a ratio of 10 to 2 is the same as A 8/2 B 8/10 C 12/8 D 5/1​

Answer:

The value of the missing coordinate 'r' is -10

Step-by-step explanation:

The two points have the following given parameters;

The point coordinates = (4, -17) and (8, r)

The line on which the two points rests has a slope of, m = 3/4

To find the value of 'r', we use the slope formula as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Plugging in the values gives;

[tex]m = \dfrac{3}{4} = \dfrac{-1-r}{11-(-1)} =\dfrac{-1-r}{11 + 1} = \dfrac{-1 - r}{12}[/tex]

[tex]\dfrac{3}{4} =\dfrac{-1 - r}{12}[/tex]

∴ 3 × 12 = 4 × (-1 - r)

36 = -4 - 4·r

36 + 4 = -4·r

r = 40/(-4) = -10

r = -10

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:

option 1

Step-by-step explanation:

do i need to?

Answer:

x

=

2

±

√

7

Explanation:

there are no whole numbers which multiply to - 3

and sum to - 4

we can solve using the method of  

completing the square

the coefficient of the  

x

2

term is 1

∙

add subtract  

(

1

2

coefficient of the x-term

) 2  to x2 − 4 x ⇒ x 2 +2(− 2 ) x + 4 − 4 − 3 = 0 ⇒ ( x − 2 )2 − 7 =0 ⇒ ( x − 2 ) 2 = 7

take the square root of both sides

⇒ x − 2 = ± √ 7 ←

note plus or minus

⇒ x = 2 ± √ 7←

exact solutions

Step-by-step explanation:

x²-4x+3=0

x²-4x=-3

take half of -4 square it and add it to both side

x²-4x+(-2)²=4-3

(x-2)²=1

x-2=±1

x=2±1

x=1,3

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:

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:

9

Step-by-step explanation:

So the formula for a triangular pyramid is v=1/3bh

you plug in the values and you get 63=1/3(21)(h) and since you are finding the height, you get h=63*3/21

and then you check answers with

63=1/3(21)(9) which is true so the height is 9

Answer:

Pt=1285237.2855≈ 1285237

YOUR WELCOME :)

Answer:

21.2863≈21.3 feet

Step-by-step explanation:

Answer:

21.3

Step-by-step explanation:

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:

4.6cm

Step-by-step explanation:

Answer:

9/56

Step-by-step explanation:

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

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:

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:

6b + 2

Step-by-step explanation:

If Val is planting b seeds in one and 5b + 2 in the other, the expression showing the total is: b + (5b + 2) or 6b + 2 seeds.

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:

(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:

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

Answer:

90°

Step-by-step explanation:

40+50+x=180

x=90

Answer:

10

Step-by-step explanation:

Tₙ=n+5

T₅=5+5=10

Answer:

12. 30

13. 3

Step-by-step explanation:

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:

$250.8

Step-by-step explanation:

13.4 = $2.85

13.4 x 15 = 111.0

111.0 = $42.75

111.0 x 6 = 666.0

666.0 - 26.0 = 640.0

$42.75 x 6 = $256.5

$2.85 x 2 = $5.07

$256.5 - $5.07 = $250.8

not gona lie this took forever lol

Hope this helps if so don't hesitate to 'Thanks' and/or 'brainliest' this answer!

The total cost of 640 liters of gas is $35.91.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Gas from a local station costs $2.85 per gallon (in US dollars).

We know that, 1 gallon = 3.785 liters

Tara's car gets 13.4 kilometers to the liter.

Number of liters of gas = 640/13.4

= 47.76 liters

Number of gallons = 47.76/3.785

= 12.6 gallons

Total cost = 12.6×2.85

= $35.91

Therefore, the total cost of 640 liters of gas is $35.91.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

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

Answer:

oc)0.83

Step-by-step explanation:

have a good day!!!

Answer:

x=8

Step-by-step explanation:

63+90+2x+11=180

Answer:

B

Step-by-step explanation:

Add 63 and 90 to find the left angle. Then subtract by 180.

Since that answer is 27, add it to 90 and subtract by 180 to find the last angle in the middle. then finally the angle in the corner should equal 27 since the triangles are congruent.

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:

(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:

Step-by-step explanation:

3r+4+8r-2 = 90

11r +2 = 90

11r= 88