sqrt{t+7}[/tex]

It often works well to multiply by the conjugate of a difference that approaches zero.

  [tex]\displaystyle\lim_{h\to 0}{\frac{g(2+h)-g(2)}{h}}=\lim_{h\to 0}{\frac{\sqrt{(2+h)+7}-\sqrt{2+7}}{h}}\\\\=\lim_{h\to 0}\frac{(\sqrt{9+h}-\sqrt{9})(\sqrt{9+h}+\sqrt{9})}{h(\sqrt{9+h}+\sqrt{9})}=\lim_{h\to 0}{\frac{(9+h)-9}{h(\sqrt{9+h}+\sqrt{9})}}\\\\=\lim_{h\to0}{\frac{h}{h(\sqrt{9+h}+3)}}=\left.\frac{1}{\sqrt{9+h}+3}\right|_{h=0}=\boxed{\frac{1}{6}}[/tex]

5. Linda earns $95 per day. If she works of a day, how much will she earn?

Answers

Answer:

95 Dollars

Step-by-step explanation:

95 dollars because she earns 95$ per day and it says "of a day" so it would have to be 95*1, and 95*1 is 95 and it asks how much she earns as in money so it is 95 dollars.

Wendy has $27 to buy seed for her birdfeeders. Each bag of seed costs $5.
How many bags of seed can she buy? Do not include units in your answer.
Answer here
SUBMIT

Answers

Answer:

5

Step-by-step explanation:

If Wendy has $27 to buy seeds, and each seed bag costs $5, then:

5 · 5 = 25

5 · 6 = 30

27<30

27>25

So, Wendy is able to buy 5 bags and remain with 2 dollars.

She can buy only 5 cuz, 5x5=25 but 5x6=30, 30 is greater than 27
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