For the line that passes through Y(3,0), parallel to DJ with D(-3,1) and J(3,3), complete the following: Find the slope. Write an equation in point-slope form. Graph the line.Slope:Point-slope form:

Hey :)

[tex]\star\sim\star\sim\star\sim\star\sim\star\sim[/tex]

Apply the little slope equation. By doing that successfully, we should get our correct slope.

[tex]\large\boldsymbol{\frac{y2-y1}{x2-x1}}[/tex]

[tex]\large\boldsymbol{\frac{1-3}{-3-(-2)}}[/tex]

[tex]\large\boldsymbol{\frac{-2}{-3+2}}[/tex]

[tex]\large\boldsymbol{\frac{-2}{-1}}[/tex]

[tex]\large\boldsymbol{-2}}[/tex]

So, the calculations showed that the slope is -2. I hope i could provide a good explanation and a correct answer to you. Thank you for taking the time to read my answer.

here for further service,

[tex]\star\sim\star\sim\star\sim\star\sim\star\sim[/tex]

Given a function described by the table

We will find the value of (y) when x = 5

As shown in the table

When x = 5, y = 9

so, the answer will be y = 9

The given proposition is

As you can observe, it was added angle YJN to the equation on both sides. The property that allows us to do that it's call addition property of equalities.

345ft²

1) Since we have the following data then we can write it down:

width: 15 ft

length: 2w-7

2) And we can write out the following equation regarding that the area of a rectangle is given by:

We can plug into that the given data:

Notice we have used the FOIL acronym. And the PEMDAS order of operations prioritizing the inner parentheses.

3) So we can state that the area of her living room is 345ft²

Given:

The dataset and table with class.

Required:

Determine the frequency of each class.

Explanation:

Answer:

Answered the question.

Answer

t = 0.59 seconds or t = 0.85 seconds

Step-by-step explanation:

Therefore, t = 0.59 seconds or t = 0.85 seconds

Okay, here we have this:

Considering the provided information we are going to calculate what is the probability that the two candies selected are taffy. So, for this, first we are going to calculate the probability that the first is taffy, and then the probability that the second is taffy. Finally we will multiply these two probabilities to find the total probability.

Remember that the simple probability of an event is equal to favorable events, over possible events.

First is taffy:

At the beginning there are 14 sweets, and 3 are taffy, so there are 3 favorable events and 14 possible, then:

First is taffy=3/14

Second is taffy:

Now, in the bag there are 13 sweets left, and of those 2 are taffy, so now there are 2 favorable events out of 13 possible:

Second is taffy=2/13

The first and second are taffy:

First is taffy*Second is taffy=3/14*2/13

First is taffy*Second is taffy=3/91

First is taffy*Second is taffy=0.033

First is taffy*Second is taffy=3.3%

Finally we obtain that the probability that the two candies selected are taffy is aproximately 0.033 or 3.3%.

Statement A is true.

In the next example, we can see a function that is not one-to-one with the help of the horizontal line test:

Statement B is true.

In the next example, we can see a relationship that is not a function because it doesn't pass the vertical line test

Statement C is false.

A sequence is a function whose domain is the set of natural numbers

Given the function:

f(x) = 3x - 2

Let's find the inverse of the function f⁻¹(x).

To find the inverse of the function, apply the following steps:

• Step 1.

Rewrite y for f(x)

• Step 2.

Interchange the x and y variables:

• Step 3.

Solve for y.

Add 2 to both sides:

• Step 4.

Divide all terms by 3:

From the given problem, there are 3 computer labs and each lab has "s" computer stations.

So the total number of computers is :

Mr. Baxter is ordering a new keyboard and a mouse for each computer, since the cost of a keyboard is $13.50 and the cost of a mouse is $6.50.

Each computer has 1 keyboard and 1 mouse, so the total cost needed for 1 computer is :

Since you now have the cost for 1 computer, multiply this to the total number of computers which is 3s to get the total cost needed by Mr. Brax :

Using distributive property :

Distribute s inside the parenthesis :

One answer is 1st Option 3(13.50s + 6.50s)

Simplifying the expression further :

Another answer is 4th Option 3(20.00s)

You have the following expression:

consider a1 = 6.

In order to determine the value of a2, consider that if an = a2, then an-1 = a1. Replace these values into the previous sequence formula:

Hence, a2 is equal to 75

SOLUTION

(a) Now from the question, we want to find during what years the number of claims decrease. Let us make the graph of the function to help us answer this

We have

From the graph above, we can see that the function decreased at between x = 0 to x = 5.381

Hence the number of claims decreased between 1990 to 1995, that is 1990, 1991, 1992, 1993, 1994 and 1995

Note that 1990 was taken as zero

(b) The relative extrema from the graph is at 5.381, which represents 1995.

Hence the interpretation is that it is at 1995 that the minimum number of claims is approximately 1363.

Note that 1363 is approximately the y-value 1363.278

Solution

For this case we can model the problem with a geometric series given by:

And we can find the value for n=23 and we got:

And rounded to the neares whole number we got 33124

and using the sum formula we got:

The midpoint m of z₁ = (9+7i) and Z₂ = (-7+7i) is 1 + 7i .

Given complex numbers:

[tex]z_{1}[/tex] = (9 + 7i) and [tex]z_{2}[/tex] = (-7 + 7i)

compare these numbers with a1+ib1 and a2+ib2, we get

a1 = 9, a2 = -7 , b1 = 7 and b2 = 7.

Mid point of complex numbers = a1 + a2 /2 + (b1 + b2 /2)i

= (9 + (-7)/2 + (7 + 7 /2)i

= 2/2 + 14/2 i

Mid point m = 1 + 7i

Therefore the midpoint m of z₁ = (9+7i) and Z₂ = (-7+7i) is 1 + 7i

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A direct variation between two variables "x" and "y" is given by the following formula:

y = kx

We can rewrite the given expression 8y-7x=0 to get an equation of the form y = kx like this:

8y - 7x = 0

8y - 7x + 7x = 0 + 7x

8y = 7x

8y/8 = 7x/8

y = 7/8x

The number that is being multiplied by x should be the constant of variation k, then in this case, the constant of variation equals 7/8

Given a point P = (x, y) a reflection P' alongside the y axis of that point follows the rule:

We need to multiply the x coordinates of the points by (-1)

The cordinates of the points in the problem are:

A = (2, 5)

B = (2, 4)

C = (-5, 1)

D = (-5, 0)

Then the endpoints of the reflection over the y axis are:

A' = (-2, 5)

B' = (-2, 4)

C' = (5, 1)

D' = (5, 0)

Which is the second option.

ANSWER

Radius = 3 yd

Diameter = 6 yd

EXPLANATION

We are given the circle in the figure.

The radius of a circle is defined as the distance between the centre of a circle and its circumference.

Therefore, from the circle given, the radius is 3 yards

The diameter of a circle is defined as the total distance (through the centre) from one end of a circle to another.

It is twice the radius. Therefore, the diameter of the given circle is:

D = 3 * 2

D = 6 yards

The diameter is 6 yards.

Given:

To find:

The value

Explanation:

We know that,

So, we write,

Final answer:

By similar triangle, we have:

Hence, the unknown measurement of the plan is 26.25 feet

Answer

The power on 2 is either -3.5 in decimal form or (-7/2) in fraction form.

Explanation

To do this, we have to first note that

So, we can then simplify the given expression

Hope this Helps!!!

Hello there. To solve this question, we'll have to remember some properties about geometric series.

Given that we want the sum of

First, we find the general term of this series:

Notice they are all powers of 3, namely

But this is an alternating series, hence the general term is given by:

Since we just want the sum of the first 9 terms of this geometric series, we apply the formula:

Where q is the ratio between two consecutive terms of the series.

We find q as follows:

Then we plug n = 9 in the formula, such that:

Simplify the fraction by a factor of 4

This is the sum of the nine first terms of this geometric series and it is the answer contained in the second option.

In this problem -3 will be the adyacent side, -4 will be the opposite side and wwe can calculate the hypotenuse so:

So the trigonometric function will be:

Answer:

you take 5/6 and multiply it by 4/1.

which gives you 20/6

then reduce it by dividing the top number by the bottom number

 which gives you 3 with a remainder of 2

you then place the remainder over the

This tells you he practicedfor 3 2/6

Step-by-step explanation:

The right answer is C

SOLUTION

Sum of angles in a triangle must be equal to 180°

So, since one of the angle measures 90° and the other is 42°, then

90 + 42 + y = 180°, where y is the third angle

So, 132 + y = 180

y = 180 - 132 = 48°.

Therefore, one unique triangle can be drawn because the third angle must measure 48º.

Option A is the correct answer.

The greatest common factor (GCF) is: 5r

You multiply 5r by d to get the first term and multiply 5r by -8 to get the second term, then the factors are:

We have to create a function that has at least one asymptote and one removable discontinuity (a "hole").

We then have to list the type of feature.

We can start with a function like y = 1/x. This function will have a vertical asymptote at x = 0 and a horizontal asymptote at y = 0.

We can translate it one unit up and one unit to the right and write the equation as:

Then, the asymptotes will be x = 1 and y = 1. We have at least one asymptote for this function.

We can now add a removable discontinuity. This type of discontinuity is one that is present in the original equation but, when factorizing numerator and denominator, it can be cancelled. This happens when both the numerator and denominator have a common root: the rational function can be simplified, but the root is still present in the original expression.

We than can add a removable discontinuity to the expression by multiplying both the numerator and denominator by a common factor, like (x-2). This will add a removable discontinuity at x = 2.

We can do it as:

This will have the same shape as y =x/(x-1) but with a hole at x = 2, as the function can not take a value that makes the denominator become 0, so it is not defined for x = 2.

Finally, we can find the x and y intercepts.

The y-intercepts happens when x = 0, so we can calculate it as:

The y-intercept is y = 0, with the function passing through the point (0,0).

As the x-intercept is the value of x when y = 0, we already know that the x-intercept is x = 0, as the function pass through (0,0).

Then, we can list the features as:

Asymptotes: Vertical asymptote at x = 1 and horizontal asymptote at y = 1.

Removable discontinuity: x = 2.

y-intercept: y = 0.

End behaviour: the function tends to y = 1 when x approaches infinity or minus infinity.

With that information, the function can be graphed.

The length of the original square must be equal to 3 inches.

To find the length of the original square, we have to first assume the unknown length is equal x and then use formula of area of a square to determine it's length.

Since the new length is stretched by 5in, the new length would be.

[tex]l = (x + 5)in[/tex]

The area of a square is given as

[tex]A = l^2[/tex]

But the area is equal 64 squared inches; let's use substitute the value of l into the equation above.

[tex]A = l^2\\l = x + 5\\A = 64\\64 = (x+5)^2\\64 = x^2 + 10x + 25\\x^2 + 10x - 39 = 0\\[/tex]

Solving the quadratic equation above;

[tex]x^2 + 10x - 39 = 0\\x = 3 or x = -13[/tex]

Taking the positive root only, x = 3.

The side length of the original square is equal to 3 inches.

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