Consider a triangle with vertices at S(-2, -3), A(2, 3), and N(5, -4). Find the length of each side rounding your answer to the nearest tenth and then determine which is the shortest.
The length of side SA is: type your answer...
The length of side AN is: type your answer...
and the length of side NS is: type your answer...
Therefore the shortest side is: type your answer...
CLASS ENDS IN ONE HOUR HELP

Answers

Answer 1

We can use the distance formula to solve: √(x2-x1)²+(y2-y1)²

Side SA:

√(2-(-2))²+(3-(-3))²

√4² + 6²

√16 + 36

√52

≈ 7.21

Side AN:

√(5-2)²+(-4-3)²

√3² + -7²

√9 + 49

√58

≈ 7.62

Side NS:

√(-2-5)²+(-3-(-4))²

√-7² + 1²

√49 + 1

√50

≈ 7.07

Therefore, the shortest side is "NS"

Best of Luck!


Related Questions

3/5 + -1/3 =


help qwq

Answers

Answer:

the answer is

3/5-1/3=4/15

Find the area of a right triangle with a base length of 30 units and a height of 24 units

Answers

Answer:

360

Step-by-step explanation:

Area= 1/2 ( 30)(24)

Area = 360

please help!!!! D:
(word problem grade 7-8)​

Answers

Answer:

1

Step-by-step explanation:

To solve this, first, take 22 minutes and divide it by 60 minutes, which is the number of minutes in an hour. Then, add two to the value, and multiply it by six square meters per hour, which is the rate that David can paint the wall. From there, you get 14.2 square meters which he painted in 2 hours and 22 minutes. Divide 14.2 square meters by the length of 11 meters to get 1.290 meters. Since they asked you to round to the nearest meter, you get 1 meter.

Tallahassee, FL, has a population of 483,493. New York, NY, has 345,876 more people than Tallahassee
What is the population of new york?

Answers

The answer to this question is 829369

hugo received $100 for his bithday. He then saved $20 per week until he had a total of $460 to buy a printer. Use the equation to show how many weeks it took him to save the money.

Answers

Answer:

18 weeks

Step-by-step explanation:

So, Hugo received $100 for his birthday.

He saved $20 per week. Let x denote the weeks that passed. Therefore:

[tex]y=100+20x[/tex]

This equation represents the total money y Hugo has after x weeks.

The printer cost $460. Thus, set y to $460:

[tex]460=100+20x[/tex]

Solve for x.

Subtract 100 from both sides:

[tex]360=20x[/tex]

Divide both sides by 20:

[tex]x=18[/tex]

Therefore, it took Hugo 18 weeks to save up $460.

Find the midpoint of the segment with the following endpoints.
(4,2) and (7,6)

Answers

Answer:

The answer is

[tex]( \frac{11}{2} \: , \: 4)[/tex]

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(4,2) and (7,6)

The midpoint is

[tex]M = ( \frac{4 + 7}{2} \: , \: \frac{2 + 6}{2} ) \\ = ( \frac{11}{2} \: , \: \frac{8}{2} )[/tex]

We have the final answer as

[tex]( \frac{11}{2} \: , \: 4)[/tex]

Hope this helps you

2. Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatest number of cookies possible, how many plastic containers does she need?

Answers

Answer:

you find the gcf/ greatest common factor of both numbers which is 6, so 6 plastic containers

Step-by-step explanation:

If you are buying at item at a store for a price of $19, and there is a
5.6% tax added on top, what would be the total amount due at the
register, to the nearest cent?

Answers

Answer:

20.05 or 20.06

Step-by-step explanation:

19 x .056

1.064 =  1.06 or 1.05

f(x)=2x-5 find the inverse ​

Answers

Answer:

1/2x+5/2

Step-by-step explanation:

1. Change f(x) to y

y = 2x – 5

2. Switch x and y.

x = 2y – 5

3. Solve for y by adding 5 to each side and then dividing each

side by 2.

x+5=2y

4. Change y back to f^-1(x)... in other words the inverse

f^-1(x)=(x+5)/2

= 1/2x+5/2

Step-by-step explanation:

y=f-1(x)=1/2(x+5)

explanation: write y equals 2x - 5 and now interchange X and Y it becomes x equals 2y - 5

now solve for y equals F -1 (x) equals 1/2(x + 5)

g(x)= (x + 5) / (2)

is the inverse function of F (x)= 2x - 5

Solve for x. 2(-5x-10)=-60

Answers

Answer:

x=4

Step-by-step explanation:

Please help it’s due tomorrow and I really don’t want to fail please

Answers

If the triangles are similar, that means their side to side ratios will be the same.

For example, we are given the side lengths 6 and 9 to corresponding sides.

Meaning that the side to side ratios are 6:9, or 2:3.

Using this, we can find the missing side length value.

58:x = 2:3

[tex]\frac{58}{x}=\frac{2}{3}[/tex]

[tex]2x=174[/tex]

[tex]x=87[/tex]

The missing side length is 87.

Hope this helps.

頑張って!

The dimensions of various-sized mirrors are created using the expression 0.5x – 2 for the width and 2x + 2 for the length. The function A(x) = x2 – 3x – 4 represents the area of the mirrors. The maximum length of the mirrors is 52 centimeters.

How do the mathematical domain and reasonable domain compare?

a.) mathematical: {x E R} reasonable: {x > 0}

b.) mathematical: {x E R} reasonable: {x > 4}

c.) mathematical: {x > 1.5} reasonable: {x > 0}

d.) mathematical: {x > 1.5} reasonable: {x > 4}

Answers

Answer:

b all real numbers x>4

Step-by-step explanation:

edg answer

HELP ASAP Write an equation for a line that satisfies the given conditions which are through (9,5); slope 0

Answers

Answer:5=0+9

Step-by-step explanation:

Find the distance between the points.
(6,11) and (6,5)

Answers

6 units? Aaaaaaaaaaaa
I pretty sure it would be 6

Find the distance represented by 4.9 inches if 1 inch = 50 miles.
O A. 4.9 miles
B. 49 miles
C. 209 miles
OD. 245 miles
O E. none of these

Answers

Answer:

E. none of these

Step-by-step explanation:

4.9 inches = 7.73359e-5 miles

what type of transformation does shape A undergo to form shape B?

A. a reflection across the x-axis
B. a translation 3 units right and 1 unit down
C. a 90° counter clockwise rotation
D. a 90° clockwise rotation​

Answers

a 90° clockwise rotation

Answer:it’s A 90 clockwise rotation

Step-by-step explanation:

Use the drop-downs to identify the domain and range of the following relation.
{(4, -7), (0, 6), (5,-3), (5, 2)}
What is the domain of this relation?
What is the range of this relation?

Answers

Answer:

Domain ( -4,0, 5) Range ( -7, -3, 2, 6)

Step-by-step explanation:

The domain and range of the given relation {(4, -7), (0, 6), (5,-3), (5, 2)}

is:

Domain = { 4, 0, 5, 5 }

Range = { -7, 6, -3, 2 }

Given,

{(4, -7), (0, 6), (5,-3), (5, 2)}

We need to find what is the domain and range of this relation.

What are the domain and range of a function?

A function has an input and an output.

Example: f(x) = x + 4

Now,

x = 1, 2, 3

f(1) = 1 + 4 = 5

f(2) = 2 + 4 = 6

f(3) = 3 + 4 = 7

Here,
Domain = 1, 2, 3

Range = f(1), f(2), f(3) = 5, 6, 7

We can also write it as { (1,5), (2,6), (3,7)}

Find the relation.

(4, -7)

Here,

domain = 4 and range = -7

(0, 6)

domain = 0 and range = 6

(5,-3)

domain = 5 and range = -3

(5, 2)

domain = 5 and range = 2

Find the domain and range of {(4, -7), (0, 6), (5,-3), (5, 2)}.

Domain = { 4, 0, 5, 5 }

Range = { -7, 6, -3, 2 }

Thus the domain and range of the given relation {(4, -7), (0, 6), (5,-3), (5, 2)}

is:

Domain = { 4, 0, 5, 5 }

Range = { -7, 6, -3, 2 }

Learn more about the domain and range of a function here:

https://brainly.com/question/28135761

#SPJ2

please show work and how​

Answers

Answer:

He can buy up to 20 tickets (ie 20 tickets or less)

The equation is 10+3.25x+5 = 80

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

Explanation:

10 = admission cost

3.25 = cost per ticket

x = number of tickets

3.25x = cost from buying x number of tickets

5 = cost of nachos & coke

10+3.25x+5 = total cost of admission, tickets, and food/drink

10+3.25x+5 = 80 since this is the amount he has in his pocket

---------------

Let's solve for x

10+3.25x+5 = 80

3.25x+15 = 80

3.25x = 80-15 .... subtract 15 from both sides

3.25x = 65

x = 65/3.25 ........ divide both sides by 3.25

x = 20

Billy can buy up to 20 tickets (ie 20 tickets or less).

What is the value of |-7 |?

Answers

Answer:

7

Step-by-step explanation:

Does anyone know the answer

Answers

1/8, 2/16, Equivalent fractions can be found by multiplying or dividing both the numerator and the denominator by the same number.
1/8 and 2/16 are Equivalent fractions

raina wants to save $900 to buy TV she save $17 each week the amount A (in dollars) that she still needs after W weeks is given by the following function

Answers

Answer:

a  19  

b 798 dollars

Step-by-step explanation:

a you just plug in a random nuber in

b all you have to do is plug 6 for x

900-17(6)=798

The question is in the picture, please help.

Answers

Answer:

b c and f edit: also A

Step-by-step explanation:

just gotta find what is reflexive

During a huge snowstorm in the White Mountains last year, it snowed 300 centimeters in one week. How much did it snow in meters?

Answers

Answer:

3 Meters

Step-by-step explanation:

100 centimeters is equal to 1 meter

300/100=3

or

300 centimeters divided by 100 centimeters (for ever meter) is 3

ya+yv=t What is the solution for y

Answers

Answer:

y = [tex]\frac{t}{a+v}[/tex]

Step-by-step explanation:

Given

ya + yv = t ← factor out y from each term on the left side

y(a + v) = t ( divide both sides by a + v )

y = [tex]\frac{t}{a+v}[/tex]

Answer: y = yah

Step-by-step explanation:

how do you find the slope and the y-intercept of y=6x-12

Answers

Answer:

Slope = 6, y-intercept = -12.

Step-by-step explanation:

Slope is the coefficient of the x-term, which is 6 in this case.

The y intercept is the constant term that comes after the x-term, which is -12.

(GIVING BRANLIEST) What is 18x+2x?

Answers

Steps to solve:

18x + 2x

~Combine like terms

20x

Best of Luck!

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{20x}}}}}[/tex]

Step-by-step explanation:

For the addition and subtraction of expression, like terms are added or subtracted as per the signs given and unlike terms are kept as they are. The sum or difference of like terms give another term in which it's coefficient is sum or difference of their coefficient.

Let's solve

[tex] \sf{18x + 2x}[/tex]

Collect like terms. Add : 18x and 2x

[tex] \dashrightarrow{ \sf{20x}}[/tex]

Hope I helped!

Best regards! :D

Tyra buys 14 gallons of gas for $35. How could she figure out how much 1 gallon of gas cost

Answers

Answer:

The cost of 1 gallon is $2.5

Step-by-step explanation:

Given

Cost of 14 gallons = $35

Required

Determine the cost of 1 gallon

From the given parameters, we have:

[tex]14\ gallons = \$35[/tex]

Divide both sides by 14

[tex]\frac{14\ gallons}{14} = \frac{\$35}{14}[/tex]

[tex]1\ gallon = \frac{\$35}{14}[/tex]

[tex]1\ gallon = \$2.5[/tex]

Hence,

The cost of 1 gallon is $2.5

Please help me with this thanks

Answers

If x = 1, then 3*1 = 3 which when modded with 5, we get 3 as a remainder. In other words, 3/5 = 0 remainder 3. We don't use the quotient at all when it comes to modular arithmetic. All we care about is the remainder.

If x = 2, then 3*2 = 6 which leads to remainder 1 when we divide by 5. Therefore, 3x = 1 (mod 5) when x = 2.

If x = 3, then 3*3 = 9 = 4 (mod 5) because 9/5 = 1 remainder 4.

So 3x = 4 (mod 5) when x = 3.

The final answer is C) 3

We don't need to check D since x = 3 is a solution and it's smaller than x = 4.

If you wanted to check x = 4, then 3*4 = 12 = 2 (mod 5) because 12/5 yields a remainder of 2.

Given f(x) = 4x - 3 and g(x) = 7x +5, find f(x) + g(x).

Answers

Answer:

Given f(x) = 2x + 3 and g(x) = –x2 + 5, find (g o f )(x).

(g o f )(x) = g( f(x))

   = g(2x + 3)

   = –(           )2 + 5    ... setting up to insert the input

   = –(2x + 3)2 + 5

   = –(4x2 + 12x + 9) + 5

   = –4x2 – 12x – 9 + 5

   = –4x2 – 12x – 4

Step-by-step explanation:

Answer:

11x +2

Step-by-step explanation:

[tex]f(x) = 4x - 3 \\g(x) = 7x +5\\\\f(x)+g(x) = \\\\4x-3 +(7x +5)\\\\=4x-3+7x+5\\\\=4x+7x-3+5\\\\=11x-3+5\\\\=11x+2[/tex]

Nick walked 3/4of a mie in 12
minutes. How long would it take
him to walk three mies at this
pace?

Answers

Answer:48

Step-by-step explanation:

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