find the distance, midpoint, and slope of line AB. A(-2,-1) and B(6,3)

Answers

Answer 1

Answer:

[tex]Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5[/tex]

[tex]Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992[/tex]

[tex]Mindpoint =\left(2,\:1\right)[/tex]

Step-by-step explanation:

[tex]Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5[/tex]

[tex]0 = arctan(\frac{y}{x} = 26.565051177078^o[/tex]

[tex]Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992[/tex]

X = 6 – -2 = 8

Y = 3 – -1 = 4

Equation of the line:

y = 0.5x

When x=0, y = 0

When y=0, x = -0

Midpoint:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(6,\:3\right)[/tex]

[tex]=\left(\frac{6-2}{2},\:\frac{3-1}{2}\right)[/tex]

[tex]=\left(2,\:1\right)[/tex]


Related Questions

30x - 12y
i need help

Answers

Step-by-step explanation:

if you factor it will be 6(5x-2y)

if you graph the slope will be 5/2

Which one is not a function??

Answers

Answer:

The first one. All the x values are 2. So it wouldn't pass the vertical line test.

Step-by-step explanation:

need help on this one

Answers

Answer:

[tex]g(x)=\frac{1}{8} x^{3} -\frac{3}{2} x^{2} +6x-5[/tex]

Step-by-step explanation:

[tex]x=2\sqrt[3]{y-3} +4[/tex]

switch the x and y, then use order of opperations

5+(3²-4)-6/3 please help

Answers

Answer:8 is the answer.Step-by-step explanation:5 + (3² - 4) - 6/3=> 5 + (9 - 4) - 6/3=> 5 + 5 - 6/3=> 5 + 5 - 2=> 8Conclusion:

Therefore, 8 is the answer.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

QUICK I NEED HELP ANSWERING THIS I WILL GIVE YOU BRAINLIST

Answers

Answer:

Step-by-step explanation:

Rule: the largest angle is ALWAYS opposite the longest side, and the converse is also true: the longest side is always opposite the largest angle. So the largest side is E which is B

If b = ⟨6,5⟩, and c = ⟨2,9⟩, find a = 5b − 6c.

Answers

Answer:

< 18, - 29 >

Step-by-step explanation:

a = 5b - 6c

   = 5 < 6, 5 > - 6 < 2, 9 > { multiply each element by the scalar ]            

   = < 30, 25 > - < 12, 54 > [ subtract corresponding elements ]

   = < 30 - 12, 25 - 54 >

    = < 18, - 29 >

Answer:

a=(18,-29)

Step-by-step explanation:

You plug (6,5) in for 5b and you plug (2,9) in for -6c so now you get a=5(6,5)-6(2,9) then you cross multiply the 5 and the -6 therefore you get a=(30,25)+(-12,-54) then you add them together getting the answer a=(18,-29).



At what point does the terminal side of the angle 7pi /4 in standard position intersect the unit circle

Answers

Answer: it’s A

Step-by-step explanation: I just did the quiz

Kate took out a subsidized Stafford loan worth $9,710 to pay for college. The interest rate on the loan was 5. 9%, compounded monthly. It took Kate 5 years to pay off the loan after graduation. What portion of the total amount she paid represented the interest? a. $11,236. 22 b. $9,710. 00 c. $1,526. 22 d. $2,942. 37.

Answers

Answer:

the answer is 10,0000

Step-by-step explanation:

What is x? Show your work.

Answers

Answer: x=2

Step-by-step explanation: 28/4-5= 2

5) The bakers at Healthy Bakery can make 160 bagels in 5 hours. How many
bagels can they bake in 15 hours? What was that rate per hour?

Answers

Answer:

They can make 480 bagels in 15 hours. The rate is 32 bagels per hour. Hope this helped! if the answer is wrong i'm super sorry!

Step-by-step explanation:

160 = 5hr

160 x 3 = 480

5 x 3 = 15

480/15 = 32

a √(x^2-n/m)= a^2/b make x subject

Answers

[tex]\sqrt{x^2 -\dfrac nm} = \dfrac{a^2}b\\\\\implies x^2 - \dfrac nm = \dfrac{a^4}{b^2}\\\\\implies x^2 = \dfrac{a^4}{b^2} + \dfrac nm}\\\\\implies x = \pm \sqrt{ \dfrac{a^4}{b^2} + \dfrac nm}}[/tex]

Please Help Me Out Show You Work :) I will appreciate much

Answers

Step-by-step explanation:

6)

[tex]k = \frac{6}{4} \\ k = \frac{3}{2} [/tex]

7)

[tex] \frac{ab}{mn} = \frac{bc}{no} = \frac{cd}{op} = \frac{da}{pm} [/tex]

8)

[tex]y = 8 ( \frac{3}{2} ) \\ y = 12[/tex]

[tex]z = 6 ( \frac{3}{2} ) \\ z = 9[/tex]

9)

[tex]5k = 8 \\ k = \frac{8}{5} \\ x( \frac{8}{5}) = 32 \\ x = 20ft[/tex]

Find the common ratio of the geometric sequence 9, -18, 36, ...

Answers

Answer:

-2.

Step-by-step explanation:

-18/9 = -2.

36/-18 = -2.

We multiply by -2 to get the next number in the sequence.

Common ratio is -2.

Find the value of x.

Answers

Answer:

x = 19

Step-by-step explanation:

(5x+4)+(x-2)+(3x+7) = 180

5x+4+x-2+3x+7 = 180

9x+9 = 180

9x = 171

x = 171/9

x = 19

X=19 hope this helps

Calculate the average speed of an airplane, in miles per hour, if it travels 1,000 miles in 2

2 1 2

hours.

Answers

speed=distance ÷time1000m÷212 hours 4.71698m i hope this helps

The average speed of the airplane which travels the given distance and time is 400mph.

Speed

Speed is simply defined as distance traveled per unit of time. It is the change of position of a moving object per unit of time.

It is expressed as;

s = distance / time = d / t

Given the data in the question;

Distance travelled d = 1000miTime taken t = 2 and 1/2 hrs = 2.5hrsAverage speed; s = ?

To determine the average speed of the airplane, we substitute our given values into the expression above.

s = d / t

s = 1000mi / 2.5hrs

s = 400mph

Therefore, the average speed of the airplane which travels the given distance and time is 400mph.

Learn more about Speed and Velocity here: https://brainly.com/question/10566304

You guys can write a story or a situation that can be represented by the given equation.

4a + 5 = 12a - 11

Thank you :)​​

Answers

Answer: Situation:

Step-by-step explanation:

You are walking in a grocery store and you see a nice deal saying that if you buy 4 batches of 2 bananas, you will get 5 extra bananas free of charge. However you see in another store that for the same price, you can buy 12 batches of 2 bananas but 11 of them are always bad and are needed to be thrown out. You calculate which deal is better and you decide on the first one because you hate stinking bananas. Hope this helps!

:)

round 849,354 to the nearest hundredth.

Answers

Answer:

849,400

Step-by-step explanation:

hi

Answer:

I thinks it 849,400 bc you would round it up because it over half

What is m<6
A.80
B. 100
C.70
D.110

Answers

Step-by-step explanation:

to fully answer we would need to see at least one specific size (segment lengths, angle sizes).

but there is not one in the whole visible picture. so, everything just stays relative.

just be the presentation in the picture, angle 6 is larger than 90 degrees. so, B or D would be right.

if it helps you, it is clear that 6 = 1 = 9 = 14 = 180-2 = 180-5 = 180-10 = 180-13.

HELP It's due in 15 minutes​

Answers

Answer:

L

Step-by-step explanation:

the actual height of the building in this scale drawing is 144 feet what is its actual width?

Answers

90 ft.

Set up this proportion:
144/x = 24/5

Y=-1,X+2y=-6 solve by substitution show all work

Answers

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

[tex]x+2y=-6[/tex]

[tex]y=-1[/tex]

_________

[tex]x+2\left(-1\right)=-6[/tex]

[tex]x-2\times \:1=-6[/tex]

Multiply: 2*1= 2

[tex]x-2=-6[/tex]

Add 2 to both sides:

[tex]x-2+2=-6+2[/tex]

[tex]x=-4[/tex]

________________

* Hope it helps

* Have a good day!

________________

Answer:

x = -4, y = -1

Step-by-step explanation:

Simple, just plug the Y in

(Pemdas)

x+2(-1) = -6

x-2 = -6

x = -4

-4+2y = -6

2y = -2

y = -1

Hello could someone help me I don’t get this? Will name brainliest :D if correct answer please no links

Answers

Answer:

  A -- only

Step-by-step explanation:

A segment bisector intersects a segment at its midpoint.

S is the midpoint of segment PQ, so ST is a segment bisector. (It intersects PQ at its midpoint, S.)

No other midpoints are shown in this drawing.

__

A perpendicular bisector is perpendicular to the segment it bisects. None are shown in this drawing.

__

An angle bisector divides an angle into two congruent parts. None are shown in this drawing.

__

The vertex of a right angle is often marked with a small square. Only point P is the vertex of a right angle in this drawing. (We cannot assume OPQR is a square.)

show that 12n cannot end with the digit 0 or 5 for any natural number​

Answers

Answer:

Step-by-step explanation:

It can end with a 0.

For example 12 * 5 = 60.

A pole that is 3.1 m tall casts a shadow that is 1.57 m long. At the same time, a nearby tower casts a shadow that id 50.5 m long. How tall is the tower? Round your answer to the nearest meter.​

Answers

Step-by-step explanation:

an object and its shadow create a right-angled triangle.

2 objects and their shadows at the same time create therefore two similar right-angled triangular

triangles.

that means the angles are the same, and each side length of one triangle correlates to the corresponding side length of the other triangle by the same factor.

so, when we know the factor of one pair of sides, we can calculate the lengths of the others by using the same factor.

therefore,

1.57 × f = 50.5

f = 50.5 / 1.57 = 32.1656051...

the height of the tower is then

3.1 × f = 3.1 × 32.1656051... = 99.7133758... m ≈ 100 m

(3x – 1) : (x - 2) = x – 2x (x—4)
срочно, сор.

Answers

[tex]\frac{3x-1}{x-2}=x-2x(x-4) <=>\frac{3x-1}{x-2}=x-2x^{2} +8x \\<=>\frac{3x-1}{x-2}=-2x^{2} +9x<=>3x-1= (-2x^{2} +9x)(x-2)\\<=>3x-1= -2x^3+4x^{2} +9x^{2} -18x\\<=>3x-1=-2x^3+13x^{2} -18x\\<=>2x^3 -13x^{2} +18x+3x -1=0\\<=>2x^3 -13x^{2}+21x-1=0\\<=> x =0.05 /or/x=3.7[/tex]

ok done. Thank to me :>

Answer two questions about Equations AAA and BBB:
\begin{aligned} A.&&3x-1&=7 \\\\ B.&&3x&=8 \end{aligned}
A.
B.




3x−1
3x


=7
=8

Answers

Answer:

I don,t knowe wallh

Step-by-step explanation:

According to legend, in 1589 the Italian scientist Galileo

Galilei dropped two rocks of different weights from the top of the Leaning Tower

of Pisa. He wanted to show that the rocks would hit the ground at the same time.

Given that the tower's height is about 177 feet, how long would it have taken for

the rocks to hit the ground?

1

To solve this problem solve the equation

O= 16t² + 177 Round to the hundrettes place,

Don't forget

to label your

answer

Answers

From the information given, the time taken for the rock to hit the ground will be 3.326 seconds.

From the information given, the formula for the height is given as:

h(t) = -16t² + v + h0

where,

h0 = 177

h(t) = 0

We'll put the values back into the formula. This will be:

h(t) = 16t² + v + h0

0 = -16t² + 177

16t² = 177

t² = 177/16

t = 3.326

Therefore, the time taken will be 3.326 seconds.

Learn more about time on:

https://brainly.com/question/2147281

in the diagram m∠UYF= 42 1/8

What is ∠FYT?

Answers

Step-by-step explanation:

FYT and UYF are supplementary angles (together they cover all angles around Y on one side of the line TU, and that's is in total 180°).

so,

FYT = 180 - 42 1/8 = 137 7/8°

as 180 - 42 = 138, and then we subtract another 1/8. that gives 137 7/8.

Please help me with this question​

Answers

Answer:

F

Step-by-step explanation:

Answer:

  F

Step-by-step explanation:

You only need to read as far as ...

  y ≤

to choose the correct graph. The values in the solution will be less than or equal to those on the boundary line. That means the graph will be shaded below the line, and the line will be solid (because it is part of the solution).

The graph with a solid line and shading below is graph F.

a perfect score in bowling is 300 points. you get a perfect score if you knock down 120 pins in 10 frames. what are the decimal value and percent of the number of pins knocked down in a relation to a perfect score?

Answers

Answer:

number of pins to perfect score

120/300=40/100

percent means parts out of 100

40/100=40%

answer is 40% or 0.40

NOTE: To find the percentage we will multiply decimal value of  number of know down pins to a perfect score by 100

Number of know down pins to a perfect score= 0.4 x 100

Number of know down pins to a perfect score=40%

If correct please give brainliest

Stay safe and healthy

Thank You

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