What is the distance between the points (-4, 6) and (1, -6)?

Answers

Answer 1

Answer:

The distance between these 2 points is 13.

Step-by-step explanation:

Picture the 2 points on a graph as a right triangle, where the hypotenuse of that right triangle is the distance between the points. It is very easy to find the length of the legs of that triangle, and you can use those legs to calculate the length of the hypotenuse.

First, find the vertical distance, or the distance between the y-coordinates. Either just look at a graph and count, or subtract them.

[tex]-6-6=-12[/tex]

Distance is an absolute value from 0, so -12 is the same as 12.

Next, find the horizontal distance between the x-coordinates.

[tex]1--4=5[/tex]

Now, we have the length of the legs, 5 and 12. Use the pythagorean theorem to find the length of the hypotenuse:

[tex]a^2+b^2=c^2\\5^2+12^2=c^2\\25+144=c^2\\c^2=169\\c=\sqrt{169}\\c=13[/tex]

The distance between these 2 points is 13.

What Is The Distance Between The Points (-4, 6) And (1, -6)?

Related Questions

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

At Tasty Dogs, 2 of the last 12 customers wanted mustard on their hot dogs. Considering this data, how many of the next 6 customers would you expect to want mustard?

Answers

Answer:

1

Step-by-step explanation:

PLEASE HELP QUESTION IN PICTURE

Answers

Answer:

16 units

Step-by-step explanation:

pls help i really dont understand this

Answers

Answer:

Slope: -1

y intercept: -3

equation: y=-1x-3

Step-by-step explanation:

The y intercept is when x is zero.

Can someone plz help Me?

Answers

Answer:

i am pretty sure its C

Step-by-step explanation:

The answer would be because you do 90/6 which gives 15.
Am pretty sure the answer should be c

9c+4=-23 solve for x

Answers

9x + 4 = -23
9x = -23 - 4
9x = -27
x = -27/9
x = -3

ANSWER: x = -3
Ok done. Thank to me :>

The area of the triangle below is 5/12 square feet. What is the length of the base. Express you answer as a fraction.

Answers

Answer:

5/3 ft

Step-by-step explanation:

you multiply 5/12 by 2 which is 5/6 then you divide that by 1/2 which gives you 5/3. 5/3 times 1/2 is 5/6. 5/6 divided by 2 is 5/12.

hope the made sense.

∠HOA appears to be a right angle.
true or false

Answers

Answer:

False!

Step-by-step explanation:

Right angles are 90 degrees, for example EOA appears to be closer to a right angle but not HOA

Paula has $3,281 in a savings account that earns 8% interest, compounded annually.

To the nearest cent, how much interest will she earn in 1 year?

(compound interest Formula)

Answers

Answer:

$262.48

Step-by-step explanation:

Given:

Saving amount P = $3281Interest rate r = 8% or 0.08Compound number n = 1Time t = 1 year

Find the total amount in 1 year:

[tex]I = P(1 + r/n)^{nt}-P[/tex][tex]I = 3281*(1 + 0.08/1)^{1*1} -3281 = 3281*1.08 - 3281= 3281*0.08=262.48[/tex]

Please help with this math problem!! IT'S DUE TONIGHT AT 11:59PM!! NO LINKS PLEASE!! :)

Answers

Answer:

[tex]c = \: \: 0 \: \: \: 1 \: \: 2 \: \: 3 \: \: 5 \: \: 7[/tex]

Step-by-step explanation:

check this pls

but im not sure;-)

pa heart and 5 star

if check po

Answer:

[tex]C= -2p+5, \text{where slope is} ~-2.[/tex]

Step by step explanation:

Hey can u help me plsss I really need help don’t just press for points.

Answers

how do we hel you , ca we get a description

HEYYYY I NEED HELPPPP AS SOON AS POSSIBLE

Answers

60.
half of the 40 is 20 so 3/2 of the area is 60

For what value of x is line a parallel to line b?

Answers

Answer:

x = 22

Step-by-step explanation:

4x + 28 = 116 (corresponding angles are equal when two lines are parallel)

4x = 88

x = 22

Corresponding angles must be equal

[tex]\\ \tt\hookrightarrow 4x+28=116[/tex]

[tex]\\ \tt\hookrightarrow 4x=116-28[/tex]

[tex]\\ \tt\hookrightarrow 4x=88[/tex]

[tex]\\ \tt\hookrightarrow x=22[/tex]

This table show the total distance d, in kilometers, a truck traveled after t hours. Which equation shows the relationship between d and t? d = 100t d = t + 300 d = 300t d = t + 100

Answers

Answer:

d=100t or d=300t depending on how much the truck travels for an hour because no image was provided i dont know

Step-by-step explanation:

Someone help me with this please

Answers

Answer: x = 43, ABC = 180 degrees, DBC = 48 Degrees

Step-by-step explanation:

(3(x+1))+(x+5)=180 degrees

4x+8=180

4x=172

x=43

using these we plug in.

ABC = is 3(44) + (48) = 180

DBC = 43+5 = 48

Comparing Theater Sales
I need help A.S.A.P!!!

Answers

Step-by-step explanation:

oh come on ! you can see that with common sense : it is 2)

while the data itself is the same, but in figure B it is kind of suggested that "Super Cinema" had twice the sales of "Bud's Movies". which is not the case at all.

and that is one of the problems, when you don't show the whole data range (which happens when you don't start the data range at the actual beginning - like 0 in this case).

as I keep saying : never trust a statistic you have not falsified yourself ...

True or false 6 to the 3 power = 216

Answers

Answer:

True

Step-by-step explanation:

6^3, or 6x6x6, is equal to 216.

---

hope it helps

Answer:

true

Step-by-step explanation:

3480 divided by 29 what is the answer that its asked

Answers

120 is the correct answer to your equation have an nice day

Answer:

120

Step-by-step explanation:

To be honest I just looked it up.

Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The table shows the function relating the number of pounds of apples, x, and the number of pounds of oranges, y, Lilly could purchase.

Apples (lb) Peaches (lb)
x y
0 10
1 8.75
2 7.5
4 5
6 2.5
8 0

Answers

Answer:

Different ways to answer this question

Step-by-step explanation:

You can do a ratio  of 1:4 apples and 1:5 oranges

Determine if the two triangles are congruent. State how you know

-GEOMETRY

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The two triangles are congruent by ~

B.) HL congruency criteria

Because each triangle have a right angle (90°), a pair of equal sides and their hypotenuse are equal as well, because they have a common hypotenuse ~

I hope it helps ~

[tex]꧁  \:  \large \frak{Eternal \:  Being } \: ꧂[/tex]

2x-5y=9 y-3x=-7 solve by substitution

Answers

x

=

2

and

y

=

1

Explanation:

y

=

3

x

7

   and    

2

x

5

y

=

9

Substitute for

y

2

x

5

(

3

x

7

)

=

9

Simplify

2

x

15

x

+

35

=

9

Keep going and get

13

x

=

26

So

x

=

2

Now find

y

y

=

3

x

7

 

3

(

2

)

7

y

=

1

The value of y varies directly with x.
When y=3, x=1.
What is the value of y when x is 4?
12
3/4
4 1/3
8

Answers

Answer:

12

Step-by-step explanation:

x = 1 y = 3, x = 2 y = 6, x = 3 y = 9, x = 4 y = 12

Answer:

12

Step-by-step explanation:

if x=1 , y =3

if x=4 then y=3×4=12

y=12

A furniture maker used 5/6 of a can of paint to paint some chairs. He used 1/6 of a of paint for each chair. How many chairs did he paint? Write your answer as a fraction or as a whole or mixed number. ​

Answers

Answer:

5 chairs

Step-by-step explanation:

then you'd get 5 so the answer is 5.

Just divide 5/6 / 1/6,

Answer:

5

Step-by-step explanation:

This is a question of division, the total quantity of paint used will be the amount of paint needed per chair × the number of chairs;

This is an equation, which can be rearranged to give:

Number of chairs painted = total paint used/paint needed per chair

Total paint used = ⅚

Paint needed per chair = ⅙

Therefore:

Number of chairs painted = (⅚)/(⅙)

Number of chairs painted = ⅚ × 6

Number of chairs painted = 5

A website is selling couches for $864. The site got the couches at a cost of $320. What percentage is the mark-up?

Answers

That is a 170% markup

The grass in Jamie's yard grew 16 centimeters in 10 days. It was growing at a constant rate.How many days did it take the grass to grow 1 centimeter?How many centimeters did the grass grow in 1 day

Answers

Answer:

Step-by-step explanation:

16 cm / 10 days = 1.6 cm/day

10 days / 16 cm = 0.625 days/cm

£3 is €4.
Convert £30 to euros.

Answers

40 euros if u convert it

True or false: In(x+y)- In(x+y)=0. Explain your thinking.

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf ln(x + y) - ln(x + y) [/tex]

[tex] \sf ln( \frac{x + y}{x + y} ) [/tex]

[tex] \sf ln(1) [/tex]

[tex] \sf0[/tex]

[ Since, ln (1) = 0 ]

Therefore, the statement is true ~

Answer:

In(x+y) - In(x+y)

= In([tex] \frac{x + y}{x + y} [/tex])

= In(1)

=0

Hence, the statement is true!!

Matthew wants to buy a new pair of jeans. If the jeans were originally $65.00, but are on sale with a 10% discount, how much will Matthew have to pay for the jeans?​

Answers

10% off means the jeans will sell for 90% of the original price ( 100% - 10% = 90%)

Multiply the original price by 90%

65.00 x 0.90 = 58.50

He will pay $58.50

Solve for all values of y in simplest form.
|4 - 5y| = 16

Answers

Answer:

[tex]y=-\frac{12}{5}[/tex]

   

I think this is the correct answer

Two ships leave a harbor together traveling
on courses that have an angle of 128°
between them. If they each travel 543 miles,
how far apart are they (to the nearest mile)?
A) 976 mi
B) 476 mi
C) 42 mi
D) 1952 mi

Answers

Answer:

use cosine law

x^2 = 543^2 + 543^2 - 2(543)(543cos 128°

solve for x

Step-by-step explanation:

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