The coordinates of quadrilateral FGHJ are F(-5, -3), G(-3, 3), H(3, 5), and J(7, -1).
Find the midpoint of FJ
A) (0,4)
B) (1, -2)
C) (-4, 0)
D) (5, 2)
This is a question from my math chapter 20: Figures in the Coordinate Plane

Answers

Answer 1

i think that is C i had that one but i forget

hope that help

BMK

Answer 2

Answer:

B. [tex](1,-2)[/tex]  

Step-by-step explanation:  

We have been given that coordinates of quadrilateral FGHJ are F(-5, -3), G(-3, 3), H(3, 5), and J(7, -1). We are asked to find the coordinates of mid-point of segment FJ.

We will use mid-point formula to solve our given problem.

[tex]\text{Mid-point}=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]

Upon substituting the coordinates of points F and J in mid-point formula we will get,

[tex]\text{Mid-point}=\frac{-5+7}{2},\frac{-3+-1}{2}[/tex]

[tex]\text{Mid-point}=\frac{2}{2},\frac{-4}{2}[/tex]

[tex]\text{Mid-point}=1,-2[/tex]

Therefore, the coordinates of mid-point of segment FJ are [tex](1,-2)[/tex] and option B is the correct choice.


Related Questions

Which equation represents the vertical asymptote of the graph?

Answers

In this question, with the help of the graph we have to find the vertical asymptote .

First let's check out what is vertical asymptote .

Vertical asymptotes are straight lines of the equation , toward which a function f(x) approaches infinitesimally closely, but never reaches the line.

And in the graph, the function approaches to 12 but never touches it .

So the vertical asymptote is x=12 .

The equation which represents the vertical asymptote of the graph given is; x =12.

The Vertical Asymptote of a graph

The vertical asymptote of a graph is simply a vertical line on the x-axis to which the graph of a function approaches but never touches.

By observation, the line x=12 separates the curves and both curves do not touch the line.

Ultimately, the line x=12 is the vertical asymptote of the given graph.

Read more on vertical asymptote;

https://brainly.com/question/4723254

A driver's education course compared 1,500 students who had not taken the course with 1,850 students who had. Of those students who did not take the driver's education course, 1,150 passed the written driver's exam the first time compared with 1,440 of the students who did take the course. A significance test was conducted to determine whether there is evidence that the students who took the driver's education course were more likely to pass the written driver's exam the first time. What is the p-value for an appropriate hypothesis test?

1
0.7895
0.4209
0.2105
0
(I chose .4209 after using a 2-PropZTest. I need some help checking. An explanation if I'm wrong would be great)

Answers

I believe the answer is 0.2105 and the error you made of saying 0.4209 was because you did a 2-PropZTest when this question seems to be asking for one proportion (not two). When the p value is greater than or less, use one-proportion, if it is "!=" not equal than it is two-proportion. Please let me know if this was correct.

Answer:

0.2105

Step-by-step explanation:

Its correct

Find the sum of the solutions of this equation 20x^2-39x-80=0

Answers

This is 'nice':

The sum of the solutions is the coefficient with 'x', change it sign and divide by the coefficient of x^2:

sum = 39/40.



What is the value of y in the product of powers below?

Answers

You're trying to find the value of y that would result in 8^-2. When you multiply terms with the same base, you can add the exponents. 3+-5=-2 and -2-(-2) equals 0, so therefore y is equal to 0.

when multiplying you add the powers

 3 +-5 = -2  so the power for y = 0

If AB is the midsegment, find the value of x. Show your work.

Answers

Mid segment means half the segment, so: 3x-1=34/2=17, 3x =18, x =6. Hope it helps

3x-1=34/2

=17

3x =18, x =6

Which of the following are binomials. (more than one answer)
A. x^11
B. 8x
C. x^2+3
D. x^4+x^2+1
E. 5/7y^3+5y^2+y
F. 6x^2+1/2y^2

Answers

C. x^2+3 and D. x^4+x^2+1

its C) x^2+3 and F) 6x^2+1/2y^2 on apex

if the measure of angle 1 is (3x-4)° and the meadure of angle 2 is (4x+10)° what is the measure of angle 2 in degrees?

Answers

3x-4 + 4x+10 = 90
=>
7x + 6 = 90
=>
7x = 84      =>     x = 84/7 = 12

<2 = 4x + 10 = 4*12 + 10 = 48 + 10 = 58

The answer is: 58

Answer:

The measure of ∠ 2 in 58° .

Step-by-step explanation:

As given

if the measure of ∠ 1 is (3x-4)° and the measure of ∠ 2 is (4x+10)° .

As shown in the picture given in the question

90° + ∠1 + ∠2 = 180°

(By linear pair property)

Put the value of ∠1 and ∠2 in the above

90° + (3x -4)° + (4x+10)°= 180°

90 + 3x -4 + 4x + 10 = 180

7x + 6  = 180 - 90

7x + 6 = 90

7x = 90 -6

7x = 84

[tex]x = \frac{84}{7}[/tex]

x = 12

Put the value of x in the (4x+10)° .

∠2 = (4 × 12 + 10)°

∠2 = 58°

Therefore the measure of ∠ 2 in 58° .

A box with a volume of 40 cubic inches holds 10 balls. A box with a volume of 60 cubic inches holds 15 of the same kinds of balls. Assume the relationship is linear. Which equation models the relationship between the volume, x, and the number of balls y ?

A).y=0.25x+10
B).0.25x
C).y=4x
D).y=4x+60

Answers

Pretend these are coordinates that you can use to find the slope of the line.
(10, 40) and (15, 60). Fit these into the slope formula to find the slope of the line you are looking for:
[tex]m= \frac{60-40}{15-10} [/tex] and the slope is 4. Now use one of the points and the slope of 4 to solve for b, the y-intercept:
40 = 4(10) + b so b = 0.  The equation of the line then is y = 4x + 0 or just
y = 4x

Is the number of free dash throw attempts before the first shot is missed number of free-throw attempts before the first shot is missed a discrete random​ variable, continuous random​ variable, or not a random​ variable?

Answers

The number of free dash throw attempts before the first shot is missed number of free-throw attempts before the first shot is missed is an example of a discrete random​ variable. A discrete random variable has a probability distribution can give any possible value and the probability of that value in any given data presentation such as graph, table or formula. They are called discrete random variables because they show a specific number of finite or countable infinite values after an event has happened. In here, the number of free throw attempts wit or without missing the first shot can be counted thus making it a discrete random variable.

Answer:

:)

Step-by-step explanation:

The sum of a certain number and 3 times the number is 40. what is the number?

Answers

3n + n = 40
4n = 40
n = 40/4
n = 10 <==

The value of x is 10 if the sum of a certain number and 3 times the number is 40 and the equation will be 3x + x = 40.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The sum of a certain number and 3 times the number is 40

Let the number is x

From the question, we can frame a linear equation in one variable

3x + x = 40

Adding like terms:

4x = 40

Divide by 4 into both sides

x = 40/4

x = 10

Thus, the value of x is 10 if the sum of a certain number and 3 times the number is 40 and the equation will be 3x + x = 40.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ6

A certain forest covers an area of 3900 km2 . suppose that each year this area decreases by 8% . what will the area be after 10 years? use the calculator provided and round your answer to the nearest square kilometer.

Answers

A = P(1-r)^t

A = 3900(1-0.08)^10

A = 3900(0.92)^10

A = 3900(0.434388454)

A = 1694.11

1694 square km


The formula for the volume of a pyramid is V=13BhV=13Bh, where B is the area of the base and h is the height. Rearrange the formula to solve for the height (h).


h=B3Vh=B3V


h=V3Bh=V3B


h=3VBh=3VB


h=3BV

Answers

The volume of a pyramid 
[tex]V = \frac{1}{3}Bh \ \ \to \ \ h= \cfrac{V}{ \frac{1}{3}B } = \cfrac{3V}{B} [/tex]

To solve for the height h in the volume formula V = 1/3Bh for a pyramid, the formula needs to be rearranged to h = 3V/B by first multiplying both sides by 3 and then dividing by B.

The formula for the volume of a pyramid is V = 1/3Bh, where B is the area of the base and h is the height. To solve for the height, h, we need to rearrange the formula.

Starting with V = 1/3Bh, we want to isolate h:

Multiply both sides of the equation by 3 to cancel out the fraction: 3V = Bh.

Next, divide both sides by B to solve for h: h = 3V/B.

The correct formula to solve for height is h = 3V/B.

Select the postulate or theorem that you can use to conclude that triangles are similar.

Answers

Answer:

AA similarity postulate.

Step-by-step explanation:

Two triangles which are of same shape are called similar triangles.

In the given triangles two angles are marked 90 degrees and another pair of angles are marked the same that is equal.

In the given figure:

m∠P==m∠L=90°

m∠J=m∠M.

Two angles are equal .

The AA similarity postulate states: if two pairs of corresponding angles are congruent, then the triangles are similar .

Answer :AA similarity postulate.


Answer:

AA

Step-by-step explanation:

Factor 5k 2 - 35k 3.

A. 5k2(1 - 7k)

B. 5k3(1 - 7k)

C. 5k(1 - 7k2)

Answers

Answer:

The correct answer is A) 5k^2(1 - 7k)

Step-by-step explanation:

To factor, take out the greatest common multiple. Each term has a factor of 5 that can be taken out as a constant and k^2 as a variable. Take both of these out and divide each term by that expression.

5k^2(1 - 7k)

its A) 5k^2(1 - 7k) :)

Name all sets of numbers to which each real number belongs

Answers

                                       Real Number
Whole Numbers:0,1,2,3,4,5,6,7,8,9,10,etc.
Counting Numbers:1,2,3,4,5,6,7,8,etc.
Natural Numbers:which is whole or counting numbers depends on the topic
Integers:-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,etc.

Write the complex number in polar form. express the argument in degrees. 4i
a. 4(cos 0° + i sin 0°)
b. 4(cos 270° + i sin 270°)
c. 4(cos 90° + i sin 90°)
d. 4(cos 180° + i sin 180°)

Answers

In analytical geometry, there are two types of roots: real roots and complex roots. Imaginary roots are those with the term 'i'. These are complex numbers that can be found on the number line, thus they are called imaginary. The term 'i' is equal to the expression √(-1). So when you solve these equations, just treat the complex numbers as is they are variables.

The only way to solve these is to test each choice such that its final answer would be 4i. These are important equivalents to know:

sin 0° = 0                   cos 0° =1
sin 90° =1                   cos 90° =0 
sin 180° =0                 cos 180° = -1
sin 270° = -1                cos 270° = 0

Using these values, let's simplify each choise.

A. 4(1 + i (0)) = 4
B. 4(0 + i (-1)) = -4i
C. 4(0 + i (1)) = 4i
D. 4((-1) + i (0)) = -4

The answer is C.

Final answer:

The complex number 4i in polar form is 4(cos 90° + i sin 90°), which matches choice (c). The magnitude is 4, and the argument is 90° since 4i lies on the positive imaginary axis.

Explanation:

To convert the complex number 4i to polar form and express the argument in degrees, we should consider the general polar form of a complex number which is r(cos θ + i sin θ), where r is the magnitude (modulus) and θ is the argument of the complex number. The complex number 4i has a real part of 0 and an imaginary part of 4. Therefore, its magnitude is 4 and it lies on the positive imaginary axis. In the complex plane, this corresponds to an angle of 90° or 270° from the positive real axis. Since it is on the positive imaginary axis, the correct angle is 90°.

The correct polar form of the complex number 4i is 4(cos 90° + i sin 90°), which corresponds to choice (c).

The scores for today’s math quiz are 75, 95, 60, 75, 95, and 80. Explain the steps needed to create a histogram for the data

Answers

Answer: Determine what should go on each axis. Grades will go on the x-axis, and the number of students will be plotted on the y axis. Find the number of different scores and range. Choose an interval - say, 10 percent. Find the frequency within each interval. Choose a scale - say, - 0-3. Draw bars the height of the frequency for each interval.


The histogram is defined as the graphical representation of the data points in the given specified range.

The histogram is similar to a bar graph. In the histogram, the data is grouped in logical ranges.

The steps involved in the making of the histogram are:

The vertical axis represents the y-axis. On the y-axis, the score or marks of the quiz will be placed. The interval between the scores is 5. The x-axis is the horizontal axis, on which the relative grades will be put on. The interval, let be 10 percent for the grades. Now, draw the bars to a respective height of the frequency of marks on the y-axis.

Therefore, the histogram is similar to the bar graph, in which the quantitative analysis of the data is done.

To know more about the histogram, refer to the following link:

https://brainly.com/question/17145899

Write equations for the vertical and horizontal lines passing through the point (8, 7).

Answers

Let A(8,7)
that means x = 8  and y = 7.
The vertical line (// to y-axis) passing through A, will have always x = 8,
Then the equation of the vertical line is x = 8

The Horizontal line (// to x-axis) passing through A, will have always y = 7,
Then the equation of the Horizontal line is y = 7

Choose one of the factors of x3 + 343

Answers

Hello there!

The factorization for x³ + 343 is (x + 7)(x² - 7x + 49)


I hope that helps!

The measure of arc XYZ is 296 degrees. What is the measure of angle XZW, the tangent-chord angle?

A: 296
B:148
C:116
D:206

Answers

Let O be the center of the circle.

Reflex angle XOZ = 296°
Obtuse angle XOZ = 360° - 296° = 64°
Triangle XOZ is an isosceles triangle.

∴ Angle OZX = (180° - 64°) / 2 = 58°
(Base angle of an isosceles triangle)

Angle OZW = 90°
(Tangent to circumference of circle)

Angle XZW = 90° + 58° = 148°

Answer is B.

Another name for a dummy variable is a binary variable.a.Trueb.False

Answers

Another name for a dummy variable is a binary variable
a.True

Which of the following steps could be used as a shortcut method to multiply 12 by 50

Answers

Multiply 12 by 100, then divide that result by 2
I don't think you have attached the options, but I'll show you a shortcut method to solve this anyway (which may or may not be in the multiple choice answers):

1. Compute 12*5 
2. Add a zero at the end of the product


Another way (which is slightly longer):

1. Split 50 into 10*5
2. Multiply 12*5 to get 60
3. Multiply 60*10 to get 600

Consider the following function: f(x)= 25-x^2/x^2-4x-5 Which of the following are correct? Check all of the boxes that apply.

-m not equal to n
-m is equal to n
-There is only one vertical asymptote.
-y = –1 is the horizontal asymptote.

Answers

Answer:    B, C, and D

Step-by-step explanation:

Just did it and got the answers wrong so these are the correct ones

Answer:

B, C, D

Step-by-step explanation:

-m is equal to n

-There is only one vertical asymptote.

-y = –1 is the horizontal asymptote.

Abdul put gas in his car. He paid $18.32 for 8 gallons of gas. What is the unit price?

Answers

Unit price is price per gallon.
18.32/8=2.29
Final answer: $2.29 per gallon
$2.29 a gallon

18.32/8 = 2.29, which represents dollars per gallon.

The diagonals of a parallelogram are 12 meters and 20 meters and intersect at an angle of 60°. find the length of the longer side.

Answers

Final answer:

To find the length of the longer side of the parallelogram, you can use the law of cosines.

Explanation:

To find the length of the longer side of the parallelogram, we can use the law of cosines. The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of the lengths of those two sides and the cosine of the included angle.

In this case, one of the diagonals is 12 meters and the other is 20 meters. The included angle is 60°.

Letting 'a' be the length of the longer side, we can set up the equation:

a^2 = 12^2 + 20^2 - 2(12)(20)cos(60°)= 304

a=17.43

The area of the trapezoid is 40 square units.

What is the height of the trapezoid? __ Units

Answers

The answer is 5. The formula for area of trapezoid is A=a+b/2*h
When you input 40 for A and 6 for a and 10 for b, then you should get 5
hope this helps:))

we know that

The area of a trapezoid is equal to

[tex]A=\frac{1}{2}(b1+b2)h[/tex]

where

b1 and b2 are the parallel bases of the trapezoid

h is the height of the trapezoid

In this problem we have

[tex]b1=6\ units\\b2=10\ units\\A=40\ units^{2}[/tex]

substitute in the formula

[tex]40=\frac{1}{2}(6+10)h[/tex]

Solve for h

[tex]40*2=16h[/tex]

[tex]h=80/16=5\ units[/tex]

therefore

the answer is

The height of the trapezoid is [tex]5\ units[/tex]

Best explained and correct answer gets brainliest.

Answers

value = 45 x (1+0.015)^15

45 x 1.015^15=

45 * 1.25 = 56.26

 answer is B $56.26

Laura is now trying to come up with a number where three less than 8 times the number is equal to half of 16 times the umber after it was increased by 1

Answers

8n-3=1/2(16n+1)
is the equation i come up with which would have no solutions.

The volume of a fish tank is 20 cubic feet. If the density is 0.2 fish over feet cubed, how many fish are in the tank? (1 point)

Answers

density of fish = number of fish / volume 

0.2  = n / 20

n = 20*0.2  =  4

there are 4 fish in the tank.

Answer : The number of fish present in the tank are, 4 fish.

Step-by-step explanation :

As we are given that the volume of a fish tank is 20 cubic feet and density is 0.2 fish over feet cubed.

Now we have to determine the number of fish in the tank.

As, in 1 cubic feet tank the number of fish present in tank = 0.2 fish

So, in 20 cubic feet tank the number of fish present in tank = 20 × 0.2 fish

                                                                                                   = 4 fish

Therefore, the number of fish present in the tank are, 4 fish.

Which of the following could not be a value of n? side lengths of 9 and 13
a. 7
b.10
c. 13
d. 22

Answers

The correct answer here would be D. And that is because, in a triangle, the sum of 2 of the sides has to be greater than the third side for all sides.  If we add 22 and 13 we get 35, and 35 is greater than 9, for sure. But if we add 13 and 9 we get 22 which is not greater than the third side length of 22; it would be collinear with the side length and it has to be greater than the side length.
Other Questions
Today only, a table is being sold for $333 . This is 74% of its regular price. What was the price yesterday? Point C is the center of the circle. The measure of angle ACB is 12x 7. Arc AB measures 10x + 7. Find the value of x. You dissolve 4.5 mol of potassium hydroxide to make a 2 L solution. What is the molarity of the solution? prepare slogan reflecting universal brotherhood Monette has posted over 100 book reviews on discussion forums. she also frequently reviews products and services and posts her reviews on local restaurants on review sites. as a social media user, monette would best be characterized as a _____. If people constantly ask you to repeat a statement, your _______ of speaking may be too fast. A. volume B. pitch C. rate D. tone Annie found that 57 students in her school knew French and 23 of those students knew Spanish, as well. There were 11 students who did not know French but knew Spanish. There were 4 students who knew neither French nor Spanish. Which table best summarizes the data collected by Annie? Knew SpanishDid not know SpanishTotalKnew French573491Did not know French11415Total6838106 Knew SpanishDid not know SpanishTotalKnew French123446Did not know French11415Total233861 Knew SpanishDid not know SpanishTotalKnew French233457Did not know French11415Total343872 Knew SpanishDid not know SpanishTotalKnew French233457Did not know French41115Total274572 Hi!! First answer gets Brainliest! :)How have the following affected settlement, trade, and government in Costa Rica?-Land features-Water features-Climate-Location-Natural resources-IndustriesI know that this is kind of a weird question, but all answers are greatly appreciated!! Who became the first african american supreme court justice in 1967? Line graphs are useful for seeing trends. How do you explain a line graph that goes up and down? PLS HELP ASAP WILL MARK BRAINLIEST!Question 3(Multiple Choice Worth 2 points)(6.02 MC)Innovative ideas may someday lead to a new way of addressing significant marine issues. Which of the following should be considered when evaluating the costs and benefits of a new innovative process?Cost to buildEffort and time to implementMaintenance and recurring costs I and II only I and III only II and III only I, II, and III Question 4(Multiple Choice Worth 2 points)(6.02 LC)Which of the following factors would best contribute to a measurement of environmental quality? Average temperature Water clarity Salinity levels Average speed of sound Question 5(Multiple Choice Worth 2 points)(6.02 MC)Two new products are competing for grant money, with the goal of cleaning up the marine environment. Each product removes plastic from the ocean. Product 1 can be used in the open ocean and requires monitoring once every three months to retrieve collected plastic. Product 2 is designed to be used in harbors and marinas and requires monitoring once per week to retrieve collected plastic. If all other costs and benefits are equal, which of these products would you recommend for the grant? Product 1 because it requires less monitoring, reducing the overall cost Product 1 because it is presumed to be more effective at removing plastic Product 2 because it would provide more job opportunities for local people Product 2 because it would probably last longer in marinas than in the open oceanQuestion 6(Multiple Choice Worth 2 points)(6.02 MC)Which of the following best describes the relationship between human population size and resource use? Countries with high populations are likely to use more resources. Countries with high populations are likely to use fewer resources. Countries with low populations are likely to use more resources. There is no correlation between population size and resource use. b. Briefly explain ONE reaction Native Americans to European policies A scientist looked at a group of embryos. Upon examination, she observed that species A and B diverged closer to fertilization. She also observed that species C and D diverged closer to birth. Which of the following statements is true?A.Species A and B are more closely related than species C and D.B.Species C and D are more closely related than species A and B.C.Species A and C are related.D.Species B and D are related. A puzzle contains a triangular piece with a base of 3 in. and a height of 4 in. A manufacturer wants to make 80 puzzles. Find the amount of wood used if each puzzle contains 20 triangular pieces. How are the steps of cellular respiration different when it is anaerobic respiration? Tom has developed chronic kidney disease. he has lost weight and has a poor intake. the most likely cause is: AIDS occurs when HIV destroys the immune system. Please select the best answer from the choices provided. T / F Find Y of the polygon In "The Chrysanthemums," the interaction between Elisa and the traveling repairman helps develop the story's theme about taking risks. Describe their interaction and explain how it helps to develop the story's theme. Which of the following foods are exempt from the food labeling law? ready to eat foods as foods at a bakery, deli and/or candy store items sodas fruit juice, milk and cheese Steam Workshop Downloader