determine whatever ABCD is a parallelogram by using the midpoint formula.
A(3,3) B (1.2) C(-3.1) D (-1.4)

Determine Whatever ABCD Is A Parallelogram By Using The Midpoint Formula. A(3,3) B (1.2) C(-3.1) D (-1.4)

Answers

Answer 1

Answer:

Not a parallelogram.

Step-by-step explanation:

By the midpoint formula, the midpoint of a segment between [tex](x_{0},\, y_{0})[/tex] and [tex](x_{1},\, y_{1})[/tex] is:

[tex]\begin{aligned} \left(\frac{x_{0} + x_{1}}{2},\, \frac{y_{0} + y_{1}}{2}\right)\end{aligned}[/tex].

A quadrilateral is a parallelogram if and only if the midpoints of the two diagonals are the same.

The two diagonals of quadrilateral [tex]{\sf ABCD}[/tex] are segment [tex]\sf{AC}[/tex] and segment [tex]{\sf BD}[/tex], respectively.

Using the midpoint formula, the midpoint of segment [tex]{\sf AC}[/tex] (between [tex]{\sf A}\; (3,\, 3)[/tex] and [tex]{\sf C}\; (-3,\, 1)[/tex]) would be:

[tex]\begin{aligned} & \left(\frac{3 + (-3)}{2},\, \frac{3 + 1}{2}\right) \\ =\; & (0,\, 2)\end{aligned}[/tex].

Likewise, the midpoint of segment [tex]{\sf BD}[/tex] (between [tex]{\sf B}\; (1,\, 2)[/tex] and [tex]{\sf D}\; (-1,\, 4)[/tex] would be [tex](0,\, 3)[/tex].

Thus, quadrilateral [tex]{\sf ABCD}[/tex] would not be a parallelogram since the midpoints of its two diagonals are not the same.


Related Questions

What is the slope-intercept equation of the line below?
O A. y=-2x+1
B. y = 2x + 1
Oo
C. y = -2x-1
O D. y = 2x-1

Answers

Answer:

C

Step-by-step explanation:

It has a negative slope and it crosses the y axis at -1

The first equation in the following system gives a company's income, in dollars, for selling x baseball caps. The second equation gives the cost of making x baseball caps. Y = 8x y = -0. 01 x2 4x 3,200 The solution of the system is (400, 3,200). How would you interpret this solution?.

Answers

The solution of the equation can be determined by substituting the points in the equation and solving it.

The solution of the given equation would be interpreted by solving the equation for the value of x and y.

The solution of the equation is (400, 3200) and it can be determined by using substitution method.

Given that,

The first equation in the following system gives a company's income, in dollars, for selling x baseball caps.

The second equation gives the cost of making x baseball caps.

[tex]\rm y = 8x\\\\ y = -0.01 x^2 + 4x + 3200[/tex]

The solution of the system is (400, 3,200).

We have to determine,

How would you interpret this solution?

According to the question,

The first equation in the following system gives a company's income, in dollars, for selling x baseball caps.

The second equation gives the cost of making x baseball caps.

[tex]\rm y = 8x\\\\ y = -0.01 x^2 + 4x + 3200[/tex]

On solving both the equation,

Substitute y = 8x in the equation 2,

[tex]\rm y = -0.01 x^2 + 4x + 3200\\\\ 8x = -0.01 x^2 + 4x + 3200\\\\0.01x^2+8x-4x-3200=0\\\\0.01x (x+800) -4(x+800)=0\\\\(x+800)\ (0.01x-4)\\\\When \ \ x +800=0, \ x = -800\\\\And\ \ 0.01x-4 = 0, \ \ x = \dfrac{4}{0.01} \ \ x =400[/tex]

The value of x is not -800 because the cost can not be negative.

Then the value of x is 400.

Substitute the value of x in equation 1,

[tex]\rm y = 8x\\\\y = 8(400)\\\\y = 3200[/tex]

Hence, The solution of the equation is (400, 3200).

For more details about System of Equation refer to the link given below.

https://brainly.com/question/281027

pls help me i do not know how to do this

Answers

Answer:

D. Reflect across the y-axis and then across x = 7

Step-by-step explanation:

A and B work because each transformed point is 12 to the right (x-value is 12 greater), and 3 left then 15 right is the same thing as just 12 right.

C. works because if you take each of the points and reflect them over the y-axis (make the x value positive) and then across the line x=6 (vertical line at 6 on the x-axis) it will map the points onto the correct image.

So, the answer is D. Reflect across the y-axis and then across x = 7.

Tom, Kristen, and bill bought 3 granola bars to share amongst themselves. They divided each granola bar into 4 equal portions. Kristen ate 1 portion from each granola bar. Which equation represents how many granola bars Kristen ate.

Answers

Answer:

3/4 of a bar.

Step-by-step explanation:

Each piece of the granola bar is 1/4 of the bar. She ate 3 portions, so she ate 3/4.

Find the equation of the straight line which makes a negative intercept of 4 units on the x - axis and passes through the point (2‚ 3).​

Answers

Answer:

y = 1/2x + 2.

Step-by-step explanation:

It passes through the points (-4, 0) and (2,3) so

the slope (m) = (3-0)/(2-(-4)) = 3/2 = 1/2.

Using the point slope form of a straight line:

y - y1 = m(x - x1):

y - 3 = 1/2(x - 2)

y = 1/2x - 1 + 3

y = 1/2x + 2 is the required equation.

Helppppppppppppppppp

Answers

[tex]\huge \tt༆ Answer ༄[/tex]

The respective terms used for the lines are ~

a.) Line a = Tangent

b.) Line b = Radius

c.) Line c = Diameter

d.) Line d = Secant

Step-by-step explanation:

a is tangent

b radius

c diameter

d chord

Can someone please help me with this one? Tysm! ^^

Answers

2/3 x 3/4 =6/12=1/2
(Multiply numerators, multiply denominators, simplify)

Dan is using tiles to add - 8 +6. He begins with the tiles shown below.
OOOOOOOO
What is the sum of -8+6?
0-14
-2
02
14

Answers

Answer:

-2

Step-by-step explanation:

Two identical squares of sides 17 cm overlap to form a rectangle as shown below. The shaded part is the overlapping region

Answers

Answer:

B 68 sq cm

Step-by-step explanation:

There's an overlap of 4

2*13 + 4

4 * 17 is 68

Katie don't delete my work!

Given f(x) = 3. + 1, solve for when f(3) = 7.

Answers

Answer:

The question is incomplete

Carlos cycles for 2 hours at a fast speed, then cycles for 3 more hours at a speed 10 km/h slower than this. If the entire distance travelled is 90 km, find Carlos’ speed in the first two hours of travel.

Answers

Answer:

f=24km/h

Step-by-step explanation:

Alright, here's what we know.

He travels 2 hours at a fast speed, lets call that speed f km/h

He then travels 3 hours at (f-10) km/h

In these 5 hours, he travels 90km

So we have the formula velocity = distance/time. If you don't know where that formula comes from, let me know and I'll explain.

So we have:

[tex]v=\frac{d}{t}[/tex]

d and t are given to us as 90 and 5 respectively

v is going to be his average speed, so we take 2 times the fast speed plus 3 times the slower speed and divide it by 5. This gives us the average speed he traveled over the 5 hours.

[tex]\frac{2f+3(f-10)}{5} =\frac{90}{5}[/tex]

2f+3f−30=90  by cancelling the 5's in the denominator and expanding 3(f−10)

5f=120

f=24km/h

So his faster speed is 24 km/h. Let me know if this solution did not make sense to you at any point.

: Ram lived in a small village. When he left for a college in a city, the population of his village was 840. When he came back, the , population had grown by 5%. What was the nopulation he found?​

Answers

Answer:

882

Step-by-step explanation:

840 : 100 x 105 = 882

what is 69+69-69+1-1+0

Answers

The answer is 69 , because it just cancels out the numbers

Answer:

207

Step-by-step explanation:

f(x) = (x - 1) (4x + 3) (3x - 8) has zeros at x = 3/4, x= 1, and x = 8/3.
What is the sign of f on the interval - 3/4

Answers

Using the given roots, it is found that on the interval [tex]-\frac{3}{4} < x < 1[/tex], the function is positive.

The function is:

[tex]f(x) = (x - 1)(4x + 3)(3x - 8)[/tex]

The zeroes are:

[tex]x = -\frac{3}{4}, x = 1, x = \frac{8}{3}[/tex]

Between two zeroes, the function has the same sign, hence, to find the sign on the interval [tex]-\frac{3}{4} < x < 1[/tex], we find the numeric value of the function of a value of x on the interval, for example f(0), for x = 0.

Then:

[tex]f(0) = (0 - 1)[4(0) + 3][3(0) - 8] = (-1)(3)(-8) = 24[/tex]

Since f(0) is positive, the function is positive on the interval [tex]-\frac{3}{4} < x < 1[/tex].

A similar problem, in which it is desired to find the sign of the function, is given at https://brainly.com/question/4787253

A company rents out 15 food booths and 22 game booths at the county fair. The fee for a food booth is $175 plus $8 per day. The fee for a game booth is $80 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.​

Answers

Answer: ($2100+96d) + ($2755+116d)

               = $4855+212d

Anyone know this answer I will give you 28 point.

Answers

Answer:

V to X = 68mi

X to W = 50mi

V to W = will be 68mi too

Step-by-step explanation:

note ; it's a triangle*

2. What additional Information What additional information do you need to prove ABC = DEF by the SSS Postulate?

AC = DF
AB = DE
BC = EF

Answers

The answer is : Ab=De
We already know the other sides

A group of friends wants to go to the amusement park. They have no more than $150 to spend on parking and admission. Parking is $10.50, and tickets cost $15 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.


please write an inequality
also please solve for p <3

Answers

9 because if it another person it will be 150 in you still got to had tax

WILL MARK SOMEONE BRAINLIEST!!!! The chart below shows the age of the volunteers for the local pet hospital. When combined which two age groups would be greater than the 27-39 age group?
A. 0-13 and 14-26
B. 0-13 and 53-65
C. 40-52 and 14-26
D. 53-65 and 14-26

Answers

Answer:

C

Step-by-step explanation:

60+80=140 which is definitely higher than 100-120

Answer:

C. 40-52 and 14-26

Step-by-step explanation:

The age groups that can be more than 120 in number as the 27-39 age group can only be 2 groups.

The 40-52 is an age group which has 80 in number and below it the 14-28 age group has 60 in age group.

60+80 is more than the 27-39 ager group by 20 in number. Therefore, the C. 40-52 and 14-26 age groups are the 2 groups that have more than the 27-39 age group.

Which values of k would cause this system of equations to have no solution? Check all that apply. 6x 4y = 14, 3x 2y = k â€"2 5 7 10 21.

Answers

The values of k that will cause the system of equations to have no solution is; k = 7 and 21

We are given the simultaneous equations;

6x - 4y = 14

3x - 2y = k

Now, for both equations not to have a solution it means that x and y can't be made to be subjects.

Now, by inspection see see that the left hand side of the second equation when multiplied by 2 gives the left hand side of the first equation.

By implication, for both equations not to have a solution, k must also be multiplied by 2 to give 14.

Thus;

2k = 14

k = 14/2

k = 7

Also, since 21 is 1.5 multiplied by 14, it means that when we make 21 to be k, there will also be no solution.

Read more about simultaneous equations at;https://brainly.com/question/17671517

Answer:

-2, 5, 10, 21

A, B, D, E

PLS HELP ASAP. QUESTION IN PICTURE

Answers

Answer: 50 degrees

Step-by-step explanation:

This is actually quite simple using the exterior angle theory

"The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle"

In this case the exterior angle is 120 degrees, basically what the theorem states is that it the angle that you see outside the triangle equals the angle measurements of the 2 angles opposite of it, so just create an equation because you know 2 of the variables

120=70+x

120-70=x

Angle x = 50 degrees

A store owner discounted some silver coat racks from $625 to $405. What percentage is the discount?

Answers

Answer: 64.80% not 100% positive if i did that math right but thats what i got

Step-by-step explanation:

38.8679

Step-by-step explanation:

Kile’s weight is 30 pounds less than the product of Mindy’s weight and 3. Let m represent Mindy’s weight. Write an expression that represents Kile’s weight.

Answers

Let m represent Mindy's weight.Therefore, product of Mindy's weight and 3 = m × 3 = 3mKile’s weight is 30 pounds less than the product of Mindy’s weight and 3.Therefore, Kile's weight can be represent by this:[tex]3m - 30[/tex]

Answer:

3m - 30

Hope you could get an idea from here.

Doubt clarification - use comment section.

Kiles weight is m Product of m and 3 means m and 3 are multiplied.

So the expression till now

[tex]\\ \sf{:}\Rrightarrow m(3)[/tex]

[tex]\\ \sf{:}\Rrightarrow 3m[/tex]

But the required weight is 30pounds less than it

[tex]\\ \sf{:}\Rrightarrow 3m-30[/tex]

9x-5y=2
3x-4y=10
can anyone please explain how the answer of this question is:
x=-4
y=-2

Answers

Answer:

9x-5y=2======>9x-5y=2===>(+)7y=-28=>y=-4=>(1)3x-4(-4)=10=>x+16=20=>x=4

3x-4y=10(1)=>(×-3)-9x+12y=-30=>(+)

ANSWER: x = -2 ; y = -4
Ok done. Thank to me :>

What is the domain???????

Answers

Answer:

H

Step-by-step explanation:

The domain is the values of x in a function.

The graph appears to extend infinitely to the right and left going from the x value 1

From what it looks like the two lines never touch or go over the x value 1 and extend infinitely to the right and left meaning that the values of x of the function are all real numbers but x = 1.

This can be written as {x | x ≠ 1 }

The answer is H

So, from what I can tell, I think the domain is H. Domain is the range of all X values, so you can see that the graph doesn’t include, or avoids the x value(s) of positive one. So I believe, based on your answer, it is option H


Which equation could define the function below?
y= (x+1)(x+ .5) (x+ 3.5)
y= (x+1) (X - .5) (x-3.5)
y = (x-1) (X-.5) (x-3.5)
y= (x+1) (X- .5) (x +3.5)

Answers

Answer:

y= (x+1)(x+ .5) (x+ 3.5)

y= (x+1) (X - .5) (x-3.5)

y = (x-1) (X-.5) (x-3.5)

y= (x+1) (X- .5) (x +3.5)

Step-by-step explanation:

five times a number is ten more than three times the number. Find the number​

Answers

5x = 10 + 3x

5x - 3x = 10

2x = 10

x = 5

To check

5(5) = 10 + 3(5)

25 = 10 + 15

25 = 25

Answer:

x = 5

Step-by-step explanation:

Number = x

5x = 10 + 3x  

2x = 10

x = 5

The ratio of boys to girls at a monster truck rally is 4:3. Create a ratio table with examples of how many boys and girls could be at the rally?

Answers

4:3

8:6

12:9

16:12

20:15

24:18

28:21

Graph a line with a slope of -3/4 that contains the point (2,3).

Answers

Answer:

The graph will be on the bottom:

Step-by-step explanation:

First find the slope intercept form:

y=mx+b

m is slope

b is y-intercept

since we already have slope we can replace that with m

y=-3/4x+b

Now substitute x and y with 2 and 3

3=-3/4 (2)+b

3=-3/2+b

Add on both sides:

9/2=b

Thus the Slope-intercept form is

y=-3/4x+9/2

Hope this helps!

At the Coyotes' football game yesterday, the Coyotes scored 6 points for every 1 point scored by their opponent, the Rams. Pick the diagram that models the ratio in the story. If the Coyotes scored 42 points, how many points did the Rams score

Answers

Answer:

The Rams scored 7 points.

Step-by-step explanation:

42/6 = 7

since the Coyotes scored 42 points, you would divide that score by however many they would get for every 1 point the Rams would get.

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