A(-1,1) and P(a,b) are two points, where a and b are constants. The gradient of AP is 2. Find an expression for b in terms of a.

Answers

Answer 1

Answer:

b = 2a + 3

Step-by-step explanation:

Here, we want to write an expression for b in terms of a

Mathematically, the formula for the slope of a line is

m = (y2-y1)/(x2-x1)

m is 2

(x1,y1) = (-1,1)

(x2,y2) = (a,b)

Substituting these values

2 = (b-1)/(a-(-1))

2 = b-1/a + 1

2(a + 1) = b-1

2a + 2 = b- 1

2a + 2 + 1 = b

b = 2a + 3


Related Questions

mr jones is painting a wall in his office. he has enough paint to cover 104 square feet . the wall he is painting is 12 feet wide and 9 feet long. Does he have enough paint to cover the wall

Answers

Answer:

no

Step-by-step explanation:

9x12=108

108 square feet so not enough paint.

needs more paint that covers 4 square feet

simplify (4x-2)+3(x+7)

Answers

Answer:

7x+19

Step-by-step explanation:

In a class test, +4 marks were awarded for the correct answers and -1 mark for the wrong answers. Student scores 40 marks. If his correct answers were 11, find his wrong answers. *

Answers

4 Wrong Answers

[tex]Correct = 11*4=44[/tex]

[tex]Incorrect = Correct - 40 = 4[/tex]

Please help, It feels like I know it but It won’t come to my brain

Answers

Answer:

D. m= x + 0.75

Step-by-step explanation:

Andrew is adding books to the backpack that already weighs 0.75 kg.

the answer is D

m= x+0.75

Use the value 3.14 for pi and do not round your answers. Be sure to include the correct units in your answers

Answers

Answer:

C= pi x diameter

5 x 3.14 = 15.7

hope that answers your question

Step-by-step explanation:

If 24 apples represents 30% of her apple supply. How many total apples does Jasmine have?

Answers

Answer:

She has 80 apples in all.

Step-by-step explanation:

24=30%

(24÷3)=(30÷3)%

8=10%

(8×10)=(10×10)%

80=100%

The answers to your question is 1.25

Nadia sells earthworms to fishermen. She charges 75 cents for a dozen worms. Yesterday she sold 48 worms. How much money did she make?

Answers

Answer:

I believe she sold 3 dollars

Step-by-step explanation:

if this helps please give me a crown

Answer:

$3.00

HOPE THIS HELPS :)

Find the area of each parallelogram. 1. I 18 ft 16 ft​

Answers

Answer:

Area is 288.

To find the area of a shape you have to multiply. 18 x 16 = 288.

area equal 288 simply multiply both

suppose 70% of the 500 orders at a fast food restaurant include a drink what is the percentage as a part to whole ratio as well as a part to part ratio simplify each ratio​

Answers

Answer:

140

Step-by-step explanation:

A fitness center charges $3 per visit plus a monthly fee of $30. How much would it cost in one month if Ella has 18 visits?
$48
$54
$84
$90

Answers

Answer:

84$

Step-by-step explanation:

It says it costs $3 per visit and Ella went 18 times

So we can describe that as x represents the times she has visited, x=18, so 3(18)

now we just add $30 dollars since she only went in one month and $30 is the fee per month so that would be (3*18=) 54+30

which would then give you $84 dollars!

hope it helps!!

Answer:

C.) $84

Step-by-step explanation:

1 + 1 =

A. 1
B. 21
C. 11
D. fish​

Answers

Answer:

N/A

1 + 1 = 2

Step-by-step explanation:

Answer:

Hmm... 11

I'd have to go with 11

Step-by-step explanation:

Thanks by the way :)

Can I get help with this please?

Answers

First equation:
5(x+1)=20 —— distribute the 5 to the x and 1
5x+5=20 ——- subtract 5 from 20
5x=15 ———— divide by 5 from both sides
X=3 ————— answer

Second equation:
5x+1=20——— subtract 1 from 20
5x=19 ———— divide by 5 from both sides
X=19/5———— answer in fraction form
X=3.8————- answer in decimal form

help please i’ll really appreciate it

Answers

Answer:

704

Step-by-step explanation:

We need to find the volume of pyramid and cube and plus.

volume of pyramid

l-Base length  

w-Base width  

h-Pyramid height

Vp==lwh /3=8·8·9 /3=192

Volume of pyramid and cube

a-Edge

Va=a³=8³=512

V=Va+Vp=512+192=704

The difference of two numbers is 22 and their is 76 find the numbers

Answers

Answer:

27

Step-by-step explanation:

a 76 le quitas la diferencia de 22 y da 54 que lo divides entre 2 y da 27 por lo que 27+27=54+22=76

Which of the following cannot be solved using nPr?

permutations of the letters of the word "OF"
permutations of the letters of the word "PERMUTATION"
permutations of the letters of the word "THINGS"
permutations of the letters of the word "N"

Answers

Answer:

permutations of the letters of the word "PERMUTATION"

Step-by-step explanation:

The number of permutations of the letters of the word "PERMUTATION" cannot be solved using nPr. The correct answer is B.

What is the permutation?

The permutation is defined as considered an ordered combination.

The following formula computes the permutation of r items from n:

P(n, r) = n! /(n-r)!

here order matters and repetition is not allowed.

Therefore, nPr cannot be used to solve problems that involve repeating items or where order does not matter.

As per the question, the permutations of the letters of the word "OF", "THINGS", and "N" involve distinct letters and no repetition, so they can be solved using nPr.

However, the word "PERMUTATION" has repeated letters.

Therefore, the number of permutations of the letters of the word "PERMUTATION" cannot be solved using nPr because it does not account for repeated items.

Learn more about the permutations here:

https://brainly.com/question/1216161

#SPJ2

At which of the given values is the graph discontinuous? will report if links is put as an answer.

Answers

Answer:

A

Step-by-step explanation:

Jump discontinuity

Amanda, Joe, and Ravi have a total of $129 in their wallets. joe has $9 less than Amanda. Ravi has 4 times what Amanda has. How much does each have?

Answers

465 ofc I don’t know if that’s correct Bc like I haven’t done this in a minute soo

Is y= x +4 a linear fraction or nonlinear fraction

Answers

Answer:

Linear as it would be a straight line.

Step-by-step explanation:

If you move up one and to the left one you would have a straight line touching the y-intercept 4.

Given the function f(x)=2|x+6|-4,for what values of x is f(x)=6

Answers

Answer:

[38]

Step-by-step explanation:

Miyoko bought 3 packages of tape that each had 1 yard 2 feet of tape in them how many inches of tape did miyoko buy?

Answers

Answer: 180 inch

Step-by-step explanation:

Given

Miyoko bought 3 packages of tape

Each tape has 1 yard and 2 feet of tape

[tex]1\ \text{yard}=3\ \text{foot}[/tex]

[tex]1\ \text{ft}=12\ \text{inch}[/tex]

converting yard to feet

[tex]\Rightarrow 3+2=5\ ft[/tex]

Convert feet to the inch

[tex]\Rightarrow 5\times 12=60\ \text{inch}[/tex]

For 3 tapes, it is

[tex]\Rightarrow 60\times 3=180\ \text{inch}[/tex]

Thus, the total tape is [tex]180\ \text{inch}[/tex]

In the figure, angle D measures 71° and angle G measures 37°. What is the measurement of angle A?

Answers

Answer:

No u

Step-by-step explanation:

Answer : M{A}=72

This is a triangle, meaning the total degree will be 180.

Is this correct? Answer if you know the answer and correct me if I am wrong.

Answers

Answer: Is correct trust me.

Step-by-step explanation:

what number should be added to get 10/77 to get 1 ?

Answers

I think to add to the same number and it would be a whole number

Cindy feeds her dog 1/3 pound of food each day after 6 day,how many pounds of food has she given to her dog?

Answers

Answer: 2 pounds

Step-by-step explanation: if each day the dog gets 1/3 pounds, then after two days the dog would get 2/3 pounds. 3 days would be 1 pound, so after 6 days that would be 2 pounds.

help pls! I will mark u brainliest if its correct. but pls dont put one of those links.. ty​

Answers

i think it is 96m^2 because math

This is a rectangular prism,

Here length = 16 m

Width = 6 m

Height = 3 m

Surface area of rectangular prism = 2( bl + lh + hb )

Where,

b – base length of the rectangular prism.

l – base width of the rectangular prism.

h – height of the rectangular prism.

Putting these values, surface area = 2(16×6 + 16×3+ 3×6)

= 2( 96+48+18) = 2×162 = 324m

hope you get it well :)

Nora needs 5 and 1/2 cups of flour for a cookie recipe she is making for a large party. So far she has scooped 1 1/2 cups and 1 3/4 cups of flour into her bowl. How many more cups of flour does she need?

Answers

11/2 total or 22/4 total.
We have used 3/2 or 6/4 plus another 7/4
so we have a total of 13/4ths.
Then we subtract 13 from 22 which gets us 9/4
Meaning we need a total of 2 full cups and a 1/4th of a cup other wise being 9/4ths of a cup

A coach records the ages of the players on two of her teams. Which statement about the ages of the students is true? A The range of ages is the same for both teams.The range of ages is the same for both teams. B The mode(s) of the ages is the same for both teams.The mode(s) of the ages is the same for both teams. C The mean age of the players on the volleyball team is less than the mean age of the players on the baseball team.The mean age of the players on the volleyball team is less than the mean age of the players on the baseball team. D The median age of the players on the volleyball team is greater than the median age of the players on the basketball team.

Answers

Answer:

Bro u need to put in the graph or the chart or something

Step-by-step explanation:

Help

Help

Help

Help. Help help help help help help help help

Marco picked answer A for the following problem. Why is that not the correct answer? (NO LINKS)

Answers

Answer:

This is not correct because the organic rice line in Graph A is increasing more than the conventional rice line. This is why the x- and y-labels are important: organic rice in Graph A; you are able to get more pounds for the same amount of weight. If organic rice costs more, you should get less pounds of rice. Graph B shows this relationship because the conventional rice line is higher than the orangic rice line, which indicates that you can get more conventional rice than organic rice at the same price, which is what the question says.

The sodium content of a popular sports drink is listed as 220 mg in a 32-oz bottle. Analysis of 10 bottles indicates a sample mean of 228.2 mg with a sample standard deviation of 18.2 mg. (a) State the hypotheses for a two-tailed test of the claimed sodium content. a. H0: μ ≥ 220 vs. H1: μ < 220 b. H0: μ ≤ 220 vs. H1: μ > 220 c. H0: μ = 220 vs. H1: μ ≠ 220 a b c (b) Calculate the t test statistic to test the manufacturer’s claim. (Round your answer to 4 decimal places.) Test statistic (c) At the 5 percent level of significance (α = .05), does the sample contradict the manufacturer’s claim? H0. The sample the manufacturer’s claim. (d-1) Use Excel to find the p-value and compare it to the level of significance. (Round your answer to 4 decimal places.) The p-value is . It is than the significance level of 0.05. (d-2) Did you come to the same conclusion as you did in part (c)? Yes No

Answers

Answer:

Follows are the responses to this question:

Step-by-step explanation:

[tex]H_O: \mu=220\\\\H_a:\mu \neq 220\\\\[/tex]

0.05 degree of significance for two tail tests and n-1= 9 df, critica t= 2.262

When the absolute value of the test statistic |t| >2.262, the decision rule rejects[tex]H_0[/tex].

[tex]\mu=220\\\bar{x}=228.200\\n=10.00\\smaple \ std \ deviation = 18.200\\std\ error \ ' sx= \frac{s}{\sqrt{n}} =5.7553\\test stat t=\frac{(x-\mu) \times \sqrt{n}}{sx}=1.4248\\p value=0.1880\\[/tex]

In point c:

It does not reject[tex]H_0[/tex], because it has the sample that not contradicts the manufacturer's claim

In point d:

For point 1:  

The value of p is 0.1880 , that is higher than the 0.05

For point 2:

Yes

18. Hoping to lure more shoppers downtown, a city


builds a new public parking garage in the central business


district. The city plans to pay for the structure through


parking fees. During a two-month period (44 weekdays),


daily fees collected averaged $126, with a standard


deviation of $15.

Answers

Answer:

The responses to these question can be described as follows:

Step-by-step explanation:

Please find the complete question in the attached file.

For the random condition:

If other regular fees have been chosen at random, I'd claim I'm satisfactory.

State of autonomy:

Truly content, since the 44 daily fees represent less than 10% of the total population of daily payments, the community must have more than 440 daily fees.

In the  Normal Condition:

Since the sample size of 44 is 30 or more, the distribution of the sample means is roughly Normal (as per the total probability theorem).

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