Use the distance formula to find the distance between the points given.

Use The Distance Formula To Find The Distance Between The Points Given.

Answers

Answer 1

Explanation:

The coordinates are given below as

\(\begin{gathered} (x_1,y_1)=(12,-7) \\ (x_2,y_2)=(3,-16) \end{gathered}\)

Concept:

To calculate the distance between the points above, we will use the formula below

\(D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

By substituting the values, we will have

\(\begin{gathered} \begin{equation*} D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \end{equation*} \\ D=\sqrt{(3-12)^2+(-16-(-7)^2} \\ D=\sqrt{(-9)^2+(-9)^2} \\ D=\sqrt{81+81} \\ D=\sqrt{162} \\ D=\sqrt{81\times2} \\ D=\sqrt{81}\times\sqrt{2} \\ D=9\sqrt{2} \end{gathered}\)

Hence,

The final answer is

\(\Rightarrow9\sqrt{2}\)


Related Questions

After a 40% discount, The price of a T-shirt was $30. What was the price before the discount?

Answers

Answer:

$18

Step-by-step explanation:

Help with evaluate and graph PLEASE HURRY

Help with evaluate and graph PLEASE HURRY

Answers

Answer:

Box 1 = -1

Box 2 = 8

Box 3 = 14

Is 2 2/3 odd or even?

Answers

2 is a even and 3 is a odd so I would say even

Answer: the answer is even.

What is the end behavior of the radical function represented by this graph? The graph shows the square root function. The function starts at the point (minus 3, 0) and extends upwards and to the right. Some major points on the graph are (0, 3), (2, 4), and (5, 5). A. As x decreases in value, decreases in value. As x increases in value, decreases in value. B. As x decreases in value, increases in value. As x increases in value, decreases in value. C. As x decreases in value, increases in value. As x increases in value, increases in value. D. As x decreases in value, decreases in value. As x increases in value, increases in value.

Answers

The value of Tan B rounded to the nearest hundredth is 0.01.

What is value?

Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.


Tan B is a trigonometric ratio that is determined by the ratio of the side opposite an angle to the side adjacent to the angle. To find the value of Tan B, you need to know the angle measure (B) and the lengths of the two sides. For example, if the angle B is 45 degrees and the adjacent side is 8 cm and the opposite side is 8 cm, then Tan B = 8/8 = 1.

To round the value of Tan B to the nearest hundredth, we will use the rounding rule of "5 up". This means that any value that is greater than or equal to five will be rounded up, and any value that is less than five will be rounded down. In this case, Tan B is equal to 1 and is less than five, so it should be rounded down to 0.01. Therefore, the value of Tan B rounded to the nearest hundredth is 0.01.

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Which table shows y=-x+4

Which table shows y=-x+4

Answers

.....the correct answer is C

hey any help? (please make sure this is correct i'd appreciate it)

hey any help? (please make sure this is correct i'd appreciate it)

Answers

Answer:

Below

Step-by-step explanation:

Line AB is of the form y = mx + b    where m is the slope = 2

 Line BC is perpendicular to this and will have slope - 1/m = - 1/2   and includes the point C (0,6)

 The point slope form of line BC will then be

     ( y-6) = - 1/2 ( x - 0)    which can be re-arranged to

       y = - 1/2x + 6     < ==== equation for line BC

       

Which of the following terms correctly describe the object below?
Check all that apply.
D A. Prism
B. Solid
C. Cube
D. Pyramid
E. Polyhedron
F. Polygon

Which of the following terms correctly describe the object below?Check all that apply.D A. PrismB. SolidC.

Answers

Answer:

A..is the answer of the question

Answer:

Polyhedron, Prism and Solid

Which answer choice substituted correctly for the system below?
x=3y-17
2x+3y=-7
2x+3y=3y-17
2x+3y-17=-7
2(3y-17)+3y=-7
2x+3(3y-17)=-7

Which answer choice substituted correctly for the system below?x=3y-172x+3y=-72x+3y=3y-17 2x+3y-17=-72(3y-17)+3y=-72x+3(3y-17)=-7

Answers

Answer: The third option

Step-by-step explanation:

Choose the top equation (x = 3y - 17) and substitute it into x in the bottom equation (2x + 3y = -7) since we already know what x equals (3y - 17).

= 2(3y - 17) + 3y = -7

Compute the missing x and y values so that each ordered pair will satisfy the given equation y=2x+4

Answers

The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.

Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.

For example, let's say one missing value is x = 3. We can substitute this into the equation:

y = 2(3) + 4

y = 6 + 4

y = 10

So, the missing ordered pair is (3, 10).

Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:

8 = 2x + 4

4 = 2x

x = 2

So, the missing ordered pair is (2, 8).

In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

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What ratio is equivalent to 8/6

What ratio is equivalent to 8/6

Answers

Answer:

3rd option: 32/24

Step-by-step explanation:

8/6 = 4/3

1st option: Now let's change the denominator to 24:

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

2nd option: Now let's change the numerator to 24:

4/3 ==> 24/?

4/3 =

4*6 / 3*6 = 24/18, not 24/32

24/32 = 3/4, not 4/3 ==> don't get confused by this

3rd option: 32/24 is correct [Look at the explanation for 1st option]

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

Hence, the 3rd option is correct.

Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. Maurice says that he can make a tray that has a base measuring 1012 inches by 1012 inches. Is he correct? Use the drop-down menus to explain your answer.

Stephan
Choose...
have enough wood to make the tray because he has
Choose...
square inches, which is
Choose...
than he needs to make the tray,
Choose...
square inches.

Answers

Answer:

i. No, Maurice statement is wrong

ii. Stephan does not have sufficient pieces of wood to make the tray because the square inches required is more than what he has.

Step-by-step explanation:

Stephan's piece of wood measures; 18 inches in length and 12 inches in width. Since the piece of wood has a shape of a rectangle,the area of the piece of wood = length × width                                                 = 18 × 12                                                = 216 square inchesAccording to Maurice's statement, he could make a tray that has a base of 1012 inches by 1012 inches. The base has the shape of a square, so that;     the area of the base = length × width =                                        = 1012 ×1012                                      = 1024144 squared inchesThis shows that Stephan does not have sufficient wood to make the tray because the square inches required is more than what he has.

The graph below shows the distance a car drove over a course of 18 hours. At what time did the driver end her trip?

at 20 hours


at 2 hours


at 18 hours


at 4 hours

The graph below shows the distance a car drove over a course of 18 hours. At what time did the driver

Answers

At 18 hours, the graph lines show the speed and the last line shows the car returning to original position

HELP 10 MIN LEFT!!!!

HELP 10 MIN LEFT!!!!

Answers

Answer:

To one decimal place,

y = 16.3 m

Step-by-step explanation:

Using SOHCAHTOA,

In this case we need to use CAH,

WE know the angle = 25 and the hypotenuse H = 18,

so,

y = adjacent

\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)

Answer: 16.3 in.

Step-by-step explanation:

use SOH CAH TOA

cos x = adj/hyp

cos 25  = y/18

18 cos 25  = y

y= 16.3

What is the slope of the line that passes through the points M(-3,5) and N (1,8)

What is the slope of the line that passes through the points M(-3,5) and N (1,8)

Answers

Answer:

the answer is A. 3/4

Step-by-step explanation:

Try using Symbolab for future reference it works really well (it's what I use ALL the time)!

Mr. Sanchez challenges his students to construct as many unique triangles as they can that have sides of 3 inches, 4 inches, and 8 inches. Which statement correctly describes how many triangles the students can construct with these side lengths?

A
They cannot construct any triangles with the given side lengths.
B
They can construct 1 unique triangle with the given side lengths.
C
They can construct 3 unique triangles with the given side lengths.
D
They can construct infinitely many unique triangles with the given side lengths.

Answers

Answer:

Step-by-step explanation:

The students cannot construct any triangles with the given side lengths because the sum of the two shorter sides of a triangle must always be greater than the longest side (i.e., the triangle inequality). However, in this case, 3 + 4 = 7, which is less than 8. Therefore, it is not possible to construct a triangle with sides of length 3, 4, and 8 inches.

So, the correct option is A - "They cannot construct any triangles with the given side lengths."

Someone please help!!!! I’ll give most brainliest

Someone please help!!!! Ill give most brainliest

Answers

Answer:

252 inches squared

Step-by-step explanation:

(6 x 9) + (6 x 15) + (9 x 12) = 252

Find the perimeter of this shape

Find the perimeter of this shape

Answers

The perimeter of the given shape as represented in the task content is; 29 cm.

What is the perimeter of the given shape?

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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Can someone help me? I don’t know how to solve it. Thank you!

Can someone help me? I dont know how to solve it. Thank you!

Answers

Answer:

C. 5x^2 - 8x + 13

Step-by-step explanation:

Can someone help me? I dont know how to solve it. Thank you!

match the angle to its corresponding visual representation

Answers

1) Alternate interior angles

2) Corresponding angles

3) Alternate exterior angles

4) Same-side interior angles

5) Vertical angles (angles opposite of each other)

Below is the graph of f(x) = 3 log10 m. How would you describe the graph of
g(x)= 9 log10 x?
3+
2
1
-3
-2
-1
2
3
4
5
-
-2-
-3
O A. g(x) shifts f(x) to the right 3 units.
B. g(x) shifts f(x) up 3 units.
C. g(x) compresses f(x) by a factor of 3.
D. g(x) stretches f(x) vertically by a factor of 3

Below is the graph of f(x) = 3 log10 m. How would you describe the graph ofg(x)= 9 log10 x?3+21-3-2-12345--2--3O

Answers

Answer: C

Step-by-step explanation:

Select two ratios that are equivalent to 7: 10.


Just trying to get my late work done ✅ thxs

Answers

Answer:

21:30

35:50

Step-by-step explanation:

21 divide by 3 =7  30 divide by 3=10

35 divide by 5=7    50 divide by 5=10

An item costs $350 before tax, and the sales tax is 14% .
Find the sales tax rate in percentage.

Answers

Answer: So, the sales tax on the item is $49.

Step-by-step explanation:

The sales tax rate is already given as 14%. It is stated that the item costs $350 before tax, and the sales tax rate is 14%. Therefore, the sales tax amount can be calculated by multiplying the cost of the item by the tax rate:

Sales tax amount = $350 * 14% = $350 * 0.14 = $49

So, the sales tax on the item is $49.

Based on the figure below, what is the value of x?
(5x + 15)
01
09
0 11
15
20°

Answers

Answer:

undefined

Step-by-step explanation:

because

the figure does not appear

In polar coordinates, the positive x-axis is called the __
axis.

Answers

Answer:

Polar axis.

Step-by-step explanation:

When looking at characteristics of a Polar Graph, the positive x-axis is called the Polar axis.

Answer:

polar axis.

Step-by-step explanation:

This table represents the relationship between the time in hours that Harriett bikes and the miles she travels.
What is the relationship between the time in hours that Harriett bikes and the miles she travels?


Enter your answer in the box to correctly complete the statement.


For every hour Harriett bikes, the distance she travels increases by

miles.

20 POINTS ASAP PLEASE!!!

I am in k12 and I am currently doing 3.14 Unit Test for math

Answers

Answer:

i think For every hour Harriett bikes, the distance she travels increases by 12 miles

Line g has a slope of
Line ris parallel to line q. What is the slope of line r?
Simplify your answer and write it as a proper fraction, improper fraction, or integer? Please I need help!!

Answers

Answer:

45

Step-by-step explanation:

45

Find the lateral area the regular pyramid.
8
6
L. A. =

Answers

Answer:\(18\sqrt{91\)

Step-by-step explanation:

The graph of f(x) was vertically translated down by a value of k to get the function g(x) = 5x + k. What is the value of k?

Answers

The value of k in g(x) = 5^x + k is -7

How to determine the value of k?

The complete question is added as attachment

The functions are given as:

f(x) = 5^x

g(x) = 5^x + k

From the attached graph, we can see that:

f(x) is shifted down by 7 units to form g(x)

This means that:

g(x)= f(x) - 7

This gives

g(x) = 5^x - 7

Substitute g(x) = 5^x - 7 in g(x) = 5^x + k

5^x + k = 5^x - 7

This gives

k = -7

Hence, the value of k in -7

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The graph of f(x) was vertically translated down by a value of k to get the function g(x) = 5x + k. What

Given the circle below with secants JKL and NML, find the length of JK. Round to the nearest tenth if necessary.

Given the circle below with secants JKL and NML, find the length of JK. Round to the nearest tenth if

Answers

Using the Intersecting secants theorem, the length of JK in the given diagram is 17

Intersecting secants theorem: Calculating the length of of JK

From the question, we are to determine the length of JK in the given diagram.

The diagram shows a circle with intersecting secants.

From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".

Then,

We can write that

JK × KL = NM × ML

From the given diagram,

KL = 14

NM = 14

ML = 17

Substituting the values

JK × 14 = 14 × 17

JK = (14 × 17) / 14

JK = 17

Hence, the length of JK is 17

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A stew recipe uses 3 teaspoons of salt for every 4 cups of water.
Complete the table to show the relationship between the amounts of salt and water in the stew recipe. Enter a number in each box.


Can someone please help me quickly!! And also let me know if I got the first 2 correct

A stew recipe uses 3 teaspoons of salt for every 4 cups of water.Complete the table to show the relationship

Answers

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

What is the amount of salt?

A stew recipe uses 3 teaspoons of salt for every 4 cups of water.

There is a ratio issue here.

As X is to three, 3 is to 4.

3 : 4 :: X : 3

To eliminate the fractions, multiply each integer in the ratio by 12.

9 : 12 :: 9X : 12

This is a portion of what is

9 / 12 = 9X / 12

to obtain, cross-multiply.

9 / 12 = 3 teaspoons of salt,

Check: 3 cup of flour yields 3 cups, which is a 4x increase.

The amount of salt in 9/12 tablespoons is four times that of 3 tablespoons.

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

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