A is the point (-4,5) and B is the point (5,8). The perpendicular to the line AB at point A crosses the y axis at point C. Find the coordinates of C.

Answers

Answer 1

Answer: Point C is (0, -7)

Step-by-step explanation:

For a general line y = a*x +b

A perpendicular line to this one will have a slope equal to -(1/a)

First, for a line y = a*x + b that passes through points (x₁, y₁) and (x₂, y₂) the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Then for a line that passes through the points A (-4, 5) and B (5, 8) the slope is:

a = (8 - 5)/(5  - (-4))  = 3/9 = 1/3

a = 1/3

Then, a line perpendicular to this one will have the slope:

a' = -(1/(1/3) = -3

Then the perpendicular line is something like:

y = -3*x + b

Now we know that this line passes through point A, then when x = -4, we have y = 5

if we replace these values we get:

5 = -3*(-4) + b

5 = 12 + b

5 - 12  = b

-7 = b

Then our line is:

y = -3*x - 7

This line intersects the y-axis at point C, we know that the y-axis corresponds to x = 0.

Then:

y = -3*0 - 7

y = -7

The point C is (0, -7)


Related Questions

Evaluate the expression.

(−1)6 *the 6 is an exponent *
The value of the expression is ?

Answers

Answer:

1

Step-by-step explanation:

(-1)(-1)= 1  

1 x (-1) = -1

-1 x (-1)= 1

1 x (-1)= -1

-1 x (-1)= 1

4. The total of 5 rows of 6 chairs. ​

Answers

Answer:

30

Step-by-step explanation:

please mark brainliest!!!

The state volleyball association invited 64 teams to compete in a tournament.after each round , half The teams were eliminated.which equation represents the number of teams,t, that remained in the tournament after r rounds

A. t= 64(0.5)^r
B. t=64(r)^0.5
C. t=64(1.5$^r
D. t=64(-0.5)^r

Answers

Answer:

A

Step-by-step explanation:

You take the 64 teams, split it in half, and then the exponent is r

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The equation that represents the number of teams t that remained in the tournament after r rounds is t = 64 x [tex](1/2)^{r}[/tex]

Option A is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 3x + 3 = 4 is an equation.

We have,

Number of teams = 64

The number of teams eliminated after each round = Half the team.

The equation represents the number of teams t that remained in the tournament after r rounds.

t = 64 x [tex](1/2)^{r}[/tex] ____(1)

Put r = 1, we must get 32 teams.

t = 64 x 1/2 = 32

Put r = 2 we must get 16 teams.

t = 64 x (1/2)² = 64 x 1/4 = 16

We see that (1) is the correct equation to represent the number of teams t that remained in the tournament after r rounds.

Thus,

The equation that represents the number of teams t that remained in the tournament after r rounds is t = 64 x [tex](1/2)^{r}[/tex]

Option A is the correct answer.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ5

Evaluate the function g(x) = –3x^2 + 8x – 1 for the given values of x
What is g (-2) ?
show ur work

Answers

Answer:

g(-2) = 3

x = -2.535 and -0.131

Step-by-step explanation:

Number 7, please help me

Answers

Answer:

oh dang.. imma head out, no big brain time for me..

Step-by-step explanation:

Is y=2x+7 a function?
Yes or no

Answers

Answer:

YES

Step-by-step explanation:

It is because the domain doesn't repeat.

There are no multiple outcomes for one domain.

Yes, it is a linear fuction

Please help me due in an hour will mark brainliest!!!

Answers

Answer:

B. 16 miles

Step-by-step explanation:

[tex] \: d = 3.2 \: m... (given) \\ \\ plug \: m \: = 5 \\ \\ d = 3.2 \times 5 \\ \\ d = 16.0 \\ \\ d = 16 \: miles[/tex]

please help i have no clue how to do this please solve and explain

Answers

The answer is c. 9z^7/y^6

A shopkeeper wants to sell pulses at a common rate.So he mixed three quality of pulses weighing 34.650 kg ,68.275 kg and 90.350 kg respectively . Find the total quality of pulse he has. What can you say about the shopkeeper?

Answers

Answer:

Q = 193.27 kg

Step-by-step explanation:

A shopkeeper mixed three quality of pulses weighing 34.650 kg ,68.275 kg and 90.350 kg respectively.

We need to find the total quality of pulse he has. It means, total quality of pulse he has is :

Q = 34.650 + 68.275 +90.350

= 193.27 kg

Hence, he has 193.27 kg pulse.

There is a flowerbed that is in the shape of a trapezium.Its area is 700m2.The sum of ts upper base and lower base is 70m.Find its height. longman workbook 5A p42 *10

Answers

Answer:

h = 16 m

Step-by-step explanation:

Given that,

The area of a trapezium, A = 700 m²

The sum of the length of the parallel sides = 70 m

The area of a trapezium is given by :

[tex]A=\dfrac{1}{2}\times \text{sum of parallel sides}\times height\\\\h=\dfrac{2A}{Sum}\\\\=\dfrac{2\times 700}{70}\\\\=20\ m[/tex]

So, the height of the flower bed is 20 m.

Which is the most accurate measurement for the line segment?

Answers

Answer:

Step-by-step explanation:

So, a line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length. The length of a line segment can be measured either in metric units such as millimeters, centimeters, or customary units like feet or inches.

The double line shows how many bananas are needed to make 1 loaf of banana bread.


# of loaves. #of banana

Space. 2 1/2

Space 5

4. Soace

Answers

Answer:

[tex]\begin{array}{cc}{Loaves} & {Banana} & {1} & {2\frac{1}{2}} & {2} & {5} & {4} & {10} \ \end{array}[/tex]

Step-by-step explanation:

Given

See attachment for number line

Required

Complete the table

From the number line;

[tex]0\ loaf = 0\ banana[/tex]

[tex]1\ loaf = 2\frac{1}{2}\ banana[/tex]

Multiply by 2 to get the equivalent of 5 bananas

[tex]2 * 1\ loaf = 2\frac{1}{2}\ banana * 2[/tex]

[tex]2 \ loaf = 5\ banana[/tex]

Multiply by 4 to get the equivalent of 4 loaves

[tex]1\ loaf = 2\frac{1}{2}\ banana[/tex]

[tex]4 * 1\ loaf = 2\frac{1}{2}\ banana * 4[/tex]

[tex]4 \ loaf = 10\ banana[/tex]

So, the complete table is:

[tex]\begin{array}{cc}{Loaves} & {Banana} & {1} & {2\frac{1}{2}} & {2} & {5} & {4} & {10} \ \end{array}[/tex]

I will give you 7 points please answer ASAP!!!!!!!

Answers

Answer:

304

Step-by-step explanation:

12 times 12 is 144 and 8 times 10 is 80 divided by 2 and then multiplied by 4.

find the value of given expression

=》
[tex] \sqrt{26 + 10} [/tex]

Answers

Answer:

answer is 6

Step-by-step explanation:

.............

A band is traveling to a new city to perform a concert. The revenue from their ticket sales is a function of the ticket price, x , and can be modeled with (x - 6)(250 - 5x). What are the two ticket prices at which the band would make no money at all?

Answers

Answer:

[tex]x=6,50[/tex]

Step-by-step explanation:

The revenue from their ticket sales is a function of the ticket price, x , and can be modeled with [tex](x-6)(250-5x)[/tex]

To find the two ticket prices at which the band would make no money at all, solve the following equation:

[tex](x-6)(250-5x)=0\\x-6=0\,,\,250-5x=0\\x=6\,,\,5x=250\\\\x=6\,,\,x=\frac{250}{5}\\\\x=6,50[/tex]

The two ticket prices at which the band would make no money at all is 6, 50.

Calculation of the two ticket prices:

Since the revenue from their ticket sales is a function of the ticket price, x , and can be modeled with (x - 6)(250 - 5x).

So here it can be like

(x - 6) (250 - 5x) = 0

x - 6 = 0, 250 - 5x = 0

x = 6, 5x = 250

x = 5, x = 50

hence, The two ticket prices at which the band would make no money at all is 6, 50.

Learn more about price here: https://brainly.com/question/24320257

Construct a scatter plot of the following given information showing the amount of time students spend doing homework per week and their overall GPA in school. Be sure to label the graph and answer any other questions.

Answers

Answer:  

Please look at the graph attached to find the x axis and y axis...

a) it has a postive association (becuase of the increment of the trendline)

b) it is linear becuase it is increased from the 0 value and up)

c) there is a outlier in the graph as you can see about four hours the GPA increased by 3.2 then back to 2.5

Hope this helps!!!

HELPP IVE BEEN STUCK ON THIS ONEE I WILL GIVE YOU BRAINLIEST MK SJJSJ.​

Answers

Answer:

We know the diameter is 3 inches. We need the radius to find the area. By dividing the dimater by 2, we get the radius of 1.5 inches. The answer is 7 inches squared.

Brainliest would be great.

two times a number plus three times a number equals 13. The sum of two numbers is 7. what are the numbers? write the numbers for least to greatest. ​

Answers

Answer:

4

Step-by-step explanation:

[tex]2+ 3 = 5 \\13-5= 8\\8 divided by 2=4 \\x=4[/tex]

Find the area of this triangle. Round to the nearest tenth

Answers

Answer:

127.5 square meters

Step-by-step explanation:

17 x 15=225

225/2

127.5 square meters

i have 100 apples i eat 52.5,how many i have​

Answers

Answer:

47.5

Step-by-step explanation:

Salma will run less than 28 miles this week. So far, she has run 19 miles. What are the possible numbers of additional miles she will run?

Answers

Answer:

Salma can run 1 to 8 more miles to run less than 28 miles in total

Step-by-step explanation:

28-19= 9 but she is running LESS than 28 miles so subtract 1 from that 9

help me pls 20 points

Answers

Answer:

1-left 2-middle 3-middle 4-right 5- right

Step-by-step explanation:

Find the equation of the line that contains the points whose coordinates are (−1, 0) ( − 1 , 0 ) and has slope 1/4

Answers

Answer:

[tex]\displaystyle y=\frac{1}{4}x+\frac{1}{4}[/tex]

Step-by-step explanation:

We want to find the equation of the line that passes through the point (-1, 0) and have the slope 1/4.

We can use the point-slope form given by:

[tex]\displaystyle y-y_1=m(x-x_1)[/tex]

We will substitute (-1, 0) for (x₁, y₁) and 1/4 for the slope m. Therefore:

[tex]\displaystyle y-(0)=\frac{1}{4}(x-(-1))[/tex]

Simplify:

[tex]\displaystyle y=\frac{1}{4}(x+1)[/tex]

Distribute. Thus, our equation is:

[tex]\displaystyle y=\frac{1}{4}x+\frac{1}{4}[/tex]

why was the harlem renaissance in harlem?

Answers

Answer:

The great migration drew to Harlem some of the greatest minds and brightest talents of the day. some 300, 000 African Americans from the South had moved North.

Step-by-step explanation:

If this is not useful look up Harlem Renaissance website for information

How is solving x/4 < −16 is different from solving x/-4 < 16 ?

Answers

Answer:

The denominator in the second equation is negative, so it changes/changed the values/value rather then the first.

Step-by-step explanation:

what is
5x + 20 = 5x + ??

Answers

Answer:

??=20

Step-by-step explanation:

hope this helps

I think it is 20 pppppp

wich one those not match?​

Answers

Answer:

D

Step-by-step explanation:

Answer: C

Step-by-step explanation:

it is 10% shades

How many positive 3-digit numbers are divisible by 11?

Answers

81 three divisible by one

I need to solve for x

Answers

Answer:

x=7

Step-by-step explanation:

[tex]\frac{x}{15}[/tex]=[tex]\frac{8}{17}[/tex]

17x=120

x=7.05882352941

x=7

Hope this helps! :)

The sum of two numbers is 115. Their difference is 21. Find numbers. I need to show my answer

Answers

The answer is 94 just subtract 21 from 115 & that’s equals 94.

Answer:

The answer is 73 and 42

Step-by-step explanation:

1. Subtracting 21 from 115 which gives you 94, but that wouldn't be the answer because its asking for two numbers with a difference.

2. From you subtract 21 from 94 which is 73, next subract 73 from 115 which gives you 42.

3. 73 + 42 is 115

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