Find the equation of a line that contains the points (2,1) and (8,7). Write the equation in slope-intercept form.

Answers

Answer 1

Answer:

y = x - 1

Step-by-step explanation:

First find the slope. Subtract the y's and put that on top of a fraction. Then subtract x's and put that on the bottom. Simplify if possible.

7-1 is 6 goes on top.

8-2 is 6 goes below.

6/6 is 1 when simplified.

Slope is 1.

Slope-intercept form is y = mx + b.

m is slope, so fill that in.

y = (1)x + b

Now we need to find b.

Use either one of the given points; they will give you the same answer no matter which one you choose. Let's use (2,1) because smaller numbers.

y is 1 and x is 2.

y= (1)x + b

1 = (1)2 + b

1 = 2 + b

-1 = b

Now fill in both m and b. Leave x and y as letters (variables)

y = (1)x + -1

Final answer:

y = x - 1

Related Questions

>> The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the
same price, d.
Which model represents the situation?
10
d
d
d
19
.) What is the price of one drink?
d
?

Answers

Answer:

d = 3

Step-by-step explanation:

According the figure:

10 + d + d + d = 19d = 3

Answer Check Below:

⇒ 10 + 3 = 13

⇒ 13 + 3 = 16

⇒ 16 + 3 = 19

Therefore, d = 3.

Answer:

Step-by-step explanation:

⇒ 10 + 3d = 19 is represented by the figure⇒ 3d = 9⇒ d = 3The price of one drink is $3

100 Points ! ! !
Exploiting points will be reported.

Brain deposited $9,824 into a savings account for which interest is compounded daily at a rate of 3.62%. How much interest will he earn after 8 years?

SHOW WORK AND WILL GIVE BRAINLIST

Answers

$3299.62

compounded daily interest : [tex]\sf A = P(1 + \dfrac{r}{n})^{nt}[/tex]

[tex]\sf 9,824.00(1 + \dfrac{3.62\%}{365})^{(365)(8)}[/tex]

[tex]\sf \$13,123.62[/tex]

total money he will have : $13,123.62

amount earned : $13,123.62 - $9,824 = $3299.62

Answer:

Interest = $3,299.64 (nearest cent)

Step-by-step explanation:

Compound interest formula: [tex]\sf I=P(1+\frac{r}{n})^{nt}-P[/tex]

where:

I = total interest earned over time periodP = initial principal balancer = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Given:

P = $9,824r = 3.62% = 0.0362n = 365t = 8 years

Substituting given values into the formula and solving for I:

[tex]\sf \implies I=9824(1+\frac{0.0362}{365})^{365 \times8}-9824[/tex]

[tex]\sf \implies I=13123.62461-9824[/tex]

[tex]\sf \implies I=3299.62 \ (nearest \ hundredth)[/tex]

The number 1 is a factor of _________.
A) all odd numbers
B) all even numbers
C) all whole numbers

Answers

Answer:

The number 1 is a factor of C)all whole numbers.

hello!

1 is a factor of all whole numbers.

Every single number, including odd numbers and even numbers, is divisible by 1 (evenly, without any remainders)

Remember, whole numbers include odd numbers, even numbers, and 0.

note:-

Hope everything is clear; if you need any more explanation and/or clarification, kindly let me know, and I will comment and/or edit my answer.

I need help on my work or I get 0 percent

Answers

Answer:

B and E

Step-by-step explanation:

E is 3/4 8 times (this is just simple multiplication) and B is 3/4 8 times just shorter. Simplified if you will.

what is the volume of a oblique cylinder with the height of 6 cm and a 4 cm as the radius of its base

Answers

Answer :

301.44 cm³

⠀

Explanation :

We know,

[tex]{ \longrightarrow \qquad\pmb {\boldsymbol{ Volume_{(cylinder)} = \pi {r}^{2} h \: }}}[/tex]

Where,

r is the radius of the cylinder. Here, the radius is 4 cm

h is the height of the cylinder. Here, height is 6 cm

Here, we will take the value of π as 3.14 approximately .

⠀

Substituting the values in the formula :

⠀

[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times ({4})^{2} \times 6 \: }}}}}[/tex]

⠀

[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times 16\times 6 \: }}}}}[/tex]

⠀

[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times 96 \: }}}}}[/tex]

⠀

[tex]{ \longrightarrow \qquad{ \ { \it{ \pmb{ Volume_{(cylinder)} {= 301.44 \: }}}}}}[/tex]

⠀

Therefore,

The volume of the cylinder is 301.44 cm³ approximately.

Formula for the volume of an oblique cylinder

To calculate the volume of an oblique cylinder is very simple, we must multiply π (Pi = ~ 3.14) by the radius to the power of two and then multiply by the height.

3.14x4^2=50.24
50.24x6=301.44
V=301.44
Hope it helps :)

Write the product as a product of a whole number and a unit fraction
3 * 3/8

Answers

Answer:

9/8 or 1 1/8

Step-by-step explanation:

3*3/8

3/1*3/8

numerator times numerator and denominator times denominator:

3×3/1*8 = 9/8 or 1 1/8

Carrie ate some of the oranges that her mother brought home from the grocery store. Of the oranges her mother brought 1/4 were left over. Shyla,Carrie's sister ate 2/5 of the oranges that were left over. What fraction of the oranges did shyla eat?

Answers

Answer:

3/5

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

We can put an actual number to this just for easier purposes

So let's say there was 100 oranges at the grocery store

Mom brought home 1/4 which is 25 oranges

100 * [tex]\frac{1}{4}[/tex] = 25

So now we have 25 oranges

Then, Shyla ate 2/5 of the oranges

So we want 2/5 of the 25 left oranges

25 * [tex]\frac{2}{5}[/tex] = 10

And 10 out of 100 is:

1/10

The easier way to do it is to just multiply the fractions together:

[tex]\frac{1}{4} * \frac{2}{5} = \frac{2}{20} = \frac{1}{10}[/tex]

If you have any questions feel free to comment and if this helped a brainliest would be appreciated :)

HELP!!
what is 23x+(4-5b)

Answers

Answer:

just remove the bracket and write normally so it's 23x+4-5b

Step-by-step explanation:

if you meant something else then let me know

if 60% of class is girls, and there are 30 students in the class. How many boys are in class?

Answers

Answer:

Step-by-step explanation:

60% of 30 is 18 (girls)

40% of 30 is 12 (boys)

Answer:

12 boys

Step-by-step explanation:

60% is the same as 6/10, and if you make the denominator 30, you must make the denominator multiply by three as well as the numerator. this makes the number 18/30 girls in a class. if you subtract the girls from the total number of people, you get 12 boys, or 40% of the class.

you can also find that 100% - 60% = 40%, which is equal is equal to 4/10. After it's multiplied by 3 again, it becomes 12/30 or 12 boys.

How to be good at math???

Answers

Answer:

Step-by-step explanation:

To get good at math is to pay attention to the formulas and quiz yourself with what ever your learning over and over until you get it.

Practice, ask questions, pay attention to all the small details.

I think the best place to start would be algebra, I’ve used it in every math class since passing, and it would actually be useful in the real world.
Khan academy is one of the best resources available, they have videos on pretty much any math topic.
You watch a video, then do a few practice problems, and if you need help with the problems there’s a button that shows you the entire problem solving process. You can review and practice as much as you need, and then at the end of each topic they have a practice quiz.

Besides that I think math homework is a great way to get better. If you make mistakes on the homework you will loose less points than if you make mistakes on the test/quiz. Also, going over your mistakes is key.

If you haven’t had any good math teachers it can be very hard to learn these topics, but take it at your own pace.
With math you have to understand before you move on, or else it’s like trying to read words without knowing the alphabet.
Keep practicing, you can do it!

255, 250, 245, ...
Find the 40th term.

Answers

Answer:

so here we minus 5 from 255 to get to 250 and we do it again to get to 245. for reaching the 40th term we should do it 39 times.

so, 255+ (-5) (39) = 255 - 195 = 60

which is our 40th term.

The 40th term of (255, 250, 245...) is 60.

What is arithmetic progression ?The difference between any two successive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence. For instance, the natural number sequence 1, 2, 3, 4, 5, 6,... is an example of an arithmetic progression. It has a common difference of 1 between two succeeding terms (let's say 1 and 2). (2 -1). We can see that the common difference between two subsequent words will be equal to 2 in both the case of odd and even numbers.There are three distinct progression kinds. As follows:Mathematical Progress (AP)Graphical Progress (GP)Rhythmic Progress (HP)It is feasible to find a formula for the nth term for a certain kind of sequence called a progression. The most popular mathematical progression, with simple formulas, is the arithmetic progression.

Calculations :

The formula to find the nth term = [tex]a_{n}[/tex] = -5n + 260

= [tex]a_{40}[/tex] x 5n = 260

= 260 - 200 = 60

Learn more about Arithmetic progression refer :

https://brainly.com/question/24191546

#SPJ2

Answer both Question 11 and 12. I will make Brainelist + 50 points

Answers

Answer:

#11. i) 5, ii) 6, iii) - 4, iv) 6#12- see below

Step-by-step explanation:

#11

Given equation for sum of the first n terms

[tex]S_n=7n-2n^2[/tex]

Using the equation solve the following

The first term [tex]t_1[/tex], is same as the sum of the first 1 term, so n = 1

[tex]t_1=S_1=7(1)-2(1)^2=7-2=5[/tex]ii)

Sum of the first 2 terms, when n = 2

[tex]S_2=7(2)-2(2)^2=14-8=6[/tex]iii)

Common difference is the difference between two consequitive terms.

First, find the second term:

[tex]t_2=S_2-t_1=6-5=1[/tex]

Now find the difference between the first two terms:

[tex]d=t_2-t_1=1-5=-4[/tex]iv)

We need to find such n that [tex]S_n[/tex] = - 30

[tex]7n - 2n^2=-30[/tex][tex]2n^2 - 7n-30=0[/tex][tex]2n^2-12n+5n-30=0[/tex][tex]2n(n-6)+5(n-6)=0[/tex][tex](n-6)(2n+5)=0[/tex][tex]n=6[/tex] is the only positive root

So the answer is 6

#12

Simplifying in steps as below

a) i)[tex]\dfrac{5}{y-3} +\dfrac{2}{3-y}=[/tex][tex]\dfrac{5}{y-3}-\dfrac{2}{y-3}=[/tex][tex]\dfrac{5-2}{y-3}=[/tex][tex]\dfrac{3}{y-3}[/tex]ii)[tex]\cfrac{1}{m+3} +\cfrac{2m}{m^2-9} =[/tex][tex]\cfrac{1}{m+3} +\cfrac{2m}{(m-3)(m+3)} =[/tex][tex]\cfrac{m-3}{(m-3)(m+3)}+\cfrac{2m}{(m-3)(m+3)} =[/tex][tex]\cfrac{m-3+2m}{(m-3)(m+3)} =[/tex][tex]\cfrac{3m-3}{(m-3)(m+3)}[/tex]

SOMEONE PLSSSSSS HELP ME SOLVE THIS FAST
I WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

I calculated the area for 54 feet and then for 0.5 feet using the equation [tex]A=\sqrt{\frac{3}{4} }a^{2}[/tex] , where a is the size and then divided first area by second area

pieces of chalk are stacked in a pile. part of the pile is shown. the bottom row has 15 pieces of chalk, and the top row has 6 pieces of chalk. each row has on less piece of chalk than the row below it. how many pieces of chalk are in the pile?

Answers

To answer the question, you need to count backwards from 15 to 6 and add up the pieces of chalk. 15+14+13+12+11+10+9+8+7+6=105. That means there are 105 pieces of chalk in the pile. Hope this helps.

which pair of pairs of polygons are congruent.

Answers

Answer:

bottom left. (arrow shaped)

Step-by-step explanation:

congruent shapes are the same size and shape

A 2-pack of clay pots costs $9.30. What is the unit price?

Answers

Answer:

$4.75

Step-by-step explanation:

To find the unit price (price for one), just divide $9.30 by 2. You get that one clay pot (the price for one unit) is $4.75.

Hopefully this helps- let me know if you have any questions!

Jackie wants to meet up with her friend who lives 3 miles away and bring him the cookies she baked. she and her friend start moving toward each other at the same time. Jackie's walking speed is 3mph, and her friend's biking speed is 12mph. 4 minutes after Jackie left the house, her mom notices that she forgot the cookies on the kitchen table. She sends Jackie's brother to bring them to Jackie. How fast should Jackie's brother travel to catch up with Jackie before she meets her friend?

Answers

Answer:

First, find the time when Jackie and her friend meet.

Using:

[tex]\sf s=ut+\dfrac12at^2[/tex]

where:

s = displacementu = initial velocitya = accelerationt = time (in hours)

Jackie and her friend are not accelerating, so a = 0, which means the formula can be reduced to:

[tex]\sf s=ut[/tex]

Create equations

Jackie: [tex]\sf s_1= 3t[/tex]

Friend: [tex]\sf s_2 = 12t[/tex]

As the distance covered by Jackie and her friend at the time they meet equals 3 miles:

[tex]\sf s_1+s_2=3 \ miles[/tex]

[tex]\sf \implies 3t + 12t = 3[/tex]

[tex]\sf \implies 15t = 3[/tex]

[tex]\sf \implies t = 0.2 \ hr[/tex]

[tex]\sf \implies t=0.2 \times 60=12 \ mins[/tex]

Therefore, they meet 12 mins after they both start moving.

3 mph = 3 ÷ 60 = 0.05 miles per min

12 mph = 12 ÷ 60 = 0.2 miles per min

Therefore,

Jackie traveled: 0.05 x 12 = 0.6 miles

Her friend traveled: 0.2 x 12 = 2.4 miles

when they meet.

To find the speed Jackie's brother must walk to catch up with her at the same time she meets her friend, use s = 0.6 miles (as this is the distance Jackie walked) and t = 12 - 4 = 8 mins (since he left 4 mins after Jackie left):

[tex]\sf s=ut[/tex]

[tex]\sf \implies u = \dfrac{s}{t}[/tex]

[tex]\implies \sf u = \dfrac{0.6}{8}[/tex]

[tex]\implies \sf u = 0.075 \ miles \ per \ min[/tex]

[tex]\sf \implies u = 0.075 \times 60 = 4.5 \ mph[/tex]

So Jackie's brother needs to walk faster than 4.5 mph to catch up with Jackie before she meets her friend.

(If he walks at 4.5 mph, he will catch up to Jackie at the instant she meets her friend. If he walks slower than 4.5 mph, he will not catch up with Jackie before she meets her friend).

find measure of the missing angles and justify your answer with postulates and theorems.

Answers

Answer:

Step-by-step explanation:

Please solve the first three question with explanation

Answers

Answer:

first one is b, second one is c

Step-by-step explanation:

3-4x<=11

-4x<=11-3

-4x<=8/:(-4)

x>=-2

how do i solve this and what’s there answer?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer♪}}[/tex]

If the given triangles are congruent, then their corresponding sides are equal as well ~

So, let's use this condition

[tex]\qquad \sf \dashrightarrow \:2y + 5 = 3y + 2[/tex]

[tex]\qquad \sf \dashrightarrow \:3y - 2y = 5 - 2[/tex]

[tex]\qquad \sf \dashrightarrow \:y = 3[/tex]

and

[tex]\qquad \sf \dashrightarrow \:2x + 7 = 15[/tex]

[tex]\qquad \sf \dashrightarrow \:2x = 8[/tex]

[tex]\qquad \sf \dashrightarrow \:x = 4[/tex]

What is 4/3 + 2/11? Simplest form but as a fraction

Answers

Answer:

50/33 is the answer that needs to written. Yes this is the simplest form.

Answer:

50/33

Here you go

A pair of flip flops cost $30. How much will they cost after a 20% discount and 6.5% tax?

Answers

Answer: 22.44$

Step-by-step explanation:

1. 30 x 0.20 = 6

2. 30 - 6 = 24

3. 24 x 0.065 = 1.56

24 - 1.56 = 22.44$

Can you find the missing side length?

Answers

Step-by-step explanation:

you need to calculate all the sides that are given to get the other side

It seems like they have shown you how to calculate so give it a try

This figure represents a flower box.

How much soil will it take to fill the flower box?

Enter your answer in the box.

in³
Three-dimensional figure that could be formed by placing two rectangular prisms together to form an L shape where the longer part of the L is on the bottom and the shorter part of the L extends up from the left side. The longer part of the L has a length of 20 inches, a width of 9 inches, and a height of 9 inches. The shorter part of the L extends 10 inches above the longer part of the L and has a length of 5 inches.

Answers

Answer:

The Answer Is 2200in^3

Step-by-step explanation:

I Took The Test And Got It Right

Which expressions are equivalent to 10/10^3/4?

Answers

[tex] \frac{10}{10 {}^{ \frac{3}{4} } } = 10 {}^{1 - \frac{3}{4} } = 10 { }^{ \frac{4 - 3}{4} } [/tex]

[tex]10 {}^{ \frac{ 1}{4} } [/tex]

Answer: B and D

Step-by-step explanation:

Edge 2023

Find the surface area of the cone. Use 3.14 for it.
The surface area is about in.2.
look at the picture ⬇️⬇️⬇️

Answers

Answer: 1570 square inches

This value is approximate since pi = 3.14 is approximate.

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

Work Shown:

r = radius = diameter/2 = 20/2 = 10 inches

L = slant height = 40 inches

SA = surface area of the cone

[tex]\text{SA} = \pi*r^2 + \pi*r*L\\\\\text{SA} = \pi*10^2 + \pi*10*40\\\\\text{SA} = \pi*100 + \pi*400\\\\\text{SA} = 100\pi + 400\pi\\\\\text{SA} = (100+400)\pi\\\\\text{SA} = 500\pi \text{ ... exact surface area in terms of pi}\\\\\text{SA} \approx 500*3.14\\\\\text{SA} \approx 1570\\\\[/tex]

The surface area of the cone is approximately 1570 square inches.

We can abbreviate "square inches" into [tex]\text{in}^2[/tex]

If you want to get a more accurate surface area value, then use more decimal digits of pi.

Need help picture below

Answers

Qps is the answer as the arc has full rotated and touched from q p and s

3(2x + 1) = 7x-2
What is x

Answers

Answer:

x=-5

Step-by-step explanation:

3(2x+1)=7x-2

6x+3=7x-2

6x-7x=-2-3

x=-5

3(2x + 1) = 7x-2

3*2x+3*1=7x-2

6x+3=7x-2

6x-7x=-3-2

-1x=-5

x=5

In the adjoining figure, the parallel lines are marked by arrow lines. The value of angle 1 is:

Answers

Answer:

20°

Step-by-step explanation:

40°, 70° and 90° are the measures of the three angles of the quadrilateral.

Measure of fourth angle of the Quadrilateral

= 360° - (40° + 70° + 90°)

= 360° - 200°

= 160°

Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.

Thus,

[tex]m\angle 1 = 180\degree- 160\degree[/tex]

[tex]\implies\huge\purple{\boxed{ m\angle 1 = 20\degree}}[/tex]

Alternate method:

[tex]m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)][/tex]

[tex]\implies m\angle 1 = 180\degree- [360\degree-200\degree][/tex]

[tex]\implies m\angle 1 = 180\degree- 160\degree[/tex]

[tex]\implies m\angle 1 = 20\degree[/tex]

Answer:

m∠1 = 20°

Step-by-step explanation:

Alternate interior angle theorem (z-angles): when two parallel lines are cut by a transversal, the resulting alternate interior angles are equal.

Therefore, because of the parallel lines, angle 1 is equal to the missing angle in the quadrilateral (see attached diagram - alternate angles marked in red).

Let x = unknown angle in the quadrilateral (marked in blue on attached diagram)

Sum of interior angles of a quadrilateral = 360°

⇒ x + 40° + 70° + 90° = 360°

⇒ x + 200° = 360°

⇒ x = 160°

Angles on a straight line add up to 180°

⇒ x + m∠1 = 180°

⇒ 160° + m∠1 = 180°

⇒ m∠1 = 20°

The cards below have a mean of 25. What is the missing number?: ? 19, 22, 31

Answers

Answer: Its 28.

Step-by-step explanation:

The missing number in the card s 28

How to determine the missing number?

Represent the missing number with x.

So, we have:

x, 19, 22 and 31

The mean of a dataset is:

Mean = Sum/Count

So, we have:

25 = (x + 19 + 22 + 31)/4

Multiply both sides by 4

100 = x + 19 + 22 + 31

Evaluate the sum

100 = x + 72

Subtract 72 from both sides

x = 28

Hence, the missing number is 28