Use slopes and y-intercepts to determine if the lines 6x+y=−1 and −2x−5y=1 are parallel.

Answers

Answer 1

Answer:

The two lines are not parallel.

Step-by-step explanation:

Every linear equation follows this structure:

y = mx + b

y is the y value

x is the x value

m is the gradient/slope of the line

b (or sometimes c) is the y-intercept of the line

Firstly, we have to get the y term on one side by itself.

6x + y = -1

-6x        -6x

y = -6x - 1

-2x -5y = 1

+2x         +2x

-5y = 2x + 1

Secondly, we make it so the y term is just the y value.

The first equation is already like this, so we don't need to do anything to that.

-5y = 2x + 1

÷ -5  ÷ -5

y = (2x + 1) / -5

This can be expanded and simplified to:

y = -2/5x - 1/5

Thirdly, we have to compare the slopes and y-intercepts.

y = -6x - 1

y = 2/5x - 1/5

If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.


Related Questions

find the area of this parallelogram. no links just give the answer plz.

Answers

Answer:98

Step-by-step explanation:

because it is a rectangle at a slight angle so base * height

Brainlest plz

PLEASE HELP ME FAST!!!!!!!!!!!!

Answers

Answer:

c

Step-by-step explanation:

What is the difference of
7/8 − 1/3

Answers

Answer:

[tex]13 \div 24[/tex]

13/24

Step-by-step explanation:

[tex]7 \div 8 - 1 \div 3[/tex]

[tex]taking \: the \: lcm \: of \: 8 \: and \: 3[/tex]

[tex]21 - 8 \div 24[/tex]

[tex]13 \div 24[/tex]

if it helps don't forget to like and mark me

If a family has four children, determine the probability that exactly two of the
children are girls

Answers

Answer:

the porbality is 50%, since if we make a diagram a circle and we split it in two the possibility is 50% since the circle is 100%

Step-by-step explanation:

What is the median of this data set?

Help!!!!!

Answers

Answer:

60

Step-by-step explanation:

Maria is ordering comic books online. The equation y=8x + 4 represents the total cost in dollars, y, including shipping, for ordering x number of comic books. If the total cost including shipping is $60, how many comic books is Maria ordering? Use the graph to help you determine the answer.

Answers

Answer:

x will be equal to 7 comic books

The number of books Maria is ordering is 7 books

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of comic books Maria orders be = x

The cost of x books is = y

Now , the equation for the total cost be

y = 8x + 4   be equation (1)

Now , the total cost of all the books be = $ 60

So , substituting the value of y as 60 in equation (1) , we get

60 = 8x + 4

Subtracting 4 on both sides of the equation , we get

8x = 56

Divide by 8 on both sides of the equation , we get

x = 7 books

Therefore , the value of x is 7

Hence , The number of books Maria is ordering is 7 books

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Prisha is buying sandwiches at a café for herself and her daughter. If she buys 2 tuna sandwiches, the cost will be $14. If she buys 1 tuna sandwich and 1 chicken sandwich, the cost will be $16. How much will the cost be if she buys 2 chicken sandwiches?

Answers

Answer:

18$

Step-by-step explanation:

2 tuna sandwiches= 14$

1 tuna sandwich= 14÷2 = 7$

1 tuna sandwich + 1 chicken sandwich = 16$

7$ +1 cs= 16$

1 chicken sandwich = 16$- 7$

1 chicken sandwich = 9$

2 chicken sandwiches = 9x2 = 18$

if the square is directly proportional to w and z =4 when w =8​

Answers

Answer:

when you calculate the value of w is z= 5

Step-by-step explanation:

A circle is centered on point B. Points A, C and D lie on its circumference.
If ZADC measures 62°, what does ZABC measure?

Answers

Answer:

122

Step-by-step explanation:

61 x 2 = 122 hope this helps:)

Your weekly allowance is $15. You spent 30% How much did you spend?

Answers

Answer:

You would have spent $4.50

Step-by-step explanation: Divide 100 by 30 and multiply to 15. So it will look like: 30/100*15= $4.50. I hope this helps

Can someone please help me with this question

Answers

Answer:

volume= 186ft

Step-by-step explanation:

Using the distributive property, what would be the expression (I DONT NEED ANSWER) 1/4(8 + x + 4).

Answers

Answer:x/4+3

Step-by-step explanation:

8/1×1/4=8/4=2

X/1×1/4=x/4

4/1×1/4=1

Answer:

2 + [tex]\frac{1}{4} x[/tex] + 1

Step-by-step explanation:

) Study cited that the calcium levels in men and women ages 70 years or older are summarized that sample size of 55 men with mean 785 and standard deviation 489 and sample size of 40 women with mean 670 and standard deviation of 419, what is the probability of obtaining a difference between sample means of 110 mg or more?

Answers

Answer:

0.5188 = 51.88% probability of obtaining a difference between sample means of 110 mg or more

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution, the central limit theorem and difference between normal variables.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal sample means:

When we subtract two distribution of the sample means, which are normal, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of standard errors squared.

Sample size of 55 men with mean 785 and standard deviation 489

This means that:

[tex]\mu_A = 785[/tex]

[tex]s_A = \frac{489}{\sqrt{55}} = 65.9367[/tex]

Sample size of 40 women with mean 670 and standard deviation of 419

This means that:

[tex]\mu_B = 670[/tex]

[tex]s_B = \frac{419}{\sqrt{40}} = 66.2497[/tex]

Difference between sample means:

The mean and the standard deviation are, respectively:

[tex]\mu = \mu_A - \mu_B = 785 - 670 = 115[/tex]

[tex]\sigma = \sqrt{s_A^2+s_B^2} = \sqrt{65.9367^2+66.2497^2} = 93.47[/tex]

What is the probability of obtaining a difference between sample means of 110 mg or more?

This is 1 subtracted by the pvalue of Z when X = 110. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{110 - 115}{93.47}[/tex]

[tex]Z = -0.053[/tex]

[tex]Z = -0.053[/tex] has a pvalue of 0.4812.

1 - 0.4812 = 0.5188

0.5188 = 51.88% probability of obtaining a difference between sample means of 110 mg or more

Two numbers total 58 and have a difference of 8 . Find the two numbers.

Answers

Answer:

x = 33 , y = 25

Here's your solution

=> let both number be x and y

=> so, x + y = 58

=> x - y = 8

=> solving both equation { add both }

=> 2x = 66

=> x = 33

=> now putting value of x in equation

=> 33 + y = 58

=> y = 58 - 33

=> y = 25

hope it helps

Find: AABCD in square unit.

Answers

Answer:

in triangle ACD

<D =<B=90° inscribed angle from the diameter is 90°

base AC=2×OA=2×15=30unit

perpendicular =CD=12unit

area of triangle ACD

=1/2 base×perpendicular=1/2×30×12=180unit²

In triangle ABC

base=AC=30 unit

perpendicular=BC=18unit

area of traingle ABC =

1/2 base×perpendicular=1/2×30×18=270unit²

Area of quadrilateral =area of traingle [ABC+ACD]

=180+270=450 square unit ans..

. Three employees each clocked a different number of hours worked this week.
Employee Hours Worked Total Earned (in dollars)
A 35 $420
B 22 $242
C 16 $216
Which employee has the highest earnings per hour?
A) Employee A
B) Employee B
C) Employee C

Answers

Answer:

C IS THE ANSWER

C im pretty sure is the answer

In a school 156 student passed Geography or History There were 75 student who passed in both subject If 9 more passed Geography than History Find how many were taking each subject​

Answers

Answer:I’m not sure but I thinks it’s b might be wrong

Step-by-step explanation:

The difference between two positive integers is 4. If the smaller is added to the square of the larger, the sum is 52. Find the integers.

Answers

Answer:

The integers are 7 and 3

Step-by-step explanation:

if you put x as smaller number and y as bigger number you can write two equations:

x+y^2=52 and y-4=x

In the first polynomial, y can either equal 7 or -8, but the number has to be positive, so it's 7

y-4 to get x, plug 7 in and you get x=3

y=7 and x=3

Answer:

7 and 3

Step-by-step explanation:

We will let x equal the larger one

y will be the smaller one

We can write the two equations

x-y=4

y+x²=52

We will solve this through substitution

we will take the first equation and add y to moth sides

x=4+y

we then substitute this into our second equation

y+(4+y)²=52

distribute the square

y+8y+y²+16=52

y²+9y-36=0

Factor this

(y-3)(y+12)=0

Which means that y is either 3 or -12 but because it said that both numbers are positive we can reject the negative 12 (which means that y is 3)

Plug in y=3 into our first equation

x-3=4

x=7

In the figure below, m2 1=(x-12)° and mZ2 =5xº.
Find the angle measures.

Answers

Answer:

15 165

Step-by-step explanation:

m1 + m2 = 180

x-18 +5x = 180

6x = 198

x = 33

m1 = 15

m2 = 165

A density graph for all of the possible temperatures from 60 degrees to 160 degrees can be used to find which of the following?

A.The probability of a temperature from 30 degrees to 120 degrees
B.The probability of a temperature from 90 degrees to 180 degrees
C.The probability of a temperature from 30 degrees to 90 degrees
D.The probability of a temperature from 90 degrees to 120 degrees

Answers

Answer: 90 degrees to 120

Step-by-step explanation:

The probability of a temperature from 90 degrees to 120 degrees.

What is Probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Experiment: A trial or an operation conducted to produce an outcome is called an experiment.

Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.

Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).

Trial: A trial denotes doing a random experiment.

Given:

Temperatures from 60 degrees to 160 degrees.

As, per the situation the probability will lie between 60 degree to 160 degree.

Hence, The probability of a temperature from 90 degrees to 120 degrees.

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What is the mean absolute deviation of the following set of data?
4,6,12,8,10,10,7,8

Answers

The mean is 8.125 but there is not 2 sets of data

what is the answer to this?

Answers

Answer:

i can only say that you should use this forumla, the sins law

sin(a)/A = sin(b)/B = sin(c)/C

Step-by-step explanation:

Child Health and Development Studies (CHDS) has been collecting data about expectant mothers in Oakland, CA since 1959. One of the measurements taken by CHDS is the weight increase (in pounds) for expectant mothers in the second trimester. In a fictitious study, suppose that CHDS finds the average weight increase in the second trimester is 14 pounds. Suppose also that, in 2015, a random sample of 45 expectant mothers have mean weight increase of 16.3 pounds in the second trimester, with a standard deviation of 5.9 pounds. A hypothesis test is done to see if there is evidence that weight increase in the second trimester is greater than 14 pounds. Find the p -value for the hypothesis test. The p -value should be rounded to 4 decimal places.

Answers

Answer:

0.9955

Step-by-step explanation:

Given :

Mean weight increase , μ = 14

Sample mean weight increase , xbar = 16.3

Standard deviation, s = 5.9

Sample size, n = 45

Hypothesis :

H0 : μ = 14

H1 : μ > 14

The test statistic : (xbar - μ) ÷ (s/sqrt(n))

Test statistic = (16.3 - 14) ÷ (5.9/sqrt(45))

Test statistic = 2.3 / 0.8795200

Test statistic = 2.615

The Pvalue :

P(Z < 2.615) = 0.99554

Hence, pvalue = 0.9955 (4 decimal places).

The numbers of licensed drivers in four samples taken from a population of
students are shown in the table below. Which of the following choices is most
likely closest to the percentage of students in the population who are
licensed drivers?
Sample Size Number of Licensed Drivers
25
7
50
12
75
15
100
16
O A. 16%
O B. 20%
ОООО
C. 24%
O D. 28%

Answers

Answer:

The answer is 16% I just took the test

Step-by-step explanation:

Mohamed spent $40 buying three pizzas do you order the wings roommates. Each pizza cost twice as much as the wings +1 dollar. What does one order of wings cost

Answers

Answer:

26

Step-by-step explanation:

2cosθ−2=0
please type here and not put in a file

Answers

Answer:

Step-by-step explanation:

You want the  value of theta, I take it.  Add 2 to both sides

2cos(theta) = 2                            Divide by 2

2cos(theta)/2 = 2/2

cos(theta) = 1

So theta = 0 degrees.

So 0,360 .... n*360 is the general solution.

Use the inequalities to answer the following question
Inequality 1: 2x + 7 < -3
Inequality 2: x – 8 + 3x < -4
Which of the following values make both inequalities TRUE? Select all that apply.

A.) 12

B.) 325

C.) –10

D.) 2/3

E.) –8.25

F.) -15/2

G.)–5

Answers

Answer:

C, E, and F

Explanation:

There are two ways to answer this question. First, you could simply input each answer into both equations to see which one works but that would take quite a long time.

A better way is to simply solve each equation for x.

You could rewrite

2x + 7 < -3

as

2x + 7 = -3

and solve:

Subtract 7 from both sides

[tex](2x + 7) -7 = (-3) - 7\\2x = -10[/tex]

Now divide both sides by 2

[tex]\frac{2x}{2} = \frac{-10}{2}\\x = -5[/tex]

Now we can simply replace the equals sign with the inequality

x < -5

Where you can run into trouble is if you have to multiply or divide by a negative number across the equation, you must flip the inequality sign. It's best to leave it there to remind you, but I switched it out just to show that it's no different than a typical algebraic equation.

Now, we know that x can be any value less than -5. Let's find out the same thing for the second equation:

[tex]x - 8 + 3x < -4\\(x + 3x) -8 < -4\\4x - 8 < -4\\(4x - 8) + 8 < (-4) + 8\\4x < 4\\\frac{4x}{4} < \frac{4}{4}\\x < 1[/tex]

Now we know that x must be less than 1 for the second equation. So, now we can choose the answers that are both less than -5 and less than 1.

These answers are:

C. -10

E. -8.24

and

F. -15/2 which is -7.5

NOTE: -5 is equal to but not less than -5 so G is not included.

1/3 (4 ∙ 3) + 23
I need help

Answers

Answer:

27

But tell me the exact question it has on there

Step-by-step explanation:

What is 3 + 4 1/3
Plz help I really would appreciate it :D

Answers

Answer:

7 1/3

Step-by-step explanation:

Add the whole numbers in the equation:

3+4=7

This will get you 7 1/3

for triangle ABC with sides a,b and c the law of cosines states
c^2=
in which of the following cases must the law of cosines be used to solve a triangle?
ASA SSS SAS SSA

Answers

Option C is correct. The law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)

For a triangle, ABC with sides a, b, and c respectively, the law of cosines is used on such a triangle if there is a presence of an angle between any two sides.

For example, if angle C is between the sides a and b, the equivalent cosine rule will be expressed as:

[tex]c^2 = a^2 + b^2 + 2ab cos C[/tex]

Hence the law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)

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soooo stupld people couldnt answer my last question and took points- im doing this again (ACTUALLY ANSWER IT-)Also referred to as an "opioids," this is a classification of drug that affects mood or behavior and is often sold for nonmedical purposes, especially illegal ones.Example: morphine, codeine, heroinwhat is the thing- Which of the following expressions is this one equivalent to?(x4 2x3 x+2) / (x3 - 1)A. X-2O B. x2-1O c. x2+x+1O D. x2 + 3x + 2 DNA forms two strands. One of the strands of a piece of a DNA molecule has the bases ATA. Which bases does the other strand have?1) CAC2) GTG3) ATA4) TAT IM IN A HURRY PLEASE BE QUICK Quayer?A. harsB. harC. hagasD. hicisteEs bueno que ustedes (blank) espanolA. aprendenB. aprendisteC. aprendabaD. aprendanYo que t, (blank) loahora.A. hiciera B. haraC. hiceD. haras We saw green trees in the scenery.a. Alliterationb. Assonancec. Hyperboled. Rhyme PLEASE HELP SOLVE BY GRAPHING SHOW YOUR WORK PLS help due in 1 day!!!!!!!!!Reread the poem and focus on the details and images that tell what people do in the skyscraper at different times of day.Write a few sentences describing what happens in the building over the course of a day. Be sure to conclude by telling whether and how a skyscrapers day is similar to a day in the life of a person. how does the growth affect you now? Need help with this please no spam A rectangular prism has a width of 8inches a length of 15inches and a height of 6inches what is the volume ofprism please help !! urgent ! :( the square below is being reduced by a scale factor of one-third. what is the perimeter of the new drawing Where are Phoenician words found? A) Greek literature B) Latin literature C) Hebrew writings D) all of the above Which is a negative effect of social media on peer relationships? possibilities of finding entertainmentpossibilities of learning new informationpossibilities of feeling bad about oneselfpossibilities of becoming aware of others lifestyles Is a mixture with the same composition throughout A. Zara is learning about surface area and volume in math class. She begins to notice that she can apply this geometry in everyday life. When her mom makes a jelly sandwich for her lunch, Zara notices it is similar to a rectangular prism and decides to measure its dimensions. She measures the length as 13 cm, the width as 10.8 cm, and the height as 3 cm, as shown below. What is the volume of Zara's sandwich? Show your work. B. What is the surface area of Zara's sandwich? Show your work. C. Zara cuts her sandwich in half down the middle, dividing it into two equal pieces. She then stacks one half of the sandwich on top of the other, as shown below. y varies directly as x if y is 2 when x is 8 then the constant of variation is 1/4a.trueb.false Use the distributive property to expand (simplify): 5(12mu - 7v) Name three benefits of keeping plants at home. Roger decides to buy a new printer. He wants a printer which prints the most pages per minute (ppm). Printer A can print up to 33 pages per minute, which can be modeled with the equation p=33m where p represents the number of pages and m represents the number of minutes passed. The rate at which the second printer functions is shown in the table.Which printer should Roger choose, and how many more pages a minute will he be able to print?Printer A; 5 more pages per minutePrinter A; 5 more pages per minutePrinter B; 2 more pages per minutePrinter B; 2 more pages per minutePrinter B; 5 more pages per minutePrinter B; 5 more pages per minuteIt does not matter; both printers print at the same rate.It does not matter; both printers print at the same rate.