HELP ME PLS

If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..

A) the slope of the line AB

B) The length of the line AB

Answers

Answer 1

Answer:

Slope = 27/11AB = 29.15 u

Step-by-step explanation:

Given :-

Two points are given to us .The points are A(7,15) and B(18,42)

To Find :-

The slope of the line .The length of line AB .

We can find the slope of the line passing through the points [tex]( x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex]as ,

[tex]\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}[/tex]

Plug in the respective values ,

[tex]\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}[/tex]

Hence the slope of the line is 27/11 .

[tex]\rule{200}2[/tex]

Finding the length of AB :-

We can find the distance between them by using the Distance Formula .

[tex]\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }[/tex]

Hence the length of AB is 29.15 units .


Related Questions

Classify the pair of angles.
34°
O complementary
O supplementary
o vertical
Find the value of x.
x=

Answers

Answer:

supplementary

x = 146 degrees

Step-by-step explanation:

Answer:

supplementary

Step-by-step explanation:

M
135°
Angle JKL is a straight angle.
The measure of angle JKM is 135º.
The measure of angle MKL is xº.
What is the value of x

Answers

Answer: 45

Step-by-step explanation:

Hello there!

So this problem looks a lot more complex than it really is. First, we need to know that a straight line is 180 degrees. Since both of these angles must add up to 180, we just subtract 135 from 180. We then get 45.

Hope this helped! :D

Sorry if any information was incorrect or if i didn’t understand what you were asking. Just comment and I will reply back ready to help!

To what percent should the taxes for dog groomer be rounded in order to make reasonable estimates?

0%

5%

10%

20%

Answers

Say 5% if I m right

Please help me??? like im in serious need of help!

Answers

Answer:

16 square miles

Step-by-step explanation:

Hope this helped <3

Urgent! Please help!

Answers

Answer:

B

Step-by-step explanation:

A GCF would mean you can divide both terms by that number. For A it would be ac, C would have c, and D would be b, so the only one which cannot be divided by anything except 1 is B.

The answer would be B. Because A. Has a gcf of 1a, C. Has a gcf of 1c, and D. Has a gcf of 1b

can someone please help me and write out the answer​

Answers

9514 1404 393

Answer:

  -30°

  or 330° or -150° or 210°

Step-by-step explanation:

The angle whose sine is 1/2 is 30°. Here, the sine is negative, indicating the angle is in the 3rd or 4th quadrants.

The angles in those quadrants with a reference angle of 30° are -30° or -150°. As positive angles, these are 330° or 210°, respectively.

Generally, the sin⁻¹ function (also called the arcsin function) is defined to have a range of -90° to +90°. Within that range, we can say ...

  sin⁻¹(-1/2) = -30°

_____

Additional comment

There are a few trig functions it is worthwhile to remember. These are shown in the attachment. The ordered pair points on the unit circle are (cos(θ), sin(θ)). If you remember the values of these in the first quadrant for 30°, 45°, and 60°, then you can work most of these "without a calculator" problems. (You also need to know how the signs change in the different quadrants.)

Answer:

210 degrees

Step-by-step explanation:

This is the 'arcsin' or 'inverse sine' function.  As written,

arcsin (-1/2) is requesting the angle (in degrees) whose sine is -1/2.

Note that because the sine function is defined as (opposite side)/hypotenuse, the following equation is true:

 -1            opposite

------  =  -------------------  =  sin x, where x is an angle in degrees.

  2         hypotenuse

If the sine is negative, that means that the angle x lies in either Quadrant III or Quadrant IV.  We see that the magnitude of the opposite side is HALF the magnitude of the hypotenuse.  

Cycling counterclockwise from the positive x axis, and continuing through Quadrant II into Quadrant III, we get a ray (hypotenuse) that is twice the length of the opposite side.  The angle of this ray as measured from the positive x-axis is 180 degrees plus 30 degrees, or  210 degrees.

You can check this by finding sin 210° on a calculator; the result is -1/2, which is what we were given up front.

Cloe Dow purchased a hot tub for $5,000. She made a 50 percent down
payment and financed the remainder. What amount did she finance?

Answers

Answer:

She financed $2500

Step-by-step explanation:

If you multiply $5000 by 50% you will be $2500. This would be the amount she financed. Hope this helps

!!!WILL MARK BRAINLIEST!!
A circle has an Area of 225π Square Inches. If the Radius of the circle is multiplied by 6, then what is the area of the new circle formed?
A) 1000π in. Squared
B) 2270π in. Squared
C) 6805π in. Squared
D) 8100π in. Squared

Answers

Answer:

the answer is D

Step-by-step explanation:

Topic : Multiple Representations of points

PLEASE HELP ME, am having a hard time with these questions

Answers

Answer:

Hmm, want piña colada and Jar Jar Binks cookies? just go to India.

Answer:

See below directions.

Step-by-step explanation:

The condition [tex]-2\pi<\theta<2\pi[/tex] means you can get to the point by rotating no more than one revolution in either the positive or negative direction.

See the attached image to see the point [tex]\left(3,\,-\frac{3\pi}{4}\right)[/tex].  Think about how you get to that point:  start at the origin, go right (along the positive x-axis) 3 units, then turn in the negative direction (to your right!) through an angle of [tex]\frac{3\pi}{4}[/tex].

Now, go again, starting at the origin, only this time, go 3 units right, then turn through an angle of [tex]-\frac{3\pi}{4}+2\pi=\frac{5\pi}{4}[/tex].  In other words, you turn one whole revolution in addition to the [tex]-\frac{3\pi}{4}[/tex] angle.  Your point can now be described by [tex]\left(3,\,\frac{5\pi}{4}\right)[/tex].

Another description can be found by rotating in the opposite direction, so an angle of [tex]\frac{3\pi}{4}[/tex] and backing up 3 units -- specify a "radius" of -3.  The point is then [tex]\left(-3,\,\frac{3\pi}{4}\right)[/tex].

You can also try subtracting one revolution [tex](2\pi)[/tex] from the angle, but be careful not to let the angle go outside the interval  [tex]-2\pi<\theta<2\pi[/tex].

The changes you can try are:  

add [tex]2\pi[/tex] to the angle, leave r alone

subtract [tex]2\pi[/tex] to the angle, leave r alone

add/subtract [tex]\pi[/tex] (half a revolution) to the angle, make r the opposite.

30 points! Numbers n, m, and k are natural numbers. Express as powers:
#1: 4^n*4^5
#2: 3^8*3^n
#3: 2^2n/2^n
#4: 2^3n/2^2n
Pictures of each question will also be attached.

Answers

The powers in this problem are expressed as follows:

1. 4^n x 4^5 = 4^(n + 5).

2. 3^8 x 3^n = 3^(8 + n).

3. 2^(2n)/2^n = 2^n

4. 2^(3n)/2^(2n) = 2^n

Exponents and multiplication

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents to find the product.

In the context of this problem, this is what we use for items 1 and 2, as follows:

1. 4^n x 4^5 = 4^(n + 5). -> Base 4, exponents n and 5, n + 5 = n + 5.

2. 3^8 x 3^n = 3^(8 + n). -> Base 3, exponents 8 and n, 8 + n = 8 + n.

Exponents and division

When two terms with the same base and different exponents are divided, we keep the base and subtract the exponents to find the quotient.

In the context of this problem, this is what we use for items 3 and 4, as follows:

3. 2^(2n)/2^n = 2^n -> Base 2, exponents 2n and n, 2n - n = n.

4. 2^(3n)/2^(2n) = 2^n -> Base 2, exponents 3n and 2n, 3n - 2n = n.

More can be learned about exponential rules at https://brainly.com/question/11761858

#SPJ1

pls help answer in under 2 mins plssss

Answers

Answer:

Step-by-step explanation:

Solve for one variable and substitute the value in to another equation.

Three consecutive integers have a sum of 87. Find the integers.

Answers

Answer:

28, 29, and 30

Step-by-step explanation:

There's probably better ways but you can estimate by knowing 30*3=90 so it should be somewhere pretty close to 30. Guess and check with basic calculations to get 28, 29, and 30.



Item 5 is unpinned. Click to pin.

Using the trend line equation, what is the predicted approximate value of y when x= 4.5?




5.12

3.98

3.47

2.75

Answers

Answer:

I think the answer is 3.47

Complete the following statement
with the correct number.
The sum of the three angles of
any triangle is [?]
Enter

Answers

Answer:

180°

Step-by-step explanation:

According to Angle sum property of a triangle , sum of all the three angles of a triangle equals to 180°

How much money does an Construction worker get in hour?

Answers

Answer:

$18

Step-by-step explanation:

Around $16.00 an hour.

3. Find the surface area of the square pyramid.

Answers

Answer:

answer: 105

Step-by-step explanation:

For triangle area you just have to do base × height ÷ 2 So we will do 8 × 5 = 40 then divide by 40 by 2 so 40 ÷ 2 = 20 now we have 1 triangles area we can find the rest because each of these triangles are equal so 20 × 4 = 80 now we just have to do the square so thats easily just base × height so 5 × 5 = 25 now we just add 80 and 25 so 80 + 25 = 105 so 105 is our surface area!

Mr. Meyer is planning a sixth-grade field trip to Washington DC. He divides his students evenly between 9 chaperones will lead a group of 8 students. If S represents the total number of students going on the field trip with equation models the problem?

A. 8s = 9
Or
B. s/9 =8

Answers

I think there is 72 students because there is 9 chaperones with groups of 8 so that is 9x8 which is 72

Hope this helps answer some questions that you may have had.

What is the product of x(x + 1)?​

Answers

Answer:

The product of x(x + 1) is x² + x

Step-by-step explanation:

x(x + 1)

x × x + x × 1

x² + x

Thus, The product of x(x + 1) is x² + x

-TheUnknownScientist

Expand and simplify -3(x - 2) + 8(2x + 1)

Answers

Answer:

13x + 14

Step-by-step explanation:

-3(x - 2) + 8(2x + 1)

= -3x + 6 + 16x + 8

= 13x + 14

Please help with this questions. I’ve waisted over 100 points trying to get answers for one assignment just because the only people answering are giving me links. I’m not gonna ask for no links because I learned from experience, it doesn’t work. Please just help me so I can finish. And if you put these links, your honestly a really mean person.

Answers

Y
-7
-4
-1
2
5

(X,Y)
(-2,-7)
(-1,-4)
(0,-1)
(1,2)
(2,5)

Help! Please anyone. I need help!

Answers

Answer:

Isn't it supposed to put where the number/symbol is.....

Step-by-step explanation:

write in standard rorma
y =2/3x-6

Answers

Answer:

-2/3x+y=6

Step-by-step explanation:

Standard form is just x+y=n, so all that we have to do it get that x over by subtraction.

Please Answer This Question!

Answers

Answer: x=25

Step-by-step explanation: equation comes out to

4x+80=180

4x=100

x=25

Answer:

x=25

Step-by-step explanation:

x+30+x+40+2x+10=180

Add the X up together and the other number which will be

4x+80=180

subtract 80 from both sides

4x=100

divide 4 from both sides

x=25

What is the velocity of a plane that traveled 4828 kilometers west from New York to California in 4 hours

Answers

The velocity of a plane that traveled 4828 km west from NY to Cali in 4 hours is 1,207

Let's compare two different raffles to see which ticket you should buy? A. Raffle 1: 800 raffle tickets are sold $2.00 each. There is one gran prize for $450 and two consolation prizes of $100 each that will be awarded. What is the expected value of one ticket? B. Raffle 2: 350 raffle tickets are sold for $2.00 each. There is one grand prize of $150 and three consolation prizes of $50 each. What is the expected value of one ticket?

Answers

Answer:

(a) The expected value is: $0.40625

(b) The expected value is: $0.4286

Step-by-step explanation:

Solving (a): Raffle 1

Given

[tex]Tickets=800[/tex]

[tex]Value = \$2[/tex] per ticket

[tex]Grand\ Prize = \$450[/tex] ---- for 1

[tex]Consolation = \$100[/tex] --- for 2

Required

The expected value of each ticket

First, calculate the total amount of the 800 tickets

[tex]Amount = Tickets * Value[/tex]

[tex]A_1 = 800 * \$2[/tex]

[tex]A_1 = \$1600[/tex]

Next, calculate the total amount of the prizes

[tex]Amount = Tickets * Value[/tex]

[tex]A_2 = \$450 * 1 +\$100 * 2[/tex]

[tex]A_2 = \$450 +\$200[/tex]

[tex]A_2 = \$650[/tex]

The expected value E(x) of 1 ticket is calculated as:

[tex]E(x) = \frac{A_2}{A_1}[/tex]

[tex]E(x) = \frac{\$650}{\$1600}[/tex]

[tex]E(x) = \$0.40625[/tex]

Solving (b): Raffle 2

Given

[tex]Tickets=350[/tex]

[tex]Value = \$2[/tex] per ticket

[tex]Grand\ Prize = \$150[/tex] ---- for 1

[tex]Consolation = \$50[/tex] --- for 3

Required

The expected value of each ticket

First, calculate the total amount of the 800 tickets

[tex]Amount = Tickets * Value[/tex]

[tex]A_1 = 350 * \$2[/tex]

[tex]A_1 = \$700[/tex]

Next, calculate the total amount of the prizes

[tex]Amount = Tickets * Value[/tex]

[tex]A_2 = \$150 * 1 +\$50 * 3[/tex]

[tex]A_2 = \$150 +\$150[/tex]

[tex]A_2 = \$300[/tex]

The expected value E(x) of 1 ticket is calculated as:

[tex]E(x) = \frac{A_2}{A_1}[/tex]

[tex]E(x) = \frac{\$300}{\$700}[/tex]

[tex]E(x) = \$0.4286[/tex]

What is the salesperson's commission on a $900
sale if the commission rate is 25%?

Answers

Answer:

Amount of commission earned = $225

Step-by-step explanation:

Commission rate = 25%

Sales amount = $900

Find the amount of commission earned by the salesperson

Amount of commission earned = Commission rate × Sales amount

= 25% × $900

= 25/100 × $900

= 0.25 × $900

= $225

Amount of commission earned = $225

3-2x-x^2=y Given x = 2

Answers

y = -5.

3-2(2) - 2^2 = y
3 - 4 - 2^2=y
3-4-4=y
-5=y
In simplified form, your answer would be 3+2 x 2-2^2 or in other words -3, steps:

3 - 2*2 - 2^2 = y

1 - 2 ^ 2 = y

1 - 4 = y

1 - 4 = -3/ negative three

Jessica has 24 marbles and Jenny has 33 how many more marbles does jessica have than Jenny

Answers

Jessica has 9 more marbles than Jenny.
33-24=9 marbles
Hope this helps :D

7 times as much as 1/3 and 4/5

Answers

Answer:

3.13333333333

Step-by-step explanation:

It is a recurring so u could write it as 3.13 with a dot on top of the last three hope it helps :D

Determine the value of x.
Question 9 options:

A)

2

B)

2

C)



D)

4

Answers

Answer:

2√2 = x

Step-by-step explanation:

x

---- = sin 45 degrees, or

4

 x        1

----- = -----

 4       √2

this results in x = 4 / √2  =  4√2/2  =  2√2 = x

The value of the variable 'x' will be 2√2 units. Then the correct option is C.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

The triangle is an isosceles right-angle triangle. Then by the Pythagoras theorem, we have

4² = x² + x²

2x² = 16

x² = 8

x = 2√2

The value of the variable 'x' will be 2√2 units. Then the correct option is C.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2

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