Write the equation of the line that passes through the given points.
(1,2.5) and (0,6.5)

Answers

Answer 1

let's change the decials first off to fractions and get the slope and line

[tex]2.\underline{5}\implies \cfrac{25}{1\underline{0}}\implies \cfrac{5}{2}~\hfill 6.\underline{5}\implies \cfrac{65}{1\underline{0}}\implies \cfrac{13}{2} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{\frac{5}{2}})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{\frac{13}{2}})[/tex]

[tex]\stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{13}{2}}-\stackrel{y1}{\frac{5}{2}}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{1}}}\implies \cfrac{~~ \frac{8}{2}~~}{-1}\implies \cfrac{4}{-1}\implies -4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{\cfrac{5}{2}}=\stackrel{m}{-4}(x-\stackrel{x_1}{1})[/tex]

[tex]y-\cfrac{5}{2}=-4x+4\implies y=-4x+4+\cfrac{5}{2}\implies y = -4x+\cfrac{13}{2}[/tex]


Related Questions

a rectangle is made by joining two squares adjacent to each other as shown below. if one squared has an area of 144 squared centimeters what is the area of the rectangle?​

Answers

Answer:

Step-by-step explanation:

2(144) = 288 cm²

Can someone help with question #3

Answers

Answer:

y = –12x –300 that will help you

The speed of an object is the ratio of its distance traveled to time. If the speed of a bicycle is 4.5 meters per second, what is the distance traveled in 9 seconds?

Answers

Answer:

Step-by-step explanation:

9(4.5) = 40.5 m

Identify each equation as direct variation, an inverse variation or neither. 6. m=2n 7. y = 6/w 8. st = 18 9. k= 42h 10. p = 3-4​

Answers

Answer:

tnx to your points..

god bless you ..

maybe they help for youuu..

Help!!! Show work!!!!!

Answers

Answer:

1. (-2,-5) (-1,-1) (0,3) (1,7) (2,11)

2. (-8,-4) (-4,-3) (0,-2) (4,-1) (8,0)

3. (-4,3) (-2,2) (0,1) (2,0) (4,-1)

4. (-2,-1) (-1,2) (0,5) (1,8) (2,11)

Step-by-step explanation:

1. Slope = (11-7)/(2-1) = 4/1 = 4/1

y-intercept: 7 - (4)(1) = 3

Start in the vertical line (y) on 3, 4 up and 1 to the right (you need to points to trace a line)

2. Slope = (0- - 2)/(8-0) = 1/4

y - intercept = -2-(1/4)(0) = -2

Start on -2 vertical line, 1 up and 4 to the right.

3. Slope = (1-0)/(0-2 = -1/2

y-Intercept: 0 - (-1/2)(2)=1

Start on 1 vertical line then 1 down and two to the right (the slope is negative, the line goes downhill)

4. Slope: (8-1)/(1-0) = 7/1

y-intercept = 1 - (7)(0) = 1

Start on 1 vertical line (y) , seven up and 1 to the right.

Find the number of integers between 1 and 1000 that are divisible by 12 or 15, but not by both 12 and 15.

Answers

Count the multiples of 12:

⌊1000/12⌋ = 83

(where ⌊x⌋ denotes the "floor" of x, or the largest integer that is less than or equal to x)

These are the integers

{12, 24, 36, 48, …, 996}

Count the multiples of 15:

⌊1000/15⌋ = 66

These are

{15, 30, 45, 60, …, 990}

Count the multiples of both 12 and 15; these are multiples of LCM(12, 15) = 60:

⌊1000/60⌋ = 16

These are

{60, 120, 180, 240, …, 960}

Now use the inclusion/exclusion principle to count the multiples of either 12 or 15, but not both:

83 + 66 - 2•16 = 117

Among the multiples of 12 and the multiples of 15, we count the numbers that are multiples of both 12 and 15. By subtracting the number of multiples of both (16), we get the count of integers that are either divisible by 12 or 15. We subract 16 again to remove those that are divisible by both 12 and 15.

The average of max's three tests is an 84 what must he get on a fourth test to raise his average to an 87

Answers

Answer:

He must get a 96% on the fourth test to raise his average to an 87

Help pls ASAP plssss is sims ska and d

Answers

The answer is -1 because the line goes through it

What is the value of the expression 4.2(x−y)4 , when x = 12 and y = 5.6 as a decimal?

Answers

Answer:

6.72

Step-by-step explanation:

Answer soon please 10 points Easy math

Answers

Answer:

1 and -7

your first choice in the list

Step-by-step explanation:

yeah, this one was fun.

Carl is planting an herb garden. If his garden has 3 rows and he can plant 3 herbs in a row, how many herbs can he grow?

Answers

9 herbs (3 rows times 3 herbs/row = 9 herbs)

Answer:

He can grow 9 herbs.

Step-by-step explanation:

3rows x 3plant herbs per row = 9 herbs to grow

Hope this helps :)

Would anyone be able to help with this?

Answers

hii the answer would be 57°

Which of the following correctly factors the expression −20x+4y−2?


A

4(−5x+4y+2)


B

2(−10x+2y−1)


C

−2(10x+2y+1)


D

−20(x−4y+2)

Answers

9514 1404 393

Answer:

  B  2(−10x+2y−1)

Step-by-step explanation:

The greatest common factor is 2. Factoring that out gives the factorization shown in choice B.

  2(-10x +2y -1)

__

You could factor out -2. Doing that would give ...

  -2(10x -2y +1) . . . . . . . doesn't match choice C


1. What percent of 120 is 18?

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

120 · 15% = 18

I hope this helps!!

hello! i am doing a practice test for school & i need some help.

Answers

Answer:

C IS YOUR ANSWER ,,,,,,,,,,,,,,TICK THAT ANSWER

Please if possible just include the answer not a link to the answer I can’t access them

Answers

Answer:

92%, because there is an 8% chance of landing on yellow.

I don’t understand any of the below. Can you please help?

-25 + (-12)
14 - (-20)
-4 + (-10)

Answers

-25+(-12)=-37
14-(-20)=34
-4+(-10)=-14

Answer:

1. -37

2. -34

3. -14

Step-by-step explanation:

1. -25 then ++- is negative so -25-12 so add them becuase negative + negative adds  then keep the negative sign. THIS HELPS WITH EVERYTHINGB

Write a variable expression for the length of the bottom black bar with a being the length of the orange bar: ​

Answers

Answer:

orange divide by 3?

Step-by-step explanation:

looking at the graph, it looks like orange is 3x the length of black,

so black will be Orange/3

help pls anyone? pls​

Answers

Now girl or boy … you don’t own a calculator? That’s easy !

A is the point with coordinate (2,10)
B is the point with coordinate (5,d)
The gradient of the line AB is 4
Work out the value of d

Answers

Answer:

d = 22

Step-by-step explanation:

Substitute given slope and A to the equation y = mx + b to find b

y= mx + b

10 = 4.2 +b

10 = 8 + b

10 - 8 = 8 - 8 + b

b = 2

Then we have y = 4x + 2 when we substitute b and m.

They give x value of point B, we can plug it in and find y value which is d in this question.

y = 4x + 2

y = 4.5 +2

y = 22

Therefore, d = 22

(1 point) In how many ways can 3 different novels, 2 different mathematics books, and 1 biology book be arranged on a bookshelf if (a) the books can be arranged in any order

Answers

Answer:

3 ways

Step-by-step explanation:

three ways it can be arranged on the bookshelf three different novels, two different mathematic, books 1 Biology book are 1 Biology book, two different mathematic books, three different novel books are two different mathematic books three different novel books 1 Biology book arranged on the bookshelf if a the book can be arranged in any order

symbol. Write your answer in your notebo and اله 1. 7 is added to the sum of 7 3 2. 2 - subtracted from 11 is equal to 8 1 4 4 3. The total of 8 - and 11 7 14 1/2 and D ​

Answers

Answer:

X=5/2

4(x+2)2=36

(4x+8)2=36

8x+16=36

8x=36-16

8x=20

X=20/8

X=5/2

Step-by-step explanation:

Hope this helps:)

Find AC. FIND X USING THE PICTURE. BELOW. WILL MARK BRANLIEST FOR FIRST ONE TO ANSWER

Answers

Answer:

AC ≈ 50.5

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan29° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{28}{x}[/tex] ( multiply both sides by x )

x × tan29° = 28 ( divide both sides by tan29° )

x = [tex]\frac{28}{tan29}[/tex] ≈ 50.5 ( to the nearest tenth )

Answer:

50.5

Step-by-step explanation:

In the right triangle, focus on angle A.  The side marked 28 is the opposite side, and the side marked  x  is the adjacent side.  The trigonometric ratio that uses those two side is the tangent ratio.

tangent = (opposite) / (adjacent)

[tex]\tan{29^\circ}=\frac{28}{x}[/tex]

Multiply both sides by  x.

[tex]x\cdot \tan{29^\circ}=28[/tex]

Divide by tan 29 degrees.

[tex]x=\frac{28}{\tan{29^\circ}}[/tex]

Use a calculator (in degree mode!) to approximate  x.

[tex]x \approx 50.5[/tex]

HELP ASAP


In math class, the girl to boy ratio is 8 to 6. If there are 24 girls in the class, how many boys are there?
A
20
B
30
C
18
D
16

Answers

Answer:

C 18

Hope this helps

Jenna's basketball team is behind by eleven points. If their team makes a three-point shot, they will need to score
another
polnts to tie the game.
zero
fourteen
eight
eleven

Answers

Answer:

8

Step-by-step explanation:

11-3=8

11-3=8 must subtract for anser

what is improper fraction



help me please​

Answers

An improper fraction is a fraction in which the numerator (top number) is greater than or equal to the denominator (bottom number)

Answer:

a fraction in which the numerator is greater than the denominator, such as 5/4.

Step-by-step explanation:

A fraction consists of a Numerator and a Denominator. The numerator tells how many parts out of all are there. The denominator tells how many total parts are there. A fraction in which the numerator is greater than the denominator is called an improper fraction.

Hope it helps!

Please mark me as Brainliest!

The final velocity V of an object

Answers

Answer:

The final velocity, V, of an object under constant acceleration can be found using the formula V2=v2+2as , where v is the initial velocity in meters per second, a is acceleration in meters per second, and s is the distance in meters.

Final velocity (v) of an object equals initial velocity (u) of that object plus acceleration a Final velocity (v) of an object equals initial velocity (u) of that object plus acceleration (a) of the object times the elapsed time (t) from u to v. of the object times the elapsed time t from u to v

Find the product of 4v22 and 4v4 in simplest form. Also, determine whether the result is rational or irrational and explain your answer. Result: V The result is because it integers and its decimal expansion be written as the ratio of two terminate or repeat.​

Answers

Answer:

32[tex]\sqrt{22}[/tex]

irrational

cannot be written as a ratio

does not repeat or terminate

Step-by-step explanation:

[tex]\sqrt{4}[/tex] = 2

4[tex]\sqrt{22}[/tex] · 4(2)  =  4[tex]\sqrt{22}[/tex] · 8  =   32[tex]\sqrt{22}[/tex]

Solve: y = -7(-13).

solve y

Answers

The negatives would cancel eachother out, so it would be y=7x13

Type that in a calculator it’s 91

Or you could do 7x10=70
7x3=21
21+70=91

Answer:

y = 91

Step-by-step explanation:

y = -7(-13)

=> y = 7(13)

=> y = 91

Find the perimeter of the figure

Answers

Answer:

51 miles

Step-by-step explanation:

perimeter is distance around the outside of figure.

there are three sides with 17 mi. That means the perimeter is 51 miles

Answer:

B p=51mi.

explanation:
p=a+b+c=17+17+17=51

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