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3 years ago

If y is 22.6 and c is 28.2, find b, rounded to the nearest tenth.

Mathematics

1 answer:

Nat2105 [25]3 years ago

6 0

Can u send the question to be more clear

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I need some help with math. Who can help me?

Evgesh-ka [11]

Step-by-step explanation:

10^2 = 100

10^-2 = 1/100 ➡ 0.01

5 0

3 years ago

"Complete the square" to convert the equation of each circle to graphing form. Identify the center and the radius.

Reil [10]

Answer:

The center is (-3,2) and the radius is r=2

Step-by-step explanation:

The general equation of the given circle is

$x^2+6x+y^2-4y=-9$

Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;

$x^2+6x+3^2+y^2-4y+(-2)^2=-9+3^2+(-2)^2$

$x^2+6x+9+y^2-4y+4=-9+9+4$

$x^2+6x+9+y^2-4y+4=4$

The quadratic trinomials in x and y on the left side of the equations are perfect squares.

We factor to obtain;

$(x+3)^2+(y-2)^2=4$

$(x--3)^2+(y-2)^2=2^2$

Comparing to:

$(x-h)^2+(y-k)^2=r^2$

The center is (-3,2) and the radius is r=2

8 0

3 years ago

the second term of a geometric sequence is 18 and the fourth term is 8 find the common ratio . And find the sum of the first 6 t

777dan777 [17]

Answer:

ratio: 2/3
sum: 73 8/9

Step-by-step explanation:

The general term of a geometric sequence is ...

an = a1·r^(n-1)

You have the 2nd and 4th terms, so ...

a2 = a1·r^(2-1) = a1·r

a4 = a1·r^(4-1) = a1·r^3

We can find r from the ratio ...

a4/a2 = (a1·r^3)/(a1·r) = r^2 = 8/18 = 4/9

Then r is ...

r = √(4/9) = 2/3 . . . . the common ratio

The first term is ...

a2 = 18 = a1·(2/3)

a1 = (3/2)·18 = 27

The sum of the first 6 terms is ...

Sn = a1·(r^n -1)/(r -1)

S6 = 27·((2/3)^6 -1)/(2/3 -1)

S6 = 27·(64/729-1)/(2/3-1) = (27)(665)/243 = 73 8/9

The sum of the first 6 terms is 73 8/9.

_____

Check on the sum

The first 6 terms are ...

27, 18, 12, 8, 5 1/3, 3 5/9

Their sum is 73 8/9, as above.

8 0

3 years ago

Please help! combine like terms to create an equip expression 0.4m - 0.8 - 0.8m

soldi70 [24.7K]

Answer:

1.2-0.8

Step-by-step explanation:

Add 0.4 and 0.8

4 0

3 years ago

What is the area of the partial circle with a radius of 8 cm? Use 3. 14 for pi.

Olegator [25]

Radius=r=8cm

$\\ \tt\hookrightarrow Area=\pi r^2$

$\\ \tt\hookrightarrow Area=\pi 8^2$

$\\ \tt\hookrightarrow Area=64\pi$

$\\ \tt\hookrightarrow Area=64(3.14)$

$\\ \tt\hookrightarrow Area=200.96cm^2$

8 0

3 years ago

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