Which is an equation of the line passing through (-2,3) and perpendicular to the line
5x-y=12?

Answers

Answer 1

Answer:

y = -1/5x + 2.6

Step-by-step explanation:

Put the equation into slope intercept form:

5x - y = 12

-y = -5x + 12

y = 5x - 12

The slope of a perpendicular line will be the opposite reciprocal.

So, the slope of the new line will be -1/5

Then, plug this slope and the given point into the equation y = mx + b to find b

y = mx + b

3 = -1/5(-2) + b

3 = 0.4 + b

2.6 = b

So, the equation will be y = -1/5x + 2.6


Related Questions

At a Forex Bureau, one US dollar costs Ug.sh.2800. How much Ugandan shillings will a tourist who has US dollars 600 get?​

Answers

Answer:

1,680,000 shillings

Step-by-step explanation:

As one US dollar is 2800, and the dollar is repeated 600 times. You multiply Both

=2,800×600

=1,680,000 shillings

--~Hope you understood~--

How can these models be used to find the sum 1.8 + 1.56?



Enter your answers in the boxes.

The models show a total of 2 wholes,
tenths, and
hundredths. After regrouping 10 tenths into 1 whole, there are
wholes,
tenths, and
hundredths. Therefore, the sum of the numbers is
.
First row. One large square divided into a 10 by 10 grid of 100 small squares. Eight columns, each divided into 10 small squares. Second row. One large square divided into a 10 by 10 grid of 100 small squares. Five columns, each divided into 10 small squares. Six small squares.

Answers

Answer:

The sum of  1.8 and 1.56 is 3.36 according to the model

Sum of decimals

Given the expression  1.8 + 1.56

Using the partial sum method

1.8 + 1.56 = (1.0 + 0.8) + (1.0+0.56)

Regroup as whole and decimal number

1.8 + 1.56 = (1.0 + 1.0) + (0.8 +0.56)

1.8 + 1.56 = 2.0 + 1.36

1.8 + 1.56 = 3.36

Hence the sum of  1.8 and 1.56 is 3.36 according to the model

Nannette buys a $5000 20-year bond that has a coupon rate of 2.5 %. If she keeps the bond to maturity, how much money plus principal interest will she have collected over the life of the bond?

Answers

The total amount collected over the life of the bond is $7,500.

What is the total amount collected?

A bond is a debt instrument that entitles its holder to regular interest payments. At the end of the life of the bond, the bondholder receives the amount invested back.

Total earnings = interest + amount invested

(20 x 0.025 x 5000) = $2500

Amount invested = $5000

= 2500 + 5000 = $7,500

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Find the perimeter of the figure to the nearest hundredth. perimeter: about cm

Answers

The perimeter of the figure to the nearest hundredth is 50.26 cm.

Perimeter of a figure.

The perimeter of a figure is the sum of the whole sides of the figure.

The perimeter of the figure can be found as follows:

perimeter of the figure = 12 + 5 + 5 + circumference of the semi circle

circumference of the semi circle  = πr

where

r = radius

perimeter of the figure = 22 + πr

perimeter of the figure = 22 + 3.14(9)

perimeter of the figure = 22 + 28.26

perimeter of the figure = 50.26 cm

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which ordered pair in the form (x,y) is a solution of this equation?
7x-5y=28

(-3,-2)
(-2,-3)
(0,4)
(4,0) will give brainly to who ever gets it right please and thank you

Answers

Answer:

I think is 4,0

Step-by-step explanation:

if u divide 28 by seven u would get 4 and u cant divide 28 by 5 sooo it would be a decimal but that isnt an option so imma say its the last one

Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions. If a substance has a pH of 7, what is its H value?

Answers

Answer:

1 x 10^-7

Step-by-step explanation:

[H+] = 10^-pH

[H+] = 10^-7

Can someone help me with this please?

Answers

f hi I chhiring Tamang I read in hdidieje

Add 3/4 + (−2 1/2) using the number line.

Select the location on the number line to plot the sum.

Answers

Answer:

Heyyy!!!!

Alrighty... here it goes....

Step-by-step explanation:

3/4 + (-2 1/2)

okay... the first thing you have to do is convert 1/2 into fourths. that'll make it way easier to solve..... like way easier.....

then rewrite the expression to get 3/4 + (-2 2/4)

now we know that + - = -

basically you subtract since adding a negative makes you subtract...

3/4 - 2 2/4 gives you - 1 3/4

all you have to do is plot that on the number line and you should be good to go

Evaluate 6ab + 2c if a = 3, b = 10, and c = 7

Answers

Answer:

6 (3 ×10 ) + 2 (7)

6(30) + 14

180 + 14

= 194

Answer: 194

Step-by-step explanation:

Given:

6ab + 2c

a = 3, b = 10, c = 7

Solve:

1. Plug in what you know and solve for your answer

⇒ 6(3)(10) + 2(7)

⇒ 6(30) + 14

⇒ 180 + 14

194

A regular-size box of dog treats measures 314 inches by 712 inches by 12 inches. The manufacturer also sells a small-size box that has a volume that is 310 of the volume of the regular-size box.

What is the volume of the small-size box of dog treats?

Enter your answer as a mixed number in simplest form by filling in the boxes.


(its going to be a mixed number) in³

Answers

The volume of the small-size box of dog treats will be equal to    V=8654.24 In³

What is volume?

Volume is defined as the space occupied by any body in the three-Dimensions. All three parameters are required for the volume like length,width and height of the cube or Cuboid

The volume of the rectangular box will be:-

V=LxWxH

V=314x712x12

So the volume of small size box will be:-

V=2682816÷310=8654.24

Hence the volume of the small-size box of dog treats will be equal to

V=8654.24 In³

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Multiply 3hrs 40mins by 7

Answers

Answer:

25 hour 40 minutes

Step-by-step explanation:

3 hrs X 7 is = 21 hours

then you mutliply 40 mins times 7 which is equal to 280mins

the you divide 280mins by 60 mins because 60 minutes is equal to an hour and you come out with 4 hours and 40 minutes which you add to 21 which is equal to 25 hours!

Hope This Helps!

6) What time will it be 17 hours and 53 minutes before 4:37 a.m.? Military time

Answers

Answer:

17:53=5:53pm

Step-by-step explanation:

Which graph represents a circle whose equation is (x+3)² + (y-1)² = 4?

Answers

Answer:

A

Step-by-step explanation:

Equation describing a circle: (x - x0)^2 + (y - y0)^2 = r^2

(x0, y0) is the centrer is short for radius

The given equation is: (x + 3)^2 + (y - 1)^2 = 4

=> (x - (-3))^2 + (y - 1)^2 = 2^2

Coordinates of the centre: (-3, 1)Radius: 2

Therefore, the answer is A.

Which graph shows the solution to the system of linear inequalities?

Answers

Answer:

this is answer

Step-by-step explanation:

To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.

Use rules of transformations to answer each of the items below. Be sure to answer in complete sentences, and when necessary, include your calculations. Create your own set of coordinates for △ B L U and graph it on a coordinate plane. Label each of the triangle's vertices. Write a scenario involving the dilation of △ B L U onto its image. In the scenario, include the scale factor between the similar triangles and the coordinates for the image. Graph the image on the same coordinate plane as its pre-image. Use the distance formula or Pythagorean Theorem to prove mathematically that △ B L U is similar to its image. Include all necessary calculations.

Answers

Answer:

We choose the coordinates (4,4), (4,10), and (8,4) as the vertices of right-angle triangle ABCWe want to dilate triangle ABC by scale factor of 2

Step-by-step explanation:

On a​ map, 1 inch equals 25 miles. Two cities are 3 inches apart on the map. What is the actual distance between the​ cities?

Answers

Answer:

75 Miles apart

Step-by-step explanation:

I = inches on a map

I=25

3I=75

75 miles apart

Steven is puiting a design that contains two repeating patterns that start in the same place. One pattern repeats every 12 inches and the other repeats every 18 inches. How many inches will it take for the patterns to begin together again?

Answers

Answer:

36

Step-by-step explanation:

So, taking 12 inches and 18 inches, we can figure out where they both meet. To do this, you want to change these number into a fraction (12/18). Simplifying this gives you 2/3. So if you flip this fraction (3/2) and then use these number and multiply them with the first numbers (so we do 3*12 and 2*18, they both equal 36, so they would both meet at 36, our final answer. they would also meet at 72, 108, 144, etc. if you were to keep going.

What is the slope of the line that
passes through these two points?
(2, 3)
(2,9)

Answers

Answer:

Slope = undefined.

Step-by-step explanation:

Given two points:

(2,3) & (2,9)

To Find:

The slope

Solution:

Using slope's formulae,

[m denotes slope]

[tex] \boxed{ \rm{m = \cfrac{y_2 -y_1 }{x_2 - x_1} }}[/tex]

According to the question,here:

(y_2,y_1) = (9,3)(x_2,x_1) = (2,2)

Substitute them onto the formulae:

[tex] \rm \: m = \cfrac{9 - 3}{2 - 2} [/tex]

Simplify.

[tex] \rm \: m = \cfrac{6}{2 - 2} [/tex]

[tex]\rm \: m = \cfrac{6}{0} = \boxed{ \rm \: undefined}[/tex]

if an expression contains division by 0 , then It's undefined.

So, slope(m) = undefined.

After rolling a fair 20-sided die 200 times The observed or experimental probability of rolling a 20 was 25% what will happen to the probability of rolling a 20 if the dye is ruled 10,000 more times

Answers

Answer:

Step-by-step explanation:

The theoretical probability of getting a 20 in 1 throw is 1/20 = 5%.

The more times you roll the dye the closer the experimental probability moves to the theoretical.

So  the probability will get  less than 25% and get closer to the theoretical 5%.

If the die is rolled 10,000 more times, we can expect the experimental probability of rolling a 20 to be close to 500/10,000, which simplifies to 0.05 or 5%.

We have,

The probability of rolling a 20 on a fair 20-sided die is 1/20 or 0.05.

If the die is rolled 200 times and the observed probability of rolling a 20 is 25%,

We can calculate the number of times a 20 was actually rolled as follows:

Number of times a 20 was rolled

= Observed probability × Number of rolls

= 0.25 × 200

= 50

So, out of 200 rolls, 20 were rolled 50 times.

Now, if the die is rolled 10,000 more times, we can use the law of large numbers to expect the experimental probability of rolling a 20 to approach the true probability of 0.05.

The expected number of times a 20 will be rolled in 10,000 rolls is:

The expected number of times a 20 will be rolled

= Probability of rolling a 20 × Number of rolls

= 0.05 × 10,000

= 500

Therefore,

If the die is rolled 10,000 more times, we can expect the experimental probability of rolling a 20 to be close to 500/10,000, which simplifies to 0.05 or 5%.

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Please helppppppppppp

Answers

1/14 because it’s a 1/7th chance to get pink and it’s a 1/2 chance to flip the coin which equals 1/14

[tex]x^{2} +x = 12[/tex]
answer ?

Answers

Answer:

x = 4 and x = -3

Step-by-step explanation:

⇒ x² + x = 12

⇒ x² + x - 12 = 0

⇒ x² + 3x - 4x - 12 = 0

⇒ x(x + 3) - 4(x + 3) = 0

⇒ (x - 4)(x + 3) = 0

x = 4 and x = -3

Hey there!

x^2 + x = 12

SUBTRACT 12 to BOTH SIDES

x^2 + x - 12 = 12 - 12

SIMPLIFY IT!
x^2 + x - 12 = 0

SET the FACTORS to EQUAL to 0

x - 3 = 0 OR x + 4 = 0

SIMPLIFY IT!
x = 3 or x = -4


Therefore, the answer is:

x = 3 or x = -4


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Evaluate the difference quotient
f(x)-f(1)/X-1, where f(x)=X +5/x+1

Answers

Answer:

C) [tex]\displaystyle\frac{-2}{(x+1)}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{f(x)-f(1)}{x-1}\\ \\\frac{\frac{x+5}{x+1}-\frac{1+5}{1+1}}{x-1}\\ \\\frac{\frac{x+5}{x+1}-\frac{6}{2}}{x-1}\\\\\frac{\frac{2(x+5)}{2(x+1)}-\frac{6(x+1)}{2(x+1)}}{x-1}\\\\\frac{\frac{2(x+5)-6(x+1)}{2(x+1)}}{x-1}\\\\\frac{\frac{2x+10-6x-6}{2(x+1)}}{x-1}\\\\\frac{\frac{-4x+4}{2(x+1)}}{x-1}\\\\\frac{\frac{-4(x-1)}{2(x+1)}}{x-1}\\\\\frac{-4}{2(x+1)}\\ \\\frac{-2}{(x+1)}[/tex]

state the value of factorial 6 !
[tex] \\ [/tex]

ty! ._.

Answers

6*5*4*3*2*1 = 720

hope this helps!
Hello !

──────⊹⊱✫⊰⊹──────

What is the State the value of factorial 6 ?

Aɴsᴡeʀ :-

720

✔︎ Expʟaɴaᴛiᴏn :

Because we have to do first !

ɴ = ɴ × (ɴ - 1) × (ɴ – 2) × (ɴ – 3) = 6

So your factorial will be 6.

Oʀ, ʏᴏᴜ ᴄᴀɴ ᴅᴏ ɪs:-

6 = 6 × (6 -1) × (6 – 2) × (6 – 3) × (6 – 4) × 1

720.

Aɴᴅ, ʏᴏᴜ ᴄᴀɴ ᴅᴏ ɪs.

6 × 5 × 4 × 3 × 2 × 1

= 720

Thus, your factorial will be 6 is 720.

Hope It Helps! ~

Aɴsᴡeʀ :-

Sxɴɴʏsᴏᴜʟ
.



21 slices from 3 cakes = 84 slices from cakes equivalent rates

Answers

Answer:

12 cakes.

Step-by-step explanation:

There are 21/3 = 7 slices  from each cake.

84 / 7   = 12.

Helppp I need this asap

Answers

Answer:

[tex]x = 35[/tex]

Step-by-step explanation:

We can use Similar Triangles Ratios to solve for the missing side length. First setup your ratios:

[tex]\frac{42}{6} = \frac{x}{5}\\x = \frac{42}{6} \times 5\\x = 35[/tex]

Answer:

35

Step-by-step explanation:

The sides are in proportion.

[tex]\frac{AB}{PQ} =\frac{AC}{PR}[/tex]? / 5 = 42 / 6? = 5 × 7? = 35

33. Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
505 m² :519 m ²
505 m ²: 533 m ²
497 m ²: 519 m ²
497 m ²: 533 m ²

Answers

Answer: ⬇️⬇️⬇️⬇️

Lateral area = 505 m² ; Surface area =  519 m²


Hope I helped

Lateral area = Perimeter x height  

Lateral area = (2 + 7 + 7.28) x 31 = 16.28 x 31 = 505 m²

Surface area = 2(1/2 x 2 x 7) + 505  = 519 m²

Answer: Lateral area = 505 m² ; Surface area =  519 m²

Please help I put 50 points into this

Answers

Answer:

B,C,E

Step-by-step explanation:

Answer:

A, C, D

Step-by-step explanation:

A ray can have 2 endpoints

And because of that it can be named more than one way.

That means that  B&E are wrong

What is the area of the triangle Base is 6 ft height is 5 ft.

Answers

Answer:

Area of a triangle = 0.5 * base * height = 0.5 * 6 * 5 = 15 sq. ft

Answer:

Area = 0.5 * base * height

0.5 * 6 * 5 = 15

Area = 15 sq ft

Simplify: [tex]\sqrt{\frac{144}{25} }[/tex].

Answers

Answer:

[tex]\frac{12}{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{\frac{144}{25}}=\frac{\sqrt{144}}{\sqrt{25}}=\frac{12}{5}[/tex]

Given term:

[tex]\sqrt{\dfrac{144}{25} }[/tex]

This term can also be written as;

[tex]\implies \sqrt{\huge\text{(}\dfrac{144}{25} \huge\text{)}}[/tex]

Clearly, we can see that 144 and 25 are perfect squares. Then,

[tex]\implies\sqrt{\huge\text{(}\dfrac{12^{2} }{5^{2} } \huge\text{)}}[/tex]

According to an exponent property, (a²/b²) = (a/b)². Then,

[tex]\implies\sqrt{\huge\text{(}\dfrac{12}{5} \huge\text{)}^{2} }[/tex]

Since 12/5 is being squared inside the root, we can remove the squared symbol and take out 12/5 from the root. Then we get;

[tex]\implies\sqrt{\huge\text{(}\dfrac{12}{5} \huge\text{)}^{2} } \ = \ \dfrac{12}{5} \ = \ \boxed{2.4}[/tex]

Therefore, the simplified term is 2.4.

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An architect is designing a house. She wants the bedroom to have the dimensions of 10 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom?

Answers

The volume of the den ( 2240ft³ ) is 1960ft³ more than the volume of the bedroom ( 280ft³ ).

Hence, the den will not have double the volume of the bedroom.

Does the den have double the volume of the bedroom?

Given the dimensions in the question, the bedroom and the den takes the shape of rectangular prism.

Volume of rectangular prism is expressed as;

V = l × b × h

Given that;

Length of the bedroom l = 10ftBreadth of the bedroom B = 4ftHeight of the bedroom h = 7ftLength of the den = 2l = 2×10ft = 20ftBreadth of the den = 2B = 2×4ft = 8ftHeight of the den  = 2h = 2×7ft = 14ft

First we calculate the volume of the bedroom.

V = l × b × h

Vr = 10ft × 4ft × 7ft

Vr = 280ft³

Next, we determine the volume of the den

V = l × b × h

Vd = 20ft × 8ft × 14ft

Vd = 2240ft³

The volume of the den ( 2240ft³ ) is 1960ft³ more than the volume of the bedroom ( 280ft³ ).

Hence, the den will not have double the volume of the bedroom.

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A family just changed to a different mobile phone and data service provider. They now need take some time to transfer their content to new phones and learn the features of the new service. This is an example of a: Match the vocabulary words in the column on the left width their definitions in the column on the right. Propaganda is any type of writing that is written withthe intention of persuading people to support a cause. It isaimed at trying to influence an audience instead of givingout fair information. In fact, propaganda sometimes onlypresents some of the facts. Or it may be written in a waythat produces an emotional reaction. This is one way ofkeeping people from thinking sensibly.People or groups who use propaganda want topersuade others to agree with them. However, it is notalways negative. Think about signs that try to encouragepeople to vote or report crimes to police. These are alsoconsidered propaganda.Which of these answer choices best fits the examples of propaganda listed in the passage?A. commercials that tell people to complete the censusB. news stories that discuss both sides of every issueC. a company's dress code in an employee handbookD. a textbook chapter about the Revolutionary War The number 7 is a lucky number so you are more likely to win raffles with ticket number 7 than with a different number HELP ME PLEASE I NEED HELPPPPP The potential benefits a person or business gives up when making aneconomic decision is called theO A. profit marginB. capital investmentC. opportunity costO D. production possibility A 500-gram C6H12O6 solution has a concentration of 300 ppm. How many grams of C6H12O6(s) are in this solution? Mr. Diaz's birthday is August 5, 1961. The correct way to enter his date of birth into the database is a) 8/5/61. b) August 5, 1961. c) 08/05/1961. d) 8/5/1961 A triangle has sides with lengths of 31 feet, 72 feet, and 78 feet. Is it a right triangle?yesno Choose the equation for the relationship shown in the graph.A) y = x + 50B) y = x 50C) y = 50 - xD) x = 50 - y Find sin(b) in the triangle.A.4/3B.3/5C.3/4D.4/5 I need help with this asap pleaseee 1. Ava is struggling with her mental health and body imiage what should she do? This is hard pls help Please help, I am bad at Trig Alices backyard is a rectangular piece of property that is twice as long as it is wide. the total area of her yard is 1,000 m2. what is the approximate width of her backyard? a = lw 11.2 m 15.8 m 22.4 m 44.8 m help me pls, will mark brainliest!!!!!!!!!!!!! ) Your 2 year investment of $5,300 earns 2.9% and is compounded annually. What willyour total return be? how would building a road through the rainforest affect tourists What is the area of this figure? 28cm 26cm 36cm 18cm