Question
Use the distance formula to find the distance between the points (1, -7) and (9,6).
(Write your answer in exact form.)
Provide your answer below:
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QuestionUse The Distance Formula To Find The Distance Between The Points (1, -7) And (9,6).(Write Your

Answers

Answer 1

Answer:

[tex] \sqrt{233} [/tex]

Step-by-step explanation:

Given:

(1, -7) and (9, 6)

Required:

Distance between the two points

Solution:

Distance formula is given as [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] (1, -7) = (x_1, y_1) [/tex]

[tex] (9, 6) = (x_2, y_2) [/tex]

Plug in the values

Distance between both points = [tex] d = \sqrt{(9 - 1)^2 + (6 -(-7))^2} [/tex]

[tex] d = \sqrt{(8)^2 + (13)^2} [/tex]

[tex] d = \sqrt{64 + 169} [/tex]

[tex] d = \sqrt{233} [/tex]


Related Questions

On a trip across the country Joe used 20 gallons of gas to go 300 miles. At this rate, how much gas must he use to go 3600 miles?

HELP

Answers

Answer:

240 gallons

Step-by-step explanation:

Let's set up an ratio where g = gallons and m = miles:

20g = 300m

We need the right side of that to be 3600, so multiply both sides by 12:

12(20g) = 12(300m)

Answer: 240 gallons for 3600 miles

find the absolute maximum absolute minimum of the function F(x)=(x^2-12x+32)^(1/3) on the interval [3,10]

Answers

9514 1404 393

Answer:

minimum: -∛4 ≈ -1.58740maximum: ∛12 ≈ 2.28943

Step-by-step explanation:

The expression under the radical can be written in vertex form as ...

  x^2 -12x +32 = (x -6)^2 -4

The function will be symmetrical about x=6. The minimum is at x=6 where we have ...

  F(6) = ∛(-4)

The maximum is at the end of the interval farthest from the vertex, so is ...

  F(10) = ∛((10 -6)² -4) = ∛12

The minimum is -∛4 ≈ -1.587; the maximum is ∛12 ≈ 2.289.

Simply the expression below

Answers

Answer:

[tex]\frac{7x + 3}{(x + 5) (x - 3) }[/tex]

Step-by-step explanation:

Answer:

7x + 3 / (x+5)(x-3)

The company proposes a new cereal box with NEW dimensions,

10.5 inches high
7.5 inches long
4 inches deep

What is the VOLUME of the new box?

Answers

Answer:

The volume of the new box is 315 in²

Step-by-step explanation:

When finding volume, you need to multiply length, width, and height.

10.5 x 7.5 x 4 = 315 in²

Hope this helps! Pls mark brainliest

PLEASE HELP ME OUT IXL !! PLEASE GEOMETRY

Answers

Answer:

131

Step-by-step explanation:

Sorry but I am not conform to this answer

PLEASE HELP ASAP WILL GIGE YOU BRAINLIEST
What additional piece of information is needed to show that ADEF 2. APQR by ASA?
R
D
O A. FZR
B. ZDZP
0
C.
DFPR
D
EF QR

Answers

Yes so in order to solve you must first use the divisible to answer.

Without calculating, which pyramid has the greater surface area? Explain ​

Answers

Answer:

Pyramid on the left

Step-by-step explanation:

It has bigger measurements and looks much bigger and wider than the one on the right.

120% of x is equal to 78 what is x

Answers

9514 1404 393

Answer:

  65

Step-by-step explanation:

The problem statement tells you ...

  1.20x = 78

Dividing by the coefficient of x gives its value:

  x = 78/1.20

  x = 65

What is the volume of a figure with that is 2 inches wide, 7 inches tall and 9 inches
Pls help

Answers

Answer:

126

Step-by-step explanation:

What is the volume of a figure with that is 2 inches wide, 7 inches tall and 9 inchesn = Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.    

2x7x9 = 126

Answer:

126 inches³

Step-by-step explanation:

The volume of a figure is l×w×h.

So,

9 × 2 × 7 = 126

Evaluate the expression when g = 6 and h=34.
h-5g​

Answers

Answer:

hi

Step-by-step explanation:

if g is 6 and h is 34 then h-5g is equal to

34-5×6=34-30=4

have a nice day

Answer:

h-5g=34-5(6)

=34-30

= 4

Find the are of the composite shape.

mm?

Answers

Answer:

18 feet²

Step-by-step explanation:

A composite figure is made up of simple geometric shapes. To find the area of a composite figure or another irregular-shaped figure, divide it into simple, nonoverlapping figures. Find the area of each simpler figure, and then add the areas together to find the total area of the composite figure.

Finding the Area of Composite Shapes

In order to find the composite area of two or more shapes, simply find the area of each shape and add them together. Therefore, the answer is 96 feet²

I have three car traveled 70 miles from a starting point the car was still at least 500 miles from the end of the trip which is equality represents the total distance do you of a trip from the starting point to the end?

Answers

Answer:

x≥500+70

Step-by-step explanation:

What is the expression and value of "six less than the quotient of a number and two, increased by ten" when n= 8? O 122 - 6+ 10; when n= 8, the value is 8. 12 O B- 6- 5+10; when n = 8, the value is 12. 02-6+10; when n = 8, the value is 11. O 6-9 +10, when n = 8, the value is 9​

Answers

Answer:

the answer is 8

Step-by-step explanation:

the expression is written as (n/2 - 6)+ 10

therefore when n=8..

(8/2 - 6) + 10

we now have, (4-6)+10

(-2)+10=8...

I need help with these, the answer options are as follows: always true, sometimes true, never true

Thank you!!

Answers

Sometimes true for number one! Not sure about the others, hope this helped

75% of what number is 12

Answers

Answer:

16

Step-by-step explanation:

12/0.75 = 16

75% of 16 is 12 is the answer.

What is the perimeter of the figure?"

Answers

9514 1404 393

Answer:

 46 yd

Step-by-step explanation:

The sum of horizontal lengths across the top is 8+6 = 14 yd. The length across the bottom is the same, so the total of horizontal lengths is

  14 yd +14 yd = 28 yd

The sum of vertical lengths at the right is the same as the sum of vertical lengths at the left, 9 yd, so the total of vertical lengths is ...

  9 yd + 9 yd = 18 yd

The total of all lengths around the perimeter of the figure is ...

  28 yd + 18 yd = 46 yd

What is the value of the expression 3 over 4 to the power of 3​

Answers

Answer:

[tex]( \frac{3}{4} ) ^{3} \\ \frac{3 {}^{3} }{4 {}^{3} } \\ \frac{3 \times 3 \times 3}{4 \times 4 \times 4 } \\ \frac{27}{64} [/tex]

Option 2 is the correct answer.

Answer:

2nd Option

[tex] \frac{27}{64} [/tex]

Step-by-step explanation:

Here,

[tex] { (\frac{3}{4} )}^{3} [/tex]

[tex] = \frac{3 \times 3 \times 3}{4 \times 4 \times 4} [/tex]

[tex] = \frac{27}{64} [/tex]

Hence,

2nd option is the correct answer.

Julio bought a backpack for $40. The sales tax on his purchase was 6%. How much did Julio did the backpack cost Julio, including tax?

Answers

Answer:

The backpack costs $42.40.

Step-by-step explanation:

Answer: $42.40 is the backpack cost

Step-by-step explanation:

there are two pans of lasagna at a school dinner. parents were careful to cut each pan of lasagna into equal portions. Tanya had 2 portions in one pan, while Daniel took 4 portions from the other pan. They both took the same amount of lasagna. he is this possible?
1. show how the lasagna was divided into portions so Tanya's 2 portion are equal to Daniel

2a. what fraction did Tanya eat?
1b. what fraction did Daniel eat.
2.how do you know these fractions are equivalent?

Answers

Answer:

1. Tanya ate 2/3 of the lasagna and Daniel ate 4/6 of the lasagna.

2a. 2/3

1b. 4/6

2. 2/3 is the same thing as 4/6, 2/3 x 2/2=4/6, 4/6÷2/2=2/3



Step-by-step explanation:

Evaluate the function requested. Write your answer as a fraction in lowest terms.
B
82
18
A
80
Find cos B.

Answers

Answer:

[tex]\cos B=\dfrac{9}{41}[/tex]

Step-by-step explanation:

Given that,

Hypotenuse = 82 units

Base = 80 units

Height = 18 units

We need to find the value of cos B.

We know that,

[tex]\cos\theta=\dfrac{Base}{Hypotenuse}[/tex]

For angle B, Hypotenuse = 82 units, Height = 80 units and base = 18 units

[tex]\cos B=\dfrac{18}{82}\\\\\cos B=\dfrac{9}{41}[/tex]

Hence, the correct option is (A).

Answer: A!!

Step-by-step explanation:

Ayuda por favor
APLICACION DE LA FUNCION LINEAL y=mx+b
El número de calorías que se queman en 1 hr de ejercicio en una
máquina caminadora es función de la velocidad que se emplea. Una
persona que se ejercita a una velocidad de 2.5 millas por hora
quemara 210 calorías. A 6 millas por hora esta persona quemará 370
calorías.

a) Determina la función que se ajusta a los datos del problema.

b) ¿Cuál es la pendiente del problema?

C) ¿Cuantas calorías se queman a una velocidad de 5 millas por hora?

d) ¿Que velocidad se necesita para quemar 550 calorías?

Answers

Answer:

manda una foto pls es que no me deja ver lo que has puesto

Step-by-step explanation:

Find the real root of the equation x3 + x2 - 1 = 0 by
using iteration method.​

Answers

Answer:

i cant help that much but u can try using photomath

This graph shows a linear relationship
between the water level in a tank and time
elapsed.
Enter the initial water level, in feet, of the
water tank.

Answers

The initial water level in feet is 40 feet

A florist is filling 6 vases with some water. The line plot shows the amount of water the florist adds to the vases. which is the amount of water the florist needs to fill 6 vases the vases.

Answers

Answer:2 3/4

Step-by-step explanation:

You add 3/4+2/4+6/4 and get 11/4 and you make 2 3=4 hope this helps

Help I need this done fats!

Answers

Answer:

well I am going to say A

Step-by-step explanation:

it

just

seems

like

it

makes

more

sense

in

my

head

Answer: I think its C but im not completely sure, i hope this helps!

Step-by-step explanation:

Which equation best represents the
statement below?
y is seven greater than the product of x
and negative five.
PLEASE I NEED THIS IN LESS THAT 2 MINUTES!!

Answers

Answer:

[tex]y=-5x+7[/tex]

Please mark brainliest!

Been stuck for the longest

Answers

Answer:

Since 2√7 = 5.29, move the circle over to the third dash after the five.

Step-by-step explanation:

Since 2√7 = 5.29, move the circle over to the third dash after the five.

Find Angle C!!
Thankyou
I really need help

Answers

Answer:

180-146=34       146+34=180

Step-by-step explanation:

The angle measures of a triangle are shown in the
diagram
60
What is the value of x?

Is B 30 right?

Answers

b is the correct answer u got it

Answer:

C. 30

Step-by-step explanation:

2x = 60

x = 30

Also because the right angle of a triangle which is the angle where (2x) is at is equal to 90 degrees always, so since one of the angles is 60 the other will be 30 because the three angles of a triangle add up to 180 degrees:

90 + 60 = 150

180 - 150 = 30

URGENT! I will brainlist the correct first answer

Answers

Answer:

-25p

Step-by-step explanation:

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