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

Answers

Answer 1

Answer:

The correct answer is (2,1)

Step-by-step explanation:

Answer 2

The distance, midpoint, and slope  are 4√5 , (2 , 1) , 1/2 respectively.

What are the distance, midpoint, and slope  between two points?

For any two points A( x₁ , y₁ ) B( x₂, y₂)   the distance, midpoint, and slope  are given by:  1)     [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]  

                       2)  M(x , y) = { (x₁ + x₂)/2 , (y₁ + y₂)/2 }

                      3)  m= y₂ - y₁ / x₂ - x₁

Given here the points A(-2,-1) and B(6,3)

substituting the values we get,

1) [tex]d = \sqrt {\left( {-2- 6} \right)^2 + \left( {-1 - 3} \right)^2 }[/tex]    

  [tex]d = \sqrt {\left( {8 } \right)^2 + \left( {4 } \right)^2 }[/tex]

[tex]d = \sqrt {\left( 80{ \right)^ }[/tex]

[tex]d =4\sqrt {\left5 }[/tex]

2)      M(x , y) = { (-2 + 6)/2 , (-1 + 3)/2  }

                     =  (2 , 1)

3)  m = { (6 - (-2) / (3 - (-1)) }

        = 1/2

Hence,  distance, midpoint, and slope  are 4√5 , (2 , 1) , 1/2 respectively.

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Related Questions

Consider the rates 4/5 miles in 8 minutes and 4 minutes to travel 2/5 mile

Answers

Answer:

960

Step-by-step explanation:

I'm not sure exactly what's the question, but here's what I found. Lets first put it in our own words.

Consider the speed 4/5 miles in 12 minutes to travel 2/8.

8 + 4 = 12, so you can replace that with 12 minutes.

Now, you can absolutely guess your question.

Time = 12 minutes.

Distance = x (Let x be distance)

Speed = 4/5.

Now, you find distance.

Distance Formula: You can use the equivalent formula d = st which means distance equals rate times time.

So 4/5 × 12, is 9.6.

In fraction, if you have 1 numbers after the decimal point, multiply both numerator and denominator by 10. So 9.6 = (9.6 × 10) × 10 = 960.

Here is a pattern I found

2/5 divided by 4 is 1/10

4/5 divided by 8 is 1/10

If , we consider the given rates , we find that both rates are equivalent.

Two rates are given which are 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.

We have to find out what they actually indicate.

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

Two rates are given which are ;  4/5 miles in 8 minutes and 2/5 miles in 4 minutes.

Let's find out what they are actually indicating.

So ;

If , distance travelled in 8 minutes = 4/5 miles

Then ;

In 1 minute , distance travelled will be ;

= [tex]\frac{4}{5*8}[/tex]

= [tex]\frac{4}{40}[/tex]

= 1 / 10 miles

and

If , distance travelled in 4 minutes = 2/5 miles

Then ;

In 1 minute , distance travelled will be ;

= [tex]\frac{2}{5*4}[/tex]

= [tex]\frac{2}{20}[/tex]

= 1 / 10 miles

So , we can conclude that both rates are equivalent.

Thus , if we , consider the given rates , we find that both rates are equivalent.

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What is the value of the expression when a = -5 and c = -1?

Answers

Answer:

(8-5) + (16-1)=18

what is central and inscribed angle​

Answers

Answer:

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. The other two endpoints define what we call an intercepted arc on the circle. The intercepted arc might be thought of as the part of the circle which is "inside" the inscribed angle.

What Ps the value
of (100)^o​

Answers

Answer:

(100)^0=1

Step-by-step explanation:

This follows the laws of indices

What is the answer to 0.5x(y - z) in distributive Property?

Answers

Answer- 0.5xy-0.5xz

What is the slope of the line? (Linear equations and slope quiz I-ready)

Answers

Answer: 2

Step-by-step explanation:

The slope of the linear graph in the question obtained using the ratio of the rise and run of the line is 2.

Recall :

Slope = Rise / Run

From the graph :

Rise = y2 - y1 = 5 - (-1) = 5 + 1 = 6

Run = x2 - x1 = 2 - (-1) = 2 + 1 = 3

The slope of the graph can be expressed thus :

Slope = Rise / Run = 6 /3 = 2

Therefore, the slope of the line in the graph attached is 2

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If the perimeter of the triangle is 40 cm, find the area of the triangle.

The area of the triangle is, ? cm2.

Answers

Answer:

102 cm²

Step-by-step explanation:

Perimeter is:

P = 40 cmand P = 2x - 4 + 5x - 13 + x + 9 = 8x - 8

Comparing the value:

8x - 8 = 40 8x = 48x = 8 cm

Are formula:

A = 1/2ah

Replacing values:

A = 1/2(x + 9)(2x - 4)A = 1/2(8 + 9)(2*8 - 4) = 1/2*17*12 = 102 cm²

Answer:

60cm²

Step-by-step explanation:

To find :-

The Area of the triangle .

We know that Perimeter is the sum of sides of a triangle. Here the perimeter is 40cm .

→ 2x - 4 +5x - 13 + x + 9 = 40cm .

→ 8x - 8 = 40cm

→ 8x = 40+8 cm

→ 8x = 48 cm

→ x = 6cm .

We know that the area of the triangle is half the product of base and height .

Base = x + 9 = 15cm Height = 2x -4 = 8cm .

→ A = 1/2 × b × h

→ A = 1/2 × 8cm × 15cm

→ A = 60cm²

Hakim Ellison wants to buy a 4 door sport utility vehicle 4 wheel drive hybrid. There is an 8% sales tax on the purchase price of the SUV in his state. If he pays the full sticker price for the SUV, how much is the total?

Answers

Answer: $60401.16

Step-by-step explanation:

From the attached image, the total price for the vehicle = $55,927.

If he were to pay the full sticker price for the SUV, the total would sum up to

= $55,927 + 8% sales tax

= $55,927 + 8/100( $55,927)

= $55,927 + 0.08($55,927)

= $55,927 + $4474.16

= $60401.16

The total would sum up to $60401.16

Can someone answer this for me ill give brainliest asap

Answers

the answer is non linear

Compare 6 ⋅ 108 to 3 ⋅ 106

6 ⋅ 108 is 2,000 times larger than 3 ⋅ 106.
6 ⋅ 108 is 200 times larger than 3 ⋅ 106.
6 ⋅ 108 is 20 times larger than 3 ⋅ 106.
6 ⋅ 108 is 2 times larger than 3 ⋅ 106.

Answers

Answer:

6 ⋅ 108 is 2 times larger than 3 ⋅ 106.

(6 x 10^8) ÷ (3 x 10^6) = 200

So the answer is 6 ⋅ 10^8 is 200 times larger than 3 ⋅ 10^6.

Hopes it helps.

The points (10, 8) and (19, 17) fall on a particular line. What is its equation in slope-intercept
form?

Answers

Answer:

Step-by-step explanation:

First, find the slope using the two given points and the slope equation.

[tex]m=\frac{y2-y1}{x2-x1}=\frac{17-8}{19-10}=\frac{9}{9}=1[/tex]

We can enter [tex]m[/tex] into our slope-intercept form now.

[tex]y=mx+b\\y=1x+b\\y=x+b[/tex]

Now, plug in one of the given points to solve for b.

[tex]8=10+b\\b=-2[/tex]

So our final form is:

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

Hope this helps!

The equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.

What is the general equation of a straight line?

The general equation or the slope - intercept form of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is a line such that points (10, 8) and (19, 17) lie on this line.

The given coordinates are (10, 8) and (19, 17).

First, we will find the slope of the line as follows -

m = (17 - 8)/(19 - 10)

m = 9/9

m = 1

So, the equation of the line will be -

y = x + c

Now, we will find the y - intercept. As the line pass through the point

(10, 8), we can write -

8 = 10 + c

c = 8 - 10

c = -2

So, the equation of the line will be y = x - 2.

Therefore, the equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.

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someone help meh please:)
simplify the complex fraction -3/5 2 1/4​

Answers

Answer: =−1 7/20

(Decimal: -1.35)

Step-by-step explanation: Hope this helped, Happy new years!

what is. the value of x in the equation 2.5(6x-4)=10+4(1.5+0.5x)?

Answers

Answer:

x=2

Step-by-step explanation:

We first distribute this. So we have 15x-10 = 10 + 6 +2x.

Then we move the variable to one side and have 13x= 10+10+6

Simplify to get 13x = 26.

x=2

A bricklayer can build a wall of a certain size in 5 hours. Another bricklayer can do the same job in 4 hours. If the bricklayers work together, how long would it take to do the job?
a. 9h
b. 2(2/9)h
c. 20h
d. 4(1/2)h

Answers

Answer:

b

Step-by-step explanation:

It will take [tex]\frac{20}{9}[/tex] hours as per linear equation to complete the wall.

What is a linear equation?

A linear equation is an equation where the variable of the equation has the highest power of degree one.

Given, the 1st bricklayer build a complete wall of certain size in 5 hours.

Therefore, that bricklayer build [tex]\frac{1}{5}[/tex]th of the complete wall in 1 hour.

Similarly, the 2nd bricklayer build a complete wall of certain size in 4 hours.

Therefore, that bricklayer build [tex]\frac{1}{4}[/tex]th of the complete wall in 1 hour.

If they work together, in 1 hour they build a total of ([tex]\frac{1}{5}[/tex]+[tex]\frac{1}{4}[/tex])th = [tex]\frac{9}{20}[/tex] of the complete wall.

Hence, they will complete the wall in (1÷[tex]\frac{9}{20}[/tex]) hours = [tex]\frac{20}{9}[/tex] hours.

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Demons answer this for me.

Answers

Answer:

Step-by-step explanation:

if you have negative numbers of x (this means negative meters) then the equation transform them into negative yards.

then replace y by 40yd in the equation like

40 = 1.09x

x = 40/1.09 = 36.7 meters

so in a 40yd race, there are 36.7 meters.

A= 12.8m
B=13.9m
C=12m
D= 7m

Answers

Answer:

C: 12m

Step-by-step explanation:

We can solve this by using the Pythagorean Theorem [tex]a^{2} + b^{2} = c^{2}[/tex]

For this triangle

a= x   b= 5   c= 13

We now have the equation

[tex]x^{2} + 5^{2} =13^{2}[/tex]

If we simplify this we get

[tex]x^{2} + 25 = 169[/tex]

Next, we subtract 25 from both sides

[tex]x^{2} = 144[/tex]

Finally, if we take the square root of both sides of the equation, we find that

x= 12

What number should be included in the data set 9, 12, 8, 3, 11, 19, 23, 30, 21 if the range is 45?
a.46
b.-15
c.-3
d.39​

Answers

Answer:

b:-15

Step-by-step explanation:

There are 9 num in the set sowe add all the num and the we divide the answer we got

Answer:

The answer is:

b) - 15

Hope it helps:D

please help me!!!!!!!!!!!!!

Answers

Let x be the length of each row.
Denver can plant 3 rows of a certain length with 2 seedlings leftover.
Total number of seeds he has = 3x+2 Denver can plant 4 rows of the same length with 3 seedling spots left empty.
Total number of seeds he has = 4x-3 Using (i) and (ii), we get= 3x+2=4x-3

Isolate variable terms: 2+3=4x-3
Answer= 5=X

can someone help me T-T

Answers

Answer:

This should be the answer

Step-by-step explanation:

One = a, c, f, e

Infinite = d

No = b

nya wants to buy a sweater that had an original price of 55. the sweater is now discounted 20% and the sales tax rate is 5.5%. how much will nya pay for the swearter

Answers

Answer:

Step-by-step explanation:

55 - 20% = 44

5.5% of 44 = 2.42

2.42 + 44 = 46.42

hope this helps. :]

Using the laws of indices simplify 625^3/8 ×5^1/2÷ 25​

Answers

Answer:

1

Step-by-step explanation:

[tex] \huge {625}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div 25 \\ \\ = \huge {( {5}^{4})}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ = \huge{5}^{ \cancel4 \times \frac{3}{ \cancel8 \: \: \red{ \bold 2}} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} + \frac{1}{2}} \div {5}^{2} \\ \\ \huge= {5}^{ \frac{4}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ 2 } \div {5}^{2} \\ \\ \huge= {5}^{ 2 - 2 } \\ \\ \huge= {5}^{ 0 } \\ \\ \huge= 1[/tex]

I need to know the answer quick

Answers

Answer:

v = 13

Step-by-step explanation:

Truly hope I helped fast enough:).


Find the equation of the line that is perpendicular to y = –3x + 1 and passes though the point (6, 3).
A) y =
1
3
x + 1
B) y = –
1
3
x + 1
C) y = 3x – 5
D) y = –3x – 5

Answers

Answer:

A. y=1/3x+1

Step-by-step explanation:

When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:

3=1/3*6+b

3=2+b

1=b

now you can replace the b with 1 in your equation to get your final answer of y=1/3x+1

One of the zookeepers solved to find Bernard's speed
when he is, healthy using the equation:
x - 41.5 = 13.5.
The other Zookeeper said that to solve for Bernard's
speed when he is healthy, they must use the equation:
41.5 + 13.5 = x.
Which zookeeper is correct? Explain.

Answers

The second zookeeper is correct you need two answers together to get x

Answer:

Well both zookeepers are correct but the second zookeepers answer was more accurate.

Step-by-step explanation:

The first zookeeper gave the equation :

[tex]x - 41.5 = 13.5[/tex]

So , In order to find Benards speed which is denoted as x , we would still have to collect like terms to isolate x.

The second zookeeper gave the equation :

[tex]41.5 + 13.5 = x[/tex]

In this equation the zookeeper had already isolated x so, only simple addition was needed to find Bernard's speed.

This equation is easier to solve.

Please do this because this is very hard for me

Answers

Answer:

she is charged 460 dollars because she has to pay 20$ each year she doesnt pay

Step-by-step explanation:

Answer:

she is charged 460 dollars because she has to pay 20$ each year she doesnt pay

Step-by-step explanation:

she is charged 460 dollars because she has to pay 20$ each year she doesnt pay

{(2,-2),(4,-2),(5,0),(5,2),(9,2),(9,4)} Domain: Range: Function:​

Answers

Answer:

Domain: {2,4,5,9}

Range: {-2,0,2,4}

Function: No

Step-by-step explanation:

Domain = x

Range = y

Domain: {2,4,5,9}

Range: {-2,0,2,4}

Function: No

Answer:

domain = { 2, 4, 5, 9 }

range = { -2, 0, 2, 4 }

function = one-to-many

Chantay made this square picture. She wants to glue yarn around the border to make a frame. How much yarn does she need?

Answers

Answer:

60 I

Step-by-step explanation:

because it would be 15 times 4 right I think

Please help me please!

Answers

Answer:

(2) 19

Step-by-step explanation:

[tex]2(3^x)+1[/tex][tex]2(3^2)+1[/tex][tex]2(9)+1[/tex][tex]18+1[/tex][tex]19[/tex]

2 (x - 3) + x(x + 1)

Answers

Answer:

[tex]x^{2}[/tex] + 3 - 6

Step-by-step explanation:

Answer:

x2+3x-6

Step-by-step explanation:

Find the area.

A. 91 ft

B. 78ft

C.77 ft

D. 105ft

Answers

Answer:

78

Step-by-step explanation:

11(a) + 15(b) / 2×6(h)

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