Find the distance between each pair of points. Round to the nearest tenth if necessary.
(-3, 6) (2,1)

Answers

Answer 1

Answer:

The distance between the two points is about 7.1 units.

Step-by-step explanation:

We want to find the distance between the two points (-3, 6) and (2, 1).

To find the distance between any two points, we can use the distance formula:

[tex]\displaystyle d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (-3, 6) be (x₁, y₁) and (2, 1) be (x₂, y₂). Substitute:

[tex]\displaystyle d=\sqrt{((2)-(-3))^2+((1)-(6))^2}[/tex]

Simplify:

[tex]\displaystyle d=\sqrt{(5)^2+(-5)^2}[/tex]

Evaluate:

[tex]d=\sqrt{25+25}=\sqrt{25(2)}=5\sqrt{2}\approx 7.1\text{ units}[/tex]

The distance between the two points is about 7.1 units.


Related Questions

Type your response in the box. Imagine that this graph represents the distance Brianna travels to get to her babysitting job with respect to time. Describe a relation that the graph may represent.

Answers

Answer:

Brianna left home and drove 3 miles in 6 minutes. She then stopped for 4 minutes to pick up coffee. Finally, she traveled the last 4 miles in 6 minutes to arrive at her babysitting job.

Step-by-step explanation:

This answer is from Plato.

What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?

Answers

Answer:

The complete question can be found online.

The missing information is:

Carson drove a total distance of 120km, he initially has 30L of fuel on his tank, and his car efficiency is 100 cm^3/km

Remember that 1000cm^3 = 1 L

then:

100cm^3 = 0.1L

This means that he uses 0.1 L per kilometer.

The equation that shows how many liters of fuel he will have is:

initial fuel - consumed fuel.

We know that the initial fuel is 30 liters.

And the consumed fuel will be the amount of fuel he used to drive the 120 km

Remember that for each km, he consumes 0.1 L of fuel.

Then for the 120km he used 120 times 0.1 L of fuel, so he used a total of:

120*0.1 = 12 L of fuel

Then the remaining fuel in the tank is:

30 L - 12 L = 18L

There are 18 L of fuel in the tank.

Answer:

Should be 30-100/1000*120

Step-by-step explanation:

If you vertically compress the absolute value parent function, (x) = |X|, by a
factor of 4, what is the equation of the new function?
O A. g(x) = |4x|
O B. g(x) = 1/4 |x|
O C. g(x) = 4|x|
O D. g(x) = |x-4|

Answers

pls mark me as brainlist

thanks a lot


Which step shows the result of applying the subtraction property of equality?
(12x+8)+4-3

Answers

Answer:

Value of expression = -3 / 4

Step-by-step explanation:

Given:

(12x + 8) + 4 = 3

Find:

Value of expression

Computation:

Given expression

(12x + 8) + 4 = 3

Step 1: Use Distributive property

12x + 8 + 4 = 3.

Step 2: By adding like terms.

12x + 12 = 3

Step 3: Transfer

12x = 3 - 12

Step 4: Subtract

12x = -9

Step 4: Divide both sides by 12

12x / 12 = -9 / 12

x = -3 / 4

Value of expression = -3 / 4

What is the reflection of (-50, -30) across the y-axis?

Answers

Answer:

(50,-30)

Step-by-step explanation:

Reflecting a point across the y axis is just like flipping a page on a book. The x  coordinate is flipped and the y coordinate stays the same.

The answer is (50,-30)


Which compound inequality is equivalent to | ax -b | > C for all real numbers a, b, and c, where c>0?

Answers

Hello,

Answer D

ax-b < -c or ax-b >c

If ax-b >0 then |ax-b| = ax-b ==> ax-b > c

if ax-b <0 then |ax-b|=-(ax-b) > c ==> ax-b <-c

The equivalent compoud inequality is (d) ax - b > c or ax - b < -c

How to determine the  compound inequality?

The absolute value expression is given as:

| ax -b | > c

Given that c > 0, then it means that:

| ax -b | > 0

So, we have the following inequalities from | ax -b | > c

ax - b > cax - b < -c

Hence, the equivalent compoud inequality is (d) ax - b > c or ax - b < -c

Read more about compoud inequality at:

https://brainly.com/question/24544713

Subtract
[tex] - 3[/tex]
[tex] - {2y}^{3} [/tex]

[tex] - y[/tex]
[tex] - {5y}^{2} [/tex]
from
[tex] - {2y}^{3} [/tex]
[tex] + 4[/tex]

Answers

Answer:

Step-by-step explanation:

-2y³ +  4 - (-3 - 2y³ - y - 5y²) = -2y³ + 4 + 3 + 2y³ + y + 5y²

                                             = -2y³ + 2y³  +5y² + y   + 4 + 3 {combine like terms}

                                             =  5y² +y + 7

Roger has 50 ounces of water. If he drinks 30% of it, how
much water will he have left?

Answers

Roger will have 15 ounces of water left

Answer:

35 ounces

Step-by-step explanation:

If Roger drinks 30% of the water, that means there will be 70% of it left. We can turn percentages into decimals by dividing them by 100. If we multiply 50 by 0.7, we get 35 ounces.

Get three real world examples of a rectangle prism

Answers

Answer:

a shipping container ,the ones they use in large cargo ships

which of the following give the highest future value is 6000000 is invested at 6% for 3 years​

Answers

Answer:

$5084745.76271

Step-by-step explanation:

Given data

Final amount= $6000000

Rate=6%

Time= 3 years

Now let us find the initial amount which is the principal

using the simple interest formula we have

6000000 = P(1+0.06*3)

6000000 =P(1+0.18)

6000000 =P*1.18

P= 6000000 /1.18

P=$5084745.76271

Hence the initial deposite is $5084745.76271

Helppppp
A. 8/15
B. 8/17
C. 15/8
D. 15/17

Answers

Answer:

D

Step-by-step explanation:

sin theta is equal to perpendicular by hypotenuse

here perpendicular is equal to 15 and base is equal to 8 therefore hypotenuse will be equal to 17

on putting on putting the value of perpendicular by hypotenuse we get 15 by 17 as sin theta

Answer:

Step-by-step explanation:

hypotenuse = √(15²+8²) = √289 = 17

sinθ = (leg opposite θ)/hypotenuse = 15/17

A circle is centered at the point (5,-4) and passes through the point (-3, 2). what is the equation of this circle?

Answers

Answer:

(x-5)² + (y+4)² = 100

Step-by-step explanation:

The formula for calculating the equation of a circle is expressed as;

(x-a)² + (y-b)² = r² where:

(a,b) is the centre of the circle

r is the radius

Get the radius using the distance formula;

r = √(2-(-4))²+(-3-5)²

r = √6²+(-8)²

r = √36+64

r =√100

r² = 100

Since a = 5 and b = -4, on substituting into the formula;

(x-5)² + (y+4)² = 100

This gives the required equation

Answer:

(x-5)² + (y+4)² = 100

Step-by-step explanation:

Just got it correct on Edmentum test.

The measure of two supplementary angles are (6x+28)° and (7x+87)°. Find the value of x.

Answers

Answer:

[tex]x = - 59[/tex]

Step-by-step explanation:

[tex](6x + 28) = (7x + 87)[/tex]

[tex]6x + 28 = 7x + 87[/tex]

[tex]6x - 7x = 87 - 28[/tex]

[tex]1x = - 59[/tex]

[tex]x = \frac{ - 59}{1} [/tex]

[tex]x = - 59[/tex]

Hope it is helpful....

Pencils cost $0.30 each and pads of paper cost $1.25 each. You have $3.30 to spend and you need 6 pencils. How many pads of paper can you purchase?

Answers

Answer:

6 x 0,30 = $1,80

$3,30 - $1,80 = $1,50

$1,50 - $1,25 = $0,25 (not enough money)

you can buy 1 pad of paper

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

A triangle ABC is right angled at A, AL is perpendicular to BC. Prove that angle BAL= angle BCA.

Answers

Step-by-step explanation:

triangle BCA=BAL bcoz Angle BCA= Angle BAL

What is another name for CD?

Answers

Answer:

I think album is another name of CD.

Please help me with this one!!

Answers

Answer:

[tex]21 in^{2}[/tex]

Step-by-step explanation:

The square in the middle has a length and width of 3, so multiply. 9.

All of the triangles have a base of 3 and a height of 2. The area equation for triangles is

[tex]A=bh\frac{1}{2}[/tex]

So base*height is 6. Divide that by 2 or multiply by 1/2.

You get 3. There are 4 triangles, so multiply that by 4. 12.

Add 12 and 9 together, and you get:

[tex]21 in^{2}[/tex]

I hope this helps!

use abc to find the value of sin b

Answers

Answer:

12/37

Step-by-step explanation:

We know ,

=> sin B = p/h

=> sin B = 12/ 37

Answer:

Step-by-step explanation:

[tex]Sin \ B = \frac{opposite \ side }{hypotenuse}\\\\Sin \ B = \frac{35}{37}\\\\[/tex]

Please help ASAP!!! Tysm :)

Answers

Answer:

Hope that will help you

Step-by-step explanation:

BD = 14.5

Simplify this expression:
-(x+2)+4

i have no idea im not good with math ;(

Answers

ANSWER :

- ( x+ 2 ) + 4

-x - 2 + 4

-x + 2

Answer:

−x+2

Step-by-step explanation:

-(x+2)+4 Distribute the negative sign (-) outside of the parenthesis with x and 2 and that will turn into -x-2+4.

Add -2 and 4 and that will turn into -x+2.

Find the measure of the indicated angle

Answers

Answer:

x = 70°

Step-by-step explanation:

Given is the isosceles triangle as two sides marked equal.

The missing angles measure the same.

Since the sum of interior angles of a triangle is 180°, we have:

40° + 2x = 180°2x = 140°x = 70°

It is an isosceles triangle,

The marked 2 sides of triangle are equal.

Now we have to,

find the measure of indicated angle.

General formula,

→ Sum of all sides of triangle = 180°

Then the value of x is,

→ 2x + 40° = 180°

→ 2x = 140°

→ x = 140/2

→ x = 70°

Therefore, 70° is the value of x.

Question 18 (5 points)
Determine the sum of the measures of the interior angles of a dodecagon (12-sided
polygon).
540°
1,800°
360°
2,160°

Answers

Answer:

its 540 bro

Step-by-step explanation:

Evaluate
-2 x 3/12 x 5/10 x 7/15​

Answers

[tex]\displaystyle\Large \boldsymbol -2 \cdot \frac{3}{12} \cdot \frac{5}{10} \cdot \frac{7}{15} =-2 \cdot \frac{3 \!\!\!\!\diagup \cdot1}{3 \!\!\!\!\diagup\cdot 4} \cdot \frac{5 \!\!\!\!\diagup\cdot 1}{5 \!\!\!\!\diagup\cdot 2} \cdot \frac{7}{15} =\\\\\\-\frac{2 \!\!\!\!\diagup\cdot 7 }{2 \!\!\!\!\diagup\cdot 4 \cdot 15} =\boxed{-\frac{7}{60}}[/tex]

Which of the following is an even function?

Answers

Answer:

thats right

Step-by-step explanation:

odd functions are ones you flip 180 degrees and get same thing but basically everything else (unless of course it has no symmetry such as sqrt x) should be even (even can also be thought of as bilateral symmetry)

(Answer with steps please)

Skateboarders use half pipes for doing tricks A half-pipe is similar to a half cylinder which is not enclosed on the ends.

a. Explain how you could manipulate the surface area formula for a cylinder to calculate the curved surface area of the half pipe.

b. To the nearest square metre, calculate the curved surface area of the half pipe if it is 9 m long?

Answers

Answer:

Step-by-step explanation:

a). Total surface area of cylinder is defined by sum of curved surface area and surface area of the top and bottom.

Total surface area = 2πrh + 2πr²

Skateboarders use a half pipe structure which are not closed at the ends.

Therefore, curved surface of the half pipe = [tex]\frac{2\pi rh}{2}[/tex]

                                                                      = πrh

b). If r = 2.5 m and h = 9 m,

Curved surface area of the half pipe = π(2.5)(9)

                                                             = 70.69 m²

                                                              ≈ 71 m²

Graph each equation by using the y-intercept and slope
y=-x-4
Y-int=______
Slope=_____
whats the y-intercept and slope for this equation?

Answers

Answers:

y intercept = -4

slope = -1

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

Explanation:

The given equation is the same as y = -1x + (-4)

Compare this to y = mx+b form, and we see that

m = -1 is the slope

b = -4 is the y intercept

To graph y = -x-4, you could plot the two points (0,-4) and (1,-5) and draw a straight line through them. Extend the line as far as you can in either direction.

Notice how going from (0,-4) to (1,-5) follows the process "down 1, right 1" which is directly pulled from the slope = -1 =  -1/1.

Create 5 examples of gains and losses using positive and negative numbers. Explain your examples.

Answers

Answer:

Look below...

Step-by-step explanation:

Losing 7 cards in a deck: -7. Losing means negative.

Saving $102 in your wallet: 102. You are saving, that means you gain.

336 feet below sea level: -336. Below indicates less than 0,  which is negative.

Depositing $43 into your bank account: 43. Depositing means putting. If you put $43 in YOUR bank account, the bank account gains money. So you gain money. Making it positive.

1,000 feet above sea level: 1,000. Above indicates more than zero. Anything more than zero on a number line is positive.

Hope this helps :)

Can someone help me with this math homework please!

Answers

SrretrdeEtddexesesesezwzwzez

OPTION A is the correct answer.

Consider the function f(x) = -2x2 +3x-8. Determine f(k+4). Fully simplify your answer.

Answers

Answer:

f(k + 4) = -2k² - 13k - 28

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/CoefficientsExpand by FOILFunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = -2x² + 3x - 8

Step 2: Evaluate

Substitute in x [Function f(x)]:                                                                           f(k + 4) = -2(k + 4)² + 3(k + 4) - 8Expand [FOIL]:                                                                                                  f(k + 4) = -2(k² + 8k + 16) + 3(k + 4) - 8[Distributive Property] Distribute:                                                                    f(k + 4) = -2k² - 16k - 32 + 3k + 12 - 8Combine like terms:                                                                                         f(k + 4) = -2k² - 13k - 28

Can someone help solve this one ? I can’t solve it and it would be very helpful if you can explain thanks you.

Answers

Hello,

Let's say y= log(x) in base 10.

[tex]\\y=log(x)\\\\log^2(x)-3log(x)-4=0\\\\y^2-3y-4=0\\\\\Delta=9+16=5^2\\\\y=4\ or\ y=-1\\\\log(x)=4 \Longrightarrow x=10^4\\\\or\\\\log(x)=-1 \Longrightarrow x=10^{-1}=0.1\\[/tex]

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