Determine whether the following pair of equations having parallel or perpendicular lines or not: 4x - 6y = 12 and 6x + 4y = 12 AN

Answers

Answer 1

The pair of equations, 4x - 6y = 12 and 6x + 4y = 12, represents a pair of perpendicular lines.

To determine if two lines are parallel, we compare the slopes of the lines. The slope-intercept form of a line is y = mx + b, where m represents the slope.

Let's rewrite the equations in slope-intercept form:

Equation 1: 4x - 6y = 12

Rearranging the equation, we have:

-6y = -4x + 12

Dividing by -6, we get:

y = (2/3)x - 2

Equation 2: 6x + 4y = 12

Rearranging the equation, we have:

4y = -6x + 12

Dividing by 4, we get:

y = (-3/2)x + 3

Comparing the coefficients of x, we see that the slopes of both lines are (2/3) and (-3/2). Since the slopes are not equal, the lines are not parallel. Instead, they are perpendicular to each other.

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Related Questions

What is the slope of the line shown in the graph?

Answers

Answer:

1/2

Step-by-step explanation:

from point to point, you rise by one and run to the right by two

therefore, slope = 1/2

PLEASE HELP!!

I don’t know how to solve Law of Sines, it doesn’t make sense to me.

I’ll award the brainliest!

Answers

In ΔABC is an oblique triangle with sides a,b and c , then asinA=bsinB=csinC . To use the Law of Sines you need to know either two angles and one side of the triangle (AAS or ASA) or two sides and an angle opposite one of them (SSA).

help I will give brainiest if you do the last ones​

Answers

Can A can hold more than can B

CNNBC recently reported that the mean annual cost of auto insurance is 958 dollars. Assume the standard deviation is 144 dollars, and that the population is normally distributed. You will use a simple random sample of 99 auto insurance policies. Note: You should carefully round any intermediate values you calculate to 4 decimal places to match wamap's approach and calculations. Find the probability that a single randomly selected policy has a mean value between 934.8 and 965.2 dollars. P(934.8 < X < 965.2) = Enter your answer as a number accurate to 4 decimal places

Answers

Probability that a single randomly selected policy has a mean value between $934.8 and $965.2 is approximately 0.5819.

To find probability we can use the properties of the normal distribution.

Given,

Mean (μ) = $958

Standard deviation (σ) = $144

Sample size (n) = 99

We want to find the probability P(934.8 < X < 965.2).  X represents the mean value of a randomly selected policy.

Calculate z-score for the lower value.

z1 = (934.8 - μ) / (σ / sqrt(n))

Calculate z-score for the upper value.

z2 = (965.2 - μ) / (σ / sqrt(n))

Cumulative probability between the z-scores.

P(934.8 < X < 965.2) = P(z1 < Z < z2)

If P(Z < z1) = 0.2658. P(Z < z2) = 0.8477. The probability of interest would be.

P(934.8 < X < 965.2) = P(z1 < Z < z2) = P(Z < z2) - P(Z < z1) = 0.8477 - 0.2658 = 0.5819

Probability that a single randomly selected policy has a mean value between $934.8 and $965.2 is approximately 0.5819.

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The school Amina goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

Answers

Answer:

child = $14

senior = $8

Step-by-step explanation:

3s + c = 38

3s + 2c = 52

52 - 38 = 14

child = $14

3s + 14 = 38

3s = 24

divide by 3

senior = $8

How to find the arc length (geometry)

Answers

Answer:

94.2

Step-by-step explanation:

Arc length is basically circumference.

Circumference formula: 2πr

All we need is the radius.

Radius = r

15 x 2 = 30 (diameter)

Then we are going to multiply by pi.

Arc length = 30π OR 94.2

a boy has only dimes and quarters in his piggy bank. If he has 50 coins worth 7 dollars and 55 cents altogether, how many quarters does he have in his bank​

Answers

Answer:

30.2

Step-by-step explanation:

a qurter is 25 and there is 100 cents in a dollar so u do 755 divided by 25

Complete the table for the given rule. 1 Rule: y = x 4 х y 1 4 13 4 2 을​

Answers

Answer:What is the symbol at the end?

Step-by-step explanation:


Would you consider data on grades (of a particular class)
collected over two semesters to be cross-sectional or times series
data and why?

Answers

The data on grades (of a particular class) collected over two semesters would be considered as time series data.

Time series data refers to any set of data collected over time, where time acts as a variable in the data set. Time series data consists of repeated measurements of the same variable taken over regular intervals of time.

A time series is a collection of observations obtained by observing a single variable or a single data point over a certain period of time. Time series data are ordered sequentially and collected at evenly spaced intervals of time. In this question, the grades were collected over two semesters, which are considered a series of two data points that were collected over time. Hence, it is a time series data.

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The data on grades (of a particular class) collected over two semesters would be considered time series data whereas Cross-sectional data is a type of data that is collected at a particular point in time.

The data on grades (of a particular class) collected over two semesters would be considered time series data. This is because time series data is collected over time at regular intervals, and in this case, the data is collected over two semesters, which are specific periods of time.

Time series data is a type of data that is collected over time at regular intervals. This type of data is commonly used in various fields such as economics, finance, and statistics. Time series data is useful in identifying trends, seasonal patterns, and cycles within the data. It can also be used to predict future values based on the patterns that are observed within the data.

Cross-sectional data is a type of data that is collected at a particular point in time. This type of data is commonly used in surveys and opinion polls. Cross-sectional data is useful in identifying the characteristics of a particular group of people or entities at a particular point in time. It is also used to compare the characteristics of different groups of people or entities at the same point in time.

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Help me for more points right answer only

Answers

Answer:

slope- intercept form

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Someone help plz and make plz make sure it’s right? :)

Answers

40/50 = 4/5
ANSWER C
GOOD LUCK

Identify the volume the solid of revolution that is produced when
a rectangle with length 6 and width 3 is rotated around one of its
shorter sides.

Answers

Answer:

Step-by-step explanation:

Please see picture. Which statement must be true?

Answers

Choose C.

x^2 = a/b must be true.

Adrian can purchase an 11-pound item from several different sellers. Which is the best buy?
1. Buy online for $50 plus pay shipping and handling costs of $0.89 per pound.
2. Buy online for $57 plus pay shipping and handling costs of $0.49 per pound.
3. But at a local store where the price is $60 and use a $5-off coupon.
4. Buy at a local store where the item’s regular price is $58 and it is on sale for 10% off

Answers

Answer:

4. Buy at a local store where the item’s regular price is $58 and it is on sale for 10% off

Step-by-step explanation:

For the sake of someone needing help present time this is how you do it;

1st- 50 + (.89 x 11) = 59.79

2nd- 57 + (.49 x 11) = 62.39

3rd- 60 - 5 = 55

4th- 58 - 10% or 58 x .10 = 52.2: Lowest Answer

which of the following expressions are equivalent to -2/3? select all that apply


A. -1/9 x 6
B. -15 ÷ 10
C. 12 ÷ -18
D. -3/4 ÷ 1/2
E. -8/9 x 3/4

Answers

Answer:

A.

C.

E.

Step-by-step explanation:

A

-1/9×6=

-1/9×6/1= -6/9 = -2/3

B

-15 ÷ 10

-15/1 ÷ 10/1

-15/1 × 1/10 = -15/10 = -3/2

C

12 ÷ -18 =

12/1 ÷ -18/1 =

12/1 × -1/18 = -12/18 = -2/3

D

-3/4 ÷ 1/2 =

-3/4 × 2/1 = -6/4 = -3/2

E

-8/9 × 3/4 = -24/36 = -2/3

2. A cereal box is in the shape of a rectangular
prism. What is the volume of the cereal box?
Express your answer as a decimal rounded
to the nearest tenth if necessary.

Answers

Answer:

169.8 or 169 4/5

Step-by-step explanation:

Times all of the numbers together

The volume of a rectangular prism can be written as 168 cubic in

What is the volume of a rectangular prism?

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The volume of a rectangular prism=Length X Width X Height

WE are given the dimensions as;

length= 8 in

Width = 1 3/4 = 7/4

Height = 12 1/8 = 96/8 in

Thus, the volume of a rectangular prism can be written as:

8 x 7/4 x 96/8

= 168 cubic in

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true or false inequalities have many solutions and equations have one solution​

Answers

Answer:

Step-by-step explanation:

Like systems of equations, system of inequalities can have zero, one, or infinite solutions.

Answer:

Yes this is true..............................................................................................................................

52 )7,696 with reminder

Answers

it’s equals 148 with no reminder.

have a great day!

Find the perimeter of the polygon if
5 cm

6 cm

7 cm

P = ? Cm

Answers

Answer:

(2) is the answer for your question

Please someone help it confusing

Answers

1.false2.false3.true4.true5.true

I need this answered quickly!
Please and Thank you!

Answers

Answer:

A

Step-by-step explanation:

-0.2 translates to -2/10 and then simplifies to -1/5 so you would minus it from the bigger number which is 3/5 because its positive.

Some instructions for the time it takes to roast a turkey are: allow 20 minutes for every 450g
How long will it take to roast a turkey that weighs 6.3 kg?
Give your answer in hours and minutes.

please show work out <3

Answers

Answer:

4 hours and 40 minutes

Step-by-step explanation:

450g = kg

450g = 0.45 kg

We will use ratios:

[tex]\frac{20}{0.45} =\frac{x}{6.3} \\\\0.45x=126\\x=280[/tex]

280 mins =

4 hours and 40 minutes

4(60) + 40

240 + 40

280

Worth five points! it doesnt tell me if what answer is right but if i get 75% or up i will mark the first person who answered with an actual answer brainliest and i don't lie about brainliest!! Please no nonsense answers I just want help :(
What is m∠U?
A. 17
B. 29
C. 46
D. 134

Answers

Answer: 17°

Explanation: First find angle TVU. Line TV is straight line so 180°. Subtract 180 from 46 to find angle TVU. Angle TVU = 134.

All angles of a triangle adds up to 180. Find angle U by subtracting 180 by angle TVU and angle T. 180 - 29 - 134 = 17

Answer:

D.46

Step-by-step explanation:

180-46-29= 105

angle V, 46 degree, and T= equal 180

105= V

t= 29

v+t+u= must equal 180 because all triangle equal 180 degrees

105+29+u=180

u=-105-29+180

u=46

The diameter of a semicircle is 10 meters. What is the perimeter of the semicircle, in meters? Round your answer to the nearest tenth.

Answers

Answer:

25.7 m

Step-by-step explanation:

The formula for the circumference of a circle is C = 2(pi)(r), where r is the radius, which in turn is half the diameter.  Thus, the formula for the circumference is C = (d)(pi).  The perimeter of a semicircle is half that, or

C = (pi)(r), which here is (3.14)(5 m) = 15.7 m.  Finally, the total perimeter is the sum of this 15.7 m and the 10 m diameter of the circle:

P = 15.7 m + 10 m = 25.7 m

Write the number for thirteen million thirty thousand

Answers

Answer:

13,030,000

Step-by-step explanation:

write first the value for thirteen millions,

13,000,000 and then also put down the thirty thousand which is; 30,000. afterwards add the two

13 000 000

+ 30 000

=. 13 030 000

Answer:

13,030,000

Step-by-step explanation:

13,000,000

+ 30,000

13,030,000

Suppose there are 8 boys and 7 girls in a classroom. If one student is chosen at random to run a errand. What is the probability that the student will be a girl?

Answers

Answer:

47%

Step-by-step explanation:

There are 15 total students, so find the percentage of girls out of the total students: 7/15= .466, which is about 47%. To double check, you can do the boys and make sure it adds to 100%. 8/15= .533, which is about 53%. 47+53=100. So girls are 47% and boys are 53%

can someone please answer these
*will give brainliest if you answer all* AND NO LINK

Answers

Answer:

Rectangular Prism → h = 2in

                                    B = 143in

                                    P = 48in

Surface Area = 382in²

Lateral Surface Area = 96in²

Triangular Prismh = 7in

                                B = 20in

                                P = 27in

Surface Area = 229in²

Lateral Surface Area = 189in²

Triangular Prism h = 10in

                                B = 120in

                                P = 60in

Surface Area = 840in²

Lateral Surface Area = 600in²

Step-by-step explanation:

Formulas: Total Surface Area = 2B = Ph

                  a²+b²=c²

                  Area = [tex]\frac{1}{2}[/tex]bh

                  Lateral Area = Ph

PLUG NUMBERS INTO FORMULA. (I'm too lazy to type it all out lol)

Decide whether the composite functions, fog and gof, are equal to x. f(x) = * 1,5 g(x) = 2x - 5 - +5 2 O No, no O Yes, yes O Yes, no O No, yes.

Answers

No, neither fog nor gof is equal to x. The expressions fog(x) = 2/5x - 1 and gof(x) = 2/5x - 5 have different constant terms, indicating that they are not equal to x. The correct option is O (No, no.)

To determine whether the composite functions, fog and gof, are equal to x, we need to evaluate them using the functions f(x) = 1/5x and g(x) = 2x - 5.

First, let's calculate fog:

fog(x) = f(g(x)) = f(2x - 5) = 1/5(2x - 5) = 2/5x - 1

Next, let's calculate gof:

gof(x) = g(f(x)) = g(1/5x) = 2(1/5x) - 5 = 2/5x - 5

Comparing fog and gof, we can see that they are not equal to x. Specifically, fog(x) = 2/5x - 1 and gof(x) = 2/5x - 5.

Therefore, the correct option is "No, no" as neither fog nor gof is equal to x.

Alternatively, if we simplify fog and gof as a single expression, we have fog(x) = 2/5x - 1 and gof(x) = 2/5x - 5. Since both expressions have different constant terms, they cannot be equal to x.

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Please help me on this question if you would want brianleist!! Tank yah!! ^^

Answers

Answer: And the answer is b 6,7

Step-by-step explanation:

Did you meant “Please help me on this question if you would want brainliest!! Thank you!!”

Find the area of the following figure below. Use 3.14 for pie

Answers

Answer: 113.1 i think sorry im bad at pi U_U

Step-by-step explanation:

Answer:

113.04

Step-by-step explanation:

Where rinding area so do the formula

A = Pi×r²

A = 3.14×36

A= 113.04

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I need some help with this question. Can someone help me pls??? Find the lateral area of this squarebased pyramid.10ft10 ft[ ? jft? the force keeping the moon in its orbit round the earth is inversely proportional to the square of the distance from the earth.if F =610^5KN and R =810^8.find the equation connecting Fand R. Write an email to your uncle and aunt. Tell them what has happened and give them directions Let C41 be the graph with vertices {0, 1,..., 40} and edges (0-1), (1-2),..., (3910), (100), and let K41 be the complete graph on the same set of 41 vertices. You may answer the following questions with formulas involving exponents, binomial coefficients, and factorials. (a) How many edges are there in K41? (b) How many isomorphisms are there from K41 to K41? (c) How many isomorphisms are there from C41 to C41? (d) What is the chromatic number (K41)? (e) What is the chromatic number (C41)? (f) How many edges are there in a spanning tree of K41? (g) A graph is created by adding a single edge between nonadjacent vertices of a tree with 41 vertices. What is the largest number of cycles the graph might have? (h) What is the smallest number of leaves possible in a spanning tree of K41? i) What is the largest number of leaves possible in a in a spanning tree of K41? G) How many spanning trees does C41 have? 2) A new chemical plant will be built and requires the following capital investments (all figures are in RM million): Table 1 Cost of land, L- RM 7.0 Total fixed capital investment, FCIL RM 140.0 Fixed capital investment during year 1= RM 70.0 Fixed capital investment during year 2 = RM 70.0 Plant start-up at end of year 2 Working capital 20% of FCIL (0.20 )* (RM140) = RM 28.0 at end of year 2 The sales revenues and costs of manufacturing are given below: Yearly sales revenue (after start-up), R = RM 70.0 per year Cost of manufacturing excluding depreciation allowance (after start-up), COMd = RM 30.0 per year Taxation rate, t = 40% Salvage value of plant, S- RM 10.0 Depreciation use 5-year MACRS Assume a project life of 10 years. Using the template cash flow (Table 1), calculate each non-discounted profitability criteria given in this section for this plant. Assume a discount rate of 0.15-(15% p.a.) i. Cumulative Cash Position (CCP) ii. 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How does Morrie know his health is failing?A: he sees how far he can walkB: he sees how much he can eatC: he times how long he exhalesD: he can no longer talk to MitchWhy was Mitch out of work?A: he went on vacationB: his union went on strikeC: he got firedD: he refused to do any writing relationship between temperature and flux in a carrier ionophore What should you do first when you simplify the expression below? (5+4)x3 please help due in a few hours! 13. Gas A and gas B (both unreactive) are allowed to mix. The total pressure is found to be 3.50 atm. f gas Bwas measured initially at 1.25 atm, what is the partial pressure of gas A?a 4.75 atmb. -2.25 atmc.) 2.25 atmd 1.25 atm SPANISHHHH I have no clue how to do this What was one major challenge for the Cherokee once they migrated to the Indian Territory?(PLEASE NO LINKS)A)Cherokee had to live in prison camps.B) It was difficult to grow crops.C) Hosting religious ceremonies was not allowed.D) Resentment from Native Americans already living there was intense. A ChE company plans to acquire a new equipment at a cost of P150,000 to increase their efficiency. The MARR =10%. Based on analysis, AOC will amount to P31,000 while their annual revenue will amount to P50,000. The salvagevalue will be P3,000 at the end of 15 years of economic life, and will be depreciated by P200 as the years increasefrom 15-year period7. Which of these conditions will indicate a decision reversal? (2 pts.)A. Increase the MARR by 5.2172%.B. Decrease the MARR to 9.4434%.C. Increase the economic life by one more year.D. Simultaneously increase the MARR by 1% while decreasing the economic life by 1 year. An object was thrown from rest upward with an initial velocity of 10m/s with time frame of 6s find the distance of the object from it's resting point Expound on this quote. "The economy may easily slow down or expand in the next couple years. The reason is that there are a few optimistic factors, but there also are a few pessimistic ones. Among the positive variables are first, expansionary monetary policy, extremely strong fiscal policy with the stimulus bills passed in the last few years and a lot of savings, which have not been spent due to the virus. However, there are three key weaknesses. One is the remaining incidence of the virus and the corollary that people are afraid to spend by going out. The second is the woeful investment in infrastructure of all sorts, which has occurred in the last four decades. The third is the increase in the last four decades in inequality of income and wealth, which makes the masses, poor and most middle-income people, lose substantial buying power. what is the area of 1 1/5 width and 1 1/3 length