lugos and paschal each wrote an equation for the line that passes through (-3,2) and (6,8) lugos says the equation is y=2/3x+4 and paschal says the equation is 2x-3y=-12. who is correct? why do you say so?

Answers

Answer 1

we have that
Step 1
find an equation for the line that passes through A (-3,2) and B (6,8)
m=(y2-y1)/(x2-x1)=(8-2)/(6+3)=6/9=2/3
y=mx+b
with point (6,8)
8=(2/3)*(6)+b-------------> 8=4+b------------> b=4
y=(2/3)x+4

the answer is
Lugo's equation is the correct one

Related Questions

Your class built a tepee to use in the school play. The tepee has a diameter of 16 feet and a height of 13.5 feet. What is the volume? Use 3.14 for pi. Round your answer to the nearest whole number. please help thank you:)

Answers

volume = PI x r^2 x H/3

3.14 x 8^2 x 13.5/3

3.14 x 64 x 4.5 = 904.32 cubic feet

how do I do this SOS

Answers

#2 is boron nitride

#3 is Dinitrogen trioxide
#4 is nitrogen triiodide
#5 is Sulfur hexafluoride

The three tools the Federal Reserve uses to enact monetary policy are:

A.) Determine whom banks loan money to
B.)setting the reserve rare
C.)setting the interest rate changed to commercial banks on loans from federal reserve
D.)The buying and selling of treasury bonds and other goverment-backed securities

Answers

Answer:

Option:

B , C and D are the correct options.

Step-by-step explanation:

The goals of monetary policy are:

To promote maximum employment, stable price and moderate long term interest rate.

The three tools the Federal Reserve uses to enact monetary policy are:

B.)setting the reserve rate.

C.)setting the interest rate changed to commercial banks on loans from federal reserve.

D.)The buying and selling of treasury bonds and other government-backed securities.

Juliette made the jewelry box shown below.The jewelry bow was shaped like a right rectangular prism

Answers

44 I think cause 8times5=40plus 4 equals 44

sorry it took me so long ive been offline for a while but your answer should be 160

What is the average weight of the kittens in the shelter?

Answers

You should add the weights of each kitten and then divide by the number of kittens. Ex. There are 5 kittens weighing 2, 1, 3, 2, and 2. So you would add those to get 10 and divide by the number of kittens which is 5 to get an average of 2.

Average weight of the kitten in the shelter = Total weight of the kittens / Number of kittens.

What is Average?

An average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.

Here,

Average weight of the kittens in the shelter = Total weight of all kitten/ Number of kittens.

Hence, the average weight of the kitten in the shelter = Total weight of all kitten/ Number of kittens.

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The first pentagon is dilated to form the second pentagon. Drag and drop the answer to correctly complete the statement. The scale factor is . A pentagon with a side length of 4. An arrow points to a larger pentagon with a side length of 5

Answers

To find the scale factor, we want to find the number that we would multiply 4 by to get 5. This gives us the equation 4x = 5. Solve by dividing both sides by 4:
4x/4 = 5/4
x = 1.25
The scale factor is 1.25.

Final answer:

To find the scale factor for the dilation of a pentagon from a side length of 4 to a side length of 5, divide the new dimension by the original dimension, resulting in a scale factor of 1.25.

Explanation:

The question asks about finding the scale factor used to dilate a pentagon from a side length of 4 to a side length of 5. To find the scale factor, we compare the new dimension to the original dimension. In this case, the side length of the second pentagon is 5, and the side length of the first pentagon is 4. To find the scale factor, we divide the new dimension by the original dimension, which is 5/4. Hence, the scale factor is 1.25.

To clarify, the scale factor is determined by dividing the new dimension (5) by the original dimension (4), yielding 5/4. Therefore, the scale factor is indeed 1.25. This indicates that each side of the pentagon has been multiplied by 1.25 to achieve the dilation from a side length of 4 to a side length of 5.

PLEASE HELP BRAINLIEST REWARDED

Lorraine writes the equation shown.

x^2 + y - 15 = 0

She wants to describe the equation using the term relation and the term function.

The equation represents:

A relation and a function
A relation but not a function
A function but not a relation
Neither a function or a relation

Answers

I think that it is a function but not a relation

A function is a special relation whose every input corresponds with a single output. To be a function, each input is allowed to pair with only one output element.

[tex] x^2+y-15=0\\ Adding \; 15 \; subtracting \; x^2\; on\; both\; sides\\ \\ y=-x^2+15 [/tex]

For a parabola equation like above, there is no restriction in the domain. For every x value there is a unique y value.

Conclusion:

The equation [tex] x^2+y-15=0 [/tex] is BOTH a function and a relation!

Solve the system of equations

Answers

x + 3y = 5
-x + 6y = 4
Add them together

9y = 9 = y = 1
______________________
x + 3(1) = 5
x + 3 = 5
x = 5 - 3 = 2
X = 2

The answer would be X = 2 and Y = 1

The answer is x=2 and y=1

a rectangular room is 1.7 times as long as it is wide and it's perimeter is 31 meters. find the dimension of the room

Answers

the answer for your problem is 52.7

What is the interquartile range of the data set? Enter the answer in the box. Key: 1|5 means 15

Answers

First of all we have to arrange the data in ascending order as shown below:

28, 40, 43, 43, 45, 50, 50

Total number of values = 7

Since the number of values is odd, the median will be the middle value i.e. 4th value which is 43. Median divides the data in two halves:

1st Half = 28, 40, 43
2nd Half = 45, 50, 50

Q1 or the First Quartile is the middle value of the lower or 1st half which is 40.
Q3 or the Third Quartile is the middle value of the upper or second half, which is 50.

IQR or the Inter Quartile Range is the difference of Q3 and Q1.

So, IQR= Q3 – Q1 = 50 – 40 = 10

Thus, IQR for the given data is 10

Answer:

The interquartile range(IQR) of the data set is:

Step-by-step explanation:

The data points according to the stem and leaf plot are as follows:

28 40 43 43 45 50 50

We know that the median of the data is the central tendency of the data and always lie in the middle of the data.

Here looking at the data we have:

Median= 43

Similarly the lower set of data is:

28 40 43

Hence, the first quartile or the lower quartile i.e. [tex]Q_1[/tex] is the median of the lower set of data.

Hence,

[tex]Q_1=40[/tex]

Similarly, the upper set of data is:

45 50 50

Hence, the upper quartile or the third quartile i.e. [tex]Q_3[/tex] is the median of the upper set of data.

Hence,

[tex]Q_3=50[/tex]

The interquartile range(IQR) is calculated as:

[tex]IQR=Q_3-Q_1\\\\IQR=50-40\\\\IQR=10[/tex]

Can a remainder in a division problem equal the divisor

Answers

No, the remainder in a division problem can never equal or be greater than the divisor.

A family charges a trip to the zoo on a credit card. The simple interest rate is 12%. The charges are paid after 3 months. What is the total amount paid for the trip? Round your answer to the nearest hundredth. tickets are 67.7, gas is 45.5, and food is 62.34

Answers

Unfortunately, you failed to include in here the amount that has to be paid by the family initially. However, as a general knowledge, the amount that has to be paid for a credit after n years in a simple interest can be calculated through the equation below,
F = P + Prn
where P is the initial value, r is the decimal equivalent of the given rate and n is the number of years. If the given simple interest rate is yearly then, the equation would become,
F = P x (1 + (0.12)(3/12)) = 1.03P

The contents of Reggie’s backpack weigh 20ib. Eight tenths of the weight is from his textbooks. How much do his textbooks weigh?

Answers

20* 8/10 = 16 ib
This is the easiest answer

A recipe calls for quarter of a cup of sugar to make a chocolate mug brownie.how many mugs of brownies can be made with 1 3/4 cups of sugar

Answers

u can make 7 mugs of brownies with 1 3/4 cups of sugar

Answer:

Step-by-step explanation:

1 chocolate mug brownie can be made with quarter (0.25) cup of sugar.

In total we have [tex]1\frac{3}{4}=1.75[/tex] cups of sugar. So, divide 1.75 by 0.25 to get the number of mugs of brownies we can make:

[tex]\frac{1.75}{0.25}=7[/tex]

Hence, we can make 7 mugs of brownies with [tex]1\frac{3}{4}[/tex] cups of sugar.

A club raised 96% pf its goal for a charity. The club raised $1056. What was the goal?

Answers

The club's goal was $1100.

1056÷96=11
11·4=44 (The 4 is from 100%-96%=4%)
1056+44+1100

Check:
1100·0.96=1056

[tex] \binom{ - 36}{ - 4} [/tex]

Answers

A negative number divided by another negative number gives you a positive number.

(-36)/(-4) = 36/4 = 9

The answer is 9.

two negatives divided by each other gives you a positive.
sooo, (-36) / (-4) gives you 9

The answer is 9

Write an expression that represents the difference of 32 and n, multiplied by 10

Answers

How about ...
.. (32 -n)*10

Sandra make a pizza she puts mushrooms on 2/8 of the pizza she adds green peppers to 5/8 of the pizza which topping cover more of the pizza

Answers

Green peppers because 5/8 is greater than 3/8

The price of bananas at a farm is $0.97 per pound. Which equation can be used to determine c, the total price of n pounds of bananas?

c = 0.97 − n
c = 0.97 + n
c = 0.97n
c equals 0.97 over n

Answers

it’s c because per means multiply

Answer:

The correct answer is C

Step-by-step explanation:

Formulate a system of equations to represent this situation, with f = the amount of money that Frank spent and r = the amount of money that Rachel spent. Frank and Rachel spent a total of $15.75. If Rachel spends twice as much money as Frank, how much money did they each spend?
A)
B)
C)
D)

Answers

Rachel and Frank spends $10.5 and $5.25 respectively.

It is given to us that

f is the amount of money that Frank spent and

r is the amount of money that Rachel spent.

Frank and Rachel together spent a total of $15.75.

Rachel spends twice as compare to Frank

The equation that represents this situation:

1. f + r = $15.75

2. r = 2f

Substituting r = 2f in equation 1.

f + r = 15.75

f + 2f = 15.75

3f = 15.75

f = 5.25

Substituting f = 5.25 in equation 2.

r = 2f

r = 2(5.25)

r = 10.5

Thus, Rachel spends $10.5 and Frank spends $5.25.

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Tracy is making blueberry muffins.she is using 4/4 cup of honey and 4/2 of floyr.Does Tracy use more honey or more flour?

Answers

more honey because 4/4 makes a whole which is one and which is greater than 4/2

The true statement is that Trace use more flour

How to determine the true statement ?

The given parameters are:

Honey = 4/4 cupFlour = 4/2 cups

Evaluate the quotients

Honey = 1 cup

Flour = 2 cups

2 is greater than 1

Hence, the true statement is that Trace use more flour

Answers

Hey there Smarty!

[tex]\boxed{what \ is \ a \ terminating \ decimal \ anyways?}[/tex]

A terminating decimal is a decimal that has a ending, not one that looks like this . . . . .

3.444444444444444^10

That above is not a terminating decimal. It does not end.

[tex]3/8 = \boxed{(0.375)} \ this \ is \ terminating \\ \\ 2/3= \ \boxed{0.6^-} \ \boxed{\boxed{\ this \ is \ not \ terminating}} \\ \\ 0.6 \ would \ be \ your \ answer![/tex]

There would be no need to check the other ones,we already found the answer.

Hope this helps you mate!

From the given fractions 3/8 is a terminating decimal.

What is a terminating decimal?

A decimal with an end digit is referred to as a terminating decimal. It is a decimal, which means that its digits are limited.

To solve the question,

Use options,

(A)

3/8

Divide 3 by 8, by mathematical property,

3.75

3.75 has an end digit which is 5,

Therefore, the given decimal is terminating decimal

In other option 2/3 and 4/6 gives repeating decimals 0.66666, similarly 7/9 is a repetitive decimal.

Hence, 3/8 is a terminating decimal.

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Louise is walking 12 miles to raise funds for a local cause. If she has completed
3/4 of the distance, how many miles has she walked?

A. 6
B. 9
C. 8
D. 7

Answers

12 x 3/4 = 36/4 = 9

she has walked 9 miles

Final answer:

Louise has walked 9 miles after completing 3/4 of her 12-mile fundraising walk. Thus, option b is correct.

Explanation:

The student's question asks how many miles Louise has walked if she has completed 3/4 of her 12-mile fundraising walk. To find the distance walked, multiply the total distance by the fraction completed. So, Louise has walked 3/4 of 12 miles, which is calculated as follows:

Multiply 3/4 by 12.

3/4 * 12 = 9.

Thus, Louise has walked 9 miles.

What is meant by the expression b1/3?

Answers

As an expression, there really isn't much meant by it alone. Unlike in an equation where an expression relates to another expression, this simply means 'One-third of b'.

how to write radical form in rational form

Answers

Answer:
5⁵/⁴

Explanation:
Before we begin, remember the following:
[tex] \sqrt[n]{x} [/tex] = x¹/ⁿ

[tex] \sqrt[n]{x^a} [/tex] = xᵃ/ⁿ

The root form is known as the radical form while the power form is the rational form

Now, for the given:
We want to convert from the radical (root) form to the rational (power) form.
The given is:
4th root of 5⁵

Applying the above rules, we will find that the rational form is:
5⁵/⁴

Hope this helps :)

Answer:

The Rational form of [tex]\sqrt[4]{5^5}[/tex] is [tex]5^{\frac{5}{4}}[/tex]

Step-by-step explanation:

Given : Radical form as [tex]\sqrt[4]{5^5}[/tex]

We have to write the given radical form in rational form.

Consider the given radical form as [tex]\sqrt[4]{5^5}[/tex]

We know the rational form of a root form is [tex]\sqrt[n]{x} =x^{\frac{1}{n}}[/tex]

Thus, The given expression has n = 4 and x = [tex]5^5[/tex]

[tex]\sqrt[4]{5^5}=(5^5)^{\frac{1}{4}}[/tex]

Also, Applying exponent rule, we have,

[tex](x^a)^b=x^ab[/tex]

Thus, [tex]5^{\frac{5}{4}}[/tex]

Thus, The Rational form of [tex]\sqrt[4]{5^5}[/tex] is [tex]5^{\frac{5}{4}}[/tex]

Use the rule to write the first five terms of the pattern rule add 10 subtract 5 first term 11

Answers

16, 21, 26, 31, 36
just add five to each previous number to make it easier

what is 8.6E-10 in standard form

Answers

8.6E-10 is 8.6 x 10^-10 in standard form. As 'E' represents '10^'

Hope it helped!

One-third of a number is 12.
Work out one-half of the number

Answers

since 1/3 of x is 12, it can also be expressed as x/3 = 12, and we can use multiplication to find x

12 x 3 = 36

1/2 of 36 is 18

Which is the slope of the line that passes through the points (2,10) and (5,8)?

Answers

The slope is -2/3. Hope this helps!

Y2-Y1/X2-X1
8-10/5-2=-2/3
Down 2 and 3 to the right

how long will it take you to drive 135 miles at a speed of 45 miles per hour

Answers

If you are going a constant speed the whole way through the trip it would take 3 hours to drive 135 miles at a speed of 45 m/h
___________________________________________________________

135 miles divided by 45 miles/hour = 3 miles

Answer: The required time taken to drive 135 miles is 3 hours.

Step-by-step explanation: We are given to find the time taken to drive 135 miles at a speed of 45 miles per hour.

We will be using the UNITARY method to solve the problem.

We have

Time taken to drive 45 miles = 1 hour.

So, time taken to drive 1 mile will be

[tex]\dfrac{1}{45}~\textup{hour}.[/tex]

Therefore, the time taken to drive 135 miles is given by

[tex]\dfrac{1}{45}\times135=3~\textup{hours}.[/tex]

Therefore, the required time taken to drive 135 miles is 3 hours.

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