Functions
Acellus
Find the equation of this line.
[?]
-x+ []
y =
Simplify the fractional part.

FunctionsAcellusFind The Equation Of This Line.[?]-x+ []y =Simplify The Fractional Part.

Answers

Answer 1

Answer:

y = -2/5 x +1

Step-by-step explanation:

We know two points on the line (-5,3) and ( 5,-1)

We  can find the slope using the slope formula

m = ( y2-y1)/ (x2-x1)

m = ( -1 -3)/( 5- -5)

   = (-1-3)/ (-5+5)

  -4/10

 =-2/5

Using the slope intercept form of the the lint

y = mx+b  where m is the slope and b is the y intercept

y = -2/5 x+b

Using one of the point and substitute in for x and y

3 = -2/5 (-5) +b

3 = 2 +b

1 = b

y = -2/5 x +1

Answer 2

The equation of the line passes through the points (0, 1) and (5, -1) will be;

[tex]y = - \dfrac{2}{5}x + 1[/tex]

The equation of a line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, 1) and (5, -1).

Now,

Since, The equation of line passes through the points (0, 1) and (5, -1).

So, We need to find the slope of the line.

Hence, the Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - 1) / (5 - 0)

m = - 2 / 5

Thus, The equation of the line with slope - 2/5 is,

[tex]y - 1 = - \dfrac{2}{5} (x - 0)[/tex]

[tex]y - 1 = - \dfrac{2}{5}x[/tex]

[tex]y = - \dfrac{2}{5}x + 1[/tex]

Therefore, The equation of a line is [tex]y = - \dfrac{2}{5}x + 1[/tex].

To learn more about the equation of line visit:

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Related Questions

A builder makes a certain type of concrete by mixing together 1 part portland cement (made from lime and clay), 3 parts sand, and 5 parts crushed stone. If 765 ft^3 of concrete are needed, how many cubic feet of each ingredient does he need?

Answers

Answer:

85 ft^3 portland cement255 f^3 sand425 ft^3 crushed stone

Step-by-step explanation:

The total number of parts is 1+3+5 = 9. The relevant fractions of the mix are ...

  1/9 = portland cement

  3/9 = 1/3 = sand

  5/9 = crushed stone

Since the total is 765 ft^3, the ingredients required are ...

  (1/9)(765 ft^3) = 85 ft^3 portland cement

  (1/3)(765 ft^3) = 255 f^3 sand

  (5/9)(765 ft^3) = 425 ft^3 crushed stone

2 and 5/6 divided by 1 and 2/3 find the solution and write it in simplest form





Thanks for the help!!!!

Answers

Answer:

1  7/10

Step-by-step explanation:

= 17/6 ÷ 5/3

= 17 x 3

= 6 x 5

= 51/30

= 1 7/10

The following graph shows the system of equations?

PLS HELP

Answers

I think it’s the first choice because you start at -2 then you went up 6???

What is the perimeter of the triangle?

Answers

Answer:

L1 + L2 + L3 = perimeter

Step-by-step explanation:

You add each side of the triangle together.

Answer:

L1+L2+L3

Step-by-step explanation:

You add all the sides of the triangle to get the perimeter

plss help me... with explanation
(20 pnts)​

Answers

Answer:

B. slope

Step-by-step explanation:

It costs $6.50 per fidget popper. How much would it cost to get 8 fidget poppers.

Answers

Answer:

$52

Step-by-step explanation:

8*6.50

is the following relation a function {(-6,-3),(-6,-1),(-6,5),(-6,8)

Answers

Answer:

Step-by-step explanation:

This relation (this group of points) is NOT a function. In order to be a function, every x-value (the first number in the pair) can only be paired up with one y-value (only one partner for the x)

In this relation, -6 is paired up with four different y-values (four different partners!)

If you plotted these points on a graph, you would see they are all lined up in a vertical line. If you have learned about the vertical line test, you will see that a vertical line goes through all four points. This set of points fails the vertical line test. To be a function, a vertical line can only touch the points one at a time.

To be a function, every x can only have one y partner.

Pls help with my maths!!!

Answers

Step-by-step explanation:

[tex] \frac{x + 6}{ x} = \frac{5}{2} [/tex]

Then collect like terms

answer is x = 4

Answer:

x = 4

Step-by-step explanation:

x + 6/x = 5/2

2(x + 6) = 5(x)

2x + 12 = 5x

12 = 5x - 2x

12 = 3x

12/3 = x

4 = x

Hence,

Value of x is 4

When buddy ran away after his dad yelled at him dad and step brother searched 10% of New York for him what is this number as a fraction written in simplest form

Answers

Answer:

1/10

Step-by-step explanation:

they searched 1/10of New york

10%=10/100

=10%=1/10

Answer : 1/10

Step - by - step explanation :

10% = 10/100 ( because percentages are always out of 100 )

10/100 divided by 10/10 = 1/10

correct?`````````````````````````

Answers

Answer:

It's $5 for a ticket

Step-by-step explanation:

Hope this helps

MAy I get Braineist pls?

question in file .
give me brainlg anserf​

Answers

Explanation

Formula to be used,

1st equation of motion, v = u + at • 3rd equation of motion,v² - u² = 2 as

Solution,

Putting all the values, we get

v=u + at

⇒0 = u + (-0.5) × 20

⇒-u=-0.5 × 20

⇒u = 10 m/s

Hence, the initial velòcity of the car is 10

city of the car is 10m/s.

Now, the distance covered,

v²-u² = = 2as

⇒ (0)²-(10)² = 2 × (-0.5) × s

⇒-100 = - 1s

⇒ s = 100 m

Hence, the distance covered is 100 m.

Find the total amount and total interest after one year if the interest is compounded half yearly


Principal = 4000

Rate of interest = 10% per annum

Total amount =

Total interest =

Answers

Use the equation:
Total amount=p(1+(r/k))^(k*t)
p=principal
r=rate
k=number of times compounder per year
t=number of years
So 4000(1+(.10/2)^(2*1)=4410
4410 is the total amount owed
4410-4000=410
410 is the total interest owed

A recipe for a loaf of bread requires 2/3 cup of flour. How many cups of flour would it take to make 15 loaves of bread?

Answers

Answer:

10

Step-by-step explanation:

1 loaf if bread= 2/3 cup

15 loaves of bread= 2/3 × 15

= 10

What is 180 in./sec in m/min?

Answers

274.32 is the answer. Tell me if I need to be more precise.

QUESTION 15 PLEASE HELP ME ASAPP

Answers

Answer:

The line shifted up 8 units

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINIEST!!!!!!

Answers

Answer:

Copy an angle is the best solution with compass and straight edge.

The lengths of the sides of quadrilateral EFGH are as follows: EF = 12 cm, FG = 6 cm, GH = 9 cm, and EH
- 9 cm. If EFGH - MNOP and NO = 7.5 cm, which statement about the side lengths of quadrilateral MNOP
is true?
MN = 12 cm because the scale factor for dilating quadrilateral EFGH is 1.
MP = OP = 7.2 cm because the scale factor for dilating quadrilateral EFGH is
UA
5
HMN = 13.5 cm because the scale factor for dilating quadrilateral EFGH adds 1.5 cm to EF.
MP = OP = 11.25 cm because the scale factor for dilating quadrilateral EFGH is 1.25.

Answers

The true statement about the side lengths of quadrilateral MNOP is (d) MP = OP = 11.25 cm because the scale factor for dilating quadrilateral EFGH is 1.25.

The side lengths of EFGH are given as:

[tex]EF = 12\ cm[/tex]

[tex]FG = 6\ cm[/tex]

[tex]GH = 9\ cm[/tex]

[tex]EH = 9\ cm[/tex]

Length NO is also given as:

[tex]NO = 7.5\ cm[/tex]

Because both quadrilaterals are similar, then side NO corresponds to side FG.

The scale factor (k) from EFGH to MNOP is then calculated as:

[tex]k = \frac{NO}{FG}[/tex]

[tex]k = \frac{7.5}{6}[/tex]

[tex]k = 1.25[/tex]

The side lengths of MNOP are then calculated using:

[tex]MN = 12cm \times 1.25[/tex]

[tex]MN = 15\ cm[/tex]

[tex]OP = 9cm \times 1.25[/tex]

[tex]O P = 11. 25 cm[/tex]

Also,

[tex]MP = 11. 25 cm[/tex]

So, the true statement is (d)

Read more about dilations at:

https://brainly.com/question/3457976

index notation simplify 4^9 x 4^3

Answers

Answer:

[tex]4^{12}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]4^{9}[/tex] × [tex]4^{3}[/tex] = [tex]4^{(9+3)}[/tex] = [tex]4^{12}[/tex]

What is the value of the expression when a=3 and b=4

Answers

Answer:

The equation

Step-by-step explanation:

I need the equation so I can answer your question.

Emily reads a story book. o the first day, she reads 1/9 of the whole book, and on the second day, she reads 24 pages. The ratio of the number of pages read to the remaining pages in the two days is 1:4. How many pages are there in this book

Answers

Answer:

Step-by-step explanation:

Let P be the number of pages

First day reads P/9 pages

Second day reads 24 pages

two days reading is P/5  (1 page read for every 4 pages left)

         P/9 + 24 = P/5

        P + 24(9) = 9P/5

  5P + 24(9)(5) = 9P

               1080 = 4P

                     P = 270 pages

There are 270 pages in this book.

Given that,

Emily reads a storybook the first day,

She reads 1/9 of the whole book, and on the second day, she reads 24 pages.

The ratio of the number of pages read to the remaining pages in the two days is 1:4.

We have to find

How many pages are there in this book?

According to the question,

Let, P is the number of pages,

The first day Emily reads p/9 pages of the whole book,

And the second day she read 24 pages.

The ratio of the number of pages read to the remaining pages in the two days = 1;4 = p/5.

Therefore,

The number of pages reads first day + the number of pages read the second day = The ratio of the number of pages read to the remaining pages in the two days

[tex]\rm \dfrac{p}{9} + 24 = \dfrac{p}{5}\\\\ \dfrac{p}{5} - \dfrac{p}{9} = 24\\\\\dfrac{p \times 9 - p\times 5}{45} = 24\\\\ \dfrac{9p-5p}{45} = 24\\\\\dfrac{4p}{45} = 24\\\\4p = 24\times 45\\\\4p = 1080\\\\p = \dfrac{1080}{4}\\\\p = 270 \ pages[/tex]

Hence, there are 270 pages in this book.

For more details refer to the link given below.

https://brainly.com/question/14505922

Find the product. Simplify your answer. (m–4)(2m+2)

Answers

Answer:

2m²-6m-8

Step-by-step explanation:

(m-4)(2m+2)

= (m+-4)(2m+2)

= (m)(2m)+(m)(2)+(-4)(2m)+(-4)(2)

= 2m²+2m-8m-8

= 2m²-6m-8

2m^2-6m-8 is the correct answer (^2 is the exponent)

Solve 5 - 2x < 7.
A) x < -1
B) x > -1
0x<
-12
D) x>-12

Answers

Answer:

x < - 1

Step-by-step explanation:

You have to treat it is a linear equation.

First, - 5 from both sides, resulting in -2x < 2.

Lastly, you need to find x on it's own so you have to divide by - 2.

Therefore, the answer would be x < -1.

Hope this helps :)

A liquid mixture of 56 ounces contains 14 ounces of sugar and the rest is water. What is the ratio of swar to water
in the mixture?

Answers

Step-by-step explanation:

Ounces of water = 56 - 14 = 42 ounces

Ratio of sugar to water

56 : 42

8 : 6

4 : 3

4:3, 56:42 in lowest terms is 4:3

Expand using identities:
(i) (2x- 5y)²
(ii) (11a + 2) (11a – 2)
(iii) (7m + 3) (7m + 3)

Answers

Answer:

Step-by-step explanation:

(2x-5y)^2

(2x-5y)(2x-5y)

4x^2-10xy-10xy+25y^2

4x^2-20xy+25y^2

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

(11a+2)(11a-2)

121a^2+22a-22a-4

121a^2-4

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

(7m+3)(7m+3)

49m^2+21m+21m+9

49m^2+42m+9

what is the sum of two number 55 + 6

Answers

Answer:

61

Step-by-step explanation:

1+1+1+1+1+1=6

6x10=60

60+1=61

help plslssssssssssssssss

Answers

Step-by-step explanation:

The answer is

In step 1 the multiplication property of equality was applied incorrectly

USE THE DIATRIBUTIVE PROPERTY TO WRITE 6(W+5) AS AN EQUIVALENT EXPRESSION

Answers

Answer:

w = 5

Step-by-step explanation:

Step 1: Use the Distributive property to get 6w + 30.

Step 2: Divide 6w by 6 and cancel out both 6s.

Step 3: Divide 30 by 6 to get 5, and you have the answer.

4+2g+5g=-66










help me
plsss


























































































































































pls

Answers

The answer is g=-10
Hope it helps
4+2g+5g=-66
4+7g=-66
-4 -4
7g=-70
/7 /7
G=-10

Solve the system of equations by the substitution method.
y = 2x + 1
5y-7x = 11
.....
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is (Simplify your answer. Type an ordered pair.)
OB. There are infinitely many solutions.
O C. There is no solution.

Help

Answers

Answer:

(2,5) -- that is, x is 2, and y is 5, so it would be choice A.

Step-by-step explanation:

5(2x+1)-7x=11

10x+5-7x=11

3x=6

x=2

y=2(2)+1=5

What is the value of c?

Answers

Answer:

Step-by-step explanation:

Explanation:

Since it is a right triangle and we are given the two shorter legs, the hypotenuse is found by

c

2

=

a

2

+

b

2

c

2

=

10

2

+

24

2

=

100

+

576

=

676

c

=

676

=

26

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