What are the graphs vertex ?

Answer:

60292138333920306000

Step-by-step explanation:

The equation of the line shown in the graph in point-slope form passing through the points (4, 1) and (0, 2) is,

⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]

Given that,

Graph of the equation of the line shown in the image.

Use the formula,

The equation of a line in point-slope form passing through the points

[tex](x_1 , y_1)[/tex] and [tex](x_2 , y_2)[/tex] with slope m is defined as;

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Let us take two points on the graph, which are (4, 1) and (0, 2).

Here, [tex](x_1 , y_1) = (4, 1)[/tex]

And,  [tex](x_2 , y_2)= (0, 2)[/tex]

So, the slope of the line is,

[tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

[tex]m = \frac{(2 - 1)}{(0-4)}[/tex]

[tex]m = \frac{1}{- 4}[/tex]

[tex]m = \frac{-1}{4}[/tex]

Therefore, the equation of the line with slope [tex]m = \frac{-1}{4}[/tex] is,

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]

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Answer: it look like you have to do 20*10=200 and 8*4=32 the 4 where I got it from is 10-6=4 so 200+32=232 this is what I think, sorry if it wrong.

Step-by-step explanation: Hope this help :D

Answer:

2 teams

Step-by-step explanation:

13 divided by 5 is 2.6, but you cannot split a person in half, so it would be two teams with a remainder of three people.

There are 1287 different teams of 5 students can be formed for competitions.

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

The Math Olympiad Club consists of 13 students.

And, To form different teams of 5 students can be formed for competition.

Hence, We get;

Number of different teams of 5 students can be formed for competitions is,

⇒ ¹³ C ₅

⇒ 13! / 5! 8!

⇒ 1287

Thus, There are 1287 different teams of 5 students can be formed for competitions.

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Answer:

1/4

Step-by-step explanation:

probability of picking 5 is 1/4

the number of 5 in the set is 1 and the total is 4

hence 1/4

Answer:

1/4 or 25% chance

Step-by-step explanation:

There are 4 cards in total

There is only 1 5 card.

To find the probability of getting 5:

1/4 = 25%

Answer:

28.8 min

Step-by-step explanation:

48 x 40% = 19.2

48-19.2 = 28.8

Answer:

21

Step-by-step explanation:

4x+6+4x+6=180

8x+12=180

8x=168

x=21

Answer:

X=21

Step-by-step explanation:

Well since its just a right angle you really gotta only solve for one since their their the same things.

4x+6=90

Solve the equation

x=21

Even if you do the two together with 180, same thing.

Answer:

its b have  a nice day

Step-by-step explanation:

Answer:

I think its D.

Step-by-step explanation:

Answer:

A. 76

B. We will get two real solutions for the equation.

Step-by-step explanation:

A

For any quadratic equation ax²+bx+c=0, the discriminant is b²-4ac.

In 3x²-2x-6=0, a=3, b=-2 and c=-6:

b²-4ac

(-2)²-4(3)(-6)=4+72=76

B.

When the discriminate is positive we get two real solutions to the equation, when it's zero we get one real solution, and when it's negative we get two complex solutions. Since our discriminate, 76, is positive, we know that we will get two real solutions to 3x²-6=2x.

Answer: [tex]5:00\ PM[/tex]

Step-by-step explanation:

Given

Truck A speed is [tex]v_a=60\ kmph[/tex]

Truck B speed is [tex]v_b=80\ kmph[/tex]

Truck A leaves 2 hours before truck B

Distance traveled in the 2 hour

[tex]\Rightarrow 60\times 2=120\ km[/tex]

Suppose Truck B will catch truck A after t hours

[tex]\therefore 120+60t=80t[/tex]

[tex]\Rightarrow 120=20t\\\Rightarrow t=6\ hr[/tex]

Overtake time is [tex]9:00am +2+6=5:00\ PM[/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

63degrees

Step-by-step explanation:

I cant see the picture well but i assume that is an angle and it is right before 90 degrees

Answer:

x^2 + 2x = 1 = - 1

Step-by-step explanation:

x^2 + 2x + 3 = 1

x^2 + 2x + 3 - 2 = 1 - 2

x^2 + 2x + 1 = - 1

Answer:

When a quadratic equation's x^2 coefficient is positive, its graph is "U-Shaped" and has a minimum.

Of the equation's listed, the only equation that has a "U-Shaped" graph and would have a minimum is C or 3x^2 +2x -7.

Source: http://www.1728.org/quadr3.htm

Step-by-step explanation:

Answer:

I think the answer is option 3

Step-by-step explanation:

Answer: The box plot that represents this data is option 3.

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Solution given:

<5+69°=180°[co- interior angle]

<5=180°-69°=111°

<5=111°

Answer:

45 I believe.* u no ketchup

Answer:

B, (6,8,14)

Step-by-step explanation:

6+8 is equal to 14, not greater than 14

If all three stops are in the shape of a triangle then the distances 6 8 14 would not be an option.

Let us Apply the triangle inequality to the options.

A)5+6>9

6+9>5

5+9>6

So the triangle is possible.

B) 6+8=14 while the condition is that the sum of any two sides in a triangle is always greater than the third side i.e 6+8 must be greater than 14.

So, the triangle is not possible.

Similarly, C and D are possible triangles.

Hence, out of the 4 options, the distances 6 8 14 would not be an option.

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Mason wants to play with Maliyah's Doll House, but first he needs to stop at the clubhouse. If all

three stops are in the shape of a triangle, which of the following distances would NOT be an option?

Answers :

5 6 9 city blocks

6 8 14

7 9 10

8 15 17

Answer:

1 1/3 x 1/3 =234/6

Step-by-step explanation:

your mama

Answer:

50% or 1/2

Step-by-step explanation:

There is an even amount of even and odd numbers on a number cube, therefor it is split half and half, giving you 50%.

50% or 1/2

(i may be wrong but i had this for a hw problem)

Answer:

C. (100)(1/6)

Step-by-step explanation:

This is based on the "number cube" being a regular 6-sided die. You have a 1 out of 6 chance of rolling a 4 each time you roll the die. So that chance times 100 rolls is your answer.