what is the distance between points (4,0) and (-2,-3)

Answers

Answer 1

Hi! I'm happy to help!

To solve this equation, we need to find how much distance is between the y coordinates, how much distance is between the x coordinates, and then use the Pythagorean Theorem.

Let's start with finding the distance between the x coordinates. The first x coordinate is 4, and the second is -2. This means that the distance in x is 6.

Next, we need to find how much distance is between the y coordinates. The first y point is at the y coordinate 0, and the second is at the y coordinate -3. This means that the distance in y is 3.

Now we use the Pythagorean Theorem, which says that a²+b²=c²

A and b refer legs of a right triangle, and c refers to the hypotenuse (longest side) of the right triangle. Imagine the two points on a line, the direct distance is the c, and the y and x movements alone are a and b.

Let's say x is a, and y is b. Let's insert our values:

6²+3²=c²

36+9=c²

45=c²

To find c, we need to find the square root of 45

√45

6.708203...

Rounds to about 6.7 in tenths.

So, the distance between those two points is about 6.7.

I hope this was helpful, keep learning! :D

Answer 2

Answer:

im doing online school and the correct answer is 6.7

Step-by-step explanation:


Related Questions

Expand [tex](x-\frac{1}{x})^{1\\2}[/tex] , simplifying the coefficients
the right answer is [tex]x^{5}-5x^{3}+10x-\frac{10}{x} +\frac{5}{x^{3} }-\frac{1}{x^{5} }[/tex]
but i can't work it out
PLEASE HELP!

Answers

Answer:

Step-by-step explanation:

In reality it is :  [tex](x-\frac{1}{x} )^5\\[/tex]

[tex]Pascal'sTriangle\\\\\begin{array}{cccccc}1\\1&1\\1&2&1\\1&3&3&1\\1&4&6&4&1\\1&5&10&10&5&1\\\end{array}\\\\\\(x-\frac{1}{x} )^5\\\\=x^5+5*x^4*\frac{1}{x} *(-1)+10*x^3*\frac{1}{x^3}*(-1)+5*x*\frac{1}{x^4} +\frac{1}{x^5} *(-1)\\\\\\\boxed{(x-\frac{1}{x} )^5=x^5-5x^3+10x-\frac{10}{x} +\frac{5}{x^3} -\frac{1}{x^5} }[/tex]

Does amyone know the answer ??​

Answers

The only visible points in the picture are (-2,0) and (2,0). These are points to be plotted on a grid. The first number is always the x axis (horizontal) . The second number is always the y axis (vertical).

What is the length of BC?

Select the best answer from the choices provided.
A.4
B.4v2
C.8v2
D.16

Answers

8 squared = x squared + x squared.
64= 2 x squared
Divide both sides by 2
32= x squared
Square root of 32= x
4 square root 2

rachel states that -5.5 is an integer because it is negative. is she correct? why or why not?

Answers

Answer:

no

Step-by-step explanation:

-5.5=-55/10=-11/2

-11/2 is not an integer because it is not a whole number. even if it is negative, as long as it is in fraction form it is not an integer. therefore rachel is not correct

Solve the equation. Check your answer.
b - 1+ 8 = 37
b=?

Answers

b - 1 + 8 - 8 = 37- 8
b - 1 + 1 = 29 + 1
b = 30

Answer:

b = 30

Step-by-step explanation:

b - 1 + 8 = 37       (Given)

b + 7 = 37            (Simplify)

b + 7 - 7 = 37 - 7  (Subtract 7 on both sides)

b = 30                  (Simplify)

A rectangle has a width of 3 units. The rectangle's length is 5 times its width.

What is the area of the rectangle?

Answers

Answer:

Answer= 45 units

Step-by-step explanation:

lengths = 3 units

width = 3x5= 15 units

area= length times width= 3x15= 45 units!

Hope this helps :)

Hakim and Aziz had some savings in the ratio 3 : 5. Hakim saved another $82 and Aziz spent $110. Both have the same amount of money now. How much do each of them have now?​

Answers

Answer:  $370

===========================================================

Explanation:

Hakim and Aziz have savings in the ratio 3:5. This means that Hakim has 3x dollars while Aziz has 5x dollars. The x is some positive real number.

We're then told that Hakim saved another $82, which means it goes from 3x to 3x+82

At the same time, Aziz spent $110 which means the 5x decreases to 5x-110

At this point, the two people have the same amount of money. Set the expressions we found equal to one another and solve for x.

3x+82 = 5x-110

3x-5x = -110-82

-2x = -192

x = -192/(-2)

x = 96

Then use this x value to compute each expression like so

3x+82 = 3*96+82 = 3705x-110 = 5*96-110 = 370

Both have $370 after Hakim saved that additional $82 and after Aziz spent that $110.

------------------

Extra info:

If we rewind things a bit, Hakim would have 3*x = 3*96 = 288 dollars while Aziz would have 5x = 5*96 = 480 dollars. This is before any additional saving or spending.

Then note how the ratio 288:480 fully reduces to 3:5 after dividing both parts by the GCF 96.

A mobile device that normally sells for $99.90 is
marked down 10%. What's the discount price?
$99.00
$89.99
$89.91
$89.90

Answers

Answer:

89.90 is the answerrrrrrrrrrr

Answer:

89.91

Step-by-step explanation:

You can do this with a calculator 99.90-10%

Help me please broskies

Answers

From step 1 to step 2 they distributed the 2 (multiplied the inner numbers of the parentheses)
From step 2 to step 3 they added 6x to both sides,canceling out the -6x on the left side and adding 6x with the 5x
From step 3 to step 4 they subtracted 2 from both sides, canceling it out on the right side and subtracting 2 from 8 to get 6
From step 4 to step 5 they try and get x alone by dividing both sides by 11, canceling out the 11 on the right side and leaving a fraction the left
Leaving you with your answer of what x equals in the final step
Hope this helps!!

150 miles in 6 gallons to the nearest hundredth

Answers

Answer:

do you have any photo reference to the actual question at this time?

what is the vertex and where is the x-intercept(s)?

Answers

Answer:

Vertex (-2,-9)

x-intercepts -5 and 1

y-intercept -5

Step-by-step explanation:

How do I solve this

Answers

Answer:

it's 67

Step-by-step explanation:

Step-by-step explanation:

the base is already same.

-9 + (-8) - (-7) = -10

= m^-10

A popular amusement park has had199,792,458 visitors since it opened. Which
number, written in scientific notation, is the
best approximation of the number of visitors?
a) 0.2 x 107 visitors
b) 0.2 x 108 visitors
c) 2.0 x 107 visitors
d) 2.0 x 108 visitors

Answers

Answer:

d) 2.0 * 10⁸

Step-by-step explanation:

199,792,458  ≈ 200,000,000 = 2.0* 10⁸

All of the following are rational numbers except____.​

Answers

Answer:

3.14159

Explanation:

pi is irrational

Hope this helps!! <3

giải phương trình :
-4x-8x>0

Answers

Answer:

[tex]x < 0[/tex]

Step-by-step explanation:

[tex] - 4x - 8x > 0[/tex]

➡️ [tex] - 12x > 0[/tex]

➡️ [tex]x < 0[/tex]

The midpoint of AB is M(3,-2). If the coordinates of A are (1, -3),
what are the coordinates of B?

Answers

Answer:

23 just took the test

Step-by-step explanation:

Answer:

B(5,-1)

Step-by-step explanation:

The formula for finding the midpoint of any line is: [ (x1+x2) / 2 ] ,  [ (y1+y2) / 2 ] .

So, x1=1 and x2=x. And y1=-3 and y2=y.

So,

(1+x)/2=3, then manipulating it gives x=5.

And,

(-3+y)/2=-2, then manipulating the equation gives y=-1.

Hence B(5,-1)

can someone help me with this question​

Answers

Answer:  The guage block height is 4.98 m

The base of the right triangle that is formed is 7.3784 m

The last angle in the triangle is 56 degrees

Step-by-step explanation:

Redraw the triangle formed in the picture and use H for the hypotenuse, O for the block height, and A for the base.  Now we can use trig (SOHCAHTOA) to find the answaers.

Using sine, we can first find the gauge block height, O (Opposite).  Given the Hypotenuse (H) is 8.9 m, we can use the definition of the sine of an angle to find the height, O.

Sine(34) = Opposite/Hypotenuse (O/H), or O = H*Sine(34)

O = (8.9)*(0.5592)

O = 4.98 m, the height of the gauge block,

The base of the triangle, A, can be determined with cosine.

Cosine(34) = A/O, or A = Cosine(34)*O

A = (0.82904)*(8.9)

A = 7.3784 m

The sum of all angles in a triangle is 180 degrees.  

180 = X + 34 + 90

X = 56 degrees

I NEED HELP ASAP!!! #32!!

Answers

Answer:

If it's parallel, then it has the same slope.

Find the slope from the two coordinates and compare the slope to see which ones are right.

You should get a slope of like 2/3 from the two points, so the only equation with the same slope is B.

Your answer is B.

Find the value of this expression if x - -7.
x2 - 1
x+4
Enter the correct answer

Answers

here are the answers in order
a. -15
b. -3

Please help with geometry

Answers

Answer:

x

Step-by-step explanation:

Answer:
-37
Explanation:


2x+1
4x +5
The perimeter of the triangle shown is 9x + 10. Which of the following is the measure of the third side

A) 3x+4
B) 15x+15
C) 15x+5
D) 3x+16

Answers

Step-by-step explanation:

Option a is the correct answer

(2x+1)+(4x+5)+(3x+4)

2x+1+4x+5+3x+4

9x+10

hey please help i’ll give brain

Answers

Answer:

First, the dropdown is 9. Second, put in 9. The answer is 81.

Step-by-step explanation:

10* what equals 90? Well, let's do 90/10, our answer is 9. Then We are given 1 nine or 9 to put on the second slot. Our answer would be 90-9, or 81. Khan Academy is teaching you how to multiply.

Answer:

[tex]9 \times 9 = 10nines - 1nine \\ 9 \times 9 = 90 - 9 \\ 9 \times 9 = 81 \\ than \: you[/tex]

Simplify: 2(a-4)+15=13

Answers

Answer:

a = 3

Step-by-step explanation:

2(a−4)+15=132

a−8+15=132

a=13−15+82

a=6

a=6/2

a=3

A motorcycle can travel 48 miles for every gallon of gas used
Use the unit rate to complete the table for the miles traveled by motorcycle

Answers

Answer:

A-96

B-144

C-192

:) have a nice rest of your day!

Step-by-step explanation:

answer explerts help pleaseee show steps also

Answers

Not a, answer is C
If not understood, please let me know

Geno started to evaluate 90 – (18+-2)(-3), as shown. What should he do next?

Answers

138 is the answer
1. 18+(-2)= 16
2. 16(-3)= -48
3. 90- (-48)= 138

Five times the sum of a number and 7 is 8

Answers

Answer:

5(n+7) = 8

Step-by-step explanation:

this is the equation you are look for if its the value of n it would be -27/5

Answer:

Step-by-step explanation:

5(x + 7) = 8

x + 7 = 8/5

x = 8/5 - 7 = -27/5 = -5.4

the expression x - 0.10 X gives the cost of an item that is discounted 10% write this expression in the other way​

Answers

Answer:

Step-by-step explanation:

Take out a common factor (x)

x ( 1 - 0.10 )                

Now do the subtraction

0.90x

Can someone help with this !!

Answers

Answer:

[tex]{ \sf{ {(2x - 3)}^{4} }} \\ = { \sf{ {(2x - 3)}^{2} . {(2x - 3)}^{2} }} \\ = { \sf{(4 {x}^{2} - 12x + 9)(4 {x}^{2} - 12x + 9) }} \\ = { \sf{ {16x}^{4} - 48 {x}^{3} + 36 {x}^{2} - 48 {x}^{3} + 144 {x}^{2} - 108x + 48 {x}^{2} - 108x + 81 }} \\ { \sf{ = {16x}^{4} - 96 {x}^{3} + 228 {x}^{2} - 216x + 81 }}[/tex]

I don’t get this how do these things work please explain

Answers

Answer:

Ok, so:

-The number of people who like tea are represented in the first column.

-The number of people who dislike tea are represented in the second column.

-The number of people who like coffee are represented in the first row.  

-The number of people who dislike coffee are represented in the second row.

This works like a multiplication chart:

People who like tea and coffee are represented in the top left square. People who dislike tea and coffee are represented in the box that coordinates to T' and C' (If you find T' and C' and run your fingers along the column/row until they run into each other, you'll find it.) The same is true for other combinations.

At the bottom of the first column is the total number of people who like tea. At the right-most part of the first row, is the total number of people who like coffee.

(52 people like tea, 80 people were surveyed)

I hope this helps you understand, please ask any clarifying questions you need! : )

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