A(3,4) and B(-3,2) are pointd on a coordinate plane. find the coordinate of a points C on the x axis such that AC=BC​

Answers

Answer 1

Answer:

Step-by-step explanation:

Here's the game plan. In order to find a point on the x-axis that makes AC = BC, we need to find the midpoint of AB and the slope of AB. From there, we can find the equation of the line that is perpendicular to AB so we can then fit a 0 in for y and solve for x. This final coordinate will be the answer you're looking for. First and foremost, the midpoint of AB:

and

Now for the slope of AB:

and

 So if the slope of AB is 1/3, then the slope of a line perpendicular to that line is -3. What we are finding now is the equation of the line perpendicular to AB and going through (0, 3):

and filling in:

y - 3 = -3(x - 0) and

y - 3 = -3x + 0 and

y - 3 = -3x so

y = -3x + 3. Filling in a 0 for y will give us the coordinate we want for the x-intercept (the point where this line goes through the x-axis):

0 = -3x + 3 and

-3 = -3x so

x = 1

The coordinate on the x-axis such that AC = BC is (1, 0)


Related Questions

Diego runs for 32 seconds at -8. meters per second .what is his finish point?

Answers

Answer:

The finishing point 4

Step-by-step explanation:

32/8=4

Thank you very much you can help me with the others that I am uploading to my profile and there is more in case you can please

Answers

Answer: y = 2x + 20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.

Step-by-step explanation:

Because it's time, it don't have to be just integers. Seconds are fractions of minutes.(0,20) is the y-intercept and there will be no smaller y-values because x(time) cannot go negative.He goes at a rate of a problem per 2 minutes, so 2 is his slope.

Answer:

The second one is the answer.

Step-by-step explanation:

Objective: Linear Equation Problems.

Let model the equation given to us.

Vlad spent 20 minutes on his homework already and he complete x math problems every 2 minutes so we represent this as

[tex]y = 2x + 20[/tex]

X can be any real number greater than or equal zero because time isnt negative so anything below zero is wrong.

Y can be any real number but however since Vlad spent 20 mins on his homework already, he must spend over or equal to 20 minutes completing the total homework.

The second one is the answer

Uh could someone help me on this please?

Evaluate the following, using distributive property.
(i) – 39 × 99
(ii) (– 85) × 43 + 43 × ( – 15)​

Answers

Answer:

39×99=3861.

85×43+43×15=4300

39 multiple 99= 3861

Step-by-step explanation:

85 multiple 43 add 15=4300

Find the derivative of the function. f(x) = 2x + 6
a. 6
b. 2
c. -2
d. 1/2
PLEASE ANSWER WITH THESE ANSWERS

Answers

Hi there!

[tex]\large\boxed{\text{ B. 2}}[/tex]

f(x) = 2x + 6

Differentiating 2x = 2 (Power rule, dy/dx xⁿ =  nxⁿ⁻¹)

Differentiating a constant always equals 0.

Thus:

f'(x) = 2

40 pointsanad brainliest for this, it's really important!

Answers

Step-by-step explanation:

C = 6 n + 4,500

the set up cost is represented by the initial value of the function, which is $4,500.

the ongoing cost of materials and labor is represented by the rate of change of the function, which is $6 per bottle.

If a circle has a diameter of 16 feet, which expression gives its area in square
feet?
A. 8^2•r
B. 16^2 •r
C.8•r
D. 16•r

Answers

Answer:

Area of a circle is denoted by: πr^2 where r is the radius of the circle. = 16/2 = 8 feet.

Step-by-step explanation:

Write down five numbers so that:the mean is 6,the median is 5 and the mode is 4

Answers

Answer:

4 , 4 , 5 , 6 , 11

Step-by-step explanation:

Mode = 4

So at least two times 4 should be there in the data.

And median is 5. So the middle term ( 3rd term} should 5.

Let x and y be the 4th term and 5th term

Data set:

4 , 4 , 5 , x , y

Mean =6

[tex]\frac{4+4+5+x+y}{5}=6\\[/tex]

4+4+5 +x + y = 6*5

13 + x + y = 30

     x + y = 30 - 13

     x + y = 17

x ,y can be any numbers that sum up to 17.

x , y  can be  10 , 7   or  6, 11

Data set: 4 , 4 , 5 , 6, 11

Hermes says that the opposite of 9 is 9 since
each number is 9 units from zero on the number line. Is Hermes correct?
Explain why or why not

Answers

Answer: Hermès is incorrect. The opposite of 9 is -9.


Explanation: In this question, Hermès gives an incorrect answer, claiming that the opposite of 9 is also 9. To find the correct answer, let’s first look at his reasoning. He was right in one thing- to find the opposite of a number, we need to find one that shares the same distance from zero. However, he was wrong in believing that the number had to be exactly the same. To find the opposite number, find the same distance from zero in the opposite direction. In this case, the distance from zero is 9. Go in the opposite direction from zero, 9 times. This would give you an answer of -9. Because of this, the opposite of 9 is -9.


Hope this helps! Comment below for more questions.

Hermes is incorrect. The opposite of 9 is -9 if Hermes says that the opposite of 9 is 9 since each number is 9 units from zero on the number line.

What is a number line?

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

To find the same distance away from zero in the opposite direction to determine the opposite number.

The distance from zero in this situation is 9. nine times in the opposite direction from zero.

Thus, Hermes is incorrect. The opposite of 9 is -9 if Hermes says that the opposite of 9 is 9 since each number is 9 units from zero on the number line.

Learn more about the number line here:

brainly.com/question/13189025

#SPJ2

A is 5 times B, and B is 7 less than 2 times C. Which of the following statements describes the
relationship betweeen A & C?
(a) A is 7 less than 7 times c
(b) A is 7 less than 10 times C
(C) A is 14 less than 7 times C
(d) A is 35 less than 7 times C
(e) A is 35 less than 10 times C.

Answers

Answer:

C is the answer

Step-by-step explanation:

I'm sure it is

Ben has twenty-six coins in her pocket are all dollars(1$ coins) and quarters, and they add up to seventeen dollars in value. How many of each coin does he have

Answers

Answer:

14 $1 coin

12 quarter coin

Step-by-step explanation:

Let :

x = $1 dollar coin

y = $0.25 (1 quarter) coin

x + y = 26 - - - (1)

1x + 0.25y = 17 - - - - (2)

From (1) :

x = 26 - y

Put x = 26 - y in (2)

1(26 - y) + 0.25y = 17

26 - y + 0.25y = 17

-y + 0.25y = 17 - 26

-0.75y = - 9

Divide both sides by - 0.75

-0.75y /- 0.75 = - 9 / - 0.75

y = 12

Put y = 12 in (1)

x = 26 - 12

x = 14


(6ab-8a+8) - (7ab-1 )

Answers

Answer:

[tex]- ab - 8a + 9[/tex]

Step-by-step explanation:

[tex](6ab - 8a + 8) - (7ab - 1) \\ 6ab - 8a + 8 - 7ab + 1 \\ - ab - 8a + 9[/tex]

hope this helps you.

Answer:

-ab - 8a + 9

Step-by-step explanation:

(6ab - 8a + 8) - (7ab - 1) =

= 6ab - 8a + 8 - 7ab + 1

= -ab - 8a + 9

Please help me w the answer

Answers

Answer:

[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]

Step-by-step explanation:

In essence, one needs to work their way backwards to solve this problem. Use the information to construct the function.

The function has verticle asymptotes at (x = 4) and (x = 5). This means that the denominator must have (x - 4) and (x - 5) in it. This is because a verticle asymptote indicates that the function cannot have a value at these points, the function jumps at these points. This is because the denominator of a fraction cannot be (0), the values (x - 4) and (x - 5) ensure this. Since if (x) equals (4) or (5) in this situation, the denominator would be (0) because of the zero product property (this states that any number times zero equals zero). So far we have assembled the function as the following:

[tex]\frac{()}{(x-4)(x-5)}[/tex]

The function has x-intercepts at (6, 0), and (0, 10). This means that the numerator must equal (0) when (x) is (6) or (10). Using similar logic that was applied to find the denominator, one can conclude that the numerator must be ([tex](x - 6)(x-10)[/tex]). Now one has this much of the function assembled

[tex]\frac{(x-6)(x-10)}{(x-4)(x-5)}[/tex]

Finally one has to include the y-intercept of (0, 120). Currently, the y-intercept is (60). This is found by multiplying the constants together. (6 * 10) equals (60). One has to multiply this by (2) to get (120). Therefore, one must multiply the numerator by (2) in order to make the y-intercept (120). Thus the final function is the following:

[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]

Hans withdrew 40 dollars from his checking account write a signed number to represent this change in his account

Answers

Answer:

-40

Step-by-step explanation:

I assume a signed number means a number with a positive or negative sign in front of it. If you withdraw cash from your checking account, your checking account amount decreases, so it would be like subtracting 40 dollars, or -40.

Hope this helps (●'◡'●)

You have 3 pounds of egg whites. You need 8 oz to make one serving of consommé.How many servings can you make?

Answers

I believe it is 24 servings hope it’s right

The number of servings you can make is 6

How to determine the number of servings?

The given parameters are:

Available = 3 poundsContent per serving = 8 oz

Next, we convert oz to pounds

Content per serving = 8 * 0.0625 pound

This gives

Content per serving = 0.5 pound

The number of serving is then calculated as:

Number = Available/Content per serving

This gives

Number = 3/0.5

Evaluate

Number = 6

Hence, the number of servings is 6

Read more about proportions at:

https://brainly.com/question/1781657

#SPJ9

What kind of statement does the shorthand below represent?

Answers

Answer:

it's a transitive statement.

Similar to "If a is equal to b and b is equal to c, then a is equal to c."

a = b and b = c, then a = c

Step-by-step explanation:

Which of the following is NOT written in scientific notation?
a. 3.5X10^-2
b. 21.2X10^3
c. 1.4X10^5
d. 9.9432X10^-4


How many solutions does the following system have?
4x – 2y = 6
2x - y = 3
a. One
b. Infinitely many
c. Two
d. None


Helppp :( please and thank u

Answers

Answer:

b.

b.

Step-by-step explanation:

scientific notation should have one positive in front of the decimal point, then any number (>=1) of positions after the decimal point, followed by the multiplication with the property power of 10.

the only number not following that rule is b (2 positions in front of the decimal point).

4x - 2y = 6

2x - y = 3

are the same line, as we can multiply the second equation by 2 and get exactly equation 1.

so, both lines have the same slope and the same y-intercept. therefore, they have infinitely many solutions.

Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .

Answers

Answer:

8.42

Step-by-step explanation:

* means multiply

31.65/5.45 = x/1.45

5.45x = 31.65 * 1.45

5.45x = 45.8925

x = 45.8925/5.45

x = 8.42064220183

A store buys items at a wholesale price of $45 each. If the store marks up the price, and no discounts are given, which could be possible retail prices?

Answers

Answer:

$49 and $65 are the choices you should check. These prices are greater than $45.

Step-by-step explanation:

It is given that the store buys items at a wholesale price of $45 each. If the store marks up the price, and no discounts are given, then that would mean that the store sells the store has to sell at a price greater than the buying price which is $45.

Out of the given options, only two options have a selling price which is greater than $45. These are the last and the second last options. Thus the fourth and the fifth options are applicable and hence they are to be checked.

Given PQR, R=90º....

Answers

Answer:

RQ = 9 units

Step-by-step explanation:

The sum of two numbers is -4 and their difference is zero. Find the numbers.

Answers

Answer:

- 2 and - 2

Step-by-step explanation:

let the 2 numbers be x and y , then

x + y = - 4 → (1)

x - y = 0 → (2)

Add the 2 equations term by term to eliminate y

2x + 0 = - 4

2x = - 4 ( divide both sides by 2 )

x = - 2

Substitute x = - 2 into either of the 2 equations and solve for y

Substituting into (1)

- 2 + y = - 4 ( add 2 to both sides )

y = - 2

The 2 numbers are - 2 and - 2

find the missing side. round to the nearest tenth.
24) HELP ITS DUE IN THE MORNING

A) 14.2
C) 13.8
B) 9.2
D) 15.7

25.
A)37.6
B)30.8
C)45.1
D)5.5

Answers

Answer:

24) x = 9.2

25) x = 30.8

Step-by-step explanation:

Given

See attachment for triangles

Solving (24)

To solve for x, we make use of cosine formula

i.e.

cos(40) = adjacent ÷ hypotenuse

So, we have:

cos(40) = x ÷ 12

Multiply both sides by 12

12 cos(40) = x

12 * 0.7660 = x

x = 9.2

Solving (25)

To solve for x, we make use of sine formula

i.e.

sin(25) = opposite ÷ hypotenuse

So, we have:

sin(25) = 13 ÷ x

Multiply both sides by

x sin(25) = 13

Divide by sin(25)

x = 13 ÷ sin(25)

Using a calculator

x = 30.8

How much fudge will each person get if 7 people share one half of a pound of fudge equally? Ow much fudge will each person get if 7 people share one half of a pound of fudge equally? Use the number line to help you. (2 points) A number line showing zero to one divided into two equal parts. Each part is divided into seven equal parts. Select one: a. One ninth pound of fudge b. One fourteenth pound of fudge c. One fifth pound of fudge

Answers

Answer:

B

Step-by-step explanation:

one half lb divided by 7 people will equal one fourteenth

It’s answer B I’ve did the math and the guy above me is rig he

HURRY I NEED HELP. ASAP.

What are the coordinates of the quadrilateral STUV when reflected over the X-axis.

S(3,4), T(3,1), U(-2,1, V(-2,4)​

Answers

Step-by-step explanation:

here is the answer friend

The following figures are not drawn to scale but AB and CD are straight lines. Find x.

Answers

Answer:

x=60

Step-by-step explanation:

solve, 180-(90+x) = 180-(30+2x)

Need help ASAP.

Consider the given functions.

Which graph represents the given function?

Answers

The answer to this question is B

If a apple cost d dollars, which of the following expressions gives the cost for 20 apples in dollars?

Answers

Answer:

$ 20d

Step-by-step explanation:

Since each Apple costs d dollars , therefore 20 will cost , $ 20d .

The correct expression that gives the cost of 20 apples, in dollars, is 20a/d. So, correct option is A.

To find the cost of 20 apples, we need to determine the expression that correctly calculates the cost based on the given variables.

Given that a represents the cost of one apple in dollars and d represents the number of dollars, we can identify the expression that calculates the cost of 20 apples.

Let's analyze each option:

A. 20a/d: This expression calculates the cost of 20 apples by multiplying the cost of one apple (a) by 20 and then dividing by d. Therefore, this expression correctly gives the cost of 20 apples in dollars.

B. 20d/a: This expression calculates the cost of 20 apples by multiplying the number of dollars (d) by 20 and then dividing by the cost of one apple (a). This does not give the correct cost of 20 apples.

C. a/20d: This expression calculates the cost of 20 apples by dividing the cost of one apple (a) by 20 and then dividing by d. This does not give the correct cost of 20 apples.

D. 20/ad: This expression calculates the cost of 20 apples by multiplying 20 by d and then dividing by the cost of one apple (a). This does not give the correct cost of 20 apples.

Therefore, the correct expression that gives the cost of 20 apples, in dollars, is A. 20a/d.

To learn more about equation/expression click on,

https://brainly.com/question/26372151

#SPJ2

Complete question is:

If a apples cost d dollars, which of the following expressions gives the cost of 20 apples, in dollars?

A. 20a/d

B. 20d/a

C. a/20d

D. 20/ad

Help on this question

Answers

Answer:

is it me or can I not see anything

Jamie's chemistry textbook weighs 7/10 of a pound and his geometry textbook weighs 3/5 of a pound. How much more does the chemistry textbook weigh than the geometry textbook?

Answers

Jaime’s chemistry textbook weighs 0.1 pound more than his geometry textbook. In fraction form, it is 1/10 pound more.

Which of the following quadratic regression equations best fits the data
shown below?
Х
-4
-3
-2
-1
0
1
N
3
4
y
35
20
10
5
00
10
15
30
48
O A. y = 0.98x2 +3.06x+ 6.02
O B. y = 2.23x2 + 1.62x+ 5.26
O c. y = 3.72x2 + 2.94x + 3.21
O D. y = 4.63x2 + 0.84x+ 4.14

Answers

Answer:

C

Step-by-step explanation:

The method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.

What is graph?

A graph is a intersection of {x} and {y} axis. On the graph, the coordinate points can be plotted in the form (x, y). In this, {x} represents the horizontal distance along the {x} axis and {y} is the vertical distance along the {y} axis.

Given is to identify the methods that are not used on graphs to lead the reader to misinterpret the graph.

The method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.

Therefore, the method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.

To solve more questions on graphs, visit the link below-

https://brainly.com/question/17267403

#SPJ7

simplify 18÷3x2+1 please

Answers

Answer:

the answer is gonna be

6x^2+1

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\huge\textsf{Just do PEMDAS}\\\\\\\huge\textsf{Parentheses}\\\\\huge\textsf{Exponents}\\\\\huge\textsf{Multiplication}\\\\\huge\textsf{Division}\\\\\huge\textsf{Addition}\\\\\huge\textsf{Subtraction}[/tex]

[tex]\large\textsf{18 }\div\large\textsf{ 3 }\times\large\textsf{ 2 + 1}\\\\\\\large\textsf{18 }\div\large\textsf{ 3 = \bf 6}\\\\\\\large\textsf{6 }\times\large\textsf{ 2 + 1}\\\\\\\large\textsf{6 }\times\large\textsf{ 2 = \bf 12}\\\\\\\large\textsf{12 + 1}\\\\\\\large\textsf{= \bf 13}\\\\\\\boxed{\boxed{\huge\textsf{Answer: \bf 13}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Or you could if your equation is: }\\\\\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ + 1}[/tex]

[tex]\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ + 1}\\\\\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ = \bf 6x}\mathsf{\bf ^2}\\\\\large\textsf{= \bf 6x}\mathsf{\bf ^2 \ + }\large\textsf{ \bf 1}\\\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 6x}\mathsf{\bf ^2}\large\textsf{ \bf + 1}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Other Questions
Which of the following statements is true?A. An HIV-positive person can stay healthy as long as they start HIV medication and continue taking the medicine as prescribed.B. At the moment, there are no medications that control HIV so that someone who is HIV-positive can manage the virus and live longer.C. HIV is the illness that follows once AIDS has weakened the person's immune system so that it cannot fight off infection. D. The human body can rid itself of HIV completely, just like it can with a number of other contagious viruses. Which point on the number line represents a drop in temperature of 3 degrees from 0 degrees? Please help! will give brainly According to What Makes History Usable?, what did looking at multiple narratives help students in Detroit do? Choose the best answer. Mohave Corp. is considering outsourcing production of the umbrella tote bag included with some of its products. The company has received a bid from a supplier in Vietnam to produce 8,000 units per year for $7.50 each. Mohave has the following information about the cost of producing tote bags:Direct materials $3 Direct labor 2 Variable manufacturing overhead 1 Fixed manufacturing overhead 2 Total cost per unit $8 Mohave has determined that all variable costs could be eliminated by outsourcing the tote bags, while 60 percent of the fixed overhead cost is unavoidable. At this time, Mohave has no specific use in mind for the space currently dedicated to producing the tote bags. Required:1. Compute the difference in cost between making and buying the umbrella tote bag.2. Based strictly on the incremental analysis, should Mohave buy the tote bags or continue to make them?3. Suppose that the space Mohave currently uses to make the bags could be utilized by a new product line that would generate $10,000 in annual profits. Recompute the difference in cost between making and buying the umbrella tote bag. Does this change your recommendation to Mohave? If so, how?4. Assume Mohave has a sustainability goal to increase the percentage of spending from local suppliers. If Mohaves managers are responsible for improving this metric, how might it impact their sourcing decisions?5. What other strategic or sustainability-related goals should Mohave consider before making a final decision? What happened a month after George Washington was appointed commander of the American army The mean points obtained in an aptitude examination is 167 points with a standard deviation of 20 points. What is the probability that the mean of the sample would differ from the population mean by less than 3.8 points if 76 exams are sampled A motorist drove home from work late one night, and fell asleep behind the wheel of his car. His car drifted across the middle of the road and struck another car. The other driver was killed instantly in the collision. Angered by the noise of the collision, a homeowner fired a gun out the window of his house at the car. The bullet struck and killed a bystander. Both the motorist and the homeowner were arrested and charged with common law murder.Which of the defendants likely would be found guilty?A. Both the motorist and the homeowner.B. The motorist.C. Neither the motorist nor the homeowner.D. The homeowner. what are the examples of intensive subsistence Agriculture? Ride N Style Inc. is a bus line with service to several major cities. It has several competitors that each offer service to one or two cities, and based on its current outlays, it cannot match or beat those competitors on price. Because of long-term contracts and an increase in the cost of gasoline, it is not possible to reduce expenditures at this time. Which of these strategies should Ride N Styles pursue instead?a. Close the business until the cost of us decreases. b. Pursue a diferented strategy. c. Compete based on intergroup rivalry, not in group rivalry d. Create a strateg group through mergers A cylinder contains 3.1 L of oxygen at 300 K and 2.7 atm. The gas is heated, causing a piston in the cylinder to move outward. The heating causes the temperature to rise to 610 K and the volume of the cylinder to increase to 9.4 L.How many moles of gas are in the cylinder?Express your answer using two significant figures. The Super Discount store (open 24 hours a day, every day) sells 8-packs of paper towels, at the rate of approximately 420 packs per week. Because the towels are so bulky, the annual cost to carry them in inventory is estimated at $0.50. The cost to place an order for more is $20, and it takes four days for an order to arrive. a. Find the optimal order quantity. pls help find the angle How many moles of atoms does H2O How many grams of h2o are needed to produce 45g of NO vedanta Excel In Opt. Mathematics - Book 98.Find the locus of a point which moves so thatIts distance from (1, 2) and (2, -3) are equal. cules son los factores de riesgo y cules son los factores de proteccin con los que cuenta la familia? The solutions to the equation 2x^2 + x - 1 = 2 are x = -3/2 or x = _______. All of the following are true about a corporation except: multiple choice a corporation is separate from its owners. a corporation issues bond certificates to its owners. a corporation may be either privately held or publicly held. a public sale refers to selling stock on an organized stock market. IN____________ NUTRITION , THE ORGANISMS DEPEND UPON ITS HOST FOR ITS FOOD .