What is the equation of the line through (2, -4) and (0, 4)

Answer:

slope = -7/2x

Step-by-step explanation:

you can solve the equation in order to make it slope-intercept form.

7x + 2y = 5

2y = -7x + 5

divide everything by 2

it becomes y = -7/2x + 5/2

The required slope of the line is m = -7 / 2.

A line can be defined by the shortest distance between two points is called a line.

Method 1

7x + 2y = 5
Rearranging the equation in the standard form of the equation of a line
y = mx + c
where m is the slope of the line and c is the intercept of the line.
7x + 2y = 5
2y = -7x + 5
y = -7x/2 + 5  - - - - - -(1)
Comparing equation 1 with the standard form of the equation
m = -7/2 and c = 5

Method 2
Differentiate the given equation, with respect to x
d/dx (7x + 2 y) = d/dx (5)
7 + 2dy/dx = 0
dy/dx = -7/2
Slope = dy/dx = -7/2

Thus, the required slope of the equation is m = -7/2

Learn more about lines here:

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Answer:

Area: T = 0.649

Step-by-step explanation:

Sides: a = 3.5   b = 1.333   c = 2.25

Answer:

x + 18 ≥ 26

Step-by-step explanation:

"greater than or equals": ≥

x + 18 ≥ 26 is your answer.

If you are trying to solve it so you isolate x, subtract 18 from both sides:

x + 18 (-18) ≥ 26 (-18)

x ≥ 26 - 18

x ≥ 8

x ≥ 8 is your answer.

~

Answer:

x+18 ≥ 26

Step-by-step explanation:

≤ is the less than or equals sign

≥ is the greater than or equals sign

x+18 ≥ 26

(This also means x must be ≥ 8)

Answer:

-3/4

Step-by-step explanation:

Point A is at (-4,3) and Point B is at (4,-3)

The slope is at

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

   = (-3 -3)/(4 - -4)

   = (-3-3)/(4+4)

    = -6/8

     = -3/4

plot the circle on a coordinate plane, with the center at (-1, -2) and a radius of 7 units.

To graph the equation of the circle x^2 + y^2 + 2x + 4y - 44 = 0, we can follow these steps:

1. Complete the square for the x-terms:

  Rearrange the equation to group the x-terms together:

  x^2 + 2x + y^2 + 4y = 44

  To complete the square for the x-terms, add (2/2)^2 = 1 to both sides of the equation:

  x^2 + 2x + 1 + y^2 + 4y = 44 + 1

  Simplify:

  (x + 1)^2 + y^2 + 4y = 45

2. Complete the square for the y-terms:

  To complete the square for the y-terms, add (4/2)^2 = 4 to both sides of the equation:

  (x + 1)^2 + y^2 + 4y + 4 = 45 + 4

  Simplify:

  (x + 1)^2 + (y + 2)^2 = 49

3. Identify the center and radius:

  The equation is now in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2

  Comparing this with our equation, we can see that the center of the circle is (-1, -2) and the radius is √49 = 7.

4. Plot the graph:

  The center of the circle is (-1, -2), which represents the point where the circle is centered. From this point, we can draw a circle with a radius of 7 units in all directions.

By following these steps, we can plot the circle on a coordinate plane, with the center at (-1, -2) and a radius of 7 units.

For more questions on circle .

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Note the full question may be:

To graph the equation of the circle x^2 + y^2 + 2x + 4y - 44 = 0, first rewrite it in standard form by completing the square for both x and y terms. Then identify the center and radius of the circle and plot the corresponding points to draw the graph.

Answer:

5V + 10

Step-by-step explanation:

Add the like terms.

-5v - 4

If you add the like terms this is what you get

Answer:

x^2 +2x -15

Step-by-step explanation:

FOIL

(x-3)(x+5)

first x*x = x^2

outer 5x

inner -3x

last -3*5 = -15

Add them together

x^2 +5x-3x-15

Combine like terms

x^2 +2x -15

Answer:

-1

Step-by-step explanation:

7 - 8 = -1

hope its helpful

Answer:

n - 7 = -8

Step-by-step explanation:

Answer:

They must have lost 19 games.

Step-by-step explanation:

If you plug in 53 into the equation, you get 53 = 3w + 11. You subtract 11 from both sides, resulting in 42 = 3w. You divide 3 from both sides this time, resulting in 14 = w. Since W is the number of wins, and you're trying to figure out games lost, you subtract 14 from the number of games played, so 33-14 is equal to 19.

Answer:

210 adult tickets were sold

Step-by-step explanation:

let x be the number of adult tickets sold

let y be the number of children tickets sold

x+y=260 equation 1

9x+5y=2140 equation 2

multiply equation 1 by 5

multiply equation 2 by 1

5x+5y=1300

9x+5y=2140

subtract equation 1 from 2

4x=840

x=840/4 =210  tickets

substitute for x in equation 1

210+y=260

y=260-210=50

Answer: 4.9

Step-by-step explanation:

Answer:

[tex]x_{min} = 75\,camisas[/tex]

Step-by-step explanation:

El número mínimo de camisas a vender es igual al costo de alquiler del local dividido por la diferencia entre los valores de venta y compra de cada camisa. (The minimum amount of shirts to be sold is equal to the rental cost of the retail space divided by the difference between sell and purchase cost per shirt):

[tex]x_{min} = \frac{\$ 150}{\$ 5 - \$ 3}[/tex]

[tex]x_{min} = 75\,camisas[/tex]

Miguelito debe vender un mínimo de 75 camisas para obtener ganacias. (Miguelito must sell a minimum of 75 shirts to make a profit.)

Answer:Height:  

15.8  meters

Explanation: For a rectangular prism:  XXX  Volume  =  height  ×  width  ×  depth  and  XXX  Area (of base)  =  width  ×  depth  ⇒  height  =  Volume  Area  =  306.52

19.4  =  15.

Answer:  100 CUBIC METERS

Step-by-step explanation:

Answer:

number : number

Step-by-step explanation:

for example, 1:3

this means 1 to 3

so for every 1 banana there are 3 apples

Answer:

b

Step-by-step explanation:

Answer:

a = state capital

b = nature center

c =  museum

d = other

Step-by-step explanation:

Answer:

other person is correct

Step-by-step explanation:

Answer & Step-by-step explanation:

If each fruit tree produces an average of 590 pounds of fruit, then that means we are going to multiply. For the apples, we are going to multiply 120 by 590. For the pears, we are going to multiply 90 by 590. After we multiply these numbers, we are going to add the products so we can find the total amount of pounds of fruit.

Apples:

120 × 590 = 70800

Pears:

90 × 590 = 53100

Now, we add 70800 to 53100.

70800 + 53100 = 123900

So, the orchard produces 123900 pounds of fruit in one year.

There are 52 cards in the deck.

Picking a spade would be 13/52 which reduces to 1/4

After the first card is picked there are 51 cards left, picking a club would be 13/51

Picking both would be 1/4 x 13/51 = 13/204

The answer is C.

Answer:

x/2 = 12.5/5

5 · x = 12.5 · 2

5x = 25

5x / 5 = 25 / 5

x = 5

Step-by-step explanation:

Answer: 47,520

Step-by-step explanation: 36 times 40 times 33

Answer:

Richard gets 15 more sweets than Natasha.

Step-by-step explanation:

Given that the ratio of Sarah's sweets is 5 and she has 75 sweets. So firstly, you have to find out how many sweets in a ratio of 1 :

Let ratio be units,

[tex]5 units = 75 sweets[/tex]

[tex]1 unit = 75 \div 5[/tex]

[tex]1 unit = 15 sweets[/tex]

Now we have to find how many sweets does Natasha and Richard has :

Richard (ratio of 3),

[tex]3 units = 15 \times 3[/tex]

[tex]3 units = 45 sweets[/tex]

Natasha (ratio of 2),

[tex]2 units = 15 \times 2[/tex]

[tex]2 units = 30 sweets[/tex]

In order to find how many sweets Richard has more than Natasha, you have to substract :

[tex]45 - 30 = 15 sweets[/tex]

Answer:

15

Step-by-step explanation:

the answer is 15

Answer:

5.3125  in^2

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = Bh

Where B is the area of the base

25.5 = 4.8 B

Divide each side by 4.8

25.5/4.8 = B

5.3125 = B

Answer: 0.182

Step-by-step explanation:

For the first selection, the probability of picking a milk chocolate bar is equal to the number of milk chocolate bars divided the total number of bars, this is:

p1 = 5/(6 + 5) = 5/11

In the second selection we have the same equation, but now we have  4 milk chocolate bars (because one is alredy taken)

p2 = 4/(4 + 6) = 4/10

the joint probability is:

P = p1*p2 = (5/11)*(4/10) = 0.182

Answer:

Given:

The distances, in yards, that a team moves on its first five plays are 2, 21, 4, 3, and 25.

Solved:

1. The greatest number is 25

2. If the moved distances are square, which one is largest?

3. The move which is greater than 4 is considered "big play"

=> 21 and 25 are big play (21 > 4, 25 > 4)

Hope this helps!

:)

Answer:

1

Step-by-step explanation:

The slope of a line can be found by dividing the rise over the run, or how much the line rises over a certain amount of sideways movement. In this case,  the line AC moves from (0,0) to (a,a), meaning that it rises and moves sideways the same amount. Since a/a=1, the slope of this line is 1. Hope this helps!

Answer:

1

Step-by-step explanation:

Point A is (0, 0) and Point C is (a, a).

The "rise" from A to C is a and the "run from A to C" is also 1.

Thus, the slope of line A is m = rise / run = 1 / 1 = 1.

Answer:

1/3

Step-by-step explanation:

There are 6 possible outcomes when you roll this die: 1,2,3,4,5 and 6. Of these, only 5 and 6 are greater than 4, which is 2 successful outcomes. Probability is successful outcomes/total outcomes = 2/6 = 1/3. Hope this helps!

Answer:

She would need 144 square feet of carpet.

Step-by-step explanation:

Since the pen is 12 feet by 12 feet you would multiply 12 by 12 for your answer of 144 square feet.

Answer:

5(n/10)

Step-by-step explanation:

quotient of some number and ten=n/10

five time=*5

put it togther=5(n/10)

Answer:

1. C) quadratic

2. b) exponential

Step-by-step explanation: