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Mazyrski [523]
3 years ago
15

Find an equation of the circle that has center .(-4, -3) and passes through (5,5).

Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0

Answer:

<em>(x+4)^2 + (y+3)^2 = 145</em>

Explanation:

Using the circle equation (x-h)^2 + (y-k)^2 = r^2

We know that the center of the circle is (h,k). But to find the working radius that passes through the desired point, substitute that point into the x, and y, and add them up.

(x+4)^2 + (y+3)^2 = (5,5) → (5+4)^2 + (5+3)^2 = 9^2 + 8^2 = 81 + 64 = <u>145</u>

*Magic*

Now try and substitute the other point into the equation

(5,5) → (x+4)^2 + (y+3)^2 = 145 → (5+4)^2 + (5+3)^2 = 145 → 9^2 + 8^2 = 145 → 81 + 64 = 145 → <u>145 = 145</u>

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Answer:

Declaration of Independence was designed for multiple audiences: the King, the colonists, and the world. It was also designed to multitask. Its goals were to rally the troops, win foreign allies, and to announce the creation of a new country. The introductory sentence states the Declaration’s main purpose, to explain the colonists’ right to revolution. In other words, “to declare the causes which impel them to the separation.” Congress had to prove the legitimacy of its cause. It had just defied the most powerful nation on Earth. It needed to motivate foreign allies to join the fight.

Step-by-step explanation:

6 0
3 years ago
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Write 2603094 using exponents?
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2*10^6 + 6*10^5 + 3*10^3 +9*10^1 +4*10^0

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3 years ago
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The equation below represents the function p.
svet-max [94.6K]
Answers:

1)Tthe first answer is that as x increases the value of  p(x) approaches a number that is greater than  q (x).


2) the y-intercept of the function p is greater than the y-intercept of the function q.


Explanation:


1) Value of the functions as x increases.


Function p:

p(x)=  ( \frac{2}{5} )^{x} -3

As x increases, the value of the function is the limit when x → ∞.

Since [2/5] is less than 1, the limit of [2/5]ˣ when x → ∞ is 0, and the limit of p(x) is 0 - 3 =  -3.

While in the graph you see that the function q has a horizontal asymptote that shows that the limit of q (x) when x → ∞ is - 4.

Then, the first answer is that as x increases the value of  p(x) approaches a number that is greater than  q (x).


2) y - intercepts.

i) To determine the y-intercept of the function p(x), just replace x = 0 in the equation:
p(x) = [ 2 / 5]⁰ - 3 = 1 - 3 = - 2

ii) The y-intercept of q(x) is read in the graph. It is - 3.

Then the answer is that the y-intercept of the function p is greater than the y-intercept of the function q.

4 0
3 years ago
Perfect squares. Solve each equation. Check the solutions. g^2+2/3g+1/9=0
Yakvenalex [24]
G^2+2=0,
g^2=-2
g= sqrt-2, not possible.
3g+1=0
3g=-1
g=-1/3
9 cannot be equal to zero for the last one.
6 0
3 years ago
6 × 3 − (4 × 3) + 16 ÷ 4 = 11
rjkz [21]

Answer:

2

Step-by-step explanation:

6x3 = 18

4x3 = 12

18 - 12 = 6

16 / 4 = 4

6 - 4 = 2

4 0
3 years ago
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