Subtract. Your answer should be a polynomial in standard form. (u²+5u²v+4uv²)−(u²+5u²v²+4uv)=

Answer:

(x + 4)^2 + (y – 9)^2 = 25

Step-by-step explanation:

The standard form for a circle is

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]     where (h, k) is the center and r is the radius

In your case, h = -4 and k = 9 and r = 5

So, (x + 4)^2 + (y – 9)^2 = 25

The equation for this circle is given as

[tex](x+4)^2 + (y-9)^2 = 25[/tex]

Data

The equation of circle is given by

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Let's substitute our values and get our equation

[tex](x--4)^2 + (y-9)^2 = 5^2\\(x+4)^2 + (y-9)^2 = 25[/tex]

we substituted the values of h and k and made sure it's in the standard form of equation of a circle.

The equation for this circle is given as

[tex](x+4)^2 + (y-9)^2 = 25[/tex]

This looks exactly like

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Learn more on equation of a circle here;

https://brainly.com/question/15214797

Answer:

40 kilometers

Step-by-step explanation:

the hypotenuse is a² + b² = c²

so first we have to get 32 and 24 into ²

            32² = 1024       (32 × 32)

            24² = 576         (24 × 24)

1024 + 576 = 1600

now we need to find the square root of 1600

√1600 = 40     (calculator)

therefore, the hypotenuse is 40 kilometers

goodluck, hope this helped,

-cheesetoasty

Answer:

x = 25

Step-by-step explanation:

If JK and MN are parallel lines, then ∠JKL = ∠LMN = 61°

By the opposite angle rule, ∠JLK = 39°

In a triangle three angles sum up to 180°

so, ∠JLK + ∠JKL +LJK = 180°

39° + 61° + 3x+ 5 = 180°

3x = 75

x = 25

Step-by-step explanation:

[tex]61 + 39 + 3x + 5 = 180 \\ \\ 105 + 3x = 180 \\ \\ 3x = 180 - 105 \\ \\ 3x = 75 \\ \\ x = 75 \div 3 \\ \\ x = 25 \\ [/tex]

Answer:

Density = 10,490 g/m³

Step-by-step explanation:

Density = mass ÷ volume

here mass = 73,430 g

        volume = 7 m³

density = 73,430 ÷ 7

             = 10490 g/m³

Density = 10,490 g/m³

Answer:

Area of a Square is the square of its side. In your question, the length of the side of the square is 5x and the calculates to (5x^2)square units.

Area of Square = (side^2)

Step-by-step explanation:

Answer:

4^8

Step-by-step explanation:

4^3 x 4^5 = 4^3+5 = 4^8 = 65536

Answer:

rational but not integers:  2/3, -1.8, 3.2, -5/4

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Let the amount of money Taylor spent = x

The number of jeans she bought is 1-fith the amount of money she spent. She bought 6 jeans.

Hence

1/5 × x = 6 jeans

x/5 = 6 jeans

Cross Multiply

x = 5 × 6 jeans

x = 30

The amount of money Taylor spent = 30

Answer:

1) Sam makes 48 pizzas in 8 hours. Sam makes 6 pizzas per hour.

2) The machine makes 1.8 copies per second.

3) 10 pens cost $9.00

4) $0.28

Step-by-step explanation:

1)

[tex]\frac{15}{2.5} =\frac{x}{8} \\\\2.5x=120\\x=48[/tex]

[tex]\frac{15}{2.5} =\frac{x}{1} \\\\2.5x=15\\x=6[/tex]

2)

[tex]\frac{45}{25} =\frac{x}{1} \\\\25x=45\\x=1.8[/tex]

3)

[tex]\frac{3}{2.7} =\frac{10}{x} \\\\3x=27\\x=9[/tex]

4)

2.8/10 = 0.28

Answer: 16.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

10 units

Step-by-step explanation:

Calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (5, 2) and (x₂, y₂ ) = (- 3, - 4)

d = [tex]\sqrt{(-3-5)^2+(-4-2)^2}[/tex]

  = [tex]\sqrt{(-8)^2+(-6)^2}[/tex]

  = [tex]\sqrt{64+36}[/tex]

   = [tex]\sqrt{100}[/tex]

    = 10

Answer:

isosceles right triangle

Step-by-step explanation:

In this question it is given that the two sides of easel are same.

A triangle formed has three sides - two of easel and one of the table itself.

The angle formed in 90 degrees (right angle)

Hence the triangle is a isosceles right triangle

Answer:

Law of sines

Step-by-step explanation:

i took the test

The law of sines can be used to calculate the side h. Hence, option B is correct.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

For triangle FGH, angles F and G are known, as is the length of side h. The sin angle is the ratio of the perpendicular to the hypotenuse we can calculate one side by using the sine angle.

Hence, Hence, option B is correct.

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ2

Answer:

19.20

Step-by-step explanation:

c = 13.86

Answer: 6/4x

Then  John ended up with  v/4  magnets  and  gave away  (3/4)x

Liam   gave  away  2 ( 3/4)x = 6/4x  magnets  and  was  left  with  x/4  magnets

Notice that they have the same number now so  John  has 100%  of Liam's  magnets

Step-by-step explanation:

Give me brainllest

Answer:

B

Step-by-step explanation:

The base is a square

Answer:

The answer is C

Step-by-step explanation:

i did the test

Answer:

I choose option C

Step-by-step explanation:

I really not sure.

sort of 50/50.

so if I am right plz give brainliest

Answer: The answer is B

Step-by-step explanation:

I had the same test

Answer:

Option 2

Step-by-step explanation:

Answer:

m= -6

that's if it's "m" over "m+5" equals 6

let me know if it's "m" over "m" and then plus 5 equals 6

Answer:

The 3rd one 2.15

Step-by-step explanation:

12.35 in whole

1.25 x 3 = 3.75

12.35-3.75= 8.60

[tex]\sqrt[4]{8.60}[/tex] = 2.15

pls give brainlist <33

Answer:

$2.15

Step-by-step explanation:

Start off by multiplying $1.25 by 3 to find out how much the burgers are all together. This would be $3.75 for all three of the burgers. Then subtract $3.75 from the total amount spent ($12.35). This would give you $8.60. To find how much he spend on each corndog, you do $8.60 divided by 4. This would give you the answer of $2.15.

Answer:

9.4 years

Step-by-step explanation:

It is given that Jake left the band.

We are required to find after how many years the band would have 1000 members left since Jake left the band.

The graph is provided where the x-axis represents the number of years since Jake left the band and y-axis which shows the number of fan club members.

It also represents the equation which is [tex]$y=-2,129.75x+21,028.35$[/tex]

According to the question,  when we substitute y i.e. number of members in the fan clubs as 1000 in the above equation ,we get :

   [tex]$y=-2,129.75x+21,028.35$[/tex]

⇒ [tex]$1000=-2,129.75x+21,028.35$[/tex]

⇒ [tex]$-21,028.35+1000=-2,129.75x$[/tex]

⇒  [tex]$-20,028.35=-2,129.75x$[/tex]

⇒   [tex]$x=\frac{-20,028.35}{-2,129.75}$[/tex]

[tex]$x=9.40$[/tex]

Therefore, x =9.4 years

Answer:

(5y - 1)(5y + 1)

Step-by-step explanation:

Assuming you require the expression to be factorised.

25y² - 1 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

25y² - 1

= (5y)² - 1²

= (5y - 1)(5y + 1)

Answer:

Below.

Step-by-step explanation:

25y²-1

This is the difference of 2 squares and it factors to (5y - 1)(5y + 1).