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Anton [14]
3 years ago
5

Find an equation for the line tangent to the circle x^2 +y^2=25 at the point (3, -4)

Mathematics
1 answer:
Lostsunrise [7]3 years ago
7 0
Hello : 
the center of this cercle is : O( 0, 0)
calculate the slope  m of the line : OA    .. A (3,-4)
m= (yA - yO) / (xA- xO) 
m = (-4-0)/(3-0)
m= -4/3
if : k the slope of the tangent : k×m = -1   (the tangent perpendiclar of : OA)
k× (-4/3) = -1
k = 3/4
an equation of this tangent is : y - (-4) = (3/4)(x-3)

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at a restaurant the ratio of kids meal, how manys sold to adult meals sold was 9:2. if there were 81 kids meals sold, how many a
DedPeter [7]
9/2 = 81/a....9 kids meals to 2 adult meals = 81 kids meals to a adult meals
cross multiply
9a = 2(81)
9a = 162
a = 162/9
a = 18...so there were 18 adult meals
ratio is : 81/18 
6 0
3 years ago
Describe the difference between a probability derived from the analytic view (logical analysis), the Relative Frequency view (sa
oee [108]

Answer:

See the explanation

Step-by-step explanation:

<h2>Analytic View:</h2>

If and event can occur in A number of way and fail in B number of ways, then probability of its occurrence is:

P(A)= \frac{A}{A+B}

or probability of its failing is:

P(B)=\frac{B}{A+B}

<h3>Example:</h3>

Rolling a number smaller than 3 in a dice.

A= 2 (1,2)

B = 4 (3,4,5,6)

P(A)= \frac{2}{2+4}=\frac{1}{3}

<h2>Relative Frequency View:</h2>

Definition of Probability in terms of past performances (data). It can be taken as how often things happens divided by all outcomes.

<h3>Example:</h3>

A batter has 50 safe hits at 200 bats, which makes his batting average \frac{50}{200}= 0.25 which is the probability.

<h2>Subjective View:</h2>

When you define a probability due to personel beleif in the likelihood of an outcome. It involve no formal calculations and varies from person to person, depending on their past experience.

<h3>Example:</h3>

A person beleives that probability that the batter will hit safely in the next bat is 0.75

4 0
3 years ago
What is the solution to the system of equations?
White raven [17]
Equation A find “m” and “b”:
“B” is the y-intercept when x = 0. They give this in the table as “-2” so b = -2
Find slope (m) = (-8)-(-2)/(-2)-0 = 3
Equation A is y = 3x - 2 (y = mx + b)
Equation B find “m” and “b”:
Find m = (-9)-(-5)/(-3)-(-1) = 2
To find be, plug in m, x, and y from ANY coordinates in table b into y = mx + b:
-9 = 2(-3) + b
-9 = -6 + b
b = -3
Equation b is y = 2x -3
Use substitution and substitute all of equation “b” for “y” in equation a:
2x - 3 = 3x - 2
Algebra: x = -1
Plug back into equation a:
y = 3(-1) -2
y = -5
x = -1
(-1, -5) final answer (B)
3 0
2 years ago
Translate the equation into a sentence
faltersainse [42]

Answer: 3/5t + 2 = 2 can be translated into a sentence.

That sentence can be: three fifths a number plus two is equal to two.

8 0
3 years ago
1.) Solve for c:<br> 4c + 5 &gt; -c-5
Svet_ta [14]

Answer:

Step-by-step explanation:

5 0
3 years ago
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