A-Level Cambridge
PURE MATHEMATICS - PI
CH1 COORDINATES GEOMETRY
1-(9709-S 2012-Paper 1/2-Q4) COORDINATES GEOMETRY
[6]
The point A has coordinates (-1, -5) and the point B has coordinates (7, 1). The perpendicular
bisector of AB meets the x-axis at C and the y-axis at D. Calculate the length of CD.
ШОә

Answers

Answer 1

Answer:

either 8.6 or 9. check if it's correct?

7² + 5² = 74

square root 74 = 8.6


Related Questions

please help me with this asap

Answers

2 girls can sing but can’t dance
3 girls can’t sing or dance
3 girls can dance but can’t sing

Answer:

Upper left 10, upper right 2, lower left 3, lower right 3.

Step-by-step explanation:

they give us the upper left and lower right in the first two bullet points. Then “in total, 12 girls can sing”. 12 - the 10 who can sing and dance = 2 for upper right.

They also say there are 18 girls total. 18 - 10 - 3 = 3 for the lower left

The ring Zp^3 has exactly____maximal ideals​

Answers

I’m not sure I’m looking for it

How is solving a two-step INEQUALITY similar to and different from solving a two-step EQUATION?

Answers

Answer:

there both similar by using inverse operations to isolate the variable term by using addition or subtraction and multiplying or dividing to solve for the variable .

the difference is for an inequality if u multiply or divide by a negative number then u have to reverse the inequality symbol, for regular equations u don't have to do that , and for regular equations there is a equal sign and not a inequality symbol

Step-by-step explanation:

just explained it above

hope I helped ! pls mark me brainlest if I got it right thanks :)

PLEASE HELP FAST
If -3y - 6 + 7y = 14, then y =?

Answers

Answer:

you solve for y and you'll get the final answe

Answer:

5

Step-by-step explanation:

- 3y - 6 + 7y = 14

7y - 3y = 14 + 6

4y = 20

y = 20 / 4

y = 5

write an expression based on description; use grouping symbols

1:The sum of 11 and n decreased by 9

2:The product of y less than 16 and 5

Answers

Answer:

it's your answer and make me barinly least

What is the median for the data set below? 2 10 6.5 8.8 3 6 4.0 12.5​

Answers

Answer:

Hi! The answer to your question is 6.25

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

PLEASE ANSWER ILL GIVE YOU BRAINLIEST

Answers

Answer:

80.07 in^2

Step-by-step explanation:

The equation is given: SA = 2πrh

h (height) = 8.5

r (radius is half the diameter) = 3 / 2 = 1.5

SA = 2π (1.5) (8.5) =  80.07

Medical researchers are studying a certain genetic trait found in two populations of people, W and X. From an independent random sample of people taken from each population, the difference between the sample proportions of people who carried the trait (W minus X) was 0.22. Under the assumption that all conditions for inference were met, a hypothesis test was conducted using the following hypotheses.

H0 : pW=pXHa : pW > p XHo : pW= pX Ha: pW >pX

The p-value of the test was 0.03. Which of the following is the correct interpretation of the p-value?
a. The probability of selecting a person from population W who carries the trait is 0.22, and the probability of selecting a person from population X who carries the trait is 0.03.
b. If the proportions of all people who carry the trait are the same for both populations, the probability of observing a sample difference of at least 0.22 is 0.03.
c. If the proportions of all people who carry the trait are the same for both populations, the probability of observing a sample difference of 0.22 is 0.03.
d. If the difference in proportions of people who carry the trait between the two populations is actually 0.22, the probability of observing that difference is 0.03.
e. If the difference in proportions of people who carry the trait between the two populations is actually 0.03, the probability of observing that difference is 0.22.

Answers

Answer:

If the proportions of all people who carry the trait are the same for both populations, the probability of observing a sample difference of at least 0.22 is 0.03

Step-by-step explanation:

Given the hypothesis :

H0 : pW = pX

Ha : pW > pX

W - X = 0.22

Pvalue = 0.03

Since the Pvalue gives the probability of obtaining a value or result figure which is atleast as extreme as the observed value. The observed value here is 0.22 resulting from the difference in W and X (W - X).

This can thus be interpreted to mean ; going by the Null (difference between W and X) ; the probability of obtaining a value of atleast 0.22 as difference is 0.03

k is decreased by 20​

Answers

The answer is k-20

decreased means to take away/subtract, “k” is being subtracted by 20, therefore k-20


Hope this helps! have a wonderful day!

Help if you can please

Answers

Answer:

10 coconut cupcakes

Step-by-step explanation: so, here is what we do since there is 8 cupcakes sold and 4 of them are coconut cupcakes we divide. this is hard to explain but we know that 8 divided by 4 is 2 so we have to multiply to 20 so like 2 times 10 which gives us 20. then we use the answer that we got from multiplying which is 10 as our answer if that makes sense.

Find the missing values in the ratio table. Then write the equivalent ratios

Answers

2 hours for the 8 miles, and 4 hours on the 1/3 hours.j

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 136 millimeters, and a variance of 36. If a random sample of 50 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 1.9 millimeters

Answers

Answer:

0.025 = 2.5% probability that the sample mean would differ from the population mean by greater than 1.9 millimeters

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean diameter of 136 millimeters, and a variance of 36.

This means that [tex]\mu = 136, \sigma = \sqrt{36} = 6[/tex]

Sample of 50:

This means that [tex]n = 50, s = \frac{6}{\sqrt{50}} = 0.8485[/tex]

What is the probability that the sample mean would differ from the population mean by greater than 1.9 millimeters?

This is the probability that it is less than 136 - 1.9 = 134.1 millimeters or more than 136 + 1.9 = 137.9 millimeters. Since the normal distribution is symmetric, there probabilities are equal, which means that we can find one of them and multiply by two.

Probability that it is less than 134.1 millimeters:

This is the pvalue of Z when X = 134.1. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{134.1 - 136}{0.8485}[/tex]

[tex]Z = -2.24[/tex]

[tex]Z = -2.24[/tex] has a pvalue of 0.0125

2*0.0125 = 0.025

0.025 = 2.5% probability that the sample mean would differ from the population mean by greater than 1.9 millimeters

volume of a cylindrical can of juice is 500cm3 and the diameter of its base is 8 cm find the height of the can of pineapple juice

Answers

Answer:

23.864cm

Step-by-step explanation:

volume of a cylinder is found by using the above formula pie × radius² × height = AREA

22/7 × 8 × h = 600cm³

25.143h= 600cm³

600÷25.143 = 23.864cm

Height = 23.864cm

I don’t know why there’s so many numbers to this help me

Answers

Answer:

806,350.307eight hundred six thousand three hundred fifty and three hundred seven thousandths

Step-by-step explanation:

You are asked to add up these numbers and describe the number in words. The given form is called "expanded form". It shows you the place value of each digit.

The sum is ...

  800,000 +6,000 +300 +50 +0.3 +0.007 = 806,350.307

In word form, this is ...

  "eight hundred six thousand three hundred fifty and three hundred seven thousandths"

PLS HELP
MATH ILL GIVE BRAINLIST

Answers

Answer:

D. g(x) = [tex]\frac{1}{4}x^{2}[/tex]

Step-by-step explanation:

The correct formula for g(x) is the following

g(x) = [tex]\frac{1}{4}x^{2}[/tex]

when dealing with the square of a variable, the lower the number that you multiply it by, the wider the parabola will be. In this case multiplying f(x) by 1/4 would give us the parabola that passes by point (2, 1). We can prove this by substituting 2 for x like so...

g(2) = [tex]\frac{1}{4} * 2^{2}[/tex]

g(2) = [tex]\frac{1}{4} * 4[/tex]

g(2) = 1

what are 4 major accomplishments in Will Smith's life?

Answers

Answer:

He first rapped as a duo named Dj Jazzy Jeff and the fresh prince in 1988, with the hit songs Summertime and Parents just don't understand

He then started his career as an actor with the hit sitcom The fresh prince of Bel-air in 1990

He then later gained more popularity in 1997 with hit songs like Gettin jiggy and Miami

He became a well-known actor for movies like Bad boys, Men in black, and the Aladin remake in 2019

Step-by-step explanation:

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solve -5 √x =-15
A. X= -9
B. X= -7
C. X= 9
D. X= 7

Answers

Divide both sides by -5
You would then get (square root)x=3 since the negatives would cancel out
Then you square both sides
You will be left with (x)*2=(3)*2
Your answer will be C. X=9
Hope that helped!
x = 9

The answer is C

What is the total surface area of a rectangular prism whose net is shown 19 in. 17in. 6.in.

Answers

Answer:

1078in

Step-by-step explanation:

Surface area =2(wl+hl+hw)

2·(17·19+6·19+6·17)=1078in

100 times 5 dino nuggie is how much

Answers

Answer:

500 dino nuggies.

Step-by-step explanation:

Hope this helps

Answer:

500 dino nuggies!!!

Step-by-step explanation:

Solve the equation. Check your solution.

30) x/4 = 9

Answers

Answer:

x = 36

Step-by-step explanation:

x/4 = 9

multiply both sides by 4

x/4 (4) = 9(4)

x = 36

The answer is x = 36

We can check by plugging in x = 36 to the original equation:

x/4 = 9

(36)/4 = 9

9 = 9

Correct

The question is in the pic pls help

Answers

Answer:

pink

Step-by-step explanation:

a number n increased by 18​

Answers

Answer:

n+18

Step-by-step explanation:

Answer: n+18

Step-by-step explanation:

CONCEPT:

- a increased by b=a+b

- a decreased by b= a-b

- a multiply by b=ab

- a divided by b=a/b

SOLVE:

A number n increased by 18

(n) increased by (18)

n+18

Hope this helps!! :)

Please let me know if you have any questions

Rewrite 24 + 48 using GCF and the distributive property.

a: 12(3+1)
b: 24(1+2)
c: 3(12+6)
d: 5(2+3)

Answers

The correct answer is B

solve for a. 13/a= 104/152

Answers

13/a = 0.684
0.684a=13
a= 19

What is the mean and MAD of this data set​

Answers

Answer:

Option B will be your answer

Step-by-step explanation:

mean:6 gerbils

MAD:2.29

so its B

hope it helps

have a great day!!

Helppppp !!! Quick I’ll mark u brainlist

Answers

Answer:

it is b approximately 163 yards

f(x) = 3x – 5
g(x) = –6x2 + 6x + 2
Find: f(x) · g(x)

Answers

Answer:

f(x) = 3x - 5

g(x) = 6x^2 + 2x

Find: g(f(x))

method: for each x in g, substitute (3x-5)

g[f(x)]=6(3x-5)^2+2(3x-5)

=6(9x^2-30x+25)+6x-10

=54x^2-180x+150+6x-10

Step-by-step explanation:

what are the equivalent ratios to the number 65 : 100 ?

Answers

Answer:

THE ANSWER IS 13:20

Step-by-step explanation:

Calculate the slope of a line that goes through points (3, 4) and (0, 0).

Question 5 options:

3/4


3


4


4/3

Answers

Answer:

4/3

Step-by-step explanation:

0-4/0-3

-4/0-3

-4/-3

4/3

Answer:

Step-by-step explanation:

3\4

2. A meeting room has 8 rows of
chairs. Each row has 10 chairs.
The first people to arrive fil 2 rows.
How many chairs are not filled?

Answers

Answer:60

Step-by-step explanation:

There are 80 chairs in all because 8 rows x 10 chairs per row. The first people fill two rows which is 20 chairs because each row is 10 chairs so 60 chairs are left

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All of the following activities are considered lobbying, EXCEPT...Select the best answer from the choices provided.A. Sugar farmers asking Congressmen to keep tariffs high to protect their interestsB. Beer breweries contributing money to Congressmen in order to ensure that consumers never know what is in their beerC. Religious organizations petitioning Congressmen to ban alcoholic beveragesD. Entrepreneurs applying to the Small Business Administration for a loan FORST ANSWER GETS BRAINLIRSF FAST help Measurements of atoms, such as amounts, distances, and weights, are often very large or very small when compared to measurements of things you can see or touch. Scientific notation represents numbers as a power of 10. This makes very large or small numbers easier to use and understand. Approximately 7,500,000,000,000 carbon atoms fit across the period that you make with your pencil. Express this number in scientific notation. (PLEASE ANSWER FAST I'LL GIVE BRAINLIEST ALSO PLEASE DO ALL THIS IS WORTH 30 POINTS)Step 1 Rewrite the number with a decimal after the first nonzero digit.7.500000000000 Step 2 Find the number of places and the direction you moved the decimal. If a number does not show a decimal, the decimal is at the right end of the number.You moved the decimal 12 places to the left. Step 3 Drop the zeros, and write the number of places you moved the decimal as a power of 10. If you moved the decimal to the right, the power is negative. If you moved the decimal to the left, the power is positive.7.5 10 12 Step 4 Reverse the process to change scientific notation back to a whole number. A positive power of 10 moves the decimal to the right. A negative power of 10 moves the decimal to the left.(Answer 1, 2, 3, 4 and 5 )1. A sample of gold contains 3,800,000,000,000,000,000 atoms. Express this number in scientific notation. 2. A sample of silver contains 400,000,000,000,000 atoms. 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