The equation of a line that is perpindicular to y=10x but passes through (1, -3)

Answers

Answer 1

The equation of line is y = -x/10 + -29/10.

Given,

The equation of a line that is perpendicular to y = 10x

and, passes through the (1, -3)

To find the equation of line.

Now, According to the question:

Find the slope of the line that is perpendicular to y = 10x;

m = - 1/10

We know that, Slope of line is ;

y = mx + c

m = -1/10

x = 1

y = -3

Substitute and calculate

- 3 = -1/10 + b

b = -29/10

Now, y = mx + b

Substitute all the values in above slope equation:

y = -x/10 + -29/10

Hence, The equation of line is y = -x/10 + -29/10.

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Related Questions

1. Consider the graph f(x) = 34. Describe how to graph thetransformation f(x – 3) + 2.

Answers

If the graph shows a constant function, the value of f(x) will always be the same no matter which value does x take. It means: to graph the transformation of this function do an horizontal translation right 3 units (which would show the same graph, basically) and then do a vertical translation up 2 units

.Find the area of the sector with radius 4 and central angle, ∅= 45°

Answers

Remember that the formula for the area of a sector is:

[tex]A=\frac{\pi\cdot r^2\cdot\theta}{360}[/tex]

Where:

• r, is the radius

,

• Theta ,is the central angle (in degrees)

Using this formula and the data given,

[tex]\begin{gathered} A=\frac{\pi\cdot4^2\cdot45}{360} \\ \rightarrow A=2\pi \end{gathered}[/tex]

I got the picture and will send it to you show the coordinates of the points that create the shape of the image

Answers

We have the following:

[tex]\begin{gathered} P(1-1,-3+3)\rightarrow P^{\prime}(0,0) \\ Q(3-1,-1+3)\rightarrow Q^{\prime}(2,2) \\ R(4-1,-3+3)\rightarrow R^{\prime}(3,0) \end{gathered}[/tex]

now,

The answer is:

A sector of a circle has a central angle of 60∘ . Find the area of the sector if the radius of the circle is 9 cm.

Answers

Step-by-step explanation:

area of a sector is theta ÷360 ×πr²

12. A teacher weighed 148 lbs. in 1999 and weighs 190 lbs. In 2020. What was the rate ofchange in weight?

Answers

Given,

The weight of the teacher in 1999 is 148 lbs.

The weight of the teacher in 2020 is 190 lbs.

The rate of change in weight is,

[tex]\begin{gathered} \text{Rate of change=}\frac{190-148}{2020-1999} \\ =\frac{42}{21} \\ =2 \end{gathered}[/tex]

The teacher gained 2 pounds per year.

Hence, option A is correct.

[tex]8.25 \div 6[/tex]8.25 divid by 6

Answers

We want to calculate the following number

[tex]\frac{8.25}{6}[/tex]

To make the calcul.ation easier, we will transform the number 8.25 into a fraction. Recall that

[tex]8.25=\frac{825}{100}[/tex]

So, so far, we have

[tex]\frac{8.25}{6}=\frac{\frac{825}{100}}{6}[/tex]

Also, recall that

[tex]6=\frac{6}{1}[/tex]

So, we have

[tex]\frac{\frac{825}{100}}{6}=\frac{\frac{825}{100}}{\frac{6}{1}}[/tex]

Now, recall that when we divide fractions, we have

[tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot d}{b\cdot c}[/tex]

In this case, we have a=825,b=100,c=6,d=1.

So we have

[tex]undefined[/tex]

8.25 divided by 6 is 1.375

Two functions are shown. f(x) = 29(0.5)* g(x) = 18x + 14 What is the value of f(2) + g(4)?

Answers

Answer:

93.25

Explanation:

Given the below functions;

[tex]\begin{gathered} f(x)=29(0.5)^x \\ g(x)=18x+14 \end{gathered}[/tex]

To be able to find the value of f(2) + g(4), we have to 1st determine the value of f(2) and f(4) as shown below;

[tex]\begin{gathered} f(2)=29(0.5)^2=29\ast0.25=7.25 \\ g(4)=18(4)+14=72+14=86 \end{gathered}[/tex]

Let's go ahead and find the value of f(2) + g(4);

[tex]f(2)+g(4)=7.25+86=93.25[/tex]

Can you Help me with this i cannot do ir

Answers

To translate f(x) 4 units down we subtract 4 from f(x):

[tex]f(x)-4.[/tex]

Now, to reflect f(x)-4 over the x-axis we multiply by -1:

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

Answer:

[tex]g(x)=-\sqrt[3]{x-2}+4.[/tex]

question 5 only. determine the missing side length QP. the triangles are not drawn to scale.

Answers

This is a simple question.

First, we can see both triangles are proportional, it means it has the same relation between its sides even if one is in a large scale and the other on a a small scale.

Now we can identify which side corresponds to which side. Once side AC is the longest one for triangle ABC it means its equivalent for triangle PQR is the side RP, so the equivalent for side AB is side QP. Once we know that we can write the following relation and calculate:

Susanna has played the piano for s years. Patrick has played the piano for 4 more than twice the number of years that susanna has been playing the piano. which expression correctly shows the number of years that Patrick has been playing the piano.2s + 44s + 22 (s + 4)(s - 4) ÷ 3none of the above

Answers

Given data:

The expression for Patrick paly Piano is,

[tex]P=2s+4[/tex]

Thus, the first option is correct.

determine the solution,if it exists,for each system of linear equation. Verify your solution on the coordinate plane. x + 3 = y 3x + 4y = 7

Answers

[tex]\begin{gathered} \begin{bmatrix}x+3=y \\ 3x+4y=7\end{bmatrix} \\ \end{gathered}[/tex][tex]\begin{gathered} x+3=y \\ x+3-3=y-3 \\ x=y-3 \end{gathered}[/tex]

then

[tex]\begin{gathered} 3\mleft(y-3\mright)+4y=7 \\ 3y-9+4y=7 \\ 7y-9=7 \\ 7y-9+9=7+9 \\ 7y=16 \\ \frac{7y}{7}=\frac{16}{7} \\ y=\frac{16}{7} \end{gathered}[/tex]

replacing in x

[tex]undefined[/tex]

Which of the following tables represents a function?

Answers

Answer:

Table A represents a function

Step-by-step explanation:

Table A represents function because it is the only table that doesn't repeat an output or input number.

Solve the inequality for x and identify the graph of its solution.|x+ 2] < 2Choose the answer that gives both the correct solution and the correct graph.

Answers

| x + 2 | < 2

-2 < x + 2 < 2

-2 - 2 < x + 2 < 2 - 2

-4 < x < 0 This is the inequality

Letter B is the right choice.

Solve the problem. Use 3.14 as the approximate value of pie

Answers

The volume of a cylinder is calculated using the formula:

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

where r is the radius of the cylinder and h is the height.

From the question, we have the following parameters:

[tex]\begin{gathered} diameter=4.8 \\ \therefore \\ r=\frac{4.8}{2}=2.4 \\ and \\ h=6.66 \end{gathered}[/tex]

Therefore, we c n calculae tehe volume of a cylinder to be:

[tex]\begin{gathered} V=3.14\times2.4^2\times6.66 \\ V=120.455424 \end{gathered}[/tex]

For four cylinders, the combined volume will be:

[tex]\begin{gathered} V=120.455424\times4 \\ V=481.821696 \end{gathered}[/tex]

The volume i 481 .82 cubic inches.

Sue would like to join a gym. Gym A has a $56 joining fee with $3 per visit. Gym B has a $30 joining fee with a $5 per visit. Let x represent the number of visits. After how many visits would the cost of the two gyms be the same?

Answers

Let x represent the number of visits it will take for the cost of the two gyms to be the same.

Gym A has a $56 joining fee with $3 per visit. This means that the cost of x visits of gym A would be

3 * x + 56

= 3x + 56

Gym B has a $30 joining fee with a $5 per visit. This means that the cost of x visits of gym B would be

5 * x + 30

= 5x + 30

For both costs to be the same, it means that

3x + 56 = 5x + 30

5x - 3x = 56 - 30

2x = 26

x = 26/2

x = 13

After 13 visits, the cost of the two gyms would be the same

what is the area of a triangle with the legth of 8in,12in,6in

Answers

Area is

[tex]A=\frac{1}{2}bh=\frac{1}{2}\times6\times8=\frac{48}{2}=24[/tex]

answer: 24 sq in

A friend plans to purchase a 72-inch tv at a particular store for a cost of $1500. The store is offering 25% off any one item. He also has an internet coupon for an additional 10% off any discounted price. How much will your friend save (a) in dollar amount and (b) in percent?

Answers

the The Solution.

The marked price of the 72-inch TV = $1500

25% discount makes the actual discount to be:

[tex]\begin{gathered} \text{Actual Discount = 25 \% of 1500} \\ \text{ = }\frac{25}{100}\times1500=\text{ \$375} \end{gathered}[/tex]

So, the discounted price will now be

Discounted price = 1500 - 375 = $1125

He has an additional 10% internet coupon discount on already dicounted price ($1125) .

[tex]\begin{gathered} \text{Additional discount = 10\% of 1125} \\ \text{ =}\frac{10}{100}\times1125=\text{ \$112.50} \end{gathered}[/tex]

a. The friend will save

[tex]\begin{gathered} 375+112.50 \\ =\text{ \$487.50} \end{gathered}[/tex]

b. in percentage, he saved

[tex]\frac{487.5}{1500}\times100=32.5\text{ \%}[/tex]

Therefore, the correct answers are:

a. $487.50

b. 32.5%

6-Find the measure of ∠AEB.A. 122°B. 132°C. 142°D. 152°7-Find the measure of ∠BEC.A. 58 °B. 48°C. 38°D. 28°8-Find the measure of ∠CED.A. 52 °B. 48 °C. 42 °D. 32°9-Find the measure of ∠FEB.A. 142°B. 180°C. 90°D. 0°10-Find the measure of ∠FED.A. 0°B. 180°C. 45°D. 90°

Answers

The answer for 6 is C. 142°

Explanation

∠AEB = 180 - ∠AEF (Sum of angle on a straight line)

∠AEB = 180 - 38 = 142°

15% of $764.69rounded to the nearest cent.

Answers

Percentage is expressed in terms of 100. To find 15% of 764.69, we would multiply ratio of 15% to 100% by 764.69. Thus, we have

15/100 * 764.69

= 114.7035

Calculate the average rate of change for the function f(x) = 3x4 − 2x3 − 5x2 + x + 5, from x = −1 to x = 1.

a
−5

b
−1

c
1

d
5

Answers

Average rate of change for the function f(x) = 3x⁴ -2x³ -5x² +x +5 from

x =-1 to x=1 is equal to -1.

As given in the question,

Given function :

f(x) =  3x⁴ -2x³ -5x² +x +5

Formula for average rate of change for (a, f(a)) and (b, f(b))

[f(b) -f(a)] / (b-a)

Substitute the value of a=-1 and b=1

f(-1)=3(-1)⁴ -2(-1)³-5(-1)² +(-1) +5

     = 3+2-5-1+5

     =4

f(1)=3(1)⁴ -2(1)³-5(1)² +(1) +5

    = 3-2-5+1+5

    = 2

Average rate of change = (2-4)/(1-(-1))

                                        = -2/2

                                        =-1

Therefore, average rate of change for the function f(x) = 3x⁴ -2x³ -5x² +x +5 from x =-1 to x=1 is equal to -1.

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How to draw the graphs of the following non-linear functions?y=x^2 + 1y=3^x + 1

Answers

The first step is to substitute values of x into each equation.

For y = x^2 + 1,

if x = - 2, y = (- 2)^2 + 1 = 4 + 1 = 5

if x = - 1, y = (- 1)^2 + 1 = 1 + 1 = 2

if x = 0, y = (0)^2 + 1 = 0 + 1 = 1

if x = 1, y = (1)^2 + 1 = 1 + 1 = 2

if x = 2, y = (2)^2 + 1 = 4 + 1 = 5

We would plot the corresponding values of x and y on the graph as shown below

For y = 3^(x + 1),

if x = - 2, y = 3^(-2 + 1) = 3^-1 = 0.33

if x = - 1, y = 3^(-1 + 1) = 3^0 = 1

if x = 0, y = 3^(0 + 1) = 3^1 = 3

if x = 1, y = 3^(1 + 1) = 3^2 = 9

if x = 2, y = 3^(2 + 1) = 3^3 = 27

We would plot the corresponding values of x and y on the graph as shown below

a coyote can run a hundred one in 5.3 seconds a jack-rabbit can run 75 m in 4.7 seconds compared their unit speeds to determine which animal is faster round to the nearest whole unit Blank#1 Coyote speedBlank#2 Jack Rabbit speedBlank#3 Which one is faster

Answers

Answer

Coyote's speed = 19 m/s

Jack Rabbit's speed = 16 m/s

The Coyote is faster since 19 > 16.

Explanation

To answer this, we need to note that the relationship between speed, distance and time is given as

Speed = (Distance/Time)

For the Coyote,

Distance = 101 m

Time = 5.3 seconds

Speed = (Distance/Time)

Coyote's speed = (101/5.3) = 19 m/s

For the Jack Rabbit,

Distance = 75 m

Time = 4.7 seconds

Speed = (Distance/Time)

Jack Rabbit's speed = (75/4.7) = 16 m/s

Since 19 m/s is evidently greater than 16 m/s, we can conclude that the Coyote is faster than the Jack Rabbit.

Hope this Helps!!!

Evaluate the expression (4x^3y^-2)(3x^-2y^4) for x = –2 and y = –1.

Answers

Answer:

3x−2y)(4x+3y)

It can be written as =3x(4x+3y)−2y(4x+3y)

By further calculation =12x

2

+9xy−8xy−6y

2

So we get =12x

2

+xy−6y

2

identify the slope: 6x - 2y = -6

Answers

Answer:

The slope = 3

Explanations:

Note that:

The slope - Intercept form of the equation of a line takes the form y = mx + c

where m is the slope and

c is the intercept

The given equation is:

6x - 2y = -6

The equation can be re-written as:

2y = 6x + 6

2y / 2 = 6x/2 + 6/2

y = 3x + 3

The slope, m = 3

The intercept, c = 3

Slope m=3
Y intercept=3

There are 6 dogs and 2 mice. Write a ratio for the number of ears to th number of paws. * 6:2 3 people are in a room. Write a ratio to represent the number of finger

Answers

each dog has 4 paws, then 6 dogs have 6*4 = 24 paws

each mouse has 4 paws, then 2 mice have 2*4 = 8 paws

Total number of paws: 24 + 8 = 32 paws

each dog has 2 ears, then 6 dogs have 6*2 = 12 ears

each mouse has 2 ears, then 2 mice have 2*2 = 4 ears

total number of ears: 12 + 4 = 16 ears

The ratio for the number of ears to the number of paws: 16/32 = 1/2 or 1:2

(8-4) mulitiply (3-2)=

Answers

answer to this question is 4

An object is dropped from 27 feet below the tip of the pinnacle atop a 1471-ft tall building. The height h of the object after t seconds is giveh= - 16t^2 + 1444. Find how many seconds pass before the object reaches the ground.How many seconds pass before the object reaches the ground

Answers

The Solution:

Given:

[tex]h=-16t^2+1444.[/tex]

We are required to find t when h = 0.

[tex]\begin{gathered} -16t^2+1444=0 \\ \\ -16t^2=-1444 \end{gathered}[/tex]

Divide both sides by -16.

[tex]t^2=\frac{-1444}{-16}=90.25[/tex][tex]\begin{gathered} t=\sqrt{90.25} \\ \\ t=9.5\text{ or }t=-9.5 \end{gathered}[/tex]

Thus, the correct answer is 9.5 seconds.

what is the sum of 141.2-79.83

Answers

Given:

141.2 - 79.83

Here, we are to subtract 79.83 from 141.2

Let's evaluate the given expression.

We have:

[tex]\begin{gathered} 141.20 \\ -79.83 \\ _{\text{ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}} \\ \text{ 61.37} \end{gathered}[/tex]

ANSWER:

61.37

​​a. Create a perfect square trinomial.

b. Factor the perfect square trinomial you created in 1a.

a. Create a difference of two squares.

b. Factor the difference of two squares you created in 2a.

a. Describe at least one similarity between the perfect square trinomial and the difference of squares. You can use either the form you wrote in 1a and 2a, or you can use their factored form from 1b and 2b. Write your answer using complete sentences.

b. Describe at least one difference between the perfect square trinomial and the difference of squares. You can use either the form you wrote in 1a and 2a, or you can use their factored form from 1b and 2b. Write your answer using complete sentences.
A factored perfect square might look like (x+a)(x+a) or (x-a)(x-a) [or (ax+b)(ax+b) but keep it simple]. Then, distribute.

A factored difference of two squares might look like (x+a)(x-a). Then, distribute.

(pick a number for a)

Answers

1.

a. One example of a perfect square trinomial is: x² + 6x + 9.

b. The factored trinomial above is: (x + 3)².

2.

a. One example of a difference of two squares is: x² - 4.

b. The factored difference of squares above is: (x - 2)(x + 2).

3.

a. The similarity is that the first term is positive for both cases.

b. The difference is that the final term is positive for perfect square trinomials and negative for the difference of squares.

Perfect square trinomials

There are two examples of perfect square trinomials, the square of the sum and the square of the subtraction, as follows:

Square of the sum: (a + b)² = a² + 2ab + b².Square of the subtraction: (a - b)² = a² - 2ab + b².

The left side is the factored form and the right side is the expanded form.

Hence one example of a perfect square trinomial is given as follows:

(x + 3)² = x² + 6x + 9.

Difference of two squares

A difference of two squares is factored as follows:

x² - y² = (x + 2)(x - 2)

Hence one possible example is:

x² - 4 = (x + 2)(x - 2).

Compared to the perfect square trinomial, we have that:

The similarity is that the first term in any of the two polynomials will  always be positive.The difference is in the last term, for the perfect square it will always be positive (+ b²) and for the difference of two squares it will always be negative (- b²).

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Write an equation for the graph below in point-slope form and then solve rewrite in slope-intercept form.

Answers

We are given the graph of a line and we are asked to determine its equation in point-slope form.

The general form in slope point form of a line is:

[tex]y-y_0=m(x-x_0)[/tex]

Where:

[tex]\begin{gathered} m=\text{ slope} \\ (x_0,y_0)\text{ is apoint in the line} \end{gathered}[/tex]

to determine the slope we will use the following formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where:

[tex](x_1,y_1);(x_2,y_2)=\text{ points on the line}[/tex]

We will choose two points on the line from the graph:

[tex]\begin{gathered} (x_1,y_1)=(0,1) \\ (x_2,y_2)=(2,2) \end{gathered}[/tex]

Now, we plug in the values in the formula for the slope:

[tex]m=\frac{2-1}{2-0}=\frac{1}{2}[/tex]

Now, we substitute the value of the slope in the equation of the line:

[tex]y-y_0=\frac{1}{2}(x-x_0)[/tex]

Now, we plug in the first point we choose for the line:

[tex]\begin{gathered} y-1=\frac{1}{2}(x-0) \\ \\ y-1=\frac{1}{2}x \end{gathered}[/tex]

And thus we have determined the equation of the line in point-slope form.

The slope-intercept form is the following:

[tex]y=mx+b[/tex]

To convert this equation to slope-intercept form, we will take the previous equations and we will add 1 to both sides:

[tex]y=\frac{1}{2}x+1[/tex]

And thus we have determined the slope-intercept form of the equations of the line.

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There is a 40% chance that it will be cloudy tomorrow.If it is cloudy, there is a 79% chance that it will rain.What is the probability that it will rain? a paragraph on how events from American history have affected women in the work force 6. Find the domain and range of V(x) in this context.7. Think of V(x) as a general function without the constraint of modeling the volume of a box. What would be the domain and range of V(x)?8. Use correct notation to describe the end behavior of V(x) as a function without context. -20 greater than or equal to 5v Which of the following is not a systematic process of controlling?Select one:A.Establishing standards and methods of measuring performance.B.Measuring both quantity and qualityC.Measuring performanceD.Determining whether performance matches the standards Find the center, vertices, foci, endpoints of the latera recta and equations of the directrices. Then sketch the graph of the ellipse. Jelani filled an aquarium with blocks that were each one cubic foot in size. He filled the bottom layer of the aquarium with 21 blocks. He then stacked three more blocks on top of the bottom layer. The partially filled aquarium is shown below. What is the total volume, in cubic feet, of the aquarium? investment a costs $10,000 today and pays back $11,500 two years from now. investment b costs $8000 today and pays back $4500 each year for two years. if an interest rate of 5% is used, which alternative is superior? Graph of this line using intercepts. I need some help some assistance would be nice becoming fully human, associated with the evidence of symbolic thought and artistic creativity, may have occurred as much as 200,000 years ago or only 45,000 years ago. what is the term used by anthropologists for these abilities what does does the language-comprehension component of the Reading Rope emphasize? If f(x) =5x2 - 3x + 1, calculate the following The sum of two numbers is 164. The second number is 24 less than three times the first number. Find the numbers. Can someone help me with this geometry question? I will provide more information. For circle H, JN = x, NK = 8, LN = 4, and NM = 20.Solve for x. Solve the equation. f(x)=g(x) by graphing. f(x) = l x +5 l g(x) = 2x + 2 Select all possible solutions: No Solutions x=3 x=0 X=-1 Victoria and her children went into a grocery store and she bought $9 worth of applesand bananas. Each apple costs $1.50 and each banana costs $0.50. She bought a totalof 8 apples and bananas altogether. Determine the number of apples, x, and thenumber of bananas, y, that Victoria bought.Victoria boughtapples andbananas. 7. |4n+ 2|= 34 solve for N The volume of a rectangular prism is 2 x cubed + 9 x squared minus 8 x minus 36 with height x + 2. Using synthetic division, what is the area of the base? Which well-known film production company is headquartered at the presidio of san francisco, a long-time u. S. Army post that closed in 1994?.