Calculate the distance between the points (7, 4) and (-5, -3).​

Answers

Answer 1

Answer:

D = √193 units

or

D = 13.892 units

Step-by-step explanation:

Given:

(7, 4) and (-5, -3)

Calculate the distance

Solution:

[tex] \rm \: Distance (D) = \sqrt{( x_{2} - x_{1}) {}^{2} + (y_{2} - y_{1) {}^{2} }} [/tex]

Now, substitute the values given:

[tex] \rm \: D = \sqrt{ \{( - 5) - 7 \}^{2} + \{( - 3) - 4 {}^{} \} {}^{2} } [/tex]

[tex] \rm \: D = \sqrt{ \{12 \}^{2} + \{( - 3) - 4 {}^{} \} {}^{2} } [/tex]

[tex] \rm \: D = \sqrt{ 144 + \{( - 3) - 4 {}^{} \} {}^{2} } [/tex]

[tex]\rm D = \sqrt{144 + \{ 7\}{}^{2} } [/tex]

[tex] \rm \: D = \sqrt{144 + 49} [/tex]

[tex] \boxed{\rm \: D = \sqrt{193}} [/tex]

[tex] \boxed{\rm \: D =13 .892}[/tex]

Thus, Distance between the two given points will be √193 or √13.892 units.

Answer 2

Answer:

[tex]\bf \sqrt{193}[/tex] units or 13.9 units is the distance.

Explanation:

[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2}[/tex]

Given points: (7, 4) and (-5, -3)

Identify following:

[tex]\sf x_2= 7[/tex], [tex]\sf x_1 = -5[/tex], [tex]\sf y_2 =4[/tex], [tex]\sf y_1 =-3[/tex]

Find distance:

[tex]\rightarrow \sf \sqrt{(7 - (-5))^2 + (4 - (-3))^2} \quad = \quad \sqrt{144+49} \quad = \quad \sqrt{193} \quad \approx \ 13.9[/tex]


Related Questions

Ms. Duran kept track of her personal
finances yesterday using dollar amounts
written on the index cards shown below.

Answers

The amount of dollars that Ms. Duran would have at the end of the day if she started the day with $0 is 665 dollars.

What is the balance at the end of the day?

The value of the account will increase when she receives her pay check and wine the lotto earnings. The value of the account would decrease when she pay for gasoline, groceries and phone bill.

Balance = 895 - 95 - 129 - 84 + 78 = 665 dollars

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The perimeter of rectangle is 48ft the length is 16 from. Whats is the area?

Answers

Answer:

128

Step-by-step explanation:

There are 2 lengths, 16 x 2 = 32. 48 - 32 = 16. 16 divded by 2 equals 8. 8 x 16 = 128.

Giveing out 100 points to whoever gets it right! Need help soon!

Answers

Answer:

225.5 sq. mm

Step-by-step explanation:

triangle:5x(9+4+4+4)=15x21÷2=157.5

5x(4+4)=5x8=40

7x4=28

157.5+40+28=157.5+68=225.5

The half-life of carbon-14 is 5,730 years. Dating organic material by looking for C-14 can't be accurately done after 50,000 years.
Suppose a fossilized tree branch originally contained 4.30 grams of C-14. How much 14 would be left after 50,000 years?
Use the formula N= No
A tree branch that originally had 4.3 grams of carbon-14 will have
grams after 50,000 years.

Answers

Answer:

0.0102 g

Step-by-step explanation: A common formula for determining the amount of sample remaining in terms of its half-life is

where

t = 50 000 yr

      Calculate n

n = 50 000/5730

n = 8.726

N₀ = 4.30 g                       Calculate N

N = 4.30 × 2.36 × 10⁻³

N₀ = 0.0102 g please mark me brainliest

Answer:

  0.0102 g

Step-by-step explanation:

You want to know the amount of C-14 remaining in a tree branch after 50,000 years if it originally had 4.30 grams, and C-14 has a half-life of 5730 years.

Amount remaining

The number of grams (N) remaining is given by the formula ...

  N = N₀(1/2)^(t/5370)

where t is the number of years and N₀ is the initial amount of C-14.

Application

The amount of C-14 remaining in the tree branch will be ...

  N = 4.30×(1/2)^(50000/5730) ≈ 0.010154 . . . . grams

Rounding

This can be rounded several ways, depending on the criterion you choose.

The initial value 4.30 has 3 significant figures, so this could be rounded to 3 significant figures as 0.0102 g. This is the value we show at the top of this answer.

The initial value is accurate to a hundredth of a gram, so this could be rounded to a hundredth of a gram as 0.01 g.

The value 50,000 years has 1 significant digit, so we could round this to 1 significant digit as 0.01 g.

__

Additional comment

The problem statement gives the initial amount twice, once with 3 significant figures, and once with only 2 significant figures. If the answer is rounded to 2 significant figures, it would be 0.010 g.

There does not appear to be any justification for an answer of 0.0100 grams.

<95141404393>

please HELP me don’t BE RUDE IM WASTING MY PTS

Answers

The line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times and so on.

What is a line graph?

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

Draw dots on each of the data element in the data set:

25 repeated 1 time

25 1/2 repeated 2 times

26 repeated 1 time

27 3/4 repeated 1 time

and so on.

Thus, the line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times and so on.

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The square of a number is 3 less than four times the number. Which values could be the number?
(More than one answer)
a. 3
b. 0
c. 1
d. -3
e. -1

Answers

Answer:

A and C.

Step-by-step explanation:

We are given that: "The square of a number (which we can call x) is three less than four times the number."

In other words:

[tex]\displaystyle x^2 = 4x - 3[/tex]

Hence solve for x by isolating the equation and factoring:

[tex]\displaystyle \begin{aligned} x^2 - 4x + 3 & = 0 \\ \\ (x-1)(x-3) & = 0 \\ \\ x & = 1 \text{ or } x = 3 \end{aligned}[/tex]

In conclusion, our answers are A and C.

Which of the following is an example of an exponential function?

f(x) = 4x^3 + 2x^2 – 3x + 9
g(x) = log2(x)^3
h of x equals the quantity x squared plus 2x minus 7 end quantity divided by the quantity x plus 1
p(x) = 500(1.02)^x

Answers

Answer:

p(x) = 500(1.02)^x

Step-by-step explanation:

I took the test and got a 100.

The exponential function is p(x) = 500(1.02)×, option (D) is correct.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]

where a is a constant and a>1

We have the functions given in the options:

As we know the standard form of the exponential function is:

f(x) = a(b)×

The exponential function will increase or decrease exponentially.

From the option:

p(x) = 500(1.02)×

p(x) is an exponential function.

Thus, the exponential function is p(x) = 500(1.02)×, option (D) is correct.

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What is the surface area of this right triangular prism?

Right triangular prism. The height of the prism is labeled 12 in. The base of the prism is a triangle with sides labeled 13 in., 13 in., and 24 in. There is a dashed line from the vertex of the triangle perpendicular to the 24 in. side that is labeled 5 in.

PLSSS ANSWER

Answers

Answer:

the answer is 720

Step-by-step explanation:

I took the test

can i find the area of a parrallelogram without the height?

Answers

Answer:

yes

Step-by-step explanation:

you have to use trigonometry to find the area of a parallelogram without the height.

the formula is: Area = ab(sin(x))

Where a and b are the length of parallel sides and x is the angle between the sides of the parallelogram.

Please solve eedfefsre3dfve

Answers

It will be 6 cause it is going by 1+ 1,2,3,4,5,6 (if it was 1,3,6,9, it will be 12 cause it is going by 3+) so answer is 6

Answer:

[tex]t_n=n[/tex]

Step-by-step explanation:

Arithmetic sequence

General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

where:

[tex]a_n[/tex] is the nth terma is the first termd is the common difference between terms

Given sequence: 1, 2, 3, 4, 5, ...

Therefore:

a = 1d = 1[tex]a_n=t_n[/tex]

Substituting the given values into the formula:

[tex]\implies t_n=1+(n-1)1[/tex]

[tex]\implies t_n=1+n-1[/tex]

[tex]\implies t_n=n[/tex]

Therefore, [tex]t_n=n[/tex]

5/8 ÷ 3/4

I Need help?
LIKE NOW!!!

Answers

Answer: 5/6

Step-by-step explanation:

5/8 / 3/4

5/8 * 4/3= 20/24

20/24 / 4/4 = 5/6

Ian Zander earns extra money by refinishing wood floors. His charge is based on the size and condition of the floor. Last month, he refinished 6 floors for $140 each, 2 floors for $220 each and 1 floor for $178. What average amount per floor did he earn for the month?

Answers

Answer:

Average per floor = 162 dollars.

Step-by-step explanation:

Remark

First find the number of floors

Then make a total   income received from those floors.

Then divide the total income by the number of floors, to get the average

Number of floors

Total number of floors = 6 + 2 + 1 = 9 floors

Total income

Total income = cost per floor * the number of floors.

Total income

6 * 140 =  840

2 * 220 = 440

1 * 178   = 178

Total    = 1458

Average income / Floor

Average income / Floor = Total amount / number of floors

Average Income / Floor = 1458 / 9 =  162

The point P=\left(-1/7, y) lies on the unit circle shown below. What is the value of y in its simplest form?

Answers

Step-by-step explanation:

The unit circle is a circle in the form of

[tex] {x}^{2} + {y}^{2} = 1[/tex]

while x = cos t

y= sin t

, where t is an angle

So we plug in -1/7, for x to find y

[tex]( \frac{ - 1}{7} ) {}^{2} + {y}^{2} = 1[/tex]

[tex] {y}^{2} = \frac{49}{49} - \frac{1}{49} [/tex]

[tex]y = \frac{4 \sqrt{3} }{7} [/tex]

If the point is in the 2nd quadrant, your value of y is positive

If it in the third quadrant, the y value is negative

ayudenme porfavor es para mañana ​​

Answers

Hello..!

If you say that the value of x is an integer then the number when divided by 3 which is "3x" will result in an integer:

[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf40 \div 3 = 13.33}}[/tex]

Option A) does NOT return an integer so it is not the answer.

[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf41 \div 3 = 13.66}}[/tex]

Option B) is also not the answer.

[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf42 \div 3 = 14}}[/tex]

Option C) does result in an integer but let's see the others:

[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf{43 \div 3 = 14.33}}}[/tex]

Option D) also does not return an integer.

[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \sf{44 \div 3 = 14.66}}[/tex]

And lastly option E) does not result in an integer so the only one that results in an integer is option C) and that is the 42nd answer.

[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf{\sf \orange\longmapsto{ \red{C) \: \green{42°} }}}[/tex]

So, the correct part is C)42°

Answer:

The result is

C) 42°

Hope this helped

Maria hiked 2 miles in 1.5 hours how long will it take her to hike 6 miles

Answers

Answer:

4.5 hours

Step-by-step explanation:

If 2 miles takes 1.5 hours, then 6 miles will be 4.5 hours.

2 miles = 1.5 hours

6 times 1.5 = 4.5

Therefore, 6 miles will take 4.5 hours.

Answer:

4.5 Hours

Step-by-step explanation:

2/1.5=6/ x

Cross multiply

2x=1.5*6

2x=9

x=4.5

Anthony has a sink that is shaped like a half-sphere. The sink has a volume of 3000
 in3
. One day, his sink
3
clogged. He has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely
full when Anthony begins scooping.
(a) One cup has a diameter of 5 in. and a height of 6 in. How many cups of water must Anthony scoop
out of the sink with this cup to empty it? Round the number of scoops to the nearest whole
number. Show all your work.
(b) One cup has a diameter of 6 in. and a height of 6 in. How many cups of water must he scoop out of
the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
PLEASE HELP
worth 20 points.

Answers

Answer:

a) 80
b) 56

Step-by-step explanation:

a) Calculate the volume of the the cup using volume of cylinder equation: [tex]V = \pi r^{2} h[/tex]

Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches ([tex]in^3[/tex]).
You're given diameter, so use equation [tex]d/2 = r[/tex] to find radius.
Substituting these equations will give you: [tex]V = \pi (d/2)^2 h[/tex]
However, the given volume of the sink is 3000[tex]\pi[/tex], meaning that you should modify your results to match this value. Do not substitute [tex]\pi[/tex] for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 [tex]\pi[/tex]
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
[tex]Vsink / V cup =[/tex] # of cups.
Note the the [tex]\pi[/tex] will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.

Answer:

a) 117.75

Step-by-step explanation:

3.14 * 2.5^2=19.625

19.625*6=117.75

Find the initial value for g(x)=.8(1.32)^x

Answers

Answer:

8

Step-by-step explanation:

I hope this helps! If it does, please mark me Brainliest! Thanks in advance!

Use the quadratic formula to solve the equation.
y^2 + 7 = 6y

Answers

The answer is y = 3 ± √2
y^2 + 7 = 6y

First step: shift everything to one side
y^2 + 7 - 6y = 0

Second step: rearrange terms to fit the formula ax^2 + bx + c
y^2 - 6y + 7 = 0

Note in this equation a = 1, b = -6 and c = 7

Quadratic formula in general is x = (-b +/- Squareroot (b^2 - 4ac)) / 2a

so in this case it’ll be something like y= (-(6) +/- squareroot of ((-6)^2 - 4 (1)(7))/ 2(1)

You should key it into a calculator and get y = 4.41 and y = 1.59 (both rounded to 3 significant figures)

In an orchard, there are 16 apple trees, 22 orange trees, and a cherry tree. What is the ratio of apple trees to orange trees? OA. 1:22 OB 22:16 OC. 16:22 OD. 38:22​

Answers

The answer is option C. 16:22. This is because we’re comparing apple trees:orange trees. There are 16 apple trees and 22 orange trees. A ratio is just a comparison. Let me know if you need further explanation and I’ll be happy to help!

Answer:

C.  16 : 22

Step-by-step explanation:

Given:

Apple trees = 16Orange trees = 22Cherry trees = 1

Ratio of apples trees to orange trees:

⇒ apple : orange

⇒ 16 : 22

Brainliest to the correct answer, but answer ASAP
ONLY answer if you are 100% sure so don't say "I think" or "It might be"

Answers

Answer:

153.86 ft squared

Step-by-step explanation:

A = πr^2
A = 3.14(7)^2
A = 3.14*49
A = 153.86

Hope this helps, good luck on the test!

How do I find both answer for this question??

Answers

Answer:

  (a)  46°

  (b)  86°

Step-by-step explanation:

When the secants cross externally (figure a), the angle where they cross is half the difference of the subtended arcs.

When they cross internally (figure b), the angle is half the sum of the subtended arcs.

__

(a)

Half the difference of arcs VW and VX is ...

  ∠VYW = 1/2(160° -68°) = 46°

  m∠VYW = 46°

__

(b)

Half the sum of arcs AB and CD is ...

  ∠CED = 1/2(arc AB +arc CD)

  2×∠CED = arc AB +arc CD . . . . . multiply by 2

  2×∠CED -arc AB = arc CD . . . . . subtract arc AB

  arc CD = 2×85° -84° = 86°

  m arc CD = 86°

14. Joe just purchased an oddly shaped piece of property, depicted in the figure below. 10 yds 13 yds I 12 yds 15 yds 24 yds What is the area, in square yards, of Joe's new property?​

Answers

The Area of Piece of Land is  = 150 +[tex]24\sqrt{11}[/tex]  squared yards

What is Area of Trapezium?

The area of a trapezium can be calculated using the lengths of two of its parallel sides and the distance (height) between them.

As the yard is in shape of Trapezium.

We have to find the area of trapezium.

Area of piece of property = Area of Triangle +  Area of rectangle + Area of Triangle

Area of Triangle I,

base = [tex]\sqrt{(13)^{2}{-(12)^{2}}[/tex] = [tex]\sqrt{169-144}[/tex]= 5yds

Area = [tex]\frac{1}{2}*b*h[/tex]

        =0.5 x 5 x 12

       = 30 squared yds

Area of rectangle = length x breadth

                             = 10 x 12

                             = 120 squared yds

Area if Triangle II, base = [tex]\sqrt{(15)^{2}{-(7)^{2}}[/tex]= [tex]\sqrt{225-49}[/tex]= [tex]4\sqrt{11}[/tex]

Area= [tex]\frac{1}{2}*b*h[/tex]

        =0.5 x [tex]4\sqrt{11}[/tex]  x 12

        = [tex]24\sqrt{11}[/tex] squared yds

Area of piece of land = 30 + 120 + [tex]24\sqrt{11}[/tex]

                                    = 150 +[tex]24\sqrt{11}[/tex] squared yards

Hence, the area of piece of land= 150 +[tex]24\sqrt{11}[/tex]  squared yards

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estimate for 290% of 40

Answers

Answer:

116

Step-by-step explanation:

290% as a decimal is 2.9. "Of" means multiply. You can now multiply 2.9 by 40 to get the answer 116.

im pretty sure its 116

100 POINTS TO WHOEVER IS CORRECT!!
SHOW ALL WORK. PLEASE HELP.
ALSO SHOW WHERE YOU CONNECTED THE DOTS
QUESTION -
WHAT IS THE AREA OF THIS IRREGULAR POLYGON?

Answers

The area of the irregular polygon = area of the 2 triangles + area of the rectangle = 25 units².

What is the Area of a Rectangle and a Triangle?Area of a triangle = ½bhArea of a rectangle = (length)(width)

The irregular polygon can be decomposed into two triangles and a rectangle.

Area of triangle AGE = ½bh = ½(6)(3) = 9 units²

Area of triangle EGF = ½bh = ½(2)(4) = 4 units²

Area of rectangle ABCD = (length)(width) = (4)(3) = 12 units²

Area of the irregular polygon = 9 + 4 + 12 = 25 units².

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When Jenny started her shift at the ice cream shop the tub of chocolate was 2/3 full. When she finished her shift 6 1/2 hrs later there is only 1/6 tub left. What was the average hourly change in fullness

Answers

Answer:

6 1/2=5??

Step-by-step explanation:

so try 5-1/6 and divide by the 5 (if u get no answer pls dont be so quick to put i am still checking)

Which is NOT an optional supplemental material to enhance your writing?
A. graphs or charts
B. photographs
C. blog posts
D. headings and subheadings

Answers

Answer:

B. photographs

Step-by-step explanation:

I have an assignment where I need 50 responses of how many hats you have. How many hats do you have?

Answers

To add more answer options, click the + Add an answer button below the answer options A and B. You can add up to 10 answer options in total for a multiple choice question. Indicate the correct answer(s) using the checkbox(es) aligned to the right of the answer options

Hi, I have 3 different hats. Good luck on your assignments!

Angle ABC measures 140°. Angle DBC bisects ∠ABC. Angle EBC bisects ∠DBC. What is the measure of ∠EBC?

Answers

Answer:

[tex]\angle{EBC}=35\textdegree[/tex]

An angle bisector divides the angle measure into two equal parts. In triangle ABC, B is the point at which the angle lies.

Step-by-step explanation:

Picture segment BD drawn from point B of tri.ABC where it connects to segment AC, creating point D. Now picture E drawn on the newly created segment DC where it connects to point B and down to point C. Here's a drawing to better show this:

It's bisecting the bisected angle ABC. So, 140/2 = 70, and 70/2 = 35.

what is 2 3/4 dived by 3

Answers

Answer:

0.91666666666 hope this helps

just literally divide

The volume of a cube is 979cm3. Work out the length of its side rounded to 1 DP.

Answers

Answer:

9.9

Step-by-step explanation:

Volume of cube= side x side x side = (side)³

(side)³ = 979

= side = ∛979

= 9.9

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