Identify the slope and y-intercept. If the equation is in standard form, you may need to switch it to slope-intercept form. Sketch the graph of each line.
x - 5y = 20

Answer:

Step-by-step explanation:

Its the fourth choice, 8000 is closer to 8132 so you would round that down instead of choosing 8500. Also, 8000 ÷ 20 = 400

Answer:

63.75

Step-by-step explanation:

12.75 times 5

Answer:

maybe 23

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Answer:

not similar bcs side are not in ratio

Answer:

k is 2, l=2√5, m=8√5

Step-by-step explanation:

Triangle MNO is half size of the triangle LON

Answer:

(0,2) and (2,5)

Step-by-step explanation:

Answer:

Option D is correct answer.

Step-by-step explanation:

We are given the system of equations:

[tex]x+y=4\\x-y=-6[/tex]

Solving the system of equations to find values of x and y

Let:

[tex]x+y=4--eq(1)\\x-y=-6--eq(2)[/tex]

Adding both equations to find value of x

[tex]x+y=4\\x-y=-6\\------\\2x=-2\\x=\frac{-2}{2}\\x=-1[/tex]

So, we get value of x: x=-1

Now, putting value of x: x=-1 into equation 1 to find value of y

[tex]x+y=4\\Putx=-1\\-1+y=4\\y=4+1\\y=5[/tex]

So, we get value of y: y=5

The ordered pair will be: (-1,5)

So, Option D: The ordered pair(-1,5) is a a solution to the system of equations because it makes both equations true is correct choice.

Checking:

Put x=-1 and y=5 in equation 1

[tex]x+y=4\\-1+5=4\\4=4\:True[/tex]

Put x=-1 and y=5 in equation 2

[tex]x-y=-6-1-5=-6\\-6=-6\:\:\:True[/tex]

So, both equations are true.

Therefore, Option D is correct answer.

[tex]\boxed{\boxed{\pink{\sf \leadsto The \ x - intercept \ is \ (2,0) \ \& \ the \ y \ intercept \ is \ (-8,0) }}}[/tex]

A linear equation is given to us and we are required to find x and y Intercepts to it. So the given linear equation to us is ,

[tex]\bf \implies 4x - y = 8 \\\\\bf\implies \dfrac{1}{8} \bigg( 4x -y\bigg) =\frac{1}{8}\times 8 \\\\\bf\implies \dfrac{4x}{8}-\dfrac{y}{8} = \dfrac{8}{8} \\\\\bf\implies \dfrac{x}{2}-\dfrac{y}{8}=1 \\\\\bf\implies\boxed{\red{\bf \dfrac{x}{2}+\dfrac{y}{-8}=1 }}[/tex]

Hence on comparing to standard form we get

Answer:

x = (2,0)

y = (0,-8)

Step-by-step explanation:

Remember than an intercept always has the other number as 0.

Let's put this in standard form of a linear equation, or y = mx + b

4x - y = 8

-y = -4x + 8

y = 4x - 8

"b" is the y intercept. The y intercept is -8, or (0,-8)

Now, to find the x intercept, all we have to do is substitute 0 for y.

0 = 4x -8

8 = 4x

2 = x

The x intercept is 2, or (2,0)

Answer:

The route across the park is 40 meter shorter than the route around its edges.

Step-by-step explanation:

We have to calculate the distance for both routes

As the route around the edges is straight,  we have to find the sum of length of both edges

Let [tex]R_E[/tex] be the distance of route around edges

[tex]R_E = 80+60 = 140\ meters[/tex]

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.

We can use Pythagoras theorem to find the length of the diagonal

So,

[tex]H^2 = P^2 + B^2[/tex]

In the given scenario

P = 60

B = 80

Now

[tex]H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters[/tex]

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

[tex]= 140-100 = 40\ meters[/tex]

Hence,

The route across the park is 40 meter shorter than the route around its edges.

Answer

10.25

Step-by-step explanation:

pls mark me as brainliest its required :)

Answer: 18

Step-by-step explanation:

Answer:

Ok

Step-by-step explanation:

-3x-5=16

at 5 to both sides

-3x=21

divide by -3

x= -7

Answer:

A

Step-by-step explanation:

its the most logical one to me

Answer:

A

Step-by-step explanation:

We are given:                                                                                                        

AB = 7x + 10

BD = 9x - 2

∠DBC = 9y - 9

∠ABC = 90°

AB = BD

Solving for x:                                                                                                          

We are given that AB = BD

7x + 10 = 9x - 2               [since AB = 7x+10 and BD = 9x-2]

10 = 2x - 2                       [subtracting 7x from both sides]

2x = 12                            [adding 2 on both sides]

x = 6                               [dividing both sides by 2]

Hence, x = 6

Solving for y:_______________________________________________  

We know that AD is a straight line,

So, ∠ABC and ∠DBC must form a linear pair

∠ABC + ∠DBC = 180°

90 + 9y-9 = 180

9y - 9 = 90             [subtracting 90 from both sides]

9y = 99                  [adding 9 on both sides]

y = 11                      [dividing both sides by 9]

Hence, y = 11

Answer:

4:5

[tex]28 : 35 = \frac{28}{35} = \frac{4}{5} = 4 : 5 [/tex]

Answer:

50.27 mi

Step-by-step explanation:

lol

Answer: X=y/2-5/2

Step-by-step explanation:

Answer:

x=1/2y+(−5/2) or x=y-5/2

Step-by-step explanation:

Step 1: Flip the equation.

2x+5=y

Step 2: Add -5 to both sides.

2x+5+−5=y+−5

2x=y−5

Step 3: Divide both sides by 2.

2x/2=y−5/2

x=1/2y+(−5/2) or x=y-5/2

Answer:

Step-by-step explanation:

Its in the image.

I used Pythagoras theorem in solving for the unknown side.

Sorry for the rough working

Answer:he has a 44% free throw rate

Step-by-step explanation:

Answer:

area models

Step-by-step explanation:

an area modle is something to model area

Answer:

1. round

2. associative property of multiplication

3. commutative property of multiplication

4. mixed number

6

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30

6

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Move all terms containing

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6

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6

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Move all terms not containing

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−6x=24-6x= 24 Divide each term by −6-6 and simplify. x=−4

Answer: La durée de la vol entire est 560 millions de miles. La durée par hour est 2.19 millions de miles par hour.

Step-by-step explanation: Je ne sais pas sûr que Je comprends la question exactement. Si on doit trouver la durée par hour, il faut divider 560000000 par 255.

Answer:

1. 6000

2. 40.83%

3. 51.67%

4. misc

Step-by-step explanation:

1 add all the numbers together

2 divide payroll amt by entire amt

3 add the rent and inventory then divide by total spent in the month

4 300/6000= .5 ( which in percent form( multiply by 100) equals 5%)