Marlee has to find the point that divides the line segment between the points P(-6, 10) and R(2, -4) exactly in half. Marlee states: "the answer is M(-2, 3). Since a midpoint divides a line segment into 2 equal parts, I used the midpoint formula." Is this a logical argument?

Please choose one of these choices.:

A. Yes; using the midpoint formula will determine the middle point of a line segment.
B. No; she should have used the distance formula.
C. No; she should have used the quadratic formula.
D. No; she should have used the slope-intercept formula y = mx + b.

Answers

Answer 1

Answer:

A.

Step-by-step explanation:

If you use the points P(-6,10) and R(2,-4) and put them it the midpoint formula you would get (-2,3) therefore it would be logical to use it


Related Questions

Tell whether the set of ordered pairs {(1, 2), (4, 10), (7, 17), (10, 22)} satisfies a linear function Explain.​

Answers

Answer is A

No; there is no constant change in x that corresponds to a constant change in y.

Luoa is not easy , I know that for a fact.

The slope of the line is not constant hence it does no satisfies the condition of a straight line therefore non-linear.

What is an ordered pair?

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x,y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given a set of ordered pairs {(1, 2), (4, 10), (7, 17), (10, 22)}.

The first pair is y = 2x.

The second pair is 4y = 10x ⇒ y = (10/4)x ⇒ y = (5/2)x.

So, we can conclude that the slope of the line is not constant hence it does no satisfies the condition of a straight line therefore non-linear.

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The sides of a triangle are in the ratio 4:4:3.What kind of triangle is it

Answers

Answer:

Isosceles triangle. An Isosceles triangle is a triangle that has 2 equal sides and 2 equal angles

Step-by-step explanation:

help.......................................................

Answers

Answer:

Down here ↓↓↓↓↓↓

Step-by-step explanation:

Anything below 1 is a reduce

Anything above 1 is an enlarge

Anything equal to 1 is a preserve

1. Reduce, 0.75 < 1

2. Reduce,  4/5 < 1

3. Enlarge,  4.2 > 1

4. Preserve, 8/8 = 1

5. Enlarge, 7/2 > 1

6. Preserve, 1 = 1

7. Reduce, 0.1 < 1

8. Enlarge, 1 2/3 > 1

9. Enlarge, 12 > 1

-Chetan K

help help help help Please ​

Answers

Answer:

It rises -4 and runs 6

Step-by-step explanation:

So the slope is -4/6

HELP PLEASEE!!!

In Asha's science experiment, her bacteria are dying at a constant rate of $600$ an hour. If she drew a graph of the number of bacteria in her culture where $x$ represented the time in minutes since the start of the experiment and $y$ represented the number of bacteria remaining in the colony, her graph would be a line. What would be the slope of this line?

Answers

Answer:

-10

Step-by-step explanation:

The rate of change is also known as the slope of the function thus the slope will be -600.

What is the slope?

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.

As per the given,

Bacteria are dying at a constant rate of $600$ an hour.

The rate of change = -600/hour

Slope = y/x = number of bacteria change/time taken

If the graph is a straight line then it will remain constant.

Slope = -600

Hence "The rate of change is also known as the slope of the function thus the slope will be -600".

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Passes through (2, 3) at a gradient of 2

Answers

Answer:

y = 2x-1

Step-by-step explanation:

I'm guessing gradient of 2 means slope of 2

if line passes through (2,3) and has a slope of 2, we can use the slope intercept equation

slope-intercept (y=mx+b)

m is the slope and b is the y-intercept (which we are trying to find)

so far, we have a point and a slope so we can fill in x,y, and m

(3) = (2)(2) + b

3 = 4 + b

3-4 = 4-4 + b (to undo addition, you use subtraction so I minus 4 from each side)

-1 = b

we found b so we just take the (2,3) out of the equation substitute the x,y back into the equation

y = 2x - 1

A certificate of deposit with principal $150 earns 4% annual interest for 2 years. Select all the options that would earn the same amount of interest.
$300 at 2% for 2 years

$150 at 6% for 18 months

$400 at 3% for 1 year

$100 at 1% for 8 years

$50 at 48% for 6 months​

Answers

Answer:

a,c

Step-by-step explanation:

You would get $12 in the certificate of deposit, and

a. 12

b. 13.5

c. 12

d. 8

e. 24

so, a and c

Hope this helps!

Let me know if it does and if the answer is right

Interest earned in options $400 at 3% for 1 year, $400 at 3% for 1 year
and $50 at 48% for 6 months has the same interest earned by, as $150 earn 4% annual interest for 2 years.

As mentioned in the question, A certificate of deposit with a principal of $150 earns 4% annual interest for 2 years.

What is simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

here,
1. $300 at 2% for 2 years

Simple Interest = principal × rate × time / 100
Simple interest = 300 × 2 /100 × 2
Simple interest = $12

Similarly, interest earned by other options is given as,
2. $13.5
3. $12
4. $8
5. $12

Thus, Options A, C, and E are correct.

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Rackel runs 3.2 miles each weekday and 1.5 each day of the weekend how many miles will she rin i 6 weeks

Answers

Answer:

114

Step-by-step explanation:

3.2 x 5 cause of the weekdays and 1.5 x 2 cause of the weekends. so then you have 16 and 3. Then you x's it soo 16x6 weeks and 3x6 weeks which equals 96 and 18 then you add thos together.


Maria buys n pencils that cost p cents each.
She pays with a $y note.
Find, in terms of n,p and y, the amount of change Maria receives.
Give your answer in cents.

Answers

Answer:

  change = 100y -np

Step-by-step explanation:

The amount Maria owes for the pencils (in cents) is n times the cost of one pencil: np.

The amount she offers for the pencils (in cents) is 100y, since each dollar is worth 100 cents.

Her change will be the difference between what she offered in payment and what she owes.

  change = 100y -np

I need help with these questions. Thanks!​

Answers

Answer:

47.27°44.22°

Step-by-step explanation:

Q1)

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(x) = 57/84

The inverse function is used to find the angle.

  x = arccos(57/84)

  x ≈ 47.27°

__

Q2)

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(x) = 53/76

The inverse function is used to find the angle.

  x = arcsin(53/76)

  x ≈ 44.22°

What is the output of y= 2/3x −4 when the input is 18?

Answers

Answer:

output = 8

Step-by-step explanation:

1. To solve for the output of the equation, we plug in the value of the input, 18, and simplify.

Keep in mind that the input is x, and the output is y.

2. (Solving)

[tex]y=\frac{2}{3}(18)-4[/tex] [tex]y = \frac{36}{3}-4[/tex] [tex]y = 12 - 4[/tex] [tex]y = 8[/tex]

Therefore, the output is 8.

An equation is formed when two equal expressions. The output of y= 2/3x −4 when the input is 18 is 8.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The output of y= (2/3)x −4 when the input is 18 are,

y = (2/3)x - 4

y = (2/3)18 - 4

y = 12 - 4

y = 8

Hence, the output of y= 2/3x −4 when the input is 18 is 8.

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An item is regularly priced at $35 It is on sale for 40% off the regular price. How much (in dollars) is discounted from the regular price?

Answers

Answer:

14 dollars off the original price

Step-by-step explanation:

h3elpppp pleaseeeehejejrhegss

Answers

Answer:

First is 1, then 2, then 10

Step-by-step explanation:

I think this is right, could be completely wrong but I did blank times 50 equals 50, that is 1. Repeated with all the problems.

1 point
10.) Tampa is about 275 miles from Tallahassee. How far about would they
be on a map with a scale of 1 in. = 15 mi?
20 inches
20.25 inches
O
19.24 inches
18.33 inches

Answers

Answer:

18.33

Step-by-step explanation:

its easy divide 275 ÷ 15 = [18.33]333333333333 the only number you need is [18.33]333333333333

and boom that simple you get your answer


What is 48,956 rounded to the nearest ten thousand?

Answers

Answer:

50,000

Step-by-step explanation:

THE ANSWER IS 50,000

In a skiing competition. Jen finishes in 13.524 seconds, Ali finishes in 13.51
seconds and Sofia finishes in 13.5 seconds. Who finished first?

Answers

Answer:

Sofia at 13.5 seconds

Step-by-step explanation:

These numbers aren't easily compared since they don't have the same number of digits.  Sofia's time of 13.5 seconds is less than that of the other two times, 13.524 and 13.51 seconds, but the lack of a zero after the 5 in Sofia's time is concerning.  If the other times were measured toi within a hundredth of a second, why not Sofia's time also?  Perhps her true time was 13.56 seconds, but the 0.05 was dropped.  She would be slower than the other two.  But, in the absence of helpful information, the only thing that can be said is that Sofia's time is reported to be less than either Jen and Ali.

Which expression has an equivalent value to x2 + 9x + 8 for all values of x?

(x + 1)(x + 8)
(x + 2)(x + 6)
(x + 4)(x + 4)
(x + 5)(x + 4)

Answers

(2x+1)(2x+8) —> (2x+1)(x+4)

g(x) = 3x + 1, evaluate g(-2).

Answers

Answer:

-5

Step-by-step explanation:

g(x)= 3x+1

g(-2)

g(-2)= 3x+1

g(-2)= 3(-2)+1= -5

the difference of 3 times a number and 2 times that same number is 80.what is the number

Answers

(3n - 2n) = 80
n = 80

Evaluate -24=(-6)-(-18).

Answers

Answer:

−24= 12

Step-by-step explanation:

Answer:

-2=1

Step-by-step explanation:

-24=(-6)-(-18)

-24=(-6)+18

-24=12

-24/12 = 12/12

-2=1

(2 negatives make a positive)

Not sure how to do this. Help is much appreciated. :D

Answers

Answer:

m = √n/3 -k

Step-by-step explanation:

√n = 3(k + m)

=> √n/3 = k + m

∴ m = √n/3 -k

Hope this helps!!

Describe the first step you would take in solving 12 = 7 - 3x + 5x. Explain.

Answers

Answer:

the first step would be to combine the x's

Step-by-step explanation:

1.) combine x (12=7+2x)

2.) subtract 7 from both sides of the equation (5=2x)

3.) divide by 2 to allow x to be by its self (5/2=x)

Simplify the following expression.

-3m + (-2x) + 4m + 2x

Answers

Answer:

[tex]m[/tex]

Step-by-step explanation:

Combine like terms

[tex]-3m+(-2x)+4m+2x[/tex]

[tex](-3m+4m)+(-2x+2x)[/tex]

[tex](1m)+(0)[/tex]

[tex]m[/tex]

Answer:

m

Step-by-step explanation:

Simplify like-terms first:

-3m + (-2x) + 4m + 2x

m + (-2x) + 2x

Both x's cancel each other out, so you're left with:

m

Benny loves eating fruits. Benny paid $4.30 for apples, and $7.02 for peaches with
a $20 bill. How much change did Benny receive?

Answers

20-(4.30+7.02) = 8.68 so your answer would be $8.68

How many solutions does this equation have? -3s + 10 = 7s​

Answers

1

Step-by-step explanation:

What is the Slope of the line that passes through points (4, -2) and (3, 1)?

Answers

Answer:

-3

Step-by-step explanation:

slope formula is y2-y1 over x2-x1

if we plug in the values and solve, that gets you -3.

Answer:

-3

Explanation:

1-(-2) divided by 3-4

Nadine received the same score on each turn in an online game. Her score on each turn was −24. She had 4 turns.

What was Nadine's final score?

Answers

Answer:

Step-by-step explanation:

-24 x 4 = -96

Graph y=-6 please please please

Answers

Answer:

Step-by-step explanation: Y=6 is 36 if u subtract from 6 and add 20 plus 7

please answer this fast question in the image.

Answers

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

slope m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y2 - y1}{x2-x1}[/tex]= [tex]\frac{4-(-1)}{2-0} = \frac{5}{2}[/tex]

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

Answers

Answer:

(x-7)(x^2-5)

Step-by-step explanation:

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