Does a triangle with these side lengths exist 15,12,9

Answer:

4(5x - 3y)(5x + 3y)

Step-by-step explanation:

Assuming you require the expression factored.

Given

100x² - 36y² ← factor out 4 from each term

= 4(25x² - 9y²) ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , thus

25x² - 9y²

= (5x)² - (3y)² ← with a = 5x and b = 3y

= (5x - 3y)(5x + 3y)

Thus

100x² - 36y² = 4(5x - 3y)(5x + 3y) ← in factored form

Answer:

$5.25

Step-by-step explanation:

Step 1:

10.50 / 6 = x / 3       Equation

Step 2:

6x = 31.5      Multiply

Step 3:

x = 31.5 ÷ 6      Divide

Answer:

x = 5.25

Hope This Helps :)

Answer:

Step-by-step explanation:

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

Simply divide both sides of the equation by 6 and it'll be the answer.

Answer:

the first one.

Answer:

k^7

Step-by-step explanation:

As there is nothing in front of it that means the  coefficient is 1

:)

easy?

Answer:

The fraction of the​ airline's flights for  each​ country is 1 /60

The number of international  airline flights is 360 flights

The number of flights for each of the 8 countries is 45 flights

Step-by-step explanation:

Given;

international airline's flights = 2/15

number of countries = 8

total number of the airline flight

The fraction of the​ airline's flights for  each​ country;

[tex]= \frac{2}{15}*\frac{1}{8} \\\\ = \frac{1}{60}[/tex]

The number of international  airline flights;

[tex]= \frac{2}{15} *2700\\\\= 360 \ flights \ are \ international[/tex]

The number of flights for each of the 8 countries;

[tex]= \frac{1}{8} *360\\\\= 45 \ flights \ \\\\OR\\\\= \frac{1}{60}*2700\\\\ = 45 \ flights[/tex]

Answer: 108

Step-by-step explanation:

Answer:

djzkbhjejbebdhhfhhffhfhfhhfhfffhhfhfjfjfjf#/!cupcupcupcupFairmont

Answer:

Step-by-step explanation:

David uses 1 table spoon of sugar for every 1.25 cups of water to prepare lemonade.

Therefore, Number of table spoons of sugar required (S) ∝ Cups of water required (w)

⇒ S ∝ w

⇒ S = kw

⇒ k = [tex]\frac{S}{w}[/tex]

⇒ k = [tex]\frac{1}{1.25}[/tex] = 0.8

So the formula to calculate the amount of water will be,

S = 0.8w

⇒ w = [tex]\frac{S}{0.8}[/tex]

where k = proportionality constant

Now we can complete the table with the help of the formula.

Sugar (tbsp)                   Water (cups)

      1                                     1.25                                                                      

      7                                    8.75    

      3                                    3.75

      5                                    6.25

Answer:

there is no solution for this equation, Hope this helps! x <3

Step-by-step explanation:

v/84=2/21

We move all terms to the left:

v/84-(2/21)=0

We add all the numbers together, and all the variables

v/84-(+2/21)=0

We get rid of parentheses

v/84-2/21=0

We calculate fractions

There is no solution for this equation

Answer:

2600

Step-by-step explanation:

(71+29) * 26

(100) * 26

2600

Answer:

2600

Step-by-step explanation:

Step 1:

First, following the order of operations, you have to do what is in the parentheses.

71+29

The sum of those numbers would be 100

Step 2:

Finally, you multiply 100 with 26

100·26

Which is 2600.

Answer:

WOAH CALM DOWN JAMAL

Step-by-step explanation:

Answer:

y < x-2 and y > x+1

Step-by-step explanation:

Answer:

What are we supposed to solve??? its incomplete

Step-by-step explanation:

Answer:

hope this helps

Step-by-step explanation:

Answer:

you have to graph it urself, but what you have to do is but the starting point at -3, and go down 3 on the y-axis, and up 2 on the x-axis. you can also go up 3 on the x-axis, and 2 down on the y-axis. i hope this explained it and helped you :)

Step-by-step explanation:

Answer:

Answer is C

Step-by-step explanation:

i.e (c x c x c x c) / (c x c x c) = c^1 = c

→[tex] {c}^{4} \div {c}^{3} [/tex]

→[tex] \dfrac{ {c}^{4} }{ {c}^{3} } [/tex]

→[tex] {c}^{4 - 3} [/tex]

→[tex] {c}^{1} [/tex](c¹ and c is same thing)

________________________________

with regards!

★Dull Star★

Answer:

With just sales taxes its $480 in taxes

Step-by-step explanation:

$12,000 x .04 = 480

Answer:

x = -1

Step-by-step explanation:

3x - 10x + 5 = 5x + 17 (collect like terms)

-7x + 5 = 5x + 17 (subtract 5x on both sides)

-12x + 5 = 17 ( subtract 5 on each side)

-12x = 12 ( divide by -12 on each side)

x = -1

Answer:

x = - 1

Step-by-step explanation:

[tex]3x - 10x + 5 = 5x + 17[/tex]

Add the like terms.

[tex] - 7x + 5 = 5x + 17[/tex]

Add 7x to both sides.

[tex]5 = 12x + 17[/tex]

Subtract 17 from both sides.

[tex] - 12 = 12x[/tex]

[tex] - \frac{12}{12} = x[/tex]

[tex] - 1 = x[/tex]

Answer:

The least number of plates and cups she can buy is 24

She will buy 3 packs of plates

She will buy 2 packs of cup

Step-by-step explanation:

Plates = 8 per pack

Cups = 12 per pack

Find the Lowest common multiple of 8 and 12

8 = 16, 24, 32, 40, 48, 56, 64, 72, 80

12 = 24, 36, 48, 60, 72

What is the least number of plates and cups she can buy?

The Lowest common multiple of 8 and 12 is 24

The least number of plates and cups she can buy is 24

How many packs of plates?

Packs of plates = 24 plates / 8 per pack

= 3 packs

She will buy 3 packs of plates

How many packs of cups?

Packs of cups = 24 / 12 per pack

= 2 packs

She will buy 2 packs of cup

Answer:

We have two data points:

2000 shirts can be sold for $80 each.

5,000 shirts can be sold for $65 each.

Then we can define the relation:

P(n).

Where P is the price, and n is the number of shirts.

Now, we know that we can model this as a linear relationship that passes through the points (2000, $80) and (5000, $65)

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case, the slope is:

a = ($65 - $80)/(5000 - 2000) = -$0.005.

Then our equation is:

P(n) = -$0.005*n + b

Now let's find the value of b, we know that:

P(2000) = $80 = -$0.005*2000 + b

                 $80 = -$10 + b

                  $80 + $10 = b = $90

Our equation is:

P(n) = -$0.005*n + $90.

Answer:

3/8

Step-by-step explanation:

Multiply, then divide.

Answer:

1,5 is your answer

Y=5 and X=1

Insert it in the equation

5=3(1)+2

5=3+2

5=5

Hence proved!

Answer:

Yes it is a function.

Step-by-step explanation:

B is my answer.

Step-by-step explanation:

Given data

initial mileage=24,033 miles.

cost to fill tank=$83.38

cost per gallon= $3.79

1. capacity of tank=83.38/3.79=22 gallons

remianing gas= 1/4*22= 5.5gal

gas used= 22-5.5= 16.5gal

new mileage= 24,297 miles.

mile covered= 24,297 miles.-24,033 miles.

=264miles

miles per gallon is =264/16.5

=16miles per gallon

Answer:

The temparature was -15 degrees f.

Step-by-step explanation:

Answer:

45 pizzas

Step-by-step explanation:

She has to feed a crowd fifteen times bigger

Answer:

Step-by-step explanation:

In a rectangle KLMN, if the diagonals KM and LN intersect at O, then KO = ON

GIVEN

KO = 4y+6

ON = 3y+11

Equate

4y+6 = 3y+11

Collect like terms

4y-3y = 11-6

y = 5

KO = 4(5)+6

KO = 20+6

KO = 26

Note that KO = OM = LO = ON = 26

Hence ON = 26

For diagonal KM,

KO+OM = KM

KM = 26+26

KM = 52

LN = LO+ON

LN = 26+26

LN = 52

From.the digram, ∆KON is isosceles triangle hence <KON = KNO =32°

<KON = 180-(32+32)

<KON = 180-64

<KON = 116°

<ONM = 90-32

<ONM = 58°

∆ONM is also an isosceles triangle,

<ONM = <OMN = 58°

Hence <KMN = 58°