All categories

3 years ago

A circle has the equation (x−4)2+(y−1)2=34.

Mathematics

1 answer:

salantis [7]3 years ago

5 0

Answer:

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 4)² + (y - 1)² = 34 ← is in standard form

with centre = (4, 1 ) and r² = 34 ⇒ r = $\sqrt{34}$ → A

You might be interested in

Help!! 10 pts and brainliest!

o-na [289]

Answer:

Step-by-step explanation:

scale factor is 0.25

∴ x = 1.5 ÷ 0.25 = 6

5 0

3 years ago

2. Describe a situation that could be modeled with the ratio 4: 1.

charle [14.2K]

Answer:

u can do something like u have 8 pencils and 2 pens

Step-by-step explanation:

cause two divided by two is four and u only have to divide it once so that how u get that answer

8 0

3 years ago

The following data set represents the number of siblings of six students in music class.

VikaD [51]

Where is the number set./..

3 0

3 years ago

Read 2 more answers

A bone fragment has 67% of the parent Pb-210 remaining. The half-life of Pb-210 is 22 years. How old is the bone fragment?

Korolek [52]

To solve this question we will use two important formulas.

The first formula involves the calculation of the decay constant, $k$ which is to be found as:

$k=\frac{0.6931}{T_{\frac{1}{2}}}$

where $T_{\frac{1}{2}}$ is the half life of Pb-210 which is given to be 22 years in the question.

Thus, $k=\frac{0.6931}{22}\approx0.0315$

Now, we will use the second formula which is called the function of decay formula and is given as:

$N = N_{0} e^{-kt}$

where $N$ percentage of Pb-210 remaining in the bone at present, which in our case is 67% or 0.67

$N_{0}$ percentage of Pb-210 to start with, which is always 100% or 1.

Plugging in all these values in the decay formula we are supposed to find the time, $t$ .

$0.67=1\times e^{-0.0315t}$

Taking natural log on both sides we get:

$ln(0.67)=-0.0315t$

$\approx-0.4005=-0.0315t$

$\therefore t=\frac{0.4005}{0.0315}$

$t\approx12.71$ years

Therefore the bone fragment is about 12.71 years old.

7 0

4 years ago

Solve 4x + 2 = 20 klkllk

Archy [21]

Answer:

x = 4.5

Step-by-step explanation:

First, we can subtract 2 from 20 (20 - 2) to get 18.

Now we know that x has to be multiplied by 4 and have a product of 18.

We can divide 18 by 4 to figure out what x is.

18 ÷ 4 = 4.5

We can check our answer by solving the equation:

4(4.5) + 2 = 20

18 + 2 = 20

20 = 20

(sorry if this is confusing but I hope it helped)

6 0

3 years ago