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Yakvenalex [24]
3 years ago
5

Please help me with this question

Mathematics
1 answer:
Mashcka [7]3 years ago
4 0
The equation of a circle is:

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

where center is (h,k) and radius is r. Therefore, in this question, you need to check if the (h,k) values are the same. Let's view each option and judge accordingly:

A. (0,-4) and (-4,0) : Nope
B (-3,3) and (3,-3) : Nope
C. (7,2) and (-7,-2) : Nope
D. (2,5) and (2,5): Yes, the centers are equal.

Therefore, your answer is option D.
You might be interested in
The math team does practice drill that each last 1/6hour in November the team did practice drills for a total of 24hrs how many
never [62]

Answer:

I think 144

Step-by-step explanation:

there is 1440 minuets in an hour 1 6th of an hour is 10 minuets if you divide 10 by 1440 its 144

7 0
3 years ago
An actor invests some money at 7%, and $24000 more than four times the amount at 8%. The total annual interest earned from the i
natita [175]

Answer:

  • $70,000 at 7%
  • $304,000 at 8%

Step-by-step explanation:

<u>Given</u>:

  Total interest earned on two investments is $29,220.

  An amount is invested at 7%.

  $24,000 more than 4 times that amount is invested at 8%.

<u>Find</u>:

  The amount invested at each rate.

<u>Solution</u>:

  Our strategy will be to define a variable representing the amount invested at 7%, use that variable to write an expression for the amount invested at 8%, then write an equation for the total return on the investments.

Let x represent the amount invested at 7%. Then (24,000+4x) will be the amount invested at 8%. The total interest earned will be ...

  interest on 7% account + interest on 8% account = total interest

  0.07x + 0.08(24000+4x) = 29220

  0.39x + 1920 = 29220 . . . . . . . . . . . simplify

  0.39x = 27300 . . . . . . . . . . . . . . . . . .subtract 1920

  x = 27300/0.39 = 70000 . . . . . . . . . divide by the coefficient of x

  24,000 +4x = 24,000 +280,000 = 304,000 . . . . amount invested at 8%

He invested $70,000 at 7% and $304,000 at 8%.

<u><em>Check</em></u>

The answer must satisfy ...

  7% interest + 8% interest = 29,220

  0.07×70,000 +0.08×304,000 = 4,900 +24,320 = 29,220 . . . . as required

_____

<em>Comment on 6-step method</em>

We have tried to hit the highlights. Your steps appear to be ...

  1. Identify the given information (Given)
  2. Identify the question you are asked to answer (Find)
  3. Identify the useless information in the problem statement (is none)
  4. Decide on a strategy. Make a model or drawing. (model equation shown)
  5. Solve and show work (Solution)
  6. Explain why the answer makes sense (Check)
6 0
3 years ago
What is the simplified form of the equation fraction 3 over 5 n minus fraction 4 over 5 equals fraction 1 over 5 n?
Yuki888 [10]
<span>n = fraction 5 over 3

Explanation;
</span>\frac{3}{5}n- \frac{4}{5}= \frac{1}{5} n
<span>Eliminate the demominator by multiplying each term by 5.
3n-4=1
3n=5
n=</span>\frac{5}{3}
4 0
4 years ago
Read 2 more answers
What is 48,100,000,000,000 in scientific notation? 4.81×10−11 4.81 times 10 to the power of negative 11 4.81×10−13 4.81 ti
Anettt [7]

The scientific notation of 48,100,000,000,000 is 4.81 ×  10^13.

Acccoring to the given question.

We have a number 48,100,000,000,000.

As we know that, scientific notaion is a way of expressing numbers that are too large or too small to be conveniently written in a decimal form.

Therefore,

The scientific notaion of 48,100,000,000,000 is given by

48,100,000,000,000 = 4.81 ×  10^13

Hence, the scientific notation of 48,100,000,000,000 is 4.81 ×  10^13.

Find out more information about scientific notaion here:

brainly.com/question/18073768

#SPJ4

4 0
2 years ago
Ken’s predicted temperature for April is 7ºC. His prediction for May is 2ºC higher than April. He used the number line to solve
tia_tia [17]

Answer: Ken Should have moved 9 units to the right because his prediction for May is 9°C. Moving to the left part of the number line would take Ken into negative degrees. 9°C is warmer than 7°C. Therefore, Ken should have moved 9 units to the right of the number line instead of 2 units to the left.


Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
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