Find the linear equation that is the straight line through (1, 2) and (8, 30).​

Answers

Answer 1
Slope
= 30-2/8-1

= 28/7

= 4


Equation:
y - 2/x - 1 = 4

y - 2 = 4(x-1)

y - 2 = 4x - 4

y = 4x - 4 + 2

y = 4x - 2

Answer 2

Answer:

y = 4x - 2

Step-by-step explanation:

→ First find the gradient

[tex]\frac{x2-x1}{y2-y1} =\frac{30-2}{8-1} = 4[/tex]

→ Put into y = mx + c format

y = 4x + c

→ Substitute ( 1 , 2 ) into y = 4x + c

2 = 4 + c so c = -2

→ Rewrite into equation format

y = 4x - 2


Related Questions

Find the volume of the solid

Answers

Answer:

245 yd3

Step-by-step explanation:

Split the solid into two pieces, multiply length, width, adn height from there.

Answer:

The answer is: 245 yds cubed

Step-by-step explanation:

So first, you would cut the solid into 2 parts. One that is a big rectangular prism and the other is the smaller one. Next, we would solve the volume of the smaller rectangular prism. The measurements for that is:

Height: 2   Length: 5    Width: 2. There is a side of that small prism that is 2x2 so we will solve that first. 2*2=4. 4*5=20. The volume of the smaller rectangular prism is 20 yd^3.

Next, we solve the volume for the 2nd rectangular prism. The measurements for that are: Height: 5    Length: 9    Width: 5.

So we would first solve for one of the sides. 5*5=25. Then we would multiply it by 9. 25*9= 225. So the volume for the bigger rectangular prism is 225 yds^3.

Lastly, we will add the volumes of the two prisms together. 225+20=245.

The final answer is: 245 yds cubed

{(-3,2),(0,4),(2,0)}*{(-2,2),(1,2),(2,-5),(5,0)}

Answers

Answer:

Not sure what your asking but theirs a repeating domain so THIS IS NOT A FUNCTION

Find the missing side of right triangle, where c= 13 in and a= 5 in

Answers

Answer:

b = 12

Step-by-step explanation:

a^2 + b^2 = c^2

25 + b^2 = 169

b^2 = 144

b = 12

a² + b² = c²

5² + b² = 13²

25 + b² = 169

b² = 169-25

b² = 144

b = √144

b = 12

Help Please! I ain’t understanding this :’

Answers

Answer:

The first one because the width and the length make the box of ice cream look bigger.

Step-by-step explanation:

PLSSS ANSWERRR HAVE TO HAVE IT DONE IN 10 MIN

Answers

Answer:

466.2 ft²

Step-by-step explanation:

10x24=240

1/2[tex]\pi[/tex]12²=226.194671

240+226.194671=466.194671

What is the probability that the sum is a common multiple of 2 and 3? Please help me ASAP!

Answers

Answer:

what is the question

Step-by-step explanation:

In a local middle school, there are 20 Science teachers, 30 Social
Studies teachers and 600 students. What is the ratio between the number
of Science teachers and the number of students for this school? *
1:12.
1:30
1:35
1:40

Answers

Answer:

no of science teachers is 20

no of students is 600

ratio=20/600

=20:600

=1:30

pls give me brainliest

(7-9i)(4-2i)multiply and simplify ​

Answers

distribution method
28-14i-36i+18i^2
=28-50i+18i^2

Answer: -32-126i

Step-by-step explanation:

Plz help this is 400 points. Nancy bought a Reuben sandwich and received her change in several coins. The cashier handed Nancy 2 half dollars, 3 quarters, 4 dimes, 4 nickels, and 1 penny. How much money did Nancy get in change?

Answers

Answer:

2.35

Step-by-step explanation:

2x50=100

3x25=75

4x10=40

4x5=20

100+75+40+20=2.35

the secret to football betting​

Answers

Answer:

Step-by-step explanation:

Do tell, if that's what you mean. If you're asking me, I'm not sure I know!

What is the secret to football betting? Hmmmm....

The base of the pyramid is a right triangle



The volume is ____ cubic cm.

Answers

Answer:

37 cubic cm should be the answer sorry if I am wrong

In the figure below, points G, H, and Jall lie on circle I.
H
Which of the following can be concluded from the figure?

Answers

Answer:

3rd option

∠JGH= 1/2∠JIH

Step-by-step explanation:

This is because of the circle theorem that states that angle at center is equal to two times the equal at circumference

8. Find F-1 for the function f(x) = (x + 1)3 + 4.


A.f-'(x) =V7-4+1
B. f(x)=x+4+1
C.f(x) = x+4-1
D. g(x)=√x-4-1

Answers

Answer:

Answer is B

Step-by-step explanation:

Georgia brought a snow cone shaped like the cone below what is the height of the snow cone

Answers

Answer:

Step-by-step explanation:

Use the Pythagorean Theorem.

h² = 5² - 3² = 4²

h = 4 in

3
What is the median number of volunteer service hours? *
(5 Points)
Volunteer Service Hours
.
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
13
20
23
27

Answers

The median number is 20


A builder buys 28.5 acres of land to develop a new community of homes and parks.
Part 1 :
The builder plans to use 0.75 of the land for a park. How many acres will he use for the park?

Part 2 out of 2
He buys a second property that has 0.74 times as many acres as the first property. How many acres of land
are in the second property? no links please.

Answers

Answer:

Part 1: 21.375 Acres

Part 2: 15.8175 Acres

Help Me Please.............................(7)

Answers

Answer:

Step-by-step explanation:

The first step contains the error.

2x - 10 =    22            Add 10 to both sides

   + 10     +10

2x = 32                      Divide by 10

2x/2 = 32/2

x = 16

Acellus
A
-3
-2.
-1
B
The distance AB rounded to the
nearest tenth = [?].
Hint: d= V(x2 – x1)2 + (y2 - y1)2
Enter
haha help plz

Answers

Answer:

[tex]AB = 3.6[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Distance AB

From the graph:

[tex]A = (-2,1)[/tex]

[tex]B = (1,-1)[/tex]

The distance is:

[tex]AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]AB = \sqrt{(-2 -1)^2 + (1- -1)^2}[/tex]

[tex]AB = \sqrt{(-2 -1)^2 + (1+1)^2}[/tex]

[tex]AB = \sqrt{13}[/tex]

[tex]AB = 3.6[/tex]

Find the equation of the straight line passing through the point (-4,5) and perpendicular to the line y=2x+7.Suppose the equation is y=cx+d.Find c,d.

Answers

Answer:

The equation of the line is:

[tex]y = -\frac{1}{2}x + 3[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, this means that the multiplication of their slopes is -1.

Perpendicular to y=2x+7

This means that:

[tex]2m = -1[/tex]

[tex]m = -\frac{1}{2}[/tex]

So

[tex]y = -\frac{1}{2}x + b[/tex]

Passing through the point (-4,5)

This means that when [tex]x = -4, y = 5[/tex]. We use this to find b.

[tex]y = -\frac{1}{2}x + b[/tex]

[tex]5 = -\frac{1}{2}(-4) + b[/tex]

[tex]2 + b = 5[/tex]

[tex]b = 3[/tex]

The equation of the line is:

[tex]y = -\frac{1}{2}x + 3[/tex]

Any help would be appreciated. Thank you

Answers

14-3^2 x (-2)
=14-9 x (-2)
=14- (-18)
=32

14 club members have birthdays in summer. This is 20% of the birthdays in the club. How many club members are there? How do you do this, for kids?

Answers

Answer:

70 club members in all

Step-by-step explanation:

we know that 14 people is equal to 20%

we also know that to get 20% to 100% you multiply by 5

So, what I did was mmultiply 14 by 5 therefore bringing 14 (20%) to 70 (100%)

hope this makes sense. for other values you could just see what to multiply the percent by to get to 100 and multiply the known number by that value.

hope this helps <3

Answer:

70 members

Step-by-step explanation:

Whatever the % is, the answer on the right side of the equation must by 14

So 20% of some number = 14.

20/100 x = 14                Remember 20% = 20 / 100. Multiply by 100

20x = 14*100

20x = 1400                   Divide by 20

x = 1400/20

x = 70

There are 70 members in the club.

Kids are done no differently.

The number of people who fulfill the condition goes on the right. The left contains the % and an unknown.

How can 26n - 7m +4(10n - 6m) be rewritten? A. 36n - 13m B. 40n - 9m C. 66n - 31m D. 35mn​

Answers

Answer:

C. 66n - 31m

Step-by-step explanation:

26n - 7m + 4(10n - 6m)

26n - 7m + 40n - 24m

26n - 31m + 40n

66n - 31m

On a number line, show all values of x that have the absolute value less than 3

Answers

answer::::::::::::::::::::

Basically

What is the 38th term of 459,450,441,..

Answers

I believe its 126 i hope that hepla

PLEASE HELP ITS DUE IN AN HOUR!!!!!!

Answers

Answer:

3 units to the right of -5

Step-by-step explanation:

ez one cus im lazy so give it a shot and 1st right = brainle

Answers

Answer:

d

Step-by-step explanation:

Answer:

For The Number 6 Its A

For The Number 7 The Volume is 400

1;3;5 are the first three terms of the first differences of a quadratic sequence. the 7 term of the quadratic sequence is 35. determine the 6th and 5th term of the quadratic sequence​

Answers

Answer:

no

Step-by-step explanation:

The 6th and 5th terms of the giving sequence are respectively; 24 and 15

What are the missing terms of an Arithmetic Sequence?

We are given the first 3 terms of the sequence as; 1, 3 and 5.

We are told that the 7th term is 35.

Let xₙ be the nth term number in the quadratic sequence

dₙ is first difference number in the quadratic sequence

From the given sequence, we see that there is a common difference of 2 for the first 3 terms and so they follow an arithmetic sequence which is;

dₙ = 2n - 1

However, when we apply this up to the 7th term, that would not work. Thus, let us use the differences. We see that sum of two consecutive number position of terms is equal to the difference between the two consecutive terms.

Thus;

difference between 3rd and 4th term = 3 + 4 = 7

difference between 5th and 6th term = 4 + 5 = 9

difference between 6th and 7th term = 5 + 6 = 11

Thus, since 7th term is 35, then;

6th term = 35 - 11 = 24

5th term = 24 - 9 = 15

Read more about Arithmetic Sequence at; https://brainly.com/question/6561461

Please help I will give you brainless fide the volume and round to the nearest tenth

Answers

Answer:

11.5 ft

Step-by-step explanation:

Take the cone formula:

V = 3.14 * 1^2 * 11/3 = 11.5 ft

272 sweets are divided between Ram and Rahim in the ratio of 7 : 9. How many sweets do they get?​

Answers

Answer:

let the ratio of ram and hari be 7x and 9x respectively

7x +9x=272

or, 16x=272

or,x=272÷16

or,x=17

ratio of ram=7x=7 × 17=119

ratio pf rahim=9x=9×17=153

Solve the system using any method: y = 3x + 4 6x2y=8​

Answers

Answer:

y=24,x=20/3

[tex]y = 3x + 4[/tex]

[tex]8 = 6 \times 2y[/tex]

[tex] 2y = 8 \times 6 [/tex]

[tex]y = 24[/tex]

[tex]24 = 3x + 4[/tex]

[tex] - 3x = 4 - 24[/tex]

[tex] x = \frac{20}{3} [/tex]

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