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iragen [17]
3 years ago
5

The equation of a circle is (x + 4)2 + (y + 6)2 = 16. Determine the length of the radius.

Mathematics
1 answer:
Viefleur [7K]3 years ago
5 0

Answer:

see explanation

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 + 6)² = 16 is in this form

with r² = 16 ⇒ r = \sqrt{16} = 4

---------------------------------------------------------------

given (h, k) = (5, 2) and r = 20, then

(x - 5)² + (y - 2)² = 400 ← represents the delivery area


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Solve −5+1/4x=3x+6 by graphing.
erma4kov [3.2K]

Answer:

hope its right lol

5 0
3 years ago
Bob discovers a box with 30 identical, used, rechargeable batteries in his attic.
monitta

Answer:

a) All of them are out of charge = 9.31x10⁻¹⁰

b) 20% of them are out of charge = 5.529x10⁻⁴

Step-by-step explanation:

This problem can be modeled as a binomial distribution since

There are n repeated trials and all of them are independent of each other.

There are only two possibilities: battery is out of charge and battery is not out of charge.

The probability of success does not change with trial to trial.

Since it is given that it is equally likely for the battery to be out of charge or not out of charge so probability of success is 50% or 0.50

P = 0.50

1 - P = 0.50

a) All of them are out of charge?

Probability = nCx * P^x * (1 - P)^n-x

Probability = ₃₀C₃₀(0.50)³⁰(0.50)⁰

Probability = 9.31x10⁻¹⁰

b) 20% of them are out of charge?

0.20*30 = 6 batteries are out of charge

Probability =₃₀C₆(0.50)²⁴(0.50)⁶

Probability = 5.529x10⁻⁴

5 0
3 years ago
What is the ratio of 1.5 inch screws to 2.5 inch screws?
Ugo [173]

Step-by-step explanation:

1.5 : 2.5

= 1.5/2.5

15/25

3/5

the ratio is 3 : 5

4 0
3 years ago
28÷x=168<br>What is the value of "x"​
coldgirl [10]
It is 1/6 or .16 I used Photomath
7 0
3 years ago
1. h(2) + g(2) *<br> h(t) = 3-5<br> g(t) = 2t - 5
kap26 [50]

Answer:

h(2)+g(2) = -3

Step-by-step explanation:

h(2) +g(2)\\ \\h(t) = 3-5, g(t) = 2t -5

        Replace the variable  (t)  with (

2)  in the expression.

h (2) = 3 - 5

        Replace the variable  (t)  with (

2)  in the expression.

g(2) = 2(2) -5

        Replace the function designators in h(2) +g(2) with the actual functions.

h(t) = 3 - 5 +2 (2) ← plug h(2) into 2(t)

         Remove parentheses.

3 - 5 + 2(2)

         Multiply 2 by 2

3 - 5 + 4 - 5

         Subtract  5  from  3

.

-2 + 4 - 5

          Add -2 and 4

2 - 5

          Subtract 5 from 2

-3

7 0
3 years ago
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