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

The circumference of each of the smaller circles is 12 mm. Find the area of the shaded region.​

Answers

Answer:

11.45mm^2

Step-by-step explanation:

Given data

Circumference= 12mm

The expression for the circumference is

C= 2πr

12= 2*3.14*r

12= 6.28r

r= 12/6.28

r= 1.91mm

Hence the area of each small circle is

A= πr^2

A= 3.14*1.91^2

A= 3.14*3.6481

A=11.45mm^2

Answer:

the answer is b. 72 pie mm squared

Step-by-step explanation:

edge 2021

Find the product. (5x + 6) (2x² - 7x2 + 2x - 3) (5x+6) (2x3 - 7x² + 2x - 3) = || (Simplify your answer.)​

Answers

Answer:

350x⁶+1360x⁵-1337x⁴-7618x³-5517x²+1620x+1836

can you solve this my teacher is so rude and she literally gave me a 40 cuz this answer was wrong​

Answers

Answer:

the answer should be -1

Step-by-step explanation:

-3 + (-2) + (-4) = -9

-9 + 4 = -5

-5 ÷ 5 = -1

Hope this helped :)

Answer:

-1 is your answer,

Step-by-step explanation:

first of all, add all those scores

-3 + 1 + -2 + -4 + 3 = -5

and for average, there is 5 rounds, so divide by 5

hence answer is -5 / 5 - = -1

The seventh grade class is putting on a verity shell to raise money it cost 1700 to rent the banquet hall That they are going to use. If they charge for $55 for each ticket, how many tickets do they need to sell in order to raise at least $2000 write an inequality that represents the situation.how many tickets do they need to sell?

Answers

Answer:

g

Step-by-step explanation:

The grades for 200 students at a middle school are represented in the graph below how many more students earned Cs then Ds

Answers

Answer:

B. 60

Step-by-step explanation:

There are a total of 200 students here, and 45% got Cs, to find how many got Cs, multiply 200 by 45%, or 0.45: 200*0.45 = 90, 90 people got Cs.

15%  got Ds, multiply 200 by 15%, or 0.15 to get 30, 30 got Ds

The amount who got Cs minus the amount who got Cs is 90 - 30 = 60, 60 more students got Cs than Ds

Which of the following describes the sequence
2, 9, 16, 23, ... ?

t = n + 7
t = 4n + 1
t = 7n - 5 J
t = n - 7

Answers

t = n + 7


Example:
t = (2) + 7
t = 9

t = (9) + 7
t = 16

t = (16) + 7
t = 23

An isosceles triangle has an angle that measures 122º. Which other angles could be in that
isosceles triangle?

26 / 29 / 58 / 38

Answers

Answer:

29

Step-by-step explanation:

2x + 122 = 180

2x = 180 - 122

2x = 58

x = 29

i need help asapppppppppppppppppppppppp

Answers

Answer:

unshaded

Step-by-step explanation:

Answer:

A black triangle

Step-by-step explanation:


CAN SOMOME PLEASE HELPPP!!

You rent an apartment that costs $1700 per month during the first year, but the rent
is set to go up 9% per year. What would be the rent of the apartment during the 12th
year of living in the apartment? Round to the nearest tenth (if necessary).

Answers

Answer:

$4386.70

Step-by-step explanation:

The rent will increase 11 times before the 12th year

Required equation:

$1700*(1 + 0.09)^11 = $4386.70 (rounded)

what is 3053.62805928 to the nearest cubic inch​

Answers

Answer:

3054

Step-by-step explanation:

When you round to the nearest unit, in this case inch, you need to look at the tenths place.

5 or more raise the score

4 or less, let it rest.

------------------------------------------

Since the number in the tenths place is a 6, it will bump up the number to a 3054.

Good Luck!

I-Ready you now and no Du..a.s...s. answers or links

Answers

Answer:

13/18

Step-by-step explanation:

The two negatives cancel out.

1/6 * 4 1/3 is 13/18, first turn 4 1/3 to 13/3.

Hope this helps

which of the following circles would have the same arc length of AB?​

Answers

Answer:

1st

length of arcAB=80/360×2π×4=16π/9

2nd

length of arcAB=45/360×2π×9=9π/4

3rd

length of arcAB=60/360×2π×6=2π

4th

length of arcAB=52/360×2π×7=13π/35

5th

length of arcAB=72°/360×2π×5=18π/25

6th

length of arcAB=90/360×2π×4=2π

your answer is 3rd and 6th.

Answer:

answer is the 3rd and the 6th hope it help

if olu spent 49.00 on textbook and victor spent 84.00 on maltina drink, find the ratio of the amount spent by olu and victor​

Answers

Answer:

The answer is 5:1

Step-by-step explanation:

What are the factors of 42 that have a sum of -17

Answers

Answer:

4x−5x−1

cos(x1−sin2(x)

Step-by-step explanation:

-14 and -3 are the two factors of 42 which has as a sum of -17

What are Factors of a Number?

Numbers that divide an original number evenly or precisely are known as its factors. A factor is a whole number that can divide a larger number in two equal parts. A factor is a number that divides another number, leaving no remainder

Given data ,

The number = 42

The number has both negative and positive factors

The factors of the number 42 are

The positive factors of 42 are 1 , 2 , 3 , 6 , 7 , 14 , 21 , 42

The negative factors of 42 are -1 , -2 , -3 , -4 , -6 , -7 , -14 , -21 , -42

Product of -14 and -3 = -14 x -3

                                   = 42

Sum of -14 and -3 = ( -14 ) + ( -3 )

                             = -17

Hence , -14 and -3 are the two factors of 42 which has as a sum of -17

To learn more about factors click :

https://brainly.com/question/2216454

Find the surface area and the volume, help me pretty please

Answers

Answer:

The surface area is 13.08 and the volume is 3.14

Step-by-step explanation:

What percent of 12 is 48?

Answers

It would be 25% I believe

Answer: 25%

Step-by-step explanation:

its a function or not fuction?​

Answers

answer:

it's a function

step-by-step explanation:

according to g00gle- in mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. typical examples are functions from integers to integers, or from real numbers to real numbers.

but the simple definition is that a function is when the x value isn't being repeated. and since in your case it isn't, the table is a function

another way to solve-

for this, we will put the pairs into a graph then perform the line test-

as you can see each point has its own individual line, therefore, meaning it passed the vertical line test

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

the answer is x3

11x3=33

5x3=15

multiply by 3 on all of them    

mark brainliest plz

Someone please help me
Solve 6a + 5a= -11

Answers

Answer:

hi

Step-by-step explanation:

6a+5a= -11

11a= -11

a= -11/11

a= -1

hole it helps

have a nice day

f(x)=x^2-3x+2 find f(2)

Answers

Answer:

[tex]y=x^{2} -3x+2[/tex]

Step-by-step explanation:

Give me Brainllest plz T-T

Answer:

0

Step-by-step explanation:

What is the area of this problem below

Answers

Answer:

Therefore the area of the rectangle is

[tex]525in^{2} [/tex]

A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a spade?

Answers

Answer:

Probability of ace of spades [tex]\frac{1}{52}[/tex]

probability of any spade card [tex]\frac{13}{52}[/tex]

Answer:

1/28

Step-by-step explanation:

Help me plsss with this problem i took a screen shot.

Answers

Answer:

x - 15 ≤ -6

+15     +15

X = 9

whowever answers any 2 I will follow them​

Answers

Answer:

1. x = 5 y = 6

2. x = 3 y =5

3. x = 2 y = 4

4. x = 2 y = 1/2

5. x = 6 y = 4

6. x = 2 y = 1

Step-by-step explanation:

i hope it helps u

find the product. write your answer in exponential form. 1^-7*1^3​

Answers

you first eliminate the same base and bring down the exponents

-7 . 3

-7×3

= -21

Write an equation to match this graph. I WILL GIVE BRAINLIEST, PLEASE HELP!

Answers

Answer:

f(x) = -|x| + 1.

Step-by-step explanation:

You get this by inverting the graph of  f(x) = |x| then moving it up 1 unit.

f(x) = -|x| + 1.

By invert I mean reflect in the x-axis.

Answer:

f(x) = -|x| + 1.

Step-by-step explanation:

What is 5 11/10 simplified

Answers

Answer:

61/10 or in decimal form 6.1 or 6 1/10

Step-by-step explanation:

According to historical data, it is believed that 12% of American adults work more than one job. To investigate if this claim is still accurate, a random sample of 100 American adults is selected. It is discovered that 18 of them work more than one job. A researcher would like to know if the data provide convincing evidence that the true proportion of American adults who work more than one job differs from 12%. What are the values of the test statistic and P-value for this test?

Find the z-table here.

z = 1.85, P-value = 0.0322
z = –1.85, P-value = 0.0322
z = 1.85, P-value = 0.0644
z = –1.85, P-value = 0.0644

Answers

Answer:

Well i know its not b or a so stay away from those answers anyone else know?

Step-by-step explanation:

A label is placed around the juice box below, not including the bases. Determine the surface area of the label

Answers

Answer:

3 In²

Step-by-step explanation:

Talking about surface area, the total area of an object is taken into consideration.

NB: Kindly check the attached picture for the diagram of the 3D object.

In this question, the surface area has to be determined and we will have to take into consideration all the area of the 3D object given in the question.

Surface Area = 6 × k².

Surface area = 6 × ( 1.8 × 1.8) cm².

Surface Area = 19.44 cm².

The next thing to do here is to convert the cm² to in². Therefore, 19.44 cm² ------>  x in².

19.44 × 0.155 in² = 3 in².

A coat at a store is originally priced at $54.99. The store marks the price down to $32.99. To the nearest percent, what is the percent markdown of the coat?

Answers

Answer:

66.6%

Step-by-step explanation:

Step one

given

A coat at a store is originally priced at $54.99

The store marks down the price down to $32.99

Required

the percent decrease

Step two:

the percent decrease= change in price/ old price*100

the percent decrease= 54.99-32.99/54.99*100

the percent decrease= 22/ 32.99*100

the percent decrease= 0.666*100

the percent decrease= 66.6%

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