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The area of the triangle DAN is 60 square units if the vertices of ΔDAN have coordinates D(-6,-1), A(6,3), and N(-3,10) option first is correct.

The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have triangle DAN which is graphed on the set of axes.

The vertices of ΔADN have coordinates:

D(-6, -1), A(6, 3), and N(-3, 10)

We can find the area of the triangle using the coordinates of the triangle such as:

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]

Let's denote the coordinates N(-3, 10), D(-6, -1), andA(6, 3), and with

[tex]\rm (x_1, y_1), (x_2, y_2), \ and \ (x_3,y_3)[/tex] respectively.

Put these points in the above expression, we get:

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [-3(-1-3)-6(3-10)+6(10-(-1))][/tex]

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [-3(-4)-6(-7)+6(11)][/tex]

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [12+42+66][/tex]

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [120][/tex]

Area of the triangle = 60square units

Thus, the area of the triangle DAN is 60 square units if the vertices of ΔDAN have coordinates D(-6,-1), A(6,3), and N(-3,10) option first is correct.

Learn more about the triangle here:

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Answer: 6,300 m^3

Step-by-step explanation:

Put numbers into calculator

A resposta é -5, como diz na pergunta.

Answer:

The person with the most water left is;

Tia

Step-by-step explanation:

The parameters given in the question are;

The volume of water Sherry and Karl both started their hike with = 1 small bottle each

The volume of water Tia started her hike with = 1/2 of a larger bottle of water

The volume of water Sherry had at the end of the hike = 1/2 of the small bottle of water

The volume of water Tia had at the end of the hike = 1/2 of the large bottle of water

The volume of water Karl had at the end of the hike = 1/3 of the small bottle of water

Let 'x' and 'y' represent the sizes of the bottles of water with Sherry and Karl  respectively and let 'Z' represent the size of the bottle of water Tia started the hike with, we have;

The volume water with Tia at the end of the hike = 1/2·x

The volume water with Karl at the end of the hike = 1/2·y

The volume water with Tia at the end of the hike = 1/2·Z

Given;

Z > x

Z > y

∴ 1/2·Z > 1/2·x

1/2·Z > 1/3·y

Therefore, Tia with half of the larger bottle of water at the end of the hike, 1/2·Z has the most water left.

Answer:

Ernie is incorrect.

Step-by-step explanation:

I suppose that we want to see if Ernie statement is correct or not.

Suppose that we have a line that passes through the points (x₁, y₁) and (x₂, y₂)

The slope of that line can be calculated as:

slope = (y₂ - y₁)/(x₂ - x₁)

In this case, we know that the line passes through (0, 0) and (3, 3), then the slope of this line is:

slope = (3 - 0)/(3 - 0) = 3/3 = 1

Then Ernie got the slope wrong, which means that he is wrong.

Answer is 6.

Explaination:

When subtracting a negative number, the number becomes positive and the minus sign to a plus sign.

Answer:

yo

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

let me know if this was right or wrong

Answer:

I think its two eqautions

Answer:

b

[tex]\int\limits^a_b {x} \, dx[/tex]

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

divide the two numbers.

Answer:

-6

Step-by-step explanation:

substitute -6 for x in the equation g(x)=-3x-8

= -3(-6) -8

=18-8

=10

hope this helped!

Answer:

3, 3

Step-by-step explanation:

[tex]n^2 - 6n + 9 = 0 \\ n^2 - 3n - 3n+ 9 = 0 \\ n(n - 3) - 3(n - 3) = 0 \\ (n - 3)(n - 3) = 0 \\ n - 3 = 0, \: \: n - 3 = 0 \\ n = 3, \: \: n = 3[/tex]

Thus, the two numbers are 3, 3

The ball reaches a height of 126.58 ft after 2.8125 seconds

Step-by-step explanation:

The maximum height of a parabola can always be found by looking for the vertex. You can find the x value (or in this case the t value) of a vertex by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.

-b/2a

-(90)/2(-16)

-90/-32

2.8125 seconds

Now to find the height, we input that value in for t

h = -16t^2 + 90t

h = -16(2.8125)^2 + 90(2.8125)

126.58 feet

Answer:

The sample mean would more closely model the population mean.

Step-by-step explanation:

Answer:

x [tex]\geq 11[/tex]

Step-by-step explanation:

x can equal anything -11 and above

Answer:

(x+2)(x2-2x+4).

Step-by-step explanation:

Answer:

A) (x + 2)(x2 – 2x + 4).

Step-by-step explanation:

on edge

Answer:

I'm going to say true because that's the most logical answer

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

x / 100 = 0.2

Multiply both sides by 100 to isolate x. 100 x 0.2 = 20

In the given expression the missing term is 20.

Use the concept of fraction defined as:

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

The given expression is:

?/100 = 0.2

Then we have to find out the missing term.

Let the missing term is x

Therefore, we can write,

x/100 = 0.2

Multiply 100 on both sides we get,

x = 0.2 x 100

x = 20

Hence,

The missing term is 20.

To learn more about the fraction visit:

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#SPJ6

Answer:c.7ft/yr

Step-by-step explanation:

Answer: 1249 hrs

Step-by-step explanation:

Sophia walked for 12 km to get to her aunt's house.

She did this at a speed of 5km/h which means that the time taken was:

Time = Distance / Speed

= 12 / 5

= 2.4 hours

2.4 in hours:

= 0.4 * 60 minutes

= 24 minutes

= 2 hours 24 minutes

If she left at 1025, she would arrive at:

= 1025 + 2 hours 24

= 1249 hrs

Answer:

the best anime is death note.

Step-by-step explanation:

Answer:

My hero Achadamia is my fav. um Attack of the titan Black Clover and Fruits basket thats all i can name lol

Step-by-step explanation:

Step-by-step explanation:

The frequency of a radio wave that has a wavelength of 3000m is 100 kHz

(a) Wavelength = 500 m

We know that,

[tex]f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{500}\\\\f=600\ kHz[/tex]

(b) Frequency, f = 800 kHz

[tex]\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{800\times 10^3}\\\\\lambda=375\ m[/tex]

Hence, this is the required solution.

Answer:

A≈603.19in²

Step-by-step explanation:

sorry if it's wrong

Answer:

603.19

Step-by-step explanation:

Answer:

1) 0.04, 3.6

2) 0.35, 49

Step-by-step explanation:

Answer:

1. 90x0.04= 3.6

2. 140x0.35=49

Step-by-step explanation:

convert to decimal to calculate the percent.