Find the equation of the line given the two points below

A(−3,−2) B(6,−8)

Answer:

option 1

Step-by-step explanation:

do i need to?

Answer:

720 inches

Step-by-step explanation:

On her blueprint, which is 1/20 the size of the actual garden

the width of the garden is 36 inches.

What is the width of the actual garden?

Let width of the actual garden = x

1/20 of x = 36

1/20 * x = 36

x = 36 ÷ 1/20

x = 36 * 20/1

x = 720

x = 720 inches

The width of the actual garden = 720 inches

Answer:

14

Step-by-step explanation:

A fully loaded truck weighs 10 3/5 tons

After unloading the truck weighed 3 2/3 tons

Therefore the weight of the load can be calculated as follows

= 10 3/5 - 3 2/3

= 53/5 - 11/3

= 265-55/15

= 210/15

= 14

Hence the weight of the load 14

Answer:

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Step-by-step explanation:

Given - In 4 ​minutes, a conveyor belt moves 800 pounds of recyclable

            aluminum from the delivery truck to a storage area. A smaller belt

            moves the same quantity of cans the same distance in 6 minutes.

To find - If both belts are​ used, find how long it takes to move the cans

              to the storage area.

Proof -

Given that,

Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Larger belt = 4 min/ shifting

Also,

Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Smaller belt = 6 min/ shifting

Now,

As we know that Time is inversely proportional to time, so

Rate of Larger Belt = [tex]\frac{1}{4}[/tex] shifting/min

Rate of Smaller Belt = [tex]\frac{1}{6}[/tex] shifting/min

Now,

Let us assume that , if both belts used then,

Total time taken = x min/shifting

Then, Rate = [tex]\frac{1}{x}[/tex] shifting/min

Now,

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

⇒[tex]\frac{6 + 4}{24} = \frac{1}{x}[/tex]

⇒[tex]\frac{10}{24} = \frac{1}{x}[/tex]

⇒10x = 24

⇒x = [tex]\frac{24}{10}[/tex] = 2.4 minutes

∴ we get

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Answer:

27

Step-by-step explanation:

3/5of 45 is basically what you are looking for and it in itself is the equation you have to solve

3/5 is 3 divided by  and "of" is basically multiply by 45

3/5*45

.6*45

27

Answer:

B

Step-by-step explanation:

Corresponding angles form a sideways U when you connect the angles.

b is the only one that does that.

1 and 4 are consecutive angles.

1 and 3 are vertical angles

4 and 3 are linear pair angles.

Answer:

6.651*10^9

Step-by-step explanation:

6.68*10^9-2.9*10^7

You can factor out 10^7 to get

(6.68*10^2-2.9)*10^7

(668-2.29)*10^7

665.71*10^7

Scientific notation would be 6.651*10^9

Answer:

12. 30

13. 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

3r+4+8r-2 = 90

11r +2 = 90

11r= 88

Answer:

56 legos in all

Step-by-step explanation:

35/5=7

7*3=21

21+35=56

Answer:

well i have legos in rl so i think the answer is C. or 56 legos in all

Step-by-step explanation:

Answer:

geyser =groundwater    

glacier = freshwater

lake=freshwater

ocean=salt water

Step-by-step explanation:

Answer:

A) 18

B)9

C)-2

Step-by-step explanation:

Replace the a,b or c with the give number. So let’s say it’s says 2 + a. It would be 2+3.

Answer:

90°

Step-by-step explanation:

40+50+x=180

x=90

Answer:

[tex]n^{3} + 15n^{2} + 56n[/tex]

Step-by-step explanation:

First FOIL  (n + 7)(n + 8) and then distribute n

(n + 7)(n + 8) = [tex]n^{2} +15n + 56[/tex]

 n ([tex]n^{2} +15n + 56[/tex])

= [tex]n^{3} + 15n^{2} + 56n[/tex]

Answer:

D

Step-by-step explanation:

Remember, area equals width x height so you can set up this equation.

[tex]48x^8y^7=6x^2y^4 * w[/tex]

Solving for w,

[tex]\frac{48x^8y^7}{6x^2y^4} =w[/tex]

Simplifying,

[tex]8x^6y^3[/tex]

Thus, D is the answer

Set up 2 equations:

Kyle: 5h + 3f = 14.50

Myles: 4h + 2f = 11.00

Lets get the two h's to cancel out.

Multiply Kyle by 4 and Myles by -5:

Kyle: 20h + 12f = 58

Myles: -20h - 10f = -55

Now add the two equations together:

2f = 3

Divide both sides by 2:

f = 3/2

f = 1.50

1 french fry cost $1.50

Now solve for the price of a hot dog:

5h + 3(1.50) = 14.50

5h + 4.50 = 14.50

Subtract 4.50 from both sides:

5h = 10.00

Divide both sides by 5:

h = 2

One hot dog cost $2.00

Answer:

yes

Step-by-step explanation:

Hey There!

So if you didn't know in order for it to be a function none of the x values can repeat

In the given relation none of the x values repeat, or each input has a different output therefore it is a function

Answer:

Jenny's age = 8 yr

Sam's age = 17 yr

Step-by-step explanation:

Let x = Jenny's age now

then x + 9 = Sam's age now

x - 5 = Jenny's age 5 years ago

x + 9 - 5 = x + 4 = Sam's age 5 years ago

4(x - 5) = x + 4

4x - 20 = x + 4

3x = 24

x = 8 = Jenny's age now

x + 9 = 8 + 9 = 17 Sam's age now

Check:  5 yrs ago Jenny was 3 and Sam was 12

4(3) = 12, so the answer is correct.

Answer:

x=2

Step-by-step explanation:

Primero, necesitamos calcular <<a>>

Sabemos que AD=BC y AB=CD porque lados opuestos congruentes

Entonces, vamos a calcular <<a>>.

Usamos AD y BC

2a-1=4a-15

suma 15 a ambos lados

2a+14=4

añada 2 en ambos lados

14=2a

divida

7=a

Ahora, usamos esta información para calcular <<x>>

Usamos CD=AB

2a-8=4x-2

pero sabemos que <<a>> es 7

entonces:

14-8=4x-2

6=4x-2

8=4x

2=x

<<x>> es 2

(¡lo siento mi español no es perfecto!

Answer:

oc)0.83

Step-by-step explanation:

have a good day!!!

Answer:

300%

Step-by-step explanation:

Given

[tex]y\ \alpha\ \frac{1}{x^2}[/tex]

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

[tex]y\ = \ \frac{k}{x^2}[/tex]

Where k is the constant of proportionality

When x decreased by 50%

[tex]Y = \frac{k}{(x - 0.5x)^2}[/tex]

[tex]Y = \frac{k}{(0.5x)^2}[/tex]

[tex]Y = \frac{k}{0.25x^2}[/tex]

Expand

[tex]Y = \frac{1}{0.25} * \frac{k}{x^2}[/tex]

Substitute [tex]\frac{k}{x^2}[/tex] for y

[tex]Y = \frac{1}{0.25} * y[/tex]

[tex]Y = 4 * y[/tex]

[tex]Y = 4 y[/tex]

The percentage change is then calculated as:

[tex]\%Change = \frac{Y - y}{y} * 100\%[/tex]

[tex]\%Change = \frac{4y - y}{y} * 100\%[/tex]

[tex]\%Change = \frac{3y}{y} * 100\%[/tex]

[tex]\%Change = 3 * 100\%[/tex]

[tex]\%Change = 300\%[/tex]

The percentage in y is 300%

From the calculation, the percentage change in y is 300%.

From the statement of the question; y α 1/x^2 so introducing the constant of proportionality, we have; y =k/x^2 so k = x^2y.

We are then told that x is decreased by 50% hence;

Y = k/(x - 0.25x)^2

Y = k/(0.5x)^2

Y = 1/0.25 k/x^2

But k/x^2 = y so;

Y = 1/0.25 y

Y = 4y

Change = 4y -y/y * 100/1

= 300%

Learn more about percentage change: https://brainly.com/question/15308590

Answer:

9/56

Step-by-step explanation:

..................

Answer:

(7, 2).

Step-by-step explanation:

The median from A intersects BC at it's midpoint.

To find the midpoint of BC:

This is (x1, y1) where x1 = (sum of the x_values of B and C) / 2)  and where y1

= (sum of the y_values of B and C) / 2)

This is (2+12)/2,  (1 + 3)/2

= (7, 2).

Answer:

(A:

Step-by-step explanation:

EXAMPLE:

in Slope Intercept form, the letter x determines the slope of the line, where 0 makes the line horizontal and 1 makes the line at a 45 degree angle, in this case to go from x to x plus 1 you would climb y two times, so it takes two units to go one unit to the right, so x is multiplied by 2

the addition at the end of the formula resembles how high up or down the line crosses the y axis, if the number is positive, then the line crosses that amount higher then 0, if it were a negative number, it would cross that much lower

hope this makes sence, dont worry, once you understand how slope intercept form works, you will never forget it, good luck with ur studies :)

MEGA CREDITS to MisterZeng for double checking our work, thx m8 :D

Answer:

Pt=1285237.2855≈ 1285237

YOUR WELCOME :)

Answer:

My best guess C im pretty sure.

Answer:

1) 225

2) 2304

Step-by-step explanation:

1)

Use geometric mean of legs

[tex]x = \sqrt{(16+9)^2 * 9^2} = \sqrt{25^2 * 9^2} = 25 * 9 = 225[/tex]

2)

Use geometric mean of altitude

[tex]x = \sqrt{(100-36)^2 * 36^2} = \sqrt{64^2 * 36^2} = 64 * 36 = 2304[/tex]

Answer:

21.2863≈21.3 feet

Step-by-step explanation:

Answer:

21.3

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

5x - 2 + x = 9 + 3x + 10

5x + x - 2 = 9 + 10 + 3x

5x + x - 3x - 2 = 9 + 10 + 3x - 3x (substracted 3x from both sides)

3x - 2 = 19

3x = 19 + 2

3x = 21

x = 21 : 3

x = 7