What is the equation of the following line?

Answer:

m = - 2/3 or

m = - 0.66667.

I don't know which form is simpler.

Step-by-step explanation:

All you want is the slope.

The slope formula is

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

y2 =  7

y1 = 3

x2 = - 2

x1 = 4

My choice of which one is 1 and which one is 2 is totally arbitrary. You could have made y2 = 3 and y1 = 7 and x2 = 4 and x1 = -2

m = (7 - 3) / (-2 - 4)

m = 4 / - 6

m = -2/3 or

m = - 0.6667

Answer: there are total 100,000 5-digit PINs.

Three Possible outcomes          Associated X values

            12345                                        5

            04555                                        4

            00001                                          1

Step-by-step explanation:

Here,  X = the number of nonzero digits in a randomly selected 5-digit PIN that has no restriction on the digits.

Possible number of outcomes = 10 x 10 x 10 x 10 x 10

= 100,000

Possible outcomes          Associated X values

12345                                        5

04555                                        4

00001                                            1

Hence, there are total 100,000 5-digit PINs.

Three Possible outcomes          Associated X values

            12345                                        5

            04555                                        4

            00001                                          1

Answer:

option D

Step-by-step explanation:

Exterior angle = sum of interior

               105 = 50 + x

               105 - 50 = x

                      55° = x

Answer:

the awnser is A i was just studing about it

Answer:

ok so so here are the numbers equal to 6

1,5

5,1

2,4

4,2

3,3

so five options and there are 36 possible outcomes(6*6)

so 5/36 or 0.14

Hope This Helps!!!

The solution is,  the probability that the sum of the two dice is greater than or equal to six is 0.14.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we get,

You roll two six-sided dice numbered from one through six.

so here are the numbers equal to 6

1,5

5,1

2,4

4,2

3,3

so five options and there are 36 possible outcomes(6*6)

we get, sample space = 36

favorable outcome = 5

probability = 5/36

so 5/36 or 0.14

To learn more on probability click:

brainly.com/question/11234923

#SPJ2

Answer:

5x+9=39

5x=39-5

5x÷5=30÷5

x=6

Answer:

54degrees

Step-by-step explanation:

From the given diagram;

2<P + 136 + 74 + 42  = 360 (sum of angle at a point is 360degrees)

2<P +252 = 360

2<P = 360 - 252

2<P = 108

<P = 108/2

<P = 54

Hence the measure of <P is 54degrees

Answer:

C. 151

Step-by-step explanation:

Since there are 6 sides on a die, and one of them is 3, the chance of rolling a 3 is 1/6.

To estimate how many times Susan rolled a 3, multiply 888 by 1/6:

888(1/6)

= 148

So, Susan rolled 3 on the die around 148 times.

This is closest to answer choice C. 151

Answer:

2700

Step-by-step explanation:

108*25=2700

100*25=2500

            +

    8*25=200

-------------------------------

               2700

Answer:

x = 35.3

Step-by-step explanation:

tan(63°) = x/18

18 · tan(63°) = x

35.3 = x

Answer:

84,85,97,100,102,122,124,137

Answer:

I'm not 100% positive, but I think it's 30

Answer:

the solutions are _2 and 3/4 so the answer is option D

Answer:

y = 2

Step-by-step explanation:

varies inversely

xy = k

y = 7 when x = 2/3

(2/3)7 = k

14/3 = k

k = 14/3

--------------------

find y when x = 7/3

(7/3)y = 14/3

multiply both sides by 3/7

y = 14/3 * 3/7

y = 2

Answer: y = 2

Step-by-step explanation: When we have two sets of inversely related coordinates, x₁ and y₁, and x₂ and y₂, we can use the product rule, shown below, to find the missing value.

Since we know that y = 7 when x = 2/3, one set of coordinates will be 7 and 2/3 and since we want to find the value of y when x = 7/3, our other coordinates will be 7/3 and y.

(2/3)(7) = (7/3)(y)

So we have 14/3 = 7/3y and solving for y from here, we find that y = 2.

Answer:

26.6 meters

Step-by-step explanation:

Tan(x) = [tex]\frac{opp}{adj}[/tex]

Tan(28)  = [tex]\frac{x}{50}[/tex]

x = 26.6m

Answer:

C. y = -1/3 + 1

Step-by-step explanation:

Parallel equations have the same slope.

Answer:

4. SAME SLOPE, SAME Y INTERCEPT.

When this happens... The system of Equations has an Infinite Number of solutions.

A IS YOUR ANSWER

5.

A system of Equations has no solution when the graph of the system are PARALLEL LINES.

OPTION D IS YOUR ANSWER.

Answer:

its a

Step-by-step explanation:

Answer:

The equation of the circle is [tex](x - 2)^2 + (y - 7)^2 = 21[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle, with center [tex](x_0,y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Diameter at the points (7,8) and (-3,6).

The diameter is the distance between these two points, so:

[tex]D = \sqrt{(-3-7)^2+(6-8)^2} = \sqrt{104}[/tex]

Radius is half the diameter, so:

[tex]r = \frac{\sqrt{104}}{2} = \frac{\sqrt{104}}{\sqrt{4}} = \sqrt{\frac{104}{4}} = \sqrt{21}[/tex]

So

[tex]r^2 = (\sqrt{21})^2 = 21[/tex]

Center:

Midpoint of the diameter, which is the mean of the coordinates. So

[tex]x_0 = \frac{7 - 3}{2} = \frac{4}{2} = 2[/tex]

[tex]y_0 = \frac{8 + 6}{2} = \frac{14}{2} = 7[/tex]

Then

[tex](x - 2)^2 + (y - 7)^2 = 21[/tex]

Answer:

B) x = 20

Step-by-step explanation:

All triangle interior angles add up to 180 so:

x + 5 + 7x - 5 + x = 180

9x = 180

x = 20

Answer:

2x+1

Step-by-step explanation:

f(g(x))= (2x)+1

(2)x+1

Answer:

x = 85, y = 45

Step-by-step explanation:

95 = 50 + y (exterior angle theorem)

y = 45

180 = y + x + 50 (Angle sum property)

180 = 45 + x + 50

180 = 95 + x

x = 85

Answer:

[tex]{ \tt{formular : {area = \pi {r}^{2} }}} \\ area = 3.14 \times {14}^{2} \\ \\ { \bf{answer : { \tt{area = 615.75 \: {cm}^{2} }}}} \\ \\ { \underline{ \blue{ \tt{⚜becker \: jnr}}}}[/tex]

Answer:

A≈ 615.75 [tex]cm^{2}[/tex]

Step-by-step explanation:

A= [tex]\pi[/tex][tex]r^{2}[/tex]

A= [tex]\pi[/tex]·[tex]14^{2}[/tex]

A≈ 615.75216 [tex]cm^{2}[/tex]

Answer:

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