Lines s and t are perpendicular. If the slope of line s is -5, what is the slope of line ?

A: -1/5
B: 1/5
C: -5
D: 5

The question is about translating the graph of the function y = 3/x. The graph of y = 3/(x - 1) + 3 results from shifting the parent function to the right by 1 unit and upwards by 3 units on the coordinate grid.

The question pertains to the translation of a rational function on the coordinate grid and is related to graph transformations. The function y = 3/x is known as the parent function, and y = 3/(x - 1) + 3 is the transformed function. To illustrate the translation, we can understand the changes in terms. Here x - 1 indicates a horizontal shift to the right by 1 unit, and +3 signifies a vertical shift upwards by 3 units. The new graph represents these translations on the coordinate system, which is a two-dimensional representation with x and y-axes as described in the reference information provided.

Answer:

Step-by-step explanation:

Givens

I foot of sill = 1.75

35 feet of sill = x

Paid with 100 dollars.

Solution

First part

Solve the proportion

1/35 = 1.75/ x                 Cross multiply

1*x = 35 * 1.75

x = 61.25

=========

Second part

Get the change.

Change = 100 - 61.25

Change  = 38.75

============

The change =

3 tens                30.00

1 five                   5.00

3 ones                3.00

3 quarters           .75

Total                 38.75

Answer:

That would be the point(-2, -1)

Step-by-step explanation:

The graph rises between  (-3, -4) and (-2, -1)  then falls as it passes through the last 2 points ( y = -1 goes to y= -5 and then to y = -8 as x values move to the right).

Answer: (–2, 1)

Step-by-step explanation:

just did this

Answer:

2 cm base, 3 cm height

Step-by-step explanation:

Let

x -----> the height of one of the identical triangles pieces of the plane

y ----> the base of one of the identical triangles pieces of the plane

we know that

x=3 cm

2y+2=6

solve for y

2y=6-2

2y=4

y=2 cm

therefore

The dimensions of one of the identical triangles pieces of the plane are 2 cm base and 3 cm height

Answer:

The correct option is 1. The dimensions of one of the identical triangular pieces of the plane are 2 cm base and 3 cm height.

Step-by-step explanation:

From the given figure it is noticed that the length of parallel sides of the trapezoid are 6 cm and 2 cm.

The height of triangular pieces is same as the height of trapezoid. So the height of triangular pieces is 3 cm.

Let the measure of base of the triangular pieces be x.

[tex]x+2+x=6[/tex]

Combine like terms.

[tex]2x+2=6[/tex]

Subtract 2 form both the sides.

[tex]2x+2-2=6-2[/tex]

[tex]2x=4[/tex]

Divide both sides by 2.

[tex]x=\frac{4}{2}[/tex]

[tex]x=2[/tex]

The base of the triangles is 2 cm.

The dimensions of one of the identical triangular pieces of the plane are 2 cm base and 3 cm height. Therefore the correct option is 1.

Answer:

The inverse f-1(x)  = ( x -  2) / 2.

Step-by-step explanation:

Let 2x + 1 = y

Now find x in terms of y:

2x = y - 1

x = (y - 1) / 2

Replace the x by the inverse f-1(x) and the y by x, so we have:

f-1(x)  = ( x - 2) / 2.

[tex]f(x)=2x+1\\\\y=2x+1\\2x=y-1\\x=\dfrac{y-1}{2}\\\\f^{-1}(x)=\dfrac{x-1}{2}[/tex]

Answer:

I think it's B.

Step-by-step explanation:

They are asking for integers greater than -3 and less than 5.

For this case we have to:

[tex]x <-3[/tex]: Represents the solution of all strict minor numbers to -3.

[tex]x> 5[/tex]: Represents the solution of all strict major numbers to 5.

The global solution is given by the intersection of both sets.

If we represent the solution in a straight line, it gives us empty. do not intersect.

Answeer:

Option C

Answer:

2a  -b -2

Step-by-step explanation:

3a -2 - b- a

Combine like terms

3a -a   -b   -2

2a  -b -2

Answer:

It didn't saying anything about rounding but the the dimensions in there exact form are:

[tex]L=\frac{-5+\sqrt{249}}{2} \text{ cm}[/tex]

and

[tex]W=\frac{5 + \sqrt{249}}{4} \text{ cm }[/tex].

Now if they said to round to the nearest hundredths the dimensions in this rounded form would be:

L=5.39 cm and W=5.19 cm

(Check your question again and see if you meant what you have)

Step-by-step explanation:

L is 5 less than twice W

L = 2W-5

Area of rectangle=L*W

Area is 28 means L*W=28.

I'm going to insert L=2W-5 into L*W=28 giving me

(2W-5)*W=28

Distribute

2W^2-5W=28

Subtract 28 on both sides

2W^2-5W-28=0

a=2

b=-5

c=-28

We are going to use the quadratic formula.

Plug in...

[tex]W=\frac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\W=\frac{5 \pm \sqrt{(-5)^2-4(2)(-28)}}{2(2)}\\\\W=\frac{5 \pm \sqrt{25+224}}{4}\\\\W=\frac{5 \pm \sqrt{249}}{4}[/tex]

W needs to be positive so [tex]W=\frac{5 + \sqrt{249}}{4}[/tex]

And [tex]L=2W-5=2(\frac{5 + \sqrt{249}}{4})-5[/tex]

[tex]L=\frac{5+\sqrt{249}}{2}-5[/tex]

[tex]L=\frac{5+\sqrt{249}}{2}-\frac{10}{2}[/tex]

[tex]L=\frac{-5+\sqrt{249}}{2}[/tex]

Does L*W=28?

Let's check.

[tex]L \cdot W=\frac{-5+\sqrt{249}}{2} \cdot \frac{5 + \sqrt{249}}{4}[/tex]

[tex]L \cdot W=\frac{249-25}{8}[/tex]

In the last step, I was able to do a quick multiplication because I was multiplying conjugates.  (a+b)(a-b)=a^2-b^2.

[tex]L \cdot W=\frac{ 224}{8}[/tex]

[tex]L \cdot W=28[/tex]

Answer:

I don't remember well, and I'm not sure if this is correct, but, I think the answer is  This is beacuse ∠FCD are facing with ∠CDG meaning it would be a same side interior angle.

Answer:

Step-by-step explanation:

If you extend BF until it meets AG and consider the the triangle CD and the meeting point, then angle FCD is an interior angle.

If on the other hand it might just be the supplement of DCB which would make it neither.  I can see why you want  us to take a shot at it. That is a seat of my pants answer. If someone has a better reason, take that one.

Answer:

Event A has 13/52 outcomes.

Step-by-step explanation:

Total no of cards in a deck = 52

No of clubs in a deck = 13

Event A has outcomes = No of clubs in a deck/Total no of cards in a deck

= 13/52

So, Event A has 13/52 outcomes.

For this case we have a fucnion of the form [tex]y = f (x)[/tex]

Where:

[tex]f (x) = 4x-1[/tex]

By definition, the rank of a function is given by:

The set of the real values that the variable y or f (x) takes.

So:

[tex]f (-1) = 4 (-1) -1 = -4-1 = -5\\f (0) = 4 (0) -1 = 0-1 = -1\\f (1) = 4 (1) -1 = 4-1 = 3\\f (2) = 4 (2) -1 = 8-1 = 7\\f (3) = 4 (3) -1 = 12-1 = 11[/tex]

ANswer:

The range is: -5, -1,3,7,11

Answer:

{-5,-1,3,7,11}

Step-by-step explanation:

The range is the output of the function

We have the inputs

f(x) = 4x - 1

f(-1) = 4(-1)-1 = -4-1 = -5

f(0) = 4(0)-1 = 0-1 = -1

f(1) = 4(1)-1 = 4-1 = 3

f(2) = 4(2)-1 = 8-1 = 7

f(3) = 4(3)-1 = 12-1 = 11

The outputs for the given inputs are

{-5,-1,3,7,11}

Answer: option c

Step-by-step explanation:

Find the x-intercept and y-intercept of each line.

To find the x-intercept, substitute [tex]y=0[/tex] into the equation and solve for "x".

To find the y-intercept, substitute [tex]x=0[/tex] into the equation and solve for "y".

- For the first equation:

x-intercept

[tex]4x + 3y = 29\\\\4x + 3(0)= 29\\\\4x=29\\\\x=\frac{29}{4}\\\\x=7.25[/tex]

y-intercept

[tex]4x + 3y = 29\\\\4(0) + 3y = 29\\\\3y=29\\\\y=\frac{29}{3}\\\\y=9.66[/tex]

Graph a line that passes through the points (7.25, 0) and (0, 9.66)

- For the second equation:

x-intercept

[tex]2x - 3y = 1 \\\\2x - 3(0) = 1 \\\\2x=1\\\\x=0.5[/tex]

y-intercept

[tex]2x - 3y = 1\\\\2(0) - 3y = 1\\\\-3y=1\\\\y=-0.33[/tex]

Graph a line that passes through the points (0.5, 0) and (0, -0.33)

Observe the graph attached. You can see that point of intersection of the lines is (5,3); then this is the solution of the system. Therefore:

[tex]x=5\\y=3[/tex]

ANSWER

c)x = 5, y = 3

EXPLANATION

The given system has equations:

[tex]4x + 3y = 29[/tex]

and

[tex]2x - 3y = 1[/tex]

We graph the above equations using a graphing software to obtain the graph shown in the attachment.

The solution to the given system is the point of intersection of the two straight lines.

From the graph, the two straight lines intersected at (5,3).

This implies that the solution to the system is:

[tex]x = 5 \: and \: y = 3[/tex]

The correct answer is option is C

Answer:

It will double every hour.

Step-by-step explanation:

f(x) = 4(2)^x

This is an exponential function so the number of people will increase at a faster rate each hour. It will accelerate.

Lets try entering a few values:

After 1 hour,  people =  4*2 = 8

After 2 hours , people =4*2^2 =  16

After 3 hours, people = 4(2)^3 = 32

After 4 hours, people = 4(2)^4 =  64.

It is doubling every hour.

.

Step-by-step explanation:

Write a proportion:

3 buckets / 1 gallon = 1 bucket / x gallons

Cross multiply and solve:

3x = 1

x = 1/3

You need 1/3 of a gallon of water.

let's firstly find the equation of the parabola, bearing in mind that x-intercepts or solutions/zeros/roots means y = 0.

[tex]\bf ~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=1\\ k=-9 \end{cases}\implies y=a(x-1)^2-9 \\\\\\ \textit{we also know that } \begin{cases} x=0\\ y=-6 \end{cases}\implies -6=a(0-1)^2-9\implies 3=a(-1)^2[/tex]

[tex]\bf 3=a\qquad \qquad \textit{therefore}\qquad \qquad \boxed{y=3(x-1)^2-9} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{y}{0}=3(x-1)^2-9\implies 9=3(x-1)^2\implies \cfrac{9}{3}=(x-1)^2\implies 3=(x-1)^2 \\\\\\ \pm\sqrt{3}=x-1\implies \pm\sqrt{3}+1=x\implies x= \begin{cases} \sqrt{3}+1\\ -\sqrt{3}+1 \end{cases}\implies x\approx \begin{cases} 2.73\\ -0.73 \end{cases}[/tex]

Answer:

The correct option is B

Step-by-step explanation:

Todd rolls two number cubes.

Let A={the sum of the number cubes is even}

A={2,4,6,8,10,12}

Let B={the sum of the number cubes is divisible by 2}

B = {2,4,6,8,10,12}

Now we have to find A∩B

Intersection refers to the values which are common in both the sets. The sums in both sets are even and divisible by 2.

So,

A={2,4,6,8,10,12} B = {2,4,6,8,10,12}

A∩B = {2,4,6,8,10,12}

Thus the outcomes A∩B = {2,4,6,8,10,12}

The correct option is B....

Answer:

B

Step-by-step explanation:

Answer:

In 6 different ways can the three students form a set of class officers.

Step-by-step explanation:

There are 3 people Leila, Larry, and Cindy and 3 positions president, vice-president, and secretary.

We need to find In how many different ways can the three students form a set of class officers.

This problem can be solved using Permutation.

nPr = n!/(n-r)! is the formula.

Here n = 3 and r =3

So, 3P3 = 3!/(3-3)!

3P3 = 3!/1

3P3 = 3*2*1/1

3P3 = 6

So, in 6 different ways can the three students form a set of class officers.

Answer:

[tex] H.~~ 138.16~ft^3 [/tex]

Step-by-step explanation:

Start with the volume formula for a cylinder.

[tex] V = \pi r^2h [/tex]

Now use the given information.

r = 2 ft

h = 11 ft

Use 3.14 for pi.

[tex] V = 3.14 \times (2~ft)^2 \times 11 ft [/tex]

[tex] V = 3.14 \times 4~ft^2 \times 11 ft [/tex]

[tex] V = 3.14 \times 44~ft^3 [/tex]

[tex] V = 138.16~ft^3 [/tex]

Answer:

24

Step-by-step explanation:

I think you would do 6 sides on the dice times 4 dice.

Answer:

There is 1,296 possible outcomes

Step-by-step explanation:

You are rolling a die which has 6 faces 4 times.

Each of those rolls has 6 outcomes. That other outcome has 6 other outcomes, which goes on for 4 rolls.

SO you multiply 6*6*6*6=1296 possible outcomes

PLZ VOTE ME FOR BRAINLEST

Answer: [tex]\bold{focus: \bigg(2, -7 \dfrac{1}{8}\bigg), \quad directrix: y = -6 \dfrac{7}{8}}[/tex]

Step-by-step explanation:

First, rearrange the equation into vertex form: y = a(x - h)² + k   where

NOTE: p is the distance from the vertex to the focus

      y = -2x² + 8x - 15

y + 15 = -2x² + 8x            → added 15 to both sides

y + 15 = -2(x² - 4x)           → factored out -2 from the right side

y + 15 + (-2)(4) = -2(x² - 4x + 4)    → completed the square

y + 7 = -2(x - 2)²                → simplified

     y = -2(x - 2)² - 7           → subtracted 7 from both sides

Now it is in vertex form where:

Focus = (2, -7 + p)  →  Focus = (2, -7 + (-1/8))   →  [tex]Focus = \bigg(2, -7 \dfrac{1}{8}\bigg)[/tex]

Directrix: y = -7 - p   →  Directrix: y = -7 - (-1/8)   →  [tex]Directrix: y = -6 \dfrac{7}{8}[/tex]

Rewrite 1/2 to have a common denominator with 2/6

1/2 x 3 = 3/6

Now you have 1 and 3/6 - 2/6  = 1 and 1/6

Now rewrite 2/3 to have a common denominator with 1/6: 2/3 x 2 = 4/6

Subtract 1/6 from 4/6:

4/6 - 1/6 = 3/6 = 1/2

You will need to add 1/2

To get from the difference between 1 and 1/2 and 2/6 to 1 and 2/3, one must add 1/2 after ensuring both differences have a common denominator.

To find out what should be added to the difference between 1 and 1/2 and 2/6 to get 1 and 2/3, we need to perform a few steps involving fractions. First, let's convert 1 and 1/2 into an improper fraction by multiplying 1 (the whole number) by 2 (the denominator of the fractional part) and adding 1 (the numerator of the fractional part), which gives us 3/2. Now, to find the difference between 3/2 and 2/6, we must have a common denominator, which is 6 in this case. Multiplying the numerator and denominator of 3/2 by 3 gives us 9/6.

Now we subtract 2/6 from 9/6 to get the difference, which is 7/6 or 1 and 1/6. To find what needs to be added to this difference to get 1 and 2/3, we must also express 1 and 2/3 as an improper fraction. Multiplying 1 (the whole number) by 3 (the denominator) and adding 2 (the numerator) gives us 5/3.

To compare 7/6 with 5/3, we need the same denominator, which is 6. So we multiply the numerator and denominator of 5/3 by 2 to get 10/6. Subtracting 7/6 from 10/6, we find the missing number to be 3/6, which simplifies to 1/2.

Answer:

1, 3, 5

Step-by-step explanation:

The sum of an arithmetic series is:

S_n = n (a_1 + a_n) / 2

100 = n (1 + 19) / 2

n = 10

The nth term of an arithmetic sequence is:

a_n = a_1 + d (n − 1)

19 = 1 + d (10 − 1)

d = 2

The common difference is 2.  So the first three terms are 1, 3, and 5.

Answer:

Therefore, the answer is 3

Step-by-step explanation:

The given expression is:

[tex]\frac{3k}{k-2} + \frac{6}{2-k} \\\\Taking\ LCM\\= \frac{3k(2-k)+6(k-2)}{(k-2)(2-k)} \\=\frac{6k-3k^2+6k-12}{(k-2)(2-k)}\\= \frac{-3k^2+12k-12}{(k-2)(2-k)}\\\\Applying\ formula\\=\frac{-3(k^2-4k+4)}{(k-2)(2-k)}\\=\frac{-3((k)^2-2*2*k+(2)^2)}{(k-2)(2-k)}\\=\frac{-3(k-2)^2}{(k-2)(2-k)}\\=\frac{-3(k-2)}{(2-k)}\\=\frac{3(2-k)}{2-k}\\=3[/tex]

Answer: 2k

Step-by-step explanation:

-k + 3k = (-1 + 3)k = 2k

Answer:

The statement is False

Step-by-step explanation:

we know that          

An inscribed circle is the largest circle contained within the triangle. The center of the circle inscribed in a triangle is the incenter of the triangle.

The incenter is the point where the angle bisectors of the triangle intersect.

The circumscribed circle is the circle that passes through all three vertices of the triangle. The center of the circumscribed circle is called the circumcenter of the triangle

The circumcenter is the point where the perpendicular bisectors of the sides intersect.

therefore

The circumcenter of a triangle is the center of the only circle

that can be circumscribed about it.

The statement is false

The circumcenter of a triangle is the center of the only circle that can be inscribed about it. True or false?

Answer: False

Answer:

84°

Step-by-step explanation:

smallest angle=x

3x=2nd angle

x+40=3rd angle

angles in a triangle add up to 180 degrees so

5x+40=180

5x=140

x=28

largest angle = 3x

so 3 x 28 = 84 degrees

The largest angle is 84 degrees

Answer:

Largest angle = 84°

Step-by-step explanation:

According to the given information, we are assuming the smallest angle of the triangle to be [tex]x[/tex] degrees, next angle to be [tex]3x[/tex] degrees and the last angle to be [tex]x+40[/tex] degrees.

We know that all three angles of a triangle add up to 180 degrees so:

[tex]x+3x+x+40=180[/tex]

[tex]5x=140[/tex]

[tex]x=28[/tex]

Smallest angle = 28°

Next angle = [tex]3(28)[/tex] = 84°

Last angle = [tex]28+40[/tex] = 68°

Therefore, the largest angle = 84°

Answer:

x = 130

Step-by-step explanation:

The sum of the exterior angles of a polygon is always 360

140 + x + 56+ 34 = 360

Combine like terms

230 +x = 360

Subtract 230 from each side

230+x-230 = 360-230

x =130

Answer:

A and X

Step-by-step explanation:

None

Answer:

H-L Theorem

Step-by-step explanation:

They tell you that they are right triangles, and you have your congruency marks. If they never had right angle indicators, this theorem would never work.

I hope this helps you out, and as always, I am joyous to assist anyone at any time.

Answer:

D 5

Step-by-step explanation:

PQ + QR + RS = PS

Substituting what we know

2x-6 + 1 + x-4 = 18

Combine like terms

3x-9 = 18

Add 9 to each side

3x-9+9 =18+9

3x= 27

Divide each side by 3

3x/3 =27/3

x=9

We want to find RS

RS = x-4

    = 9-4

   =5

Answer:

1/3

Step-by-step explanation:

The formula for computing the sum of an infinite geometric series is

[tex]S=\frac{a_1}{1-r}[/tex] where r is between -1 and 1 and [tex]r[/tex] is the common ratio, and [tex]a_1[/tex] is the first term of the series.

So let's plug in:

[tex]S=\frac{0.3}{1-0.1}[/tex]

[tex]S=\frac{0.3}{0.9}[/tex]

[tex]S=\frac{3}{9}[/tex] I multiplied bottom and top by 10.

[tex]S=\frac{1}{3}[/tex] I divided top and bottom by 3.

The sum is 1/3.

The sum of the infinite geometric series is 1 / 3.

When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied with that constant term to form a geometric progression.

Given that the first term a₁ = 0.3 and common ratio r = 0.1. The sum of the geometric series is calculated by using the formula below:-

S = a₁ / ( 1 - r )

S = 0.3 / ( 1 - 0.1 )

S = 0.3 / 0.9

S = 3 / 9

S = 1 / 3

Therefore, the sum of the infinite geometric series is 1 / 3.

To know more about geometric progression follow

https://brainly.com/question/12006112

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