All categories

2 years ago

Graph the linear equation.find three points that solve the equation, then plot on the graph. -4y=x-18

Mathematics

2 answers:

zubka84 [21]2 years ago

6 0

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

First the solution to the equation

-4y = x - 18 Divide by - 4. Watch your signs.

-4y / -4 = x/-4 + 18/-4 Do the division. Notice the 18 needs to be divided by - 4 as well as the other two terms.

y = (-1/4)x - 4.5

Second the graph. See below.

Your original equation is what was graphed.

Third: The table with the points added to the graph.

Sample Calculation

x = 10

-4y = 10 - 18

-4y = - 8

y = -8/-4

y = 2

Point (10,2)

The graph on the right includes the table with 3 points plotted.

kirill [66]2 years ago

5 0

Step-by-step explanation:-

-4y goes on the y axis

and 18 goes on the x axis

You might be interested in

The number 64 has the property that it is divisible by its units digit. How many whole numbers between 10 and 50 have this prope

sineoko [7]

Answer:

$\large \boxed{17}$

Step-by-step explanation:

Let's call the numbers "tu", where t is the tens digit and u is the units digit.

We can solve this by the "brute force" method — examining each number to see if it satisfies the conditions.

$\begin{array}{cccl}\mathbf{u}&\mathbf{tu}& \textbf{Divisible by u} & \\0 &20, 30, 40 & 0 & \text{Division by zero is impossible}\\1 & 11, 21, 31, 41 & 4& \text{All numbers are divisible by one}\\2 & 12, 22, 32, 42 & 4 & \text{All even numbers are divisible by two}\\3 & 13, 23, 33, 43 & 1 &\text{Only 33 is divisible by three}\\4 & 14, 24, 34, 44 & 2 & \text{Only 24 and 44 are divisible by four}\\5 & 15, 25, 35, 45 & 4 & \text{Numbers ending in 5 are divisible by five}\\\end{array}$

$\begin{array}{cccl}6 & 16, 26, 36, 46 & 1 & \text{Only 36 is divisible by six}\\7 & 17, 27, 37, 47 & 0 & \text{None of the numbers is divisible by seven}\\8 & 18, 28, 38, 48 & 1 & \text{Only 48 is divisible by eight}\\9 & 19, 29, 39, 49 & 0 & \text{None of the numbers is divisible by nine}\\& \textbf{TOTAL =} &\mathbf{17}& \\\end{array}\\\text{$\large \boxed{\mathbf{17}}$ numbers between 10 and 50 are divisible by their units digit}$

5 0

2 years ago

The sum of the digits of a two-digit number is 8. If the digits are interchanged ,new number is 10 more than double the original

vova2212 [387]

Answer:

Original number 26.

Step-by-step explanation:

xy - two-digit number

1) x + y = 8

2) Original two-digit number can be written as

10*x + y

3) If the digits interchanged yx,

then the new number can be written as

10*y + x

4) Double the original number is

2*(10*x + y)

5) New number is 10 more than double the original number

(10*y + x) - (2*(10*x + y)) = 10

6) Now we have the system of 2 equations:

x + y = 8

(10*y + x) - (2*(10*x + y)) = 10 -----> 10y + x - (20x + 2y) = 10 ---> 8y - 19x = 10

x = 8 - y

8y - 19(8 - y) = 10

8y - 152 +19y = 10

27y = 162

y = 6

x = 8 - y = 8 - 6 = 2

x = 2

So, x =2, y = 6.

Original number 26.

Check:

Original number 26.

New number 62.

Double of the original number = 2*26= 52.

New number is 10 more than double the original number :

62 - 52 = 10 True

6 0

2 years ago

The hypotenuse of a right triangle is 14 centimeters long. One of the legs of the triangle is 6 centimeters. What is the length

BartSMP [9]

Answer: 12.65 cm

Step-by-step explanation:

Use the Pythagoras theorem,

a^2 + b^2= c^2

You are given the hypotenuse , which is c and another leg which is either a or b, does not particularly matter- rearrange to find the missing length

c^2 - b^2 = a^2

14^2 - 6^2 = 160

Square root 160 to find the missing length

12.65

Hope this helped :)

5 0

3 years ago

Need help for 16) and 19) Solve each equation and check. Show all work please

Paladinen [302]

Step-by-step explanation:

You said the other one would be the last haha just kidding I'm glad to help.

16. $\frac{k}{2}=(-5)^2$

First, get rid of that parenthesis.

$\frac{k}{2}=25$

Now multiply both sides by 2 so that you can isolate k

$2(\frac{k}{2})=25*2$

$k=50$

19. $\frac{r}{3}=\frac{121}{11}$

This is a pretty easy one. If you didn't know, 121/11 is actually 11 :)

$\frac{r}{3}=11$

Simply multiply by 3 to isolate r :)

$3(\frac{r}{3})=11*3$

$r=33$

4 0

2 years ago

Read 2 more answers

Suppose a van gets 22 mi/gal. The distance traveled D(g) is a function of the gallons of gas used

babymother [125]

Answer:

a) Table and graph showed

b) The distance will be 231 miles

c) Yes

Step-by-step explanation:

We know the van gets 22 mi/gal, so the distance D in miles traveled by the van can be expressed as

D(g)=22g, being g the number of gallons of gas used

a) The graph of the function D and its corresponding table of values is shown below.

b) If the van used g=10.5 gallons of gas, the distance would be:

D(10.5)=22 x 10.5 = 231 miles

c) The values of g are real in nature because they represent the amount of gas consumed by the van and it can be any real positive number. Being D a linear function of g, it also happens to take positive real values. Then it makes sense to connect the points with lines.

5 0

2 years ago