B=3,c=7 Please help Iam struggling

Mathematics

1 answer:

Afina-wow [57]3 years ago

8 0

Please provide more information

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Determine whether the statement is true or false. The circle (x − 1)^2 + (y + 1)^2 = 9 intersects the y−axis.

Shkiper50 [21]

From that equation we know the center is: (1,-1) and the radius is three. Since the distance from the center to (0,0) is:

d^2=1^2+1^2

d^2=2

d=√2

Since d<r, √2<3, the circle intersects the y-axis two times.

So the statement saying that the circle intersects the y-axis is true.

8 0

3 years ago

(8.08×10^-10)÷(4.0×10^-3) in scientific notation?

saw5 [17]

Answer:

$\large\boxed{2.02\times10^{-7}}$

Step-by-step explanation:

The scientific notation:

$a\cdot10^k\\\\1\leq a$

We have:

$(8.08\times10^{-10})\div(4.0\times10^{-3})\\\\=\dfrac{8.08\times10^{-10}}{4.0\times10^{-3}}\\\\=\dfrac{8.08}{4}\times\dfrac{10^{-10}}{10^{-3}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=2.02\times10^{-10-(-3)}\\\\=2.02\times10^{-7}$