A line passes through $A(1,1)$ and $B(100,1000)$. How many other points with integer coordinates are on the line and strictly between $A$ and $B$

Answers

Answer 1

Answer:

8

Step-by-step explanation:

Integers are whole numbers or opposite of whole numbers.

The slope is 111/11.

How?

Change of y is 1000-1=999.

Change of x is 100-1=99.

The slope is 999/99=111/11.

So if we start at (1,1) and we rise 111 and run 11 right, we get (12,112).

*Rise effects y and run effects x.

If we do that again from (12,112) we get (23,223).

Following the pattern of going up 111 and right 11 from each new location discovered we get all the of these points:

Start (1,1)

(12,112)

(23,223)

(34,334)

(45,445)

(56,556)

(67, 667)

(78, 778)

(89, 889)

(100, 1000) which is the end.

So we just need to count tthe points between begin point and end point which is 8 points.


Related Questions

2b + y = 15 is this an expression?

Answers

Answer:

No, it's not.

Step-by-step explanation:

2b + y = 15 is not an expression because it's an equation containing an equal sign. An expression cannot include inequality signs or equal signs.

Answer:

Step-by-step explanation you do the inverse which is subtraction and you get y

2-2=0 15-2=13 y=13

Area of a triangle is 36cm the height is 3 cm whats the base

Answers

Answer:

24 cm

Step-by-step explanation:

area of triangle = (b x h)/2

36 / 3 = 12

12 x 2 = 24 (multiplied because we do the inverse)

to check:

24 x 3 = 72

72 / 2 = 36

If you need further help, let me know!

- profparis

solve pls brainliest

Answers

Both fractions have the same denominator so you just need to subtract the numerators:

14-4 = 10

They had 10/15 left.

This can be simplified to be 2/3

Answer: they had 2/3 pounds left.

Answer:

2/3 pounds left

Step-by-step explanation:

10/15 pounds left because

14/15 - 4/15 = 10/15

10/15 = 2/5

A brainliest would be appreciated if this helped you! :)

- profparis

Be sure to express answers with positive exponents
(B^3)^2

Answers

Answer:

b[tex] {}^{6} [/tex]

Step by Step Solution

STEP 1:

1.1 b[tex] {}^{3} [/tex]raised to the 2 nd power = b([tex] {}^{( 3 * 2 )} [/tex]= b[tex] {}^{6} [/tex]

Final result :

b[tex] {}^{6} [/tex]

Geometry help would be greatly appreciated.

Answers

we hat is the measure of ABC Is15

How many times greater than 6 x 10^6 is 2.4 x 10^8 ? Show ur work

Answers

Answer:

40 times greater

Step-by-step explanation:

6 x 10^6 = 2.4 x 10^8

6 x 1000000 = 2.4 x 100000000

6000000  =  240000000

240000000 / 6000000

= 40

I hope this helps <3

Rationalise 5 divide by square root of 12

Answers

Answer:

  (5√12)/12

Step-by-step explanation:

In general, 1/√a can be rationalized as (√a)/a. That is the denominator can be multiplied by the square root of the same number to rationalize it. The numerator needs to be multiplied by the same square root.

 [tex]\dfrac{5}{\sqrt{12}}=\dfrac{5}{\sqrt{12}}\cdot\dfrac{\sqrt{12}}{\sqrt{12}}=\boxed{\dfrac{5\sqrt{12}}{12}}[/tex]

Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub. What is the area of the cover? Use Pi = 3. 14 and round the answer to the nearest square foot. Ft2.

Answers

She needs to purchase a cover to protect the hot tub of an area of 38.5 square feet.

What is a circle?

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub.

The area of the circle is given by

[tex]\rm Area = \dfrac{\pi}{4}d^2[/tex]

We have d = 7 ft, then the area of the circle will be

[tex]\rm Area = \dfrac{3.14}{4}*7^2\\\\Area = 38.5 \ ft^2[/tex]

More about the circle link is given below.

https://brainly.com/question/11833983

Please help with homework.
My question is:
[tex](x+7)^{4}[/tex]
Help ASAP! Please! :(

Answers

Answer:

[tex]\huge\boxed{ \sf x^4+28x^3+294x^2+1372x+2401}[/tex]

explanation:

[tex]\sf (x+7)^4[/tex]

[tex]\hookrightarrow \sf (x+7) (x+7) (x+7) (x+7)[/tex]

[tex]\hookrightarrow \sf (x^2 +14x+49)(x+7)(x+7)[/tex]

[tex]\hookrightarrow \sf (x^3 +14x^2+49x+7x^2+98x+343)(x+7)[/tex]

[tex]\hookrightarrow \sf (x^3 +21x^2 +147x +343)(x+7)[/tex]

[tex]\hookrightarrow \sf x^4 + 21 x^3 + 147x^2 + 343x + 7x^3 + 147x^2 + 1029x+ 2401[/tex]

[tex]\hookrightarrow \sf x^4+28x^3+294x^2+1372x+2401[/tex]

note: just keep multiplying and simplifying with patience.

[tex](x + 7)^{4} [/tex]

Write 4 as a sum

[tex] {(x + 7)}^{2 + 2} [/tex]

Use [tex] \boxed{ \pmb{ {a}^{m + n} = {a}^{m} \times {a}^{n} }}[/tex] to expand the expression

[tex] {(x + 7)}^{2} \times {(x + 7)}^{2} [/tex]

Use [tex] \boxed{ \pmb{(a + b)^{2} = {a}^{2} + 2ab + {b}^{2} }}[/tex] to expand the expression

[tex] ( {x}^{2} + 14x + 49) \times ( {x}^{2} + 14x + 49)[/tex]

Multiply the parentheses

[tex] {x}^{4} + 14 {x}^{3} + {49x}^{2} + 14 {x}^{3} + {196x}^{2} + 686x + {49x}^{2} + 686x + 2401[/tex]

Collect like terms

[tex] {x}^{4} + {28x}^{3} + {294x}^{2} + 1372x + 2401[/tex]

Alberto's monthly income is $3,200.Part of Alberto's monthly budget is shown in the table. what percentage og Alberto's income is used to pay for his rent and groceries? ​

Answers

The percentage of Alberto's income that is used to pay for his rent and groceries is 40%.

How to calculate the percentage

Amount for rent = $896

Amount for groceries = $384

Total amount = $1280

Therefore, the percentage of Alberto's income that is used to pay for his rent and groceries will be:

= 1280/3200 × 100

= 0.4 × 100

= 40%

Learn more about percentages on:

https://brainly.com/question/24304697

Answer

40% of Alberto's income is used to pay rent and goceries.

Step-by-step explanation:

1. Add his rent and goceries....

2. =$1280

3.Divide: 1280/3200

4.=0.4

5. 0.4x100

6. =40%

Please help me with my homework needs to be done ​

Answers

Answer:

13. i dint understand

14. 9

15. (D)

16. (C)

17. I guess (A)

Step-by-step explanation:

Hope it helps!!!

5) Sabiendo que cada barril de petróleo contiene 159 Litros. Averigua:
a) La cantidad de litros que se estima fueron derramados (plantea los cálculos).

b) El costo en dinero que perdió el buque petrolero si cada barril en Uruguay vale $ 3513

(plantea los cálculos).

Answers

Answer:

4/8

Step-by-step explanation:

3 more than the quotient of 18 and x

Answers

Answer:

18/x + 3

Step-by-step explanation:

This can be written algebraically as 18/x +3. This question is a little unclear, but I think it’s asking to write it as an equation

Please help ASAP first correct answer will get brainleist​

Answers

Answer:

13.6125 kg

Step-by-step explanation:

luggage weight = 9/16 of weight limit

=9/16×24.2 kg

=13.6125 kg

Please mark my answer brainliest

[tex]\tt \dfrac{9}{16}\times 24.2=13.6125=13.61~kg[/tex]

Bruce is inches taller than Tim. If Bruce is inches​ tall, what is the best estimate of​ Tim's height? Question content area bottom Part 1 Tim is about    enter your response here inches tall. ​(Type a whole​ number, fraction, or mixed​ number. )

Answers

i believe Tim and Bruce are taller than each other therefore the answe is 1/2

A survey of teachers in a school found that 7% of teachers use mobile applications for study activities.

What decimal number represents the percentage of surveyed teachers who use mobile applications for study activities?

OA. 7. 00

OB. 0. 07

OC. 7. 07

OD 0. 70

Answers

Answer:

Option C(0.07) is the correct answer.

C is the correct answer

can you put 2x-y=7 into y equals

Answers

Subtract 7 from both sides 2x-y-7=0

Then add y to both sides 2x-7=y

Answer:

y = 2x - 7

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

2x - y - 2x = 7 - 2x-y = -2x + 7

Step 2: Divide both sides by -1.

-y/-1 = (-2x + 7)/-1y = 2x - 7

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Common ratio is 4

means each time the sequence becomes 4times more

Check B

1(4)=44(4)=16

Check D

2(4)=88(4)=32

Yes, Option B and D are correct

Calculate the Volume and surface area

Answers

Answer:

volume= 1040

surface area=696

Step-by-step explanation:

1/2x 13x10x16

=1040#

(1/2x12x10)2

=120

(16x13)2

=416

16x10

=160

120+426+160

=696#

find the missing side length

Answers

Answer:

n = 5

Step-by-step explanation:

it is stated that the two triangles are similar so we can use the similarity ratio to find the value of n:

RQ/BA = QR/AC

n/2 = 10/4 cross multiply expressions

4n = 20 divide both sides by 4

n = 5

Which of the following is the graph of f(x) = x 3?



Click on the graph until the correct graph appears.

Answers

Step-by-step explanation:

I assume you meant to type f(x) = x³

Graph the function into desmos (or calculator if you have a graphing calculator)

Two numbers multiply together to give -20 and add together to give – 1.
What are the two numbers?

Answers

Answer:

-5x4=-20

Step-by-step explanation:

and also

-5 + 4 = -1

so -5 and 4

Please solve this

NO LINKS

Answers

Answer:

The answer is A

Step-by-step explanation:

Point F just has to go right 1 and down 5 to get to the point (-1,0)

Hope this helped

70 points! please help~~!

Answers

Answer:

All you have to do multiply the length by width and you'll find your answer

Step-by-step explanation:

Really hope it help

Which of the following is NOT a result of water being a polar molecule? A. a slight negative charge on the oxygen B. a slight positive charge on the hydrogens C. the water molecules stick together because of their opposite charges D. some substances must dissolve into water to move into and out of a cell​

Answers

The option (D) some substances must dissolve into water to move into and out of a cell​ is not a result of water being a polar molecule

How to determine the false option?

The water molecules contains

Oxygen atomsHydrogen atoms

The oxygen atoms have a slight negative charge, while the hydrogen atoms have a slight positive charge.

Because of the opposite charges in water (i.e. negative charge in oxygen and positive charge in hydrogen), the water molecules stick and stay together.

Hence. option (D) is not a result of water being a polar molecule

Read more about polar molecules at:

https://brainly.com/question/545359

If BCDE is congruent to OPQR, then DE is congruent to _______.

Answers

QR

Reason:

Imagine creating a rectangle with

B———C And O———P
| | | |
D———E Q———R

You can see that line QR is the congruent (the same size) as line DE.

Answer:

QR

Step-by-step explanation:

If two shape are congruent, it means they have equal corresponding sides and angles. You can find which ones are corresponding to each other by where the letters are placed in the shapes given name.

For example, given: BCDE & OPQR

BC = OP

CD = PQ

DE = QR

Notice that DE is the 3rd and last letter in BCDE

QR is also the 3rd and last letter of OPQR

Find the value of x for which ABCD must be a parallelogram.

Answer options:


5


3


17


34

Answers

Answer:

Opposite sides of the parallelogram are equal :

→ BC = AD

→ 5x - 8 = 2x + 7

→ 5x - 2x = 7 + 8

→ 3x = 15

→ x = 15/3

x = 5

Therefore, the value of x is 5.

How many sides does a regular polygon have if each interior angle measures 165

Answers

Answer:

24 sides

Step-by-step explanation:

Piecewise function question please help!

Answers

Answer:

b

Step-by-step explanation:

We know we are trying to find an inverse function and the normal function of the first part would be (x+7)²-5, so we can eliminate all equations with an equation starting with  (x+7)²-5. So, a and f are out of the scope.

The domain of the inverse function will be the range of the normal function.

So, the range of the first part of the inverse function is -5 < x < -3 which is the domain of the normal function. Now, we can eliminate c, d, and e.

Our answer must be b.

Answer:   Choice B

=====================================================

Explanation:

The endpoint (-7,-5) reflects over the line y = x when forming the inverse. It will reflect to (-5,-7). The x and y coordinates swap.

The new point (-5,-7) forms the vertex of a piece of a parabola. Since it's the vertex, we have something of the form y = a(x+5)^2 - 7 which matches with choices B and D.

However, we can rule out choice D because the interval is not x < -3. Try out a point like x = -100 and it will make x < -3 true, but -100 is definitely not part of the reflected parabola formed. Instead, we must have -5 < x < -3 as the domain of the inverse.

Notice how the range of the square root portion on the left is -5 < y < -3. The range of the original function forms the domain of the inverse, and vice versa. Effectively, all we're doing is replacing y with x when going from -5 < y < -3 to -5 < x < -3.

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

Also another reason we can rule out choice D is to see that something like x = -2.5 will make log(x+2) to result in a non-real number. This is due to the fact that the domain of log(x) is x > 0. So the domain of log(x+2) is x > -2.

the height of a cone is 16 cm and its base radius is 12 cm. find the curved surface area and the total surface area of the cone​

Answers

Answer:

A≈1206.37 cm²

Step-by-step explanation:

Radius = 12

Height = 16

Using the formulas

A= πrl+πr²

l = √r²+h²

A=πr(r + √h²+r²)=

π·12·(12+√16²+12²) ≈1206.37158cm²

Given :

The height of a cone is 16 cm.Its base radius is 12 cm.

To Find :

The curved surface area of the cone. The total surface area of the cone.

Solution :

h = 16 cmr = 12 cm

Here,

h is denoted as height. r is denoted as radius.

So, from l² = h² + r², we have :

The slang height of the cone is represented by l.

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ {h}^{2} + {r}^{2} \: }cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ {(16)}^{2} + {(12)}^{2} \: }cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ 256 + 144 } \: cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ 400} \: cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: \bf l = 20 \: cm }}[/tex]

So, Curved surface area = [tex] \pi{rl}[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3.14 \times 12 \times 20 \: {cm}^{2} }

[/tex]

[tex]{\qquad \bf \dashrightarrow \: 753.6 \: {cm}^{2} }

[/tex]

Further, total surface area = [tex] \pi{rl} + \pi{ {r}^{2} }[/tex]

[tex]{\qquad \sf \dashrightarrow \: (753.6 + 3.14 \times 12 \times 12 )\: {cm}^{2} }[/tex]

[tex]{\qquad \sf \dashrightarrow \: (753.6 + 452.16 )\: {cm}^{2} }[/tex]

[tex]{\qquad \bf \dashrightarrow \: 1205.76 \: {cm}^{2} }[/tex]

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