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Temka [501]
3 years ago
9

e given line passes through the points (−4, −3) and (4, 1). What is the equation, in point-slope form, of the line that is perpe

ndicular to the given line and passes through the point (−4, 3)
Mathematics
2 answers:
Stells [14]3 years ago
4 0
First find the slope of the two points 
The slope equation is m=y2-y1/x2-x1
m = 1 - (-3)/ 4 - (-4) = 4/8 = 1/2 

The point slope form is y-y1 = m(x-x1)
Choose any of the points, I'll choose (4,1) and plug it into the equation
y - 1 = 1/2 ( x-4 )

Now when you have a perpendicular line, its important to know the rules.
The first rule is that you have to find the reciprocal of the slope, 1/2 = 2/1 
So the slope is 2 
Now plug in the (-4,3) with the new slope found for the perpendicular line

y - 3 = 2(x+4)
Keith_Richards [23]3 years ago
3 0
Y - 3 = 2(x+4)
hope this helps!
have a good day:)
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A certain casino game has a wheel with 5 different animals on it. It costs $10 to bet on an animal, and
Mrrafil [7]

Answer:

Expected value = - $ 4

Step-by-step explanation:

Number of animals on the wheel = 5

Number of animals the player can bet on = 1

The player will win if the ticker stops on the chosen animal. Since, only one animal can be chosen out of 5, the probability of winning will be = \frac{1}{5}

If the ticker stops on any of the rest 4 animals, the player will lose. So the probability of losing will be =  \frac{4}{5}

If the ticker stops on chosen animal, the winning amount is $ 20, if the ticker lands on any of other animal, its a loss of $ 10.

We need to calculate the expected value of this game. Expected value is calculated by multiplying the probability of each outcome with the outcome and then adding these products.

So, for this case, the expected value will be:

(Probability of winning x Outcome on winning) + (Probability of losing x Outcome of losing)

Using the values, we get:

E=\frac{1}{5}(20)+\frac{4}{5}(-10)=-4

Minus sign has been used with 10, because the money is being lost.

Thus, the expected value of the game is - $ 4. This means, on average a player who will play the game is expected to lose about $ 4 per game

5 0
3 years ago
Whats the answer to: 3x + 5y = 2 9x + 11y = 14
valkas [14]

\begin{gathered}\{\begin{array}{ccc}3x+5y=2&|\cdot(-3)\\9x+11y=14\end{array}\\\underline{+\{\begin{array}{ccc}-9x-15y=-6\\9x+11y=14\end{array}}\ \ |\text{add both sides of equations}\\.\ \ \ \ \ -4y=8\ \ \ |:(=4)\\.\ \ \ \ \ y=-2\\\\\text{substitute the value of y to the first equation}\\\\3x+5\cdot(-2)=2\\3x-10=2\ \ \ |+10\\3x=12\ \ \ |:3\\x=4\\\\Answer:\ x=4;\ y=-2\to(4;\ -2)\end{gathered}

{

3x+5y=2

9x+11y=14

∣⋅(−3)

−9x−15y=−6

9x+11y=14

add both sides of equations

. −4y=8 ∣:(=4)

. y=−2

substitute the value of y to the first equation

3x+5⋅(−2)=2

3x−10=2 ∣+10

3x=12 ∣:3

x=4

Answer: x=4; y=−2→(4; −2)

5 0
3 years ago
The equation 3x + 2 = 29 is modeled below.
DanielleElmas [232]

Answer:

Subtract 2 from both sides.

Step-by-step explanation:

Remember to do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

> Also, note the equal sign, what you do to one side, you do to the other side of the equation.

First step is to subtract 2 from both sides of the equation:

3x + 2 (-2) = 29 (-2)

3x = 29 - 2

3x = 27

The second step is to divide 3 from both sides of the equation:

(3x)/3 = (27)/3

x = 27/3

x = 9

~

7 0
2 years ago
Read 2 more answers
.Divide the sum of 13/5 and -12/7 by the product of -31/7 and -(1/2)
andre [41]

Answer:

hello u so cool i admire you <3

6 0
2 years ago
Read 2 more answers
Solve for b. ab+c=d<br> B=a+c/d<br> B=a/(c-d)<br> B=(d-c)/a
vekshin1

Answer:

b = (d-c)/a

Step-by-step explanation:

ab+c=d

Subtract c from each side

ab+c-c=d-c

ab = d-c

Divide by a

ab/a = (d-c)/a

b = (d-c)/a

3 0
3 years ago
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