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Margarita [4]
3 years ago
5

Equation for (5,-4) (-3,2)

Mathematics
1 answer:
tatuchka [14]3 years ago
4 0

Answer:

y = -\frac{3}{4}x-\frac{1}{4}

Step-by-step explanation:

The equation for a linear function found from two given points is:  y = mx + b, where m = slope and b = y-intercept.  You can find slope from slope formula:

\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}

Given points (5, -4) and (-3, 2):

\frac{(2-(-4))}{(-3-5)}=\frac{6}{-8}=-\frac{3}{4}

Using the value m = -\frac{3}{4} and the point (5, -4) for x and y:

y = mx + b

-4 = 5(-3/4) + b

-4 = -15/4 + b

-4 = -3.75 + b

-1/4 = b

y = -\frac{3}{4}x-\frac{1}{4}

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URGENT Enter the values for the highlighted variables that show how to subtract the rational expressions correctly: StartFractio
Marrrta [24]

The value of the highlighted variables ave been determined a =6, b= 2 ,c= 6 , d = 2  , e = 6 , f = 6, g =1

<h3>What is an Expression ?</h3>

An expression are mathematical statement consisting of variables , constants and mathematical operators .

The given expression is

\rm \dfrac{2}{x^2-36} - \dfrac{1}{x^2 +6x} = \dfrac{2}{(x+6)(x-6)}-\dfrac{1}{x(x+a)}\\\\= \dfrac{bx}{x(x+6)(x-6)}-\dfrac{x-c}{(x+6)(x+6)x}\\\\= \dfrac{dx-x+e}{x(x+6)(x-6)}\\\\= \dfrac{x+f}{x(x+6)(x-6)}\\\\= \dfrac{g}{x(x-6)}

a = 6

b= 2

c= 6

d = 2

e = 6

f = 6

g =1

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To know more about Expression

brainly.com/question/14083225

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3 0
2 years ago
This set of points is on the graph of a function.
Liula [17]

If (a, b) is on the graph of a function f(x), then (b, a) is on the graph of the inverse.

We have points on the graph of a function: {(-3, 9), (-1, 1), (0, 0), (2, 4)}.

The points on the graph of the inverse: {(9, -3), (1, -1), (0, 0), (4, 2)}.

<h3>Answer: (4, 2), (0, 0), (1, -1).</h3>
7 0
3 years ago
Dion is playing the game tag with his friend bill they have played the games every day during play time at school for the last 4
Margarita [4]
You would subtract how many times Dion tagged bill with how many times bill tagged Dion, so 12 - 7 = 5
7 0
3 years ago
Read 2 more answers
Statistics show that about 42% of Americans voted in the previous national election. If three Americans are randomly selected, w
MrRa [10]

Answer:

19.51% probability that none of them voted in the last election

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they voted in the previous national election, or they did not. The probability of an American voting in the previous election is independent of other Americans. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

42% of Americans voted in the previous national election.

This means that p = 0.42

Three Americans are randomly selected

This means that n = 3

What is the probability that none of them voted in the last election

This is P(X = 0).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{3,0}.(0.42)^{0}.(0.58)^{3} = 0.1951

19.51% probability that none of them voted in the last election

6 0
2 years ago
Hi everyone I was wondering if someone could please help me out with this problem and explain it to me
PSYCHO15rus [73]
Join the centre O to the chord (let it be MN) & let OH be the perpendicular to the chord

OH bisects MN into 2 equal parts (each one is x/2)
OMH is a right triangle with one side =8, the second leg =x/2 & the hypotenuse = 12 (Radius)
Apply Pythagoras:

12² = 8² +(x/2)² ==>144=64 + x²/4 ==> x²=4(144-64) =320

x²=320==> x=√320 =17.88 ≈17.9



3 0
3 years ago
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