What is the equation of the line that passes through (4,3) and (2, -1)?

y = 6x+4
y = 1/2 x -2
y = 2x-5
y = 4x -13

Answer:

b

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

what you would do is from 7am to 3pm its 8 hours. then you would do 82 degrees - 54 degrees and you would get 28 degrees. ok then you would do 28 degrees divided by the 8 hours  and you would get 3.5 degrees per hour.

hope this helps.

Answer:

24 cm

Step-by-step explanation:

it says that the mail slot is 24 cm in width

Answer:

Step-by-step explanation:

14cm

Answer:

60°

Step-by-step explanation:

The sum of all three triangle angles add up to 180°. To solve for the last angle, add the sides you know together and subtract the sum from 180. This will leave you with the third angle's measurement,

40 + 80 = 120

180 - 120 = 60

The third angle of the triangle is 60°

A polygon with three angles, side, and vertices is called a triangle.

Given that, a triangle has angles that measure 40° and 80°.

We know that the sum of the interior angles of a triangle is 180°

Let the third angle be x,

40° + 80° + x = 180°

x = 180°-120°

x = 60°

Hence, the third angle of the triangle is 60°

For more references on triangles, click;

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Answer:

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = ⁷/₂

(14, -3)    ⇒   x₀ = 14,  y₀ = -3

So, the point-slope form of the equation:

y + 3 = ⁷/₂(x - 14)

So::

y + 3 = ⁷/₂x - 49         {subtract 3 from both sides}

y = ⁷/₂x - 52             ←  the slope-intercept form of the equation

Answer: 77.5 inches by 30 inches

Answer: A

Step-by-step explanation: Every hour the temperature goes down 2 degrees and the h wouldn't go on the 32! Good luck! :D

Answer:

C. t = –4h + 21

Step-by-step explanation:

We know that when h = 0, t = 21°F. Replacing h = 0 in  equation A and D we get:

A.

t = 21h + 4

t = 21(0) + 4

t = 4

D.

t = –21h + 4

t = –21(0) + 4

t = 4

So, none of them are correct.

The temperature drops 4 degrees every hour, this means that for h = 1 then t = 21 - 4 = 17. Replacing h = 1 in  equation B and C we get:

B.

t = 4h + 21

t = 4(1) + 21

t = 25

C.

t = –4h + 21

t = –4(1) + 21

t = 17

In consequence, C is the correct option.

Answer:

a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle? Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle?

Step-by-step explanation:

Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle? Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle?

Answer:

a. 4 : 1

b. 2 students

c. 3 : 1

Step-by-step explanation:

a. There were 12 students who got a C and 3 students who got As. The ratio is therefore:

12 : 3

Take it to the lowest form by dividing both sides by 3:

= 4 : 1

b. There were 4 students with a D grade and 8 with a B. The ratio is:

= 4 : 8

Taken to the lowest form that would be:

= 1 : 2

This means that for every student receiving a D, 2 students received an A.

c. 12 students received a C and 4 students received a D. That ratio is therefore:

= 12 : 4

Take to the lowest form by dividing both sides by 4:

= 3 : 1

Answer:

Original price:$150

Markdown percentage:25%

Sale price:$112.50

Discount savings:$37.50

Step-by-step explanation:

Answer:

[tex]z = \frac{q}{2} [/tex]

Step-by-step explanation:

[tex]z \infty q[/tex]

[tex]z = kq[/tex]

[tex]z = 2 \: and \: q = 1[/tex]

[tex]2 = k1[/tex]

[tex]k = \frac{2}{1} [/tex]

[tex]z = \frac{1}{2} q[/tex]

[tex]z = \frac{q}{2} [/tex]

9514 1404 393

Answer:

  z = 2q

Step-by-step explanation:

The formula for direct variation is ...

  z = kq . . . . . k is the constant of proportionality

We can find k using the given values of z and q:

  k = z/q = 2/1 = 2

Then the equation connecting z and q is ...

  z = 2q

Answer:

62miles/1hr

Step-by-step explanation:

In order to get the rate of change I divided 124 miles by 2 hours to get 62 miles.

Answer:

(6,5), (3,-4) either one of those...

Answer:

x = 12

Step-by-step explanation:

Answer:

c=7.17

Step-by-step explanation:

23=6c-20

43=6c

7.17=c

Answer:

7.16

I think this is correct

Answer:

a) 10cm

b) 11.6 cm( approximately)

Step-by-step explanation:

Use pythagorean theorem

Answer: 80

Step-by-step explanation:

First, find the area of the square by doing 12 x 12. (Which = 144)

Then, find the area of the circle. This is found by using the formula of 1/4 • π • 9 squared.

This should get you 63.62, or 64 when rounded up.

You then subtract 64 from 144 and get 80 for your answer.

Answer:

-12

Step-by-step explanation:

Step1: Add 3 to both sides of the equation

2x -3 = 5x +6

    +3         +3 = 9

Step2: subtract 5x from both sides of the equation

2x = 5x +9

-5    -5

Step3: divide both sides of the equation by the same term

-3x(/ -3) = 9(/-3)    

Step4: multiply -3 with 2

-3x2= -6

Step4: subtract -6 with 3

-6 - 3= -9

Step5: add the -9 to -3

-9 + -3 = -12

ANSWER: -12

Step-by-step explanation:

What is X+Y?

First note that if x + y = xy then neither x nor y can be equal to 1.

That being said, as a previous user already noted y = x/(x-1) and hence x - y = x - x(x-1) = x(x-2)/(x-1). Assume x - y = D. Then your question becomes what can D be so that the equation x(x-2)/(x-1) = D has a solution different than 1.

Rewrite this equation as x(x-2) = D(x-1) and note that x(x-2) = (x-1)^2 - 1. Replace x - 1 with z. So your question is what can D be so that the equation z^2 - 1 = Dz has a nonzero solution? Given that 0 cannot be a solution anyway of the previous equation. The question is really, for which D does the quadratic equation z^2 - Dz - 1 = 0 have solutions? By elementary 9th grade math, this equation has a solution when its discriminant D^2 + 4 is nonnegative. But D^2 + 4 is strictly positive regardless of the value of D. Hence D can be anything.

How to solve your question

Your question is

(+)−7+8

Simplify

1. Eliminate redundant parentheses

(+)−7+8

+−7+82

Add the numbers

+−7+8

++1

Solution

++1

Answer:

C, price increases

Step-by-step explanation:

this is correct I promise you.

Answer:

C

Step-by-step explanation:

Prices increase because there is a higher demand for the product, but it does not double because each individual seller can set their price.

Step-by-step explanation:

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Answer:

y = (x - 4)² - 26

Step-by-step explanation:

To complete the square, all we need to do is take term -8x, and add enough to make the equation come out to the square of half that.  Half of -8 is -4, so we need to add 26 to the equation to end up at 16:

[tex]y = x^2 - 8x - 10\\y + 26 = x^2 - 8x + 16\\y + 26 = (x - 4)^2\\y = (x - 4)^2 - 26[/tex]

Giving us the final result

Answer:

The range of the equation is y ≥ 9 ⇒ C

Step-by-step explanation:

The quadratic equation y = ax² + bx + c, represents by a parabola of vertex (h, k), where h = [tex]\frac{-b}{2a}[/tex] and k is the value of y at x = h

∵ The equation is y = x² + 9

→ Compare it with the form above to find a and b

∴ a = 1 and b = 0

∵ a is a positive number

∴ The parabola has a minimum vertex

→ By using the 1st rule above

∴ The range is y ≥ k

→ Use the rule of h above to find it

∵ h = [tex]\frac{-(0)}{2(1)}[/tex] = [tex]\frac{0}{2}[/tex]

∴ h = 0

→ To find k substitute x by the value of h and y by k

∵ k = (0)² + 9

∴ k = 0 + 9

∴ k = 9

∴ The range of the equation is y ≥ 9

Answer:

function 2

Step-by-step explanation:

Answer:

Function 2

Step-by-step explanation:

Answer: OMG i hope they are nice to you

Step-by-step explanation: