What is the slope of the line?
A. 3/4
B. -3/4
C. -4/3
D. 4/3

Answer:

(1) The slope of the line segment AB is 1.[tex]\bar 3[/tex]

(2) The length of the line segment AB is 10

(3) The coordinates of the midpoint of AB is (5, 7)

(4) The slope of a line perpendicular to the line AB is-0.75

Step-by-step explanation:

The coordinates of the line segment AB are;

A(2, 3) and B(8, 11)

(1) The slope of a line segment is given by the following equation;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where;

(x₁, y₁) and (x₂, y₂) are two points on the line segment

Therefore;

The slope, m, of the line segment AB is given as follows;

A(2, 3) = (x₁, y₁) and B(8, 11) = (x₂, y₂)

[tex]Slope, \, m_{AB} =\dfrac{11-3}{8-2} = \dfrac{8}{6} = 1 \frac{1}{3} = 1.\bar3[/tex]

The slope of the line segment AB = 1.[tex]\bar 3[/tex]

(2) The length, l, of the line segment AB is given by the following equation;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Therefore, we have;

[tex]l_{AB} = \sqrt{\left (11-3 \right )^{2}+\left (8-2 \right )^{2}} = \sqrt{64 +36} = 10[/tex]

The length of the line segment AB is 10

(3) The coordinates of the midpoint of AB is given as follows;

[tex]Midpoint, M = \left (\dfrac{x_1 + x_2}{2} , \ \dfrac{y_1 + y_2}{2} \right )[/tex]

Therefore;

[tex]Midpoint, M_{AB} = \left (\dfrac{2 + 8}{2} , \ \dfrac{3 + 11}{2} \right ) = (5, \ 7)[/tex]

The coordinates of the midpoint of AB is (5, 7)

(4) The relationship between the slope, m₁, of a line AB perpendicular to another line DE with slope m₂, is given as follows;

[tex]m_1 = -\dfrac{1}{m_2}[/tex]

Therefore, the slope, m₁, of the line perpendicular to the line AB, that has a slope m₂ = 4/3 = 1.[tex]\bar 3[/tex] is given as follows;

[tex]m_1 = -\left (\dfrac{1}{\frac{4}{3} } \right ) = -\dfrac{3}{4} = -0.75[/tex]

The slope, m₁, of the line perpendicular to the line AB is m₁ = -0.75.

Answer:

C

Step-by-step explanation:

the square root of 1/4 is 0.5 which is positive, rational, and between 0 and 1

Answer:

The answer is sqaure root of 1/4

Step-by-step explanation:

Your Welcome Plz Mark Brainliest. I got this because the sqaure root of 1/4 is 0.5 which is bewteen 1 and 0 and it is positive and rational! If you are wondering how to get the sqaure root then here is the steps

1. Simple deduction 1/4 in 1 to the power of 2 and 2 to the power of 2

2.We can simplfy this to 1/2 to the power of 2

3. This will equal 1/2 which is also equal to 0.5

Plz condsierdate giving Brainliest Thanks :)

Answer:

the answer is [tex]y=-x+5[/tex]

Step-by-step explanation:

I hope this helps! :)

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

[tex]10 {}^{5} = 1000000[/tex]

So,

4.6*1000000

Therefore, 46000000

Answer:

0.25

Step-by-step explanation:

Here, we want to find the constant of proportionality that relates total cost in dollars to number of tickets purchased

Mathematically, that will be ;

7.50/30 = 1/4 = 0.25

Kindly note we can select any pair

The ratio of both at any point in time is constant

Answer:

[tex]y=6x-10[/tex]

Step-by-step explanation:

First, we can find the slope using the two given points.

[tex]m=\frac{y2-y1}{x2-x1}=\frac{-22-8}{-2-3}=\frac{-30}{-5}=6[/tex]

Then, we can use the slope we just found and one of the given points to find the y-intercept.

[tex]y=mx+b\\y=6x+b\\8=6(3)+b\\8=18+b\\b=-10[/tex]

And we can put our equation together.

[tex]y=6x-10[/tex]

Hope this helps!

Answer:

149 degrees

Step-by-step explanation:

Since m and n are parallel you need to remember the rules of transversals, this means that <1 and <2 are corresponding. Corresponding angles are always congruent, so we can solve for x by setting them equal to each other.

[tex]8x-1=7x+3[/tex]

First, move the variables to one side, I will move them both to the right, but remember you can do it on either side. To do this subtract 7x from both sides

[tex]8x-1-7x=7x+3-7x[/tex], then simplify

[tex]x-1=3[/tex]

Next, add 1 to both sides to isolate the variable

[tex]x-1+1=3+1[/tex], then simplify

[tex]x=4[/tex]

Now that you know what x equals solve for angle 1, to do this plug 4 in for x in the original equation

[tex]8(4)-1=31[/tex]

Finally, you can solve for <3 because <1 and <3 are supplementary. So to solve add both and set them equal to 180, in this equation let x stand for <3. [tex]180=31+x[/tex], then subtract 31 from both sides [tex]180-31=31+x-31[/tex] and simplify, [tex]149=x[/tex]. So angle 3 is equal to 149.

Answer:

c = 4

Step-by-step explanation:

p(x) is divisible by (x - 3).

So, p(3) = 0

-(3)³ + c(3)² - 4 *3 + 3 = 0

-27 + 9c - 12 + 3 = 0

         9c - 36     = 0

                9c     = 36

                     c = 36/9

c = 4

Answer:

7.56

Step-by-step explanation:

i did was 49.56 - 42,00 to see how much tip they did.

The answer is 100 degree

Given :

The cooper family owns a luxery sedan and a compact car the fuel tank capacity for the luxury seden is 22.45 gallon and of the compact car is 8.7 gallons.

To Find :

The difference in the fuel tank of the two car.

Solution :

Capacity of sedan, S = 22.45 gallons.

Capacity of compact car, C = 8.70 gallons.

Difference in the capacity :

D = S - C

D = 22.45 - 8.70 gallons

D = 13.75 gallons

Therefore, difference in the fuel tank of the two car is 13.75 gallons.

Hence, this is the required solution.

Answer:

There are 7 teams in the league

Step-by-step explanation:

Given that the number of games is given by:

[tex]G(n) = \frac{(n^2-n)}{2}[/tex]

The equation will be used to determine the number of games. As we already know, that 21 games are scheduled which means G(n) is 21 so we have to find n when G(n) is 21

Putting this mathematically

[tex]21 = \frac{n^2-n}{2}[/tex]

Multiplying equation by 2

[tex]2*21 = 2*\frac{n^2-n}{2}\\42 = n^2-n\\n^2-n-42 = 0\\n^2-7n+6n-42 = 0\\n(n-7)+6(n-7) = 0\\(n-7)(n+6)=0\\n-7 = 0 => n=7\\n+6=0 => n=-6[/tex]

As the number of teams cannot be negative, the number of teams in league are 7.

Hence,

There are 7 teams in the league

Answer:

2 m

Step-by-step explanation:

The length and width of a rectangular garden is 10 m and 3 m respectively.

He will double the area of the garden by adding the same number of meters to both the length and the width. Area = 2(10 × 3) = 60 m².

Let x is amount of increase in the length and width such that area will be :

(10+x)(3+x) =60

30+10x+3x+x² = 60

x²+13x-30=0

x²+15x-2x-30=0

x(x+15)-2(x+15)=0

x=2 and x = -15

Neglecting negative value, he aded 2 m toboth length and width of the garden.

Answer:

X=135

Step-by-step explanation:

180-69-66=45

And the angle of a line is also 180 and 180-45=135

Answer:

[tex]y=-\frac{1}{4}x+\frac{9}4}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x₁ , y₁) = (3, -3) & (x₂ , y₂) = (1 , 2)

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

        [tex]= \frac{2-3}{1-[-3]}\\\\= \frac{-1}{1+3}\\\\=\frac{-1}{4}[/tex]

m = (-1/4)

y - y₁ = m(x - x₁)

[tex]y - 3 = \frac{-1}{4}(x - [-3])\\\\y - 3 = \frac{-1}{4} (x + 3)\\\\y - 3 = \frac{-1}{4}x-\frac{3}{4}\\\\ y = \frac{-1}{4}x-\frac{3}{4} + 3\\\\ y =\frac{-1}{4}x+\frac{-3+12}{4}\\\\ y =\frac{-1}{4}x+\frac{9}{4}[/tex]

Answer:

Square

Step-by-step explanation:

the quadrilateral obtained by joining the mid points of adjacent sides of a square is a square

Answer:

40m

Steps:

1000cm=10m

72m:18=10:x

x=(10*72)/18 = 40

Hope this helps, have a great day

Answer:

A is the correct answer.

Step-by-step explanation:

Answer:

The last one I did the math

Answer:

D

Step-by-step explanation:

bc it is just put it

Answer:

A. X-y=6 and x=y+6 I'm pretty sure

Answer:

c

Step-by-step explanation:

Answer:

(2.4)(10)−4

=20

Step-by-step explanation:

Answer:

The answer is 14 and 9

Step-by-step explanation:

Answer:

[tex]answer14[/tex]

hope it will be helpful to you

Answer: 44000

Step-by-step explanation:

From the question, we are informed that the population of Queens increased by 16,075.

Brooklyn's population increased by 11,870 more than the population increase of Queens. This means that Brooklyn's population will be:

= 16075 + 11870

= 27945

The total combined population increase of Queens and Brooklyn from 2010 to 2011 will then be:

= 16075 + 27945

Estimating 16075 gives 16000

Estimating 27945 gives 28000

Adding then together equals

16000 + 28000 = 44000

Answer:

2880 if u multiply

Step-by-step explanation:

make me the brainlest

plz

i need 3 more

crown me

Answer: No

Step-by-step explanation:

An arithmetic sequence is one where the same number is being added to the number before it. For example, 2, 4, 6, 8..., where 2 is being added to each number.

In this case, however, the number being added is not consistent with this pattern. Between 5 and 9, the difference is 4 and between 9 and 14, the difference is 5, and so forth. This pattern does not follow the rules of an arithemtic sequence.