What is the slope of a line perpendicular to the line with equation y = 3x – 1? –3 –1 3

Answers

Answer 1

[tex]m=-\frac{1}{3}[/tex] is the slope of a perpendicular line.

Step-by-step explanation:

For two lines to be perpendicular to each other, their slope must be mutually negative reciprocal (to check if the numbers are multiplied, they should be -1).

Given equation:

          y = 3 x – 1

We know the standard slope equation, as y = m x + b. When comparing this with the given equation, we get slope value,

           m = 3

But in question, they asked to find slope of a line perpendicular to the line. So, apply this ‘the perpendicular slope will be the opposite (negative) reciprocal of the original slope

Therefore, the slope of a perpendicular line is

          [tex]m=-\frac{1}{3}[/tex]


Related Questions


Where is the point of concurrency of the angle bisectors of a triangle?
A.on the triangle
B. outside the triangle
c. inside the triangle
please help me

Answers

Answer:

The point of concurrency of the angle bisectors of a triangle is inside the triangle.

Step-by-step explanation:

Considering the triangle ΔABC as shown in attached figure.

As it is clear that

The three angle bisectors of a triangle intersect at one point. Incenter is basically the point of concurrency of the angle bisectors.Each point on the angle bisector is at equal distance from the sides of the angle.

As the triangle's incenter is always located inside the triangle, so we can conclude that the point of concurrency of the angle bisectors of a triangle is inside the triangle.

Therefore, the point of concurrency of the angle bisectors of a triangle is inside the triangle

Please check the attached figure below.

Keywords: angle bisectors of a triangle, point of concurrency

Learn more about point of concurrency of angle bisectors from brainly.com/question/3158572

#learnwithBrainly

what is the geometric mean of 2 and 135

Answers

[tex]\bf \stackrel{\textit{geometric mean of 2 and 135}}{\cfrac{2}{x}=\cfrac{x}{135}\implies 270 = x^2}\implies \sqrt{270}=x[/tex]

I need help with filling in first y variable please

Answers

Answer: 5

Step-by-step explanation:

)$;&&;:)&!;$:!:&:?($;!:!::99

Answer:

In the given equation : y= 128-4x (select the coordinate and plug in the x and y)

                                       y= 128-4(0)

                                       y= 128-0

                                       y= 128

Therefore, the value for y is 128

                                     

What is the simplified value of the expression below rounded to the nearest hundredth?
3.5x2+9
10.4-14X2
0 0.28
0.89
1.91
02.11

Answers

Answer:

The correct answer is D. 2.11

Correct statement and question:

What is the simplified value of the expression below rounded to the nearest hundredth?

(3.5x2+9)/(10.4-1.4x2)

Source: Previous question that can be found at brainly

Step-by-step explanation:

Let's solve and simplify, this way:

(3.5 x 2 + 9)/(10.4 - 1.4 x 2)

=(7 + 9)/(10.4 - 2.8)

= 16/7.6

= 2.11 (Rounding to the next hundredth)

The correct answer is D. 2.11

Answer:

its d

Step-by-step explanation:

Everyday Jin reads for 0.75 hours in the mornings and 1.25 hours in the evening. He uses the expression 0.75d + 1.24d to keep track of the number of hours he has read for any number of days, d. If Jim reads for 20 days, how many hours has he read?

Please please please answer. Overdue

Answers

Answer:

Step-by-step explanation:

0.75d + 1.25d.......for 20 days

0.75(20) + 1.25(20) = 15 + 25 = 40 hrs <===

The number of hours Jin reads in 20 days is 39.8 hours.

The expression for the given situation is 0.75d + 1.24d.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

In the given expression 0.75d + 1.24d, d is number of days.

Substitute d=20 in 0.75d + 1.24d, we get

0.75(20) + 1.24(20)

= 15+24.8

= 39.8 hours

Hence, the number of hours Jin reads in 20 days is 39.8 hours.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

If a = 6 and c = 15, what is the measure of ∠A? (round to the nearest tenth of a degree)

Answers

Answer:13.7 degrees

Step-by-step explanation:

a^2+b^2=c^2

15^2-6^2=189

[tex]\sqrt{189\\[/tex]

13.7 degrees

Factoring a polynomial reverses the process of __________________ two polynomials.

Answers

Answer:

Factoring a polynomial involves writing it as a product of two or more polynomials. It reverses the process of polynomial multiplication.

Step-by-step explanation:

Factoring a polynomial is the reverse of multiplying two polynomials and involves reversing the distributive law, returning an expression to its original factors or multiples.

Factoring a polynomial reverses the process of multiplying two polynomials. When you factor a polynomial, you are essentially reversing the distributive law and turning an expression back into its factors or multiples. An expression is a mathematical phrase that can include numbers, variables (abbreviated as var), and the product or quotient of these, all separated by plus or minus signs. Factoring out common components helps to simplify an expression, just as using factors of ten can help to assess differences and cancel out units in algebra.

Factoring polynomials is a crucial part of algebraic manipulation, allowing us to find expressions that, when evaluated, produce the same value. This operation is important in solving equations and can also reveal interesting properties of numbers, especially within the complex number system. For example, second-order polynomials may have two roots and can be factored, such as x² + 1 which can be factored into (x - i)(x + i), where i is the imaginary unit.

How many hundredths are in 539.26? Is the answer 53,926

Answers

Answer:

there are 6 hundredths

Step-by-step explanation:

the 6 is in the hundredths decimal place so the answer would be 6

Answer:

53926

Step-by-step explanation:

539.26x100=53926

A model house is 12 inches wide. If it is built with a scale of 3 in : 20 feet, then how wide is the real house?​

Answers

Answer:

80 inches wide

Step-by-step explanation:

3 inches = 20 feet. 12/3=4. 4*20=80 inches

Find the sum of the polynomials 3x^5y – 2x^3y^4 - 7xy^5 and -8x^5y+ 2x^3y^4+xy^3

Answers

Answer:

the degree of a polynomial is the highest exponent in a term

thus it'd be 7 cuz

2x^3y^4

4 + 3 = 7

Step-by-step explanation:

I think thats write, not completly sure if its wrong lmk

Every item in the Just a Dollar store is priced at $1.00. When Mary Jo opens the store, there is $125.50 in the cash register. When she counts the money in the cash register at the end of the day, the total is $1,085.60. If the sales tax rate is 8.5%, howmany items were sold that day?

Answers

Answer:

885

Step-by-step explanation:

Given:  Amount available in the cash register= $ 125.50.

            Every item is just priced at $1.00

            Total amount of money at the end of day= $1085.60

            Sales tax rate= 8.5%

First finding total revenue generated at the end of day,

Total revenue at the end of day= [tex]Total\ cash\ at\ the\ end\ of\ day - Cash\ available\ at\ the\ beginning\ of\ day[/tex]

∴ Total revenue at the end of day= [tex]1085.6- 125.5= \$ 960.1[/tex]

Lets assume total number of item sold be "x".

Now, forming an equation to determine the total revenue generated at the end of day.

We know, Total revenue is the number of item sold at $1 and sales tax revenue generated on the number of item sold.

⇒ [tex]\$1 \times x + \frac{8.5}{100} \times x= \$ 960.1[/tex]

⇒[tex]1x+0.085x= 960.1[/tex]

⇒ [tex]1.085x= 960.1[/tex]

dividing both side by 1.085

⇒[tex]x= \frac{960.1}{1.085}[/tex]

∴ x= [tex]884.884[/tex] [tex]\approx 885[/tex]

Hence, total number item sold in the day is 885

help me plzzzzzzzzz!!!!!!!!!!!!!!!!!!

Answers

Answer: ( 12 , 9 )

Step-by-step explanation:

The formula for finding the coordinate of points when a line is externally divided in a given ratio is given by :

x = [tex]\frac{p x_{2}+q x_{1}}{p+q}[/tex]

y = [tex]\frac{p y_{2}+q y_{1}}{p+q}[/tex]

From the question

[tex]x_{1}[/tex] = 2

[tex]x_{2}[/tex] = ?

x = 4

[tex]y_{1}[/tex] = -1

[tex]y_{2}[/tex] = ?

y = 1

p = 1

q = 4

substituting the values into the formula ,we have

x = [tex]\frac{p x_{2}+q x_{1}}{p+q}[/tex]

4 = [tex]\frac{1(x_{2})+4(2) }{1+4}[/tex]

4 = [tex]\frac{x_{2}+8}{5}[/tex]

[tex]x_{2}[/tex] + 8 = 20

[tex]x_{2}[/tex] = 12

Also

y = [tex]\frac{p y_{2}+q y_{1}}{p+q}[/tex]

1 = [tex]\frac{y_{2}+4(-1)}{5}[/tex]

[tex]y_{2}[/tex] - 4 = 5

[tex]y_{2}[/tex] = 9

Therefore , the end of the stencil is located at point ( 12 , 9 )

Is 60/100 equal fraction

Answers

Answer:

3/5

Step-by-step explanation:

60/100 = 6/10 ( given by 10th table) = 3/5  (give by 2nd table)

Can someone Help Me With The Answers?

Answers

Answer:

5 1/3 x 2 3/4= 3/4 5 x 2 = 10

Step-by-step explanation:

Multiply fractions 1/3 x 3/4= 3/4

_y =-2x +7
Do any of y’all know the y intercept

Answers

y=0

y=2x+7

x= 7/2 =3.5

- 2×3.5+7 =0

0=- 2×3.5+7

y. x

The y intercept is always the constant.
In this case, it will be 7
You know this because the only time the line will intersect at the y axis is when x is 0
So
y=2(0)+7
y=7

James needs to mix a 20% fungicide solution with a 60% fungicide solution to create 200 milliliters of a 26% solution. How many milliliters of each solution must James use?

Answers

170 ml of 20 % fungicide solution is mixed with 30 ml of 60% fungicide solution  to create 200 milliliters of a 26% solution

Solution:

The final solution has 200 ml

Let "x" be the ml of 20 % fungicide solution

Then, (200 - x) is the ml of 60% fungicide solution

Then according to question, we can say,

"x" ml of 20 % fungicide solution is mixed with (200 - x) ml of 60% fungicide solution to get 200 ml of 26 % solution

We can frame a equation as:

[tex]x \times 20 \% + (200-x) \times 60 \% = 200 \times 26 \%\\\\\text{Solve the equation for "x" }\\\\x \times \frac{20}{100} + (200-x) \times \frac{60}{100} = 200 \times \frac{26}{100}\\\\\text{Simplify the above expression}\\\\x \times 0.2 + (200-x) \times 0.6 = 26 \times 2\\\\0.2x + 120 - 0.6x = 52\\\\-0.4x = 52 - 120\\\\-0.4x = -68\\\\x = 170[/tex]

Thus 170 ml of 20 % fungicide solution is used

Then , (200 - x) = 200 - 170 = 30 ml of 60% fungicide solution is used

Final answer:

James needs to mix 160 milliliters of the 20% solution with 40 milliliters of the 60% solution, in order to achieve a 26% solution in a total volume of 200 milliliters.

Explanation:

To solve the problem, set up two equations based on the total volume and the percentage of the fungicide.

Let x be the volume of the 20% solution, and y be the volume of the 60% solution. Hence, the equation based on volume is x + y = 200 (since the total volume is 200 milliliters).The second equation will be based on the percentage of the fungicide in the solution as follows: 0.20x + 0.60y = 0.26*200 (reflecting the fact that James wants a 26% solution).

Solving these two equations simultaneously, we get x = 160 milliliters and y = 40 milliliters.

Therefore, James needs to mix 160 milliliters of 20% fungicide solution and 40 milliliters of 60% fungicide solution to get a 26% solution of 200 milliliters.

Learn more about Mathematical Problem Solving here:

https://brainly.com/question/32199704

#SPJ3

The Skittles jar has a radius of 3.5 cm and a height of 11.5 cm. Using the two given boxes for reference what would be a good estimate for the number of jelly beans in the jar?

Answers

Answer:

1052

Step-by-step explanation:

The two given boxes for reference are presented below.

Since we know the dimensions of the first container, we can calculate its volume.

[tex]V_1= 5 \text{cm} \cdot 4 \text{cm} \cdot 4 \text{cm} = 80 \text{cm}^3[/tex]

The first container held 192 skittles. Using that fact, now that we know the volume of the first box, we can calculate the volume of a single skittle.

[tex]v = \frac{80}{192} = 0.416 \approx 0.42 \text{cm}^3[/tex]

The second container held 258 skittles.

The volume of the second box is:

[tex]V_2 = 12 \text{cm}\cdot 3 \text{cm} \cdot 3 \text{cm} = 108 \text{cm}^3[/tex]

Using this facts, the volume of a single skittle would be

[tex]v = \frac{108}{258} = 0.418 \approx 0.42 \text{cm}^3[/tex]

Therefore,  the volume of  single skittle is around to 0.42 cm³.

A skittle jar is a cylinder. Its volume is calculated by the formula

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

where [tex]r[/tex] is the radius and [tex]h[/tex] is the height. From the given data, we have [tex]r = 3.15 \text{cm}[/tex] and [tex]h = 11.5 \text{cm}[/tex]. Hence, the volume of the jar is

[tex]V = 3.5^2 \cdot 11.5 \cdot 3.14 = 442 \text{cm}^3[/tex]

Now, we can determine the number of skittles in the jar. Let [tex]n[/tex] be the number of skittles in the jar. Then,

[tex]n = \frac{\text{volume of the jar}}{\text{volume of a skittle}} = \frac{V}{v} = \frac{442}{0.42} = 1052.38 \approx 1052\\[/tex]

Final answer:

The best estimate for the number of jelly beans in the jar is approximately 1,000 beans, calculated based on linear dimensions and volume estimation.

Explanation:

The best estimate for the number of jelly beans in the jar would be approximately 1,000 beans.

To estimate this, we first look at linear dimensions and consider a rectangular jar. Assuming the jar is about 10 beans deep, 10 beans wide, and 10 beans high, the volume would be around 10 x 10 x 10, giving us ~ 1,000 beans inside.

Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
A.(-2,2)
B.(-1,2)
C.(2,-2)
D.(2,-1)

Answers

Answer:

B.(-1,2)

Step-by-step explanation:

In a function, there can not be two different values of y corresponding to the same value of x.

See the graph attached.

Here, the points on the graph are (1,2), (2,-3), (-2,-2) and (-3,1).

If we consider point (-2,2) then there will be two points corresponding to the same x value i.e. (-2,-2) and (-2,2).

Similarly, if we consider the point (2,-2) or (2.-1) then also there becomes more than one values of y for a single value of x i.e. x = 2.

So, if we consider the ordered pair (-1,2) then only the graph still represents a function. (Answer)

Answer:

B.(-1,2)

Step-by-step explanation:

3,425,645 rounded to the nearest hundred thousand

Answers

Answer:

3,400,000

Step-by-step explanation:

refer to attached for reference

in our case, the digit in the hundred thousands place is the number 4.

How we round this digit depends on the digit directly to the right of it (i.e the ten-thousands place).

If the digit to the right is less than 5, then leave the digit in the hundred thousands place the same and make everything else to the right zeros.

if the digit to the right is 5 or greater, then increase the digit in the hundred thousands place by 1 and then make everything else to the right zeros.

in our case, the digit to the right of the hundred thousands place is the number 2, this is less than 5, so we leave 4 the same and make everything esle to the right zero.

i.e. 3,400,000

Final answer:

3,425,645 rounded to the nearest hundred thousand is 3,400,000. The rounding is based on the digit in the ten thousand's place, which is 4 in this case, so we round down.

Explanation:

To round the number 3,425,645 to the nearest hundred thousand, we look at the ten thousand's place which is 2. Since this digit is less than 5, we round down the hundred thousand's place. Therefore, 3,425,645 rounded to the nearest hundred thousand is 3,400,000.

When rounding to the nearest hundred thousand, the digit in the hundred thousand's place becomes the focus. If the digit in the ten thousand's place (to the right of the hundred thousand's place) is 4 or less, the hundred thousand's digit remains the same and all subsequent digits become zero. If the ten thousand's place is 5 or more, the hundred thousand's digit is increased by one, and again, all digits to the right are changed to zero.

In this example, the hundred thousand's digit is 3 and the ten thousand's digit is 4, which tells us to keep the hundred thousand's place as it is and replace the subsequent digits with zeros. This gives us 3,400,000 as the rounded number.

how many roots exist for this polynomial function? F(x) = 4x5 – 3x​

Answers

there is 5 roots  hope it helps

2X plus 8Y minus 3X +9+2y

Answers

Something maybe 13 or so like

Why can't you use the product of powers rule to simplify
this expression? Explain.
3^4•2^8

Answers

To use the product of powers rule, the powers must have the same base. In this expression, the bases are 3 and 2, which are different, so the rule does not apply.

what is the value of the first 4 in this...4,384,488?​

Answers

400
4=400(correct)
4=4000
4=4000000

15 is 37.5 of what number

Answers

Answer:

40

Step-by-step explanation:

15 / 37.5% = 40

(4x2 – 9x - 1) + (x2 – 5x – 3)

Answers

Answer:

5x^2-14x-4

Step-by-step explanation:

(4x^2-9x-1)+(x^2-5x-3)

4x^2+x^2-9x+(-5x)-1+(-3)

5x^2-9x-5x-1-3

5x^2-14x-4

Find the indicated side of the triangle !!!

Answers

Answer:

The correct answer is b = 6 √3 units

Step-by-step explanation:

Let's recall that we can use the following ratio for the sides of a 90 - 60 - 30 triangle:

1 : √3 : 2, where 2 is the hypotenuse.

Upon saying that, we have that in our triangle:

Hypotenuse = 12 units

a = 6 units

b = 6 √3 units

The correct answer is b = 6 √3 units

Answer:

b = 6

Step-by-step explanation:

The above questions is trigonometry where hypothenus = 12; opposite = b; and adjacent = a. Applying SOHCAHTOA principle, the appropriate is

Sine = opposite/hypothesis, since we are to find the value of b. Thus,

Sine 30 = b/12

0.5 =b/12

By cross multiplying,

b = 0.5 × 12

b = 6

Given the line below.



Write the equation of the line, in point-slope form. Identify the point (-2, -2) as (x1, y1). Use the box provided to submit all of your calculations and final answer.

Answers

Answer:

The equation of the line in point slope form is equal to

[tex]y+2=(x+2)[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the slope

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

(-2,-2) and (2,2)

substitute the values

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

step 2

Find the equation of the line in point slope form

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=1\\(x1,y1)=(-2,-2)[/tex]

substitute the values in the formula

[tex]y-(-2)=(1)(x-(-2))[/tex]

[tex]y+2=(x+2)[/tex]

Select the correct answer.
Which expression gives the same result as ?
A.

B.

C.

D.

Answers

What are the choices, it’s blank.

Answer: A. would give the same result as the blank space as generally, when you think the answer is A. you should double check that as teachers know that students will always guess A in a pinch.

Hope this helps!    :)

Step-by-step explanation:

If a population consists of 54,000,000 people and a census is taken, how many people are sampled?

Answers

Answer:

A.54,000,000

Step-by-step explanation:

apexs

Trey is making a small sign in the shape of a triangle for her store. He wants the height of the triangle to be 8 inches. The area of the sign must be less than 20 square inches. (Trey doesn't want to buy more material.) Write an inequality that describes the possible base lengths (in inches) of the triangle. Use b for the base length of the triangular sign.

Answers

Answer:

8+b=20

Step-by-step explanation:

Other Questions
What type of word is any when used as I dont care for any, thank you Meaningful results that make it possible for researchers to feel confident that they have confirmed their hypotheses is known as a - you are about to install a new desktop application that you downloaded from a website. What should you do before you start the installation? Are 82 and 28 equivalent You lower a 2.8 kg solid gold statue into a container of water and measure the volume of displaced water. What volume will verify that it is pure gold if the density of gold is 19.3 g/cm3 In the presence of oxygen, the cells convert glucose into energy through a process called: Select one: a. anaerobic metabolism. b. respiration. c. perfusion. d. aerobic metabolism. Give two circumstances in which in situ treatment would be better, and two in which ex situ treatment would be better. Both using chemical oxidation as the remediation technique. A scientist wants to observe the structure that joins a cell to neighboringcells. How should the scientist observe the detailed structure of the cell?) A. The scientist should prepare a culture of the cell.OB. The scientist should prepare a medium for the cell.Oc. The scientist should use a light microscope.D. The scientist should use an electron microscope. Do the shortest duration of insolation and the minimum temperature occur in the same month? What is the radius of a circle The top of a ladder is 4m up a vertical wall.The bottom is 2m from the wall.The coordinate axes are the wall and the horizontal ground.a)Find the equation representing the ladder.b)A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder. The left and right page numbers on anopen book add to 333. What are thepage numbers?and An organism dies, and its body leaves animpression in mud. Over time, the mudhardens into rock, and the impressionbecomes a fossil. Which kind of fossil wasformed? SC.7.L.15.1 The articles of confederation structured the federal government as a single entity, Congress, but delegates to the constitutional convention agreed that it was necessary to also have What is the power of 10 when 157,821 is written in scientific notation? A point restricted rabbit was mated with a chinchilla rabbit. The two offspring were albino and chinchilla. What were the genotypes of the parents? in 1664, the dutch surrendered new netherland to the A mass m at the end of a spring oscillates with a frequency of 0.83 Hz.When an additional 730 gmass is added to m, the frequency is 0.65 Hz.What is the value of m? Relatively few criminal offenders break federal criminal laws when compared to the large numbers who break state criminal laws. Group of answer choicesTrue/False Which statement taken from a students logbook would beconsidered an experimental result?a.The speed of a snail isb.The average speed of the controlc.A mercury thermometerd.If temperatureaffected by temperature.group of snails is 2.4 cm/min.was used to measure temperature.increases, then the speed of the snail decreases Steam Workshop Downloader