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4 years ago

write an equation for the line that is perpendicular to the given line and passes through the given point y-3=8/3(x+2);(-2,3)

Mathematics

1 answer:

Stolb23 [73]4 years ago

4 0

Answer:

$y-3=-\frac{3}{8} (x+2)$

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation. We will chose point-slope since we have a point and slope.

Point slope: $y-y_1=m(x-x_1)$

$m\neq \frac{8}{3}$ in our new equation because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is $m=-\frac{3}{8}$ .

We will substitute $m=-\frac{3}{8}$ and $x_1=-2\\y_1=3$ .

$y-3=-\frac{3}{8} (x-(-2))$

$y-3=-\frac{3}{8} (x+2)$

This is the equation of the line perpendicular to the equation given that crosses through (-2,3).

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Solve for x: -3(x+7)=5 . Explain how you solved for x and how you know your answer is correct

pickupchik [31]

Answer:

Step-by-step explanation:

-3(x+7)=5

1. Multiply 3 and x+7 , you will get -3x-21=5

2. Add 21 on both sides, you will be left with -3x=26

3. Divide both sides with -3, and x will equal to -26/3

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3 years ago

PLEASE HELP MEEEEEE

weqwewe [10]

Answer:

f=3

Step-by-step explanation:

The intervals means that angle f is between the quadrant 1.

Using that, we can use this identity

$\sin(x) = \cos(y)$

where x+y=90

$22f - 1 + 7f + 4 = 90$

$29f + 3 = 90$

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4 0

3 years ago

Write an equation of a line that is parel to 3/4x + 1 and passes through the point (4, -2).

Alenkinab [10]

Parallel lines have the same slope.

We have the line y = 3/4x + 1.

Then the equation of a parallel line is y = 3/4x + b.

The line passes through the point (4, -2). Put the coordinates of the point to the equation of a line:

-2 = 3/4(4) + b

-2 = 3 + b subtract 3 from both sides

-5 = b

<h3>Answer: y = 3/4x - 5</h3>

7 0

4 years ago

HELP ANSWER BOTH PLEASE (╥﹏╥)

pogonyaev

Answer:

a.) 61 square feet

b.) $152.50

Step-by-step explanation:

first you find the area for the rectangle

LxW=A

10x4=40

then you find the area for the triangle

(bxh)1/2=a

(6x7)1/2=21

-we get 7 from adding the height that we know (3ft) and using logic, a rectangle has equal parallel lines so the dotted line has to equal 4ft. so 3ft+4ft=7ft

then you add both areas together

40 square feet+21 square feet= 61 square feet

Now for B.)

as we know, the area of the room floor is 61sq feet. so by multiplying 2.5 and 61 you get the cost as $152.50

8 0

4 years ago

Which is the expected value of the random variable with given probability distribution ?

Gnom [1K]

Answer:

Step-by-step explanation:

Let X be the RV we are talking about.

Expected value has different aliases, such as weighted average, mean, expectation, first moment and so on.

Okay, how do we calculate the average first, just sum all the values and divide by number of values. It comes from the basic assumption, which is choosing one of them is equally likely. What I mean by that is quite simple, above process what I talked about is just sum of the numbers times their probabilities. e.g. (a+b+c+d)/4 = a/4 + b/4 + c/4 + d/4. In the example, we assumed that probability of choosing any a, b, c and d is equally likely.

Then, why I use the term weighted average is the generalized situation of average, which is some of the numbers are repetitive. For instance, X can take the values a, b, c and d; however, X can take the value a 3 times more than d, X can take the value b 2 times more than d and c and d occurs with the same frequency at X, Therefore, if we take a sample, it is likely to be a, b, a, c, d, a, b or the permutation of this sample. Therefore the weighted average is 3 * a / 7 + 2 * b / 7 + c / 7 + d /7 or using normal average theorem (a + a + a + b + b + c +d) / 7. First, both of them are equal. Find the distribution and multiply the values with the probabilities of the distribution and sum them up or just add them and divide by number of sample. Second, if you check that, a has more weight, which means a can determine the direction of the average more. That is the logic behind the expected value.

Now, if X is a discrete RV (like in the above example), we know what we are going to do. What if X is a continuous RV ? X could take infinite values therefore if you divide a number with an infinite value, the probability of an individual value X could take is going to be 0. Therefore, we cannot calculate the expected value of chosen values individually; however, we can calculate the expected value of an interval by approximating with Riemann Sum or with a better choice, using integrals. Because, technically using Riemann Sum and quantizing the values and approximating the area of the curve is the same as we did above.

In conclusion, basically if X is a discrete RV and the values X could take is countably infinite,

If X is a discrete RV and the values X could take is finite,

if X is a continuous RV,

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3 years ago