find the distance between (5,2) and (−1,9)

Answers

Answer 1

Answer:

[tex]d=9.21954[/tex]

Step-by-step explanation:

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

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(-1-5)^2+(9-2)^2}[/tex]

[tex]d=\sqrt{(-6)^2+(7)^2}[/tex]

[tex]d=\sqrt{36+49}[/tex]

[tex]d=\sqrt{85}[/tex]

[tex]d=9.21954[/tex]


Related Questions

The table below shows the illuminated percentage of the moon on a lunar cycle of 28 days. The relationship can be described using a cosine function.

A 2-column table with 5 rows. Column 1 is labeled d with entries 0, 7, 14, 21, 28. Column 2 is labeled percent with entries 0, 48, 96, 48, 0.

Use the drop-down menus to complete each statement.

The amplitude of the function is
.

The period of the function is
.

The graph has a vertical shift of
units.

Answers

Answer:

Use the drop-down menus to complete each statement.

The amplitude of the function is  

✔ 48

.

The period of the function is  

✔ 28

.

The graph has a vertical shift of  

✔ 48

units.

Step-by-step explanation:

i got the question wrong for you homies, these were the correct ones on edge2020

Find the extreme values of f on the region described by the inequality.
f(x, y) = e−xy; x2 + 4y2 ≤ 1

Answers

Answer:f(x, y) = e

−xy. For the interior of the region, we find the critical points:

fx = −ye−xy

, fy = −xe−xy, so the only critical point is (0, 0), and f(0, 0) = 1.

For the boundary, we use Lagrange multipliers.

g(x, y) = x

2 + 4y

2 = 1 ⇒ λ∇g = h2λx, 8λyi, so setting ∇f = λ∇g we get

−ye−xy = 2λx and −xe−xy = 8λy. The first of these gives e

−xy = −2λx/y,

and then the second gives −x(−2λx/y) = 8λy ⇒ x

2 = 4y

2

. Solving this

last equation with the constraint x

2 + 4y

2 = 1 gives x = ± √

1

2

and y = ±

1

2

2

.

Now f

± √

1

2

, ∓

1

2

2

= e

1/4 ≈ 1.284 and f

± √

1

2

, ±

1

2

2

= e

−1/4 ≈ 0.779.

The former are the maxima on the region and the latter are the minima.

Step-by-step explanation:

The table below shows four problems using decimals.
Problem
Problem
Number
1
2
3
How many grams are in 2.3 kilograms? Recall that there are 1000
grams in a kilogram.
How many 85-cent nutrition bars can Mary buy for $20.00?
How many quarts does Mike have to buy for a recipe that calls for
13.7 cups? Recall that there are 4 cups in a quart.
How many days will a trip take if it takes 152.45 hours? Recall that
there are 24 hours in a day.
4.
Which problem would be solved using multiplication, and what is the solution to the problem?
Problem 1 requires multiplication. There are 2300 grams in 2.3 kilograms.
Problem 2 requires multiplication. Mary can buy 23 nutrition bars.
Problem 3 requires multiplication. Mike has to buy 54.8 quarts for the recipe.
Problem 4 requires multiplication. The trip will take 3658.8 days.
Nark this and retum

Answers

Answer

The answer is A

Answer:

It is A. my friend

Step-by-step explanation:

-7 w2 + 2w. (If w = -4)​

Answers

photo math vtvyvunif tcybubuhi

or numbers 8a–8c, choose Yes or No to indicate whether the statement is correct.
15 points
Yes No
8a. 1,289 ÷ 22 is 58 r13.
8b. 189 ÷ 17 is 11 r2.
8c. 1,427 ÷ 13 is 190 r1.
8a. 1,289 ÷ 22 is 58 r13.
8b. 189 ÷ 17 is 11 r2.
8c. 1,427 ÷ 13 is 190 r1.

Answers

Answer:

1,289 divided by 22 is 58 r13

Step-by-step explanation:

2.Brian is heading out for a steady early morning jog as one of his training runs for a marathon. He plans to jog
18 miles. He covered the first 4 miles in 39 minutes. Keeping the same steady pace, which of the following
is closest to the time that it will take Brian to finish his jog from the 4-mile point?
(1) 2.3 hours
(3) 2.9 hours
(2) 2.5 hours
(4) 3.3 hours

Answers

It would be 2.9 hours because you would add 4 of the 39 minute intervals together and for the last interval if Brian ran extra 2 miles which would be 20 miles. You would have to divide the 39 minute interval by 2 since he ran an extra 2 miles to get 19.5 minutes for him to get his last 2 miles for his 18 mile jog. Then add the 4 intervals of 39 minutes along with the 19.5 minutes to get you a total of 175.5 minutes and if you were to convert that to hours and minutes it would be 2 hours and 55 1/2 minutes so technically it would be 2.9 hours. To find the 2.9 you would divided 175.5 by 60 since there is 60 minutes an hour to get the answer 2.925 unrounded, but rounded it would get you the final answer 2.9 hours.

Final answer: 2.9 hours.

Suppose that y varies directly with x, and y=3 when x=15

Find y when x=10

Answers

Answer:

yaa , when X=15, y = 3;

here the value of X is five times the value of y

so when X= 10

then. y =X/5 = 10/5= 2

so the value of y will be 2

hope you like the answer

IS THE FRACTION 37/8 A RATIONAL NUMBER AND WHY

Answers

Option A)

Yes, Fraction 37/8 is a rational number because the decimal form of the number is terminal.

.

A Rational Number is any number that can be expressed as a fraction or ratio of two integers.

For example, 3/4, 8.75, 2, and -6 are all considered rational numbers.

Note that integers, or "whole numbers", are rational numbers. This is because they can be expressed as fractions.

For example, 2 can be rewritten as 2/1, or 200/100. -6 can be rewritten as -6/1, 6/-1, or -12/2.

Many non-integer, or decimal numbers, are also rational numbers.

For instance, 8.75 can be rewritten as 8 3/4, 875/100, or 1750/200. This also includes repeating decimal numbers like 0.3333333..., which can be rewritten as 1/3.

Fraction = 37 /8

Numerator = 37

Denominator = 8

Both are integer

The fraction of 37 divided by 8  = 37/8 is a Rational Number because both the numerator and denominator are integers.

Learn more about Rational Numbers: brainly.com/question/24398433

#SPJ1

express 7.84684846 as a rational number in the form p/q were p and q have no common factors

Answers

It's not clear what the pattern is supposed to be for the digits in the givne number. It looks like the repeating block should be 846, but it could just as easily be 84684.

Assume the first case, and let x = 7.846846846... . Then

1000x = 7846.846846846...

Subtract x from this to cancel the repeating decimal part, then solve for x :

999x = 7846 - 7 = 7839

x = 7839/999 = 871/111

If instead you meant the second case, let x = 7.846848468484684... . Then

10⁵ x = 784,684.846848468484684...

Solve for x :

99,999 x = 784,684 - 7 = 784,677

x = 784,677/99,999 = 261,559/33,333

Maybe you meant something else altogether?

Please help with this two part question (Calculus)^^

Answers

Answer:

1) -0.016 pounds per square inch per cubic inch.

2) [tex]\displaystyle V'(P)=-\frac{800}{P^2}[/tex]

Step-by-step explanation:

We are given the equation [tex]PV=800[/tex].

Part A)

We want to determine the average rate of change of P as V increases from 200 cubic inches to 250 cubic inches.

To find the average rate of change between two points, we find the slope between them.

Rewrite the given equation as a function of V:

[tex]\displaystyle P(V)=\frac{800}{V}[/tex]

Hence, the average rate of change for V = 200 and V = 250 is:

[tex]\displaystyle \begin{aligned} m &= \frac{P(250) - P(200)}{250 - 200} \\ \\ & = \frac{3.2 - 4}{250 - 200} \\ \\ & = -0.016\end{aligned}[/tex]

Therefore, the average rate of change is -0.016 pounds per square inch per cubic inch.

Part B)

We want to express V as a function of P. This can be done through simple division:

[tex]\displaystyle V(P)=\frac{800}{P}[/tex]

We want to show that the instantaneous change of V with respect to P is inversely proportional to the square of P. So, let's take the derivative of both sides with respect to P:  

[tex]\displaystyle \frac{d}{dP}\left[V(P)\right]=\frac{d}{dP}\left[\frac{800}{P}\right][/tex]

Differentiate. Note that 1/P is equivalent to P⁻¹. This allows for a simple Power Rule:

[tex]\displaystyle \begin{aligned} V'(P) & = 800\frac{d}{dP}\left[ P^{-1}\right] \\ \\ & = -800(P^{-2}) \\ \\ & = -\frac{800}{P^2}\end{aligned}[/tex]

Therefore, the instantaneous change of V is indeed inversely proportional to the square of P.

V = 5x + 2y
X = 3
y = -4
a) Work out the value of V.

Answers

V= 5(3)+2(-4)
V= 15-8
V=7

2. ABC is a right-angled triangle in which <A = 90° and AB=AC. Find
<B and <C.
(2 marks)​

Answers

Answer:

<A=<C=45°

Step-by-step explanation:

you can see in the picture above

If [tex]\sf x^{(x^4)} = 4,[/tex] then find the value of [tex]\sf x^{(x^2)} + x^{(x^8)}.[/tex]​

Answers

By inspection, we can see that x = ±√2, since (±√2)⁴ = 2² = 4.

In particular, if [tex]x^n=n[/tex], which means [tex]x=n^{\frac1n}[/tex], then [tex]x^{x^n}=x^n=n[/tex].

Let x = √2. Then

[tex]x^{x^2}+x^{x^8}=(\sqrt2)^{(\sqrt2)^2}+(\sqrt2)^{(\sqrt2)^8}[/tex]

[tex]x^{x^2}+x^{x^8}=(\sqrt2)^2+(\sqrt2)^{16}[/tex]

[tex]x^{x^2}+x^{x^8}=2+256[/tex]

[tex]x^{x^2}+x^{x^8}=\boxed{258}[/tex]

Please help will give brainliest

Answers

Answer:

x=17

Step-by-step explanation:

These are corresponding angles, meaning they have the same measure. We must set them equal to each other.

Hope this helps :-)

what is the third power of 3

Answers

When a number is to the 'third power,' that means that you are going to be multiplying the number by itself three times. For example, 5 to the third

Answer:

27

Step-by-step explanation:

Which of the following equals 5.96?

A. 2.98 + 2.89
B. 0.6 + 5.9
C. 6.03 + 0.07
D. 1.061 + 4.899

Answers

Answer:

D. 1.061 + 4.899

Step-by-step explanation:

1061 + 4899     149              149

———————————  =  ———

   1000         25                     25

149          

——— = 5.96000

 25            

If this helps please mark brainliest. Have a great day!

1/3 of a number T is less than or equal to five

Answers

Answer: x ≤ 15

Step-by-step explanation: All we need to do is divide both sides by 1/3, so1/3x / 1/3 and 5/ 1/3 = 15. So x  ≤ 15.

Hope this helps!

Simplify the expression: 3(1 - 2x) + 7

10 - 6x

7-6x

10-X

6x + 7

Answers

10-6x because you are disturbing 3 and then adding

a kilogram of dalandan in pure gold costs P55. if jessica bought k kilograms, represent the amount paid A as a function

Answers

Answer:

[tex]A(k) = 55k[/tex]

Step-by-step explanation:

Given

[tex]1kg = P55[/tex]

Required

Determine the cost of k kilogram

[tex]1kg = P55[/tex]

Multiply both sides by k

[tex]k * 1kg = P55 * k[/tex]

[tex]k\ kg = 55 k[/tex]

Representing this as a function:

[tex]A(k) = 55k[/tex]

what is the ratio of white cirlces to blue cirlces?​

Answers

can you say how many white and blue circles are there?

Im guessing the ratio for a cirlce could be 1/2 or more

uplod the pic so i can solve the problem

The point slope form of a line that has a slope of 1/4 and passes through the point (3,0 ) is shown .

Y-0= 1/4 (x-3)
What is the equation in slope intercept form?

Answers

y = 1/4x - 3/4
hope this helps :)

Answer:

Y=1/4x-3/4

Step-by-step explanation:

I got this answer right on my questions

Given the following formula, solve for a
I WILL GIVE BRAINLIST!!

Answers

Answer:

a=2s-b-c

Step-by-step explanation:

2s=a+b+c

a=2s-b-c

Answer:

2s-c-b =a

Step-by-step explanation:

s = ( a+b+c)/2

Multiply each side by 2

2s = ( a+b+c)/2 *2

2s = a+b+c

Subtract c from each side

2s -c = a+b+c-c

2s -c = a+b

Subtract b from each side

2s-c-b = a+b-b

2s-c-b =a

A parking lot is 100 yards long. What is the length of 3/4 of the parking lot, in feet? (Not in words)

Answers

1 yard = 3 feet.

100 yards x 3 = 300 feet.

300 feet x 3/4 = 225 feet.

The answer is 225 feet.

Answer:

225 ft hope it helps

2. Timmy and Anita decide to organize a dodgeball tournament at lunch recess and they ask
that any student from grade 6-8 who is interested to come to a meeting. At recess 24 grade
6 students arrive along with 48 grade 7 students and 36 grade 8 students. Timmy and Anita
decide to create EQUAL teams but to keep the grades separate. What is the greatest number
of students on each team making sure that all of the teams are equal? How many teams are
then formed in each grade?

Answers

Answer :pink i think

Step-by-step explanation:

simplify picture down Below ​

Answers

Answer:

[tex]x^{2}[/tex]  

I hope this helps!

URGENT!!!!! WILL MARK BRAINLIEST!!!!
Options:
AAS
SAS
AAA
ASA

Answers

think it’s AAA idk tho

Is this answer right?

Answers

Answer:

Step-by-step explanation:

yes!

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. There were twice as many large boxes shipped as small boxes shipped and the total weight of all boxes was 1435. Determine the number of small boxes shipped and the number of large boxes shipped.

Answers

Answer:

There were 7 small boxes and 14 large boxes shipped.

Step-by-step explanation:

This problem may be solved by a system of equations:

I am going to say that:

x is the number of small boxes used

y is the number of large boxes used

There were twice as many large boxes shipped as small boxes shipped

This means that y = 2x

Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. The total weight of all boxes was 1435 pounds.

This means that 45x + 80y =1435

So we have to solve the following system:

y=2x

45x + 80y =1435

45x + 80 (2x) = 1435

205x = 1435

x= 1435/205

x=7

y=2x= 2(7) = 14

There were 7 small boxes and 14 large boxes shipped.

blake ran laps around the gym

Answers

What’s the question tho

Someone please help!! Solve for X, Y, and Z!

Answers

Answer:

Y= 43, x=137, z=137 total is 360

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