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wlad13 [49]
3 years ago
11

write the standard form of the equation of the circle with radius and center (h,k). r =4; (h,k) = (-2,-3) nee help please answer

.

Mathematics
2 answers:
VMariaS [17]3 years ago
5 0
The equation of the circle is written as (x-h)² + (y-k)² = r²

With the given center and radius the equation will be 

(x + 2)² + (y + 3)² = 16

The answer is A

Hope this helps :)
Hoochie [10]3 years ago
5 0
The standard form of the circle equation is:
{(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2}
In this problem,
r = 4
h = -2
k = -3

Therefore, we just plug in the numbers and simplify:
{(x - ( - 2))}^{2}  +  {(y - ( - 3))}^{2}  =  {(4)}^{2}  \\  {(x + 2)}^{2}  +  {(y + 3)}^{2}  = 16
The correct answer is A
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NEED HELP HERE ASAP<br><br> 6. Find the cube roots of 27(cos 330° + i sin 330°).
VLD [36.1K]
<span>we have that

the cube roots of 27(cos 330° + i sin 330°) will be
</span>∛[27(cos 330° + i sin 330°)]

we know that
e<span>^(ix)=cos x + isinx
therefore
</span>∛[27(cos 330° + i sin 330°)]------> ∛[27(e^(i330°))]-----> 3∛[(e^(i110°)³)]
3∛[(e^(i110°)³)]--------> 3e^(i110°)-------------> 3[cos 110° + i sin 110°]

z1=3[cos 110° + i sin 110°]

 cube root in complex number, divide angle by 3
360nº/3 = 120nº --> add 120º for z2 angle, again for z3
<span>therefore
</span>
z2=3[cos ((110°+120°) + i sin (110°+120°)]------ > 3[cos 230° + i sin 230°]

z3=3[cos (230°+120°) + i sin (230°+120°)]--------> 3[cos 350° + i sin 350°]
<span>
the answer is 

</span>z1=3[cos 110° + i sin 110°]<span>

</span>z2=3[cos 230° + i sin 230°]

z3=3[cos 350° + i sin 350°]<span>

</span>
7 0
3 years ago
A bowl contains
12345 [234]
1 apple + 1 banana
1 apple + 1 orange
1 apple + 1 peach
1 banana + 1 apple
1 banana + 1 orange
1 banana + 1 peach
1 orange + 1 apple
1 orange + 1 banana
1 orange + 1 peach
1 peach + 1 apple
1 peach + 1 orange

11 combinations of food

Hope this helped
5 0
2 years ago
Read 2 more answers
Question 9 - (3 marks available)
finlep [7]

Answer: a) 1,600

              b) 35,000

              c) 120,000

<u>Step-by-step explanation:</u>

First, round each number to one significant digit (the first digit).

Then multiply them.

a) 17   --> rounds to 20

  82   --> rounds to 80

                                       20 x 80 = 2 x 8 with two zeros

                                                     = 1 6 0 0

b) 54   --> rounds to 50

  671   --> rounds to 700

                                       50 x 700 = 5 x 7 with three zeros

                                                       = 3 5 0 0 0

c) 207   --> rounds to 200

  643   --> rounds to 600

                                       200 x 600 = 2 x 6 with four zeros

                                                          = 1 2 0 0 0 0

6 0
3 years ago
When constructing a perpendicular line through a point on a line, how can you verify that the lines constructed are perpendicula
aniked [119]

Answer:

C

Step-by-step explanation:

perpecndicular means they intersect in right angle which is 90°, no matter how long lines are.

7 0
3 years ago
Read 2 more answers
Please help! Picture above^
Virty [35]
ANSWER:

24 minutes

40% of 1 hour is equivalent to 24 minutes.

STEP-BY-STEP EXPLANATION:

1 hour = 60 minutes

If:

100% = 60 minutes

Then:

100% ÷ 2.5 = 60 minutes ÷ 2.5

40% = 24 minutes

THEREFORE:

40% of 1 hour is equivalent to 24 minutes.
3 0
3 years ago
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