simplify (2/3 of 21/4)
​

Answer:  [tex](x-9)^2 + (y-12)^2 = 225\\\\[/tex]

This is the same as writing (x-9)^2 + (x-12)^2 = 225

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

Explanation:

Any circle equation fits the template of [tex](x-h)^2 + (y-k)^2 = r^2\\\\[/tex]

The center is (9,12) which tells us the values of h and k in that exact order.

h = 9

k = 12

To find the radius r, we need to find the distance from the center (9,12) to a point on the circle. The only point we know on the circle is the origin (0,0).

Apply the distance formula to find the distance from (9,12) to (0,0)

[tex]d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (9-0)^2+(12-0)^2}\\\\d = \sqrt{ (9)^2+(12)^2}\\\\d = \sqrt{ 81+144}\\\\d = \sqrt{ 225}\\\\d = 15\\\\[/tex]

The distance from (9,12) to (0,0) is 15 units. Therefore, r = 15

An alternative to finding this r value is to apply the pythagorean theorem. The distance formula is effectively a modified version of the pythagorean theorem.

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

Since h = 9, k = 12 and r = 15, we can then say:

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-9)^2 + (y-12)^2 = 15^2\\\\(x-9)^2 + (y-12)^2 = 225\\\\[/tex]

which is the equation of this circle.

This is college? Woah I'm not advanced. Middle school!

Sorry I'm not sure if I'm right just my thinking...

set the number to be x so that (5x+2)(3x-4)??

Answer:

x ≠ -4, -1, 3

Step-by-step explanation:

12/(x^2+5x+4) = 8x/(5x-15)

12/((x+1)(x+4)) = 8x/(5(x-3))

division by zero is undefined

There are 3 answers to your question. x= -1 x= 3 x= -4

[tex]\frac{442}{x} = \frac{85}{100} \\85x = 44200\\x = \frac{44200}{85} = 520[/tex]

Original price is 520

Line 1-Line 2-Associative property .

Line 2-Line 3- Distributive property

Solution:-

[tex]\\ \rm\longmapsto (9+x)x[/tex]

[tex]\\ \rm\longmapsto x(x+9)[/tex]

[tex]\\ \rm\longmapsto x(9+x)[/tex]

[tex]\\ \rm\longmapsto x^2+9[/tex]

Answer:

take a light bulb and a potato and some wires connect together will give light

Answer:

i have attached a pic of an idea that might help you

:)

Answer:

There are [tex]2^{20}[/tex] subsets of [tex]A[/tex]

Step-by-step explanation:

Using the formula for the number of subsets of a given (finite) set, the number of subsets of [tex]A[/tex] is

[tex]2^{n(A)}=2^{20}[/tex]

hope you do not mind expressing this on in English ‍♂️

Answer:

y = 68

A = 44

Step-by-step explanation:

No matter what may be true, that doesn't look like an a to me.

x = y = 68                x and y are opposite equal sides and are therefore =.

68 + 68 + A = 180  all triangles are 180 degrees.

136 + A = 180          Subtract 136 from both sides

A = 180 - 136

A = 44

Answer:

a = 6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 8^2 = 10 ^2

a^2 +64 = 100

a^2 = 100 -64

a^2 = 36

Take the square root of each side

sqrt(a^2) = sqrt(36)

a = 6

Answer:

The product of any rational number and any irrational number will always be an irrational number.

Step-by-step explanation:

[tex] {x}^{2} - 17x - 60 \\ (x + 3)(x - 20)[/tex]

First we put parentheses and in each bracket we put (X) and then we put the signs x² is positive and the 17X before it is a negative q is positive with negative —> negative, and negative before 17X and negative before the 60 —> positive. And then the number that does not have (x) where did it come from, for example 60 came from 20 x 3 or 30 x 2...etc. We can verify this by multiplying the parentheses together and the same number comes out .

Or it can be checked by multiplying the first bracket 3 with x from the second parenthesis comes out 3X and negative 20 from the second parenthesis with X from the first parenthesis and subtract 3X from –20xcomes out –17X .

I hope I helped you^_^

Answer:

can you submit the coordinet plane?

Step-by-step explanation:

v=t^2-8t+15

[tex]\boxed{\sf {\displaystyle{\int}^b_a}x^ndx=\left[\dfrac{x^{n+1}}{n+1}\right]^b_a}[/tex]

[tex]\\ \sf\longmapsto s={\displaystyle{\int}}vdt[/tex]

[tex]\\ \sf\longmapsto s={\displaystyle{\int^4_2}}t^2-8t+15[/tex]

[tex]\\ \sf\longmapsto s=\left[\dfrac{t^3}{3}-8\dfrac{t^2}{2}+15t\right]^4_2[/tex]

[tex]\\ \sf\longmapsto s=\left[\dfrac{t^3}{3}-4t^2+15t\right]^4_2[/tex]

[tex]\\ \sf\longmapsto s=\left(\dfrac{4^3}{3}-4(4)^2+15(4)\right)-\left(\dfrac{2^3}{3}-4(2)^2+15(2)\right)[/tex]

[tex]\\ \sf\longmapsto s=\left(\dfrac{64}{3}-64+60\right)-\left(\dfrac{8}{3}-16+30\right)[/tex]

[tex]\\ \sf\longmapsto s=\left(\dfrac{64}{3}-4\right)-\left(\dfrac{8}{3}+14\right)[/tex]

[tex]\\ \sf\longmapsto s=\dfrac{64}{3}-4-\dfrac{8}{3}-14[/tex]

[tex]\\ \sf\longmapsto s=\dfrac{64}{3}-\dfrac{8}{3}-4-14[/tex]

[tex]\\ \sf\longmapsto s=\dfrac{46}{3}-18[/tex]

[tex]\\ \sf\longmapsto s=15.3-18[/tex]

[tex]\\ \sf\longmapsto s=|-2.7|[/tex]

[tex]\\ \sf\longmapsto s=2.7km[/tex]

indirect variation

Verification

[tex]\\ \rm\Rrightarrow s\propto \dfrac{1}{y}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{s_1}{t_2}=\dfrac{s_2}{t_1}[/tex]

[tex]\\ \rm\Rrightarrow s_1t_1=s_2t_2[/tex]

My answer is in the picture

Answer:

2x + 2y - 4

Step-by-step explanation:

The opposite sides are congruent so perimeter (P) is

P = 2(x + 2) + 2(y - 4)

  = 2x + 4 + 2y - 8

  = 2x + 2y - 4

b. The pattern grow by adding 1 tile above the tile and adding 1 tile at the right of the tile.

c. In figure 0, there will be 1 tile. We know this because in each successive figures a tile is added at the above and a tile is added to the right, so ineach preceeding figure the same is reduced. In figure 1, there are e tiles, so in figure 0, there will be 3-2 = 1 tile.

Answer:

That’s simple 10

Step-by-step explanation

Let me know if I’m correct

hope this helps

Answer:

-29

Step-by-step explanation:

(-14) + (-15) =

-14 - 15 =

-29

Answer:

B

Step-by-step explanation:

(7×2)⁶

when we put a number to the power of something, we need to include the whole number. bit just a part of it.

so, it must be 7⁶×2⁶

just think about the simple example 6², which we could write as (2×3)².

would it be sufficient to e.g. square only one of the factors ?

6² = 36

but e.g. 2×3² = 18. so, that's really not it.

or add the two factors and then square them ?

2+3 = 5. 5² = 25. so, that's not it either.

or multiply the exponent in ?

2×3×2 = 12. so that's not it either.

no, it truly is you need to do the operation to all parts.

2²×3² = 4×9 = 36. yes, that fits.

therefore, B is the right answer.

Answer

4

Step by step explanation

2/3=x/10-x

cross multiply

2(10-x)=3x

20-2x=3x

20=3x+2x

20=5x

x=4

Answer:

6 ft

Step-by-step explanation:

Answer:

VW = 6

Step-by-step explanation:

To find x, set up the following equation:

(5x - 4) + (2x) = 5x

Solve out left side

7x - 4 = 5x

Subtract 5x from both sides

2x - 4 = 0

Add 4 to both sides

2x = 4

Divide both sides by 2

x = 2

Plug into 5x - 4

5(2) - 4

10 - 4

6

Answer:

6

Step-by-step explanation:

5x - 4 + 2x = 5x

7x - 4 = 5x

-4 = -2x

2 = x

5(2) - 4

10 - 4

6

Answer:

((5*5) + (10-5) * (50/100)) ÷ 3 = 5

((4*4)+(17-8 *(1.378/2)) ÷ 3.445 = 5

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

To get the amount of paint,you will have to deduct the number of paint she used to start minus the amount of of gallon she finished with.

5/6-1/2

L.C.M

10-6/12

4/12

=1/3

Answer:

Step-by-step explanation:

d

The answer you are looking for is -9/10, or -0.9.

Solution:

-1 3/10+4/10

-13/10+4/10

-9/10, or -0.9

Answer:

-0.9

Step-by-step explanation: