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Illusion [34]
2 years ago
15

Which of the following is an equation of the circle with a center at (-1,4) and a radius of 2√5 units? plss pahelp naman

Mathematics
1 answer:
Ksivusya [100]2 years ago
8 0

Answer:

Option A

Step-by-step explanation:

The standard form of an equation of a circle is represented by the formula (x-h)^2+(y-k)^2 = r^2. Remember that (h,k) is the center and r^2 is the radius squared.

So, the equation of the circle must be (x+1)^2 +(y-4)^2 = 20. Complete the square to change the form of the equations listed in the options and find the one that is equal.

Let's try this with option A. Move the constants to the right side, then use the completing the square method to place the equation in standard form:

x^2 + y^2 +2x -8y -3 = 0\\x^2 + y^2 +2x-8y = 3\\x^2 + 2x +y^2-8y = 3\\(x^2 +2x+1)+(y^2-8y +16)=3+1+16\\(x+1)^2 + (y-4)^2=20

The end result matches with the equation determined before, so option A is the answer.  

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Last year, 800 students attended the career fair at west high school. this year,the number of students who attended the career f
Delvig [45]

Answer:

840

Step-by-step explanation:

Last year, 800 students attended the career fair at West High School.  

And, this year the number of students who attended the career fair increased by 5%.

We are asked how many students attended the career fair at West High School this year.

Therefore, the number of students attended the career fair at West High School will be 800[1+\frac{5}{100} ]  =800 \times 1.05 = 840. (Answer)

3 0
2 years ago
Find the measure of the missing angles .
maw [93]

Answer:

d = 90°

e = 41°

f = 139°

Step-by-step explanation:

d + 90° = 180° (Angles in linear pair)

-> d = 180° - 90°

-> d = 90°

e = 41° (vertical angles)

f + 41° = 180° (Angles in linear pair)

-> f = 180° - 41°

-> f = 139°

5 0
2 years ago
Write the number in different ways
mina [271]
4. 15 tens, 1 hundred, 5 tens
150
5. 18 tens, 1 hundred, 8 tens
180


note: I hope this helps. I haven't done this in a long time. Sorry X(
3 0
3 years ago
Solve a/-6 + 8 = 12. please answer quickly i'm giving 60 points<br><br> a =
san4es73 [151]

Answer:

a=-24

Step-by-step explanation:

a/-6+8=12

subtract 8 from both sides

a/-6=4

multiply each side by -6

a=-24

3 0
2 years ago
Read 2 more answers
A recipe called for the ratio of sugar to flour to be 10 : 3 if you used 70 ounce of sugar how many ounces of flour would type n
scZoUnD [109]

10 : 3 goes to 70 : x

How to solve? Well...

What gets you from 10 to 70 using multiplication?

70 divided by 10 is 7. So... 7!

So multiply the ratio by 7.

10 : 3 turns into 70 : 21

If you used 70 ounces of sugar, you would need to use <u>21 ounces of flour.</u>

<u></u>

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

4 0
3 years ago
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