A is the point (0, 8) and R is the point (5, 6). Find the point Con the y-axis such that angle ABC is 90°​

Answers

Answer 1

Answer:

(0, -13/2) or (0, -6.5)

Step-by-step explanation:

a point on the y-axis means x=0.

so, the solution is a point (0, y).

and I assume (5, 6) is not R but is B.

for the angle at B being 90 degrees, we are looking at a right-angled triangle, and basic Pythagoras has to be true :

c² = a² + b²

with c being the Hypotenuse (the line opposite of the angle with the 90 degrees).

in our case, this c is the connection from A to C.

and a and b are the connections AB and BC.

so,

AC² = AB² + BC²

the distance between two points is again calculated via Pythagoras, where the differences in x and y directions are the sides, and the distance itself is the Hypotenuse.

so, we get

(0-0)² + (8-y)² = (0-5)² + (8-6)² + (5-0)² + (6-y)²

(8-y)² = -5² + 2² + 5² + (6-y)²

64 - 16y + y² = 25 + 4 + 25 + 36 - 12y + y²

64 - 16y + y² = 90 - 12y + y²

64 - 16y = 90 - 12y

-26 = 4y

y = -26/4 = -13/2 = -6.5


Related Questions

i need help with this!!!!

Answers

Answer: 2. 5.

Step-by-step explanation:

Adding a few more points to this one plz answer the question in the picture

Answers

Answer:

The greatest number of arrangements possible would be 5

Step-by-step explanation:

If we look at the x values (in this case # of tulips remaining) we can find the number 20. And we see that there is a line going through it. We then stop at the point and go down to see what number it would fall on on the y axis.

She can have 5 arrangements if she wants 20 tulips left.

Find the area of the parallelogram.



48 square m
20 square m
30 square m
40 square m

Answers

The answer is 40 square m

Twice jack’s age plus 5 is 21.write and solve an equation.how old is jack

Answers

Answer:

  8

Step-by-step explanation:

If j represents Jack's age, we have ...

  2j +5 = 21

  2j = 16 . . . . . . subtract 5

  j = 8 . . . . . . . . divide by 2

Jack is 8 years old.

What is the length of the radius of the circle given the equation ( x + 5)² + (y - 6)² = 49?

Answers

Answer:

center: (-5,6)

Radius: 7

Step-by-step explanation:

Help!!

What is the value of -2 xy if x = -1 and y = 6?

-12
12
8
26

Answers

Answer:

12

Step-by-step explanation:

-2xy

Let x = -1 and y =6

-2 ( -1) (6)

Multiply

2 (6)

12

A bog contains the
letters in CHEESECAKE.
A letter will be drawn
from the bag and
replaced 220 times
What is a reasonable
prediction for the number
of times an E will be
drawn?

Answers

Answer:
88
hope this helps!

how many feet are in 306 inches​

Answers

1 inch = 0.0833 feet
306 inches: 0.0833 x 306 = 25.4898

Therefore, 25.4898 feet are in 306 inches.

Answer:

25.5

Step-by-step explanation:

There are 12 inches in a foot and therefore...

306/12=25.5

306 inches is 25.5 feet

The graphs above are of the lines y = -x+2 and y=x+1. The point of intersection of the linear equations is

Answers

See below

[tex]\\ \sf\Rrightarrow y=-x+2[/tex]

[tex]\\ \sf\Rrightarrow y=x+1[/tex]

Now

[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]

[tex]\\ \sf\Rrightarrow -2x=-1[/tex]

[tex]\\ \sf\Rrightarrow x=0.5[/tex]

Put in eq(2)

[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]

[tex]\\ \sf\Rrightarrow y=1.5[/tex]

What is the difference between the yearly wages of the highest paying job and lowest paying job, assuming Araceli will be paid for working 40 hours a week, 52 weeks a year

Answers

Answer:

Is there a picture?? I need a picture

Step-by-step explanation:

62 out of 100 children prefer strawberries. What percentage of children prefer strawberries

Answers

Answer:

it is 62

Step-by-step explanation:

62 out of 100 is equal to 62/100 or 62%

if you run 4 1/2 miles in three quarter of an hour, how many miles would you run in two thirds

Answers

Answer:4

Step-by-step explanation: each quarter of an hour is 1.5 miles they both can go into 12 so if you multiply 2*4 and 3*4 you get 8/12 and if you multiply 3*3 and 4*3 you get 9/12 then you subtract 9/12 by 8/12 to get so 1/12=1/2 miles so you would subtract 4 1/2 by 1/2 to get 4

Sammie pays $30 for a bag that she buys at a discount of 50%. What is the price of the bag without the discount?

A.
$30
B.
$45
C.
$60
D.
$80

Answers

Answer:

$60

Step-by-step explanation:

because 30 is 50% percent of 60

HELP!!! PLEAAASSEEEE

Answers

Answer:

RT

Step-by-step explanation:

please mark brainliest

2x+y=−1.5
y=3.5x+15.

Answers

Answer:

x=-3, y=4.5

Step-by-step explanation:

What is 9x8x7x4 ANswer in 1 second.(IKNOW THE ANSWER)

Answers

Answer:

2016

Step-by-step explanation:

ax4 + bx2 + c=0 (a>0) (c>0)
The quadratic equation has two solutions If
1)b2>4ac
2) b2-4ac>0

Answers

The quadratic equation has two solutions if b^2 - 4ac > 0

Given the equation ax^4 + bx^2 + c=0

Let P = x^2

Substitute into the formula to have:

a(x^2)^2 + bx^2 + c =0

The equation becomes aP^2 + bP + c = 0

For us to have a unique solution, the discriminant b^2 - 4ac must be greater than zero. Hence the quadratic equation has two solutions if b^2 - 4ac > 0

learn more on discriminant here; https://brainly.com/question/1537997

Write an algebraic expression for the following: A number that is 5 more than half of x

Options:
1. 5x x 1
2. 0.5x + 5
3. 5x
4. 0.5x - 5

Answers

Answer:

2. 0.5x + 5

Step-by-step explanation:

5 + 0.5x

Is mLBAF = mLCEF? Explain.






Than you

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The Angles BAF and CEF are equal to one another, because they form pair of Alternate Interior Angles ~

So, the Correct choice is ~

Yes, They are Alternate interior Angles

[tex]꧁  \large \sf{itz0kaul } \: ꧂[/tex]

57 yard . ×/1 yard =171 ft.

Answers

Answer:

the answer should be b good luck

PLEASE NO LINKS AND NO NEGATIVITY!!!

Answers

Answer:

-2x + 8

Step-by-step explanation:

32x + 8 - 34x

(32 - 34)x + 8

-2x + 8

Answer:-

-2x + 8

Explanation:-

=> 32x + 8 - 34x

=> (32 - 34)x + 8

=> -2x + 8

please help asap for brainlist

Answers

Answer:

it's (2,-4)

hope it helps

Jesse collected 42 football cards and 28 baseball cards. Simplify the ratio of baseball cards to football cards in his collection

Answers

Answer:

3:2

Step-by-step explanation:

42:28

21:14

3:2

After Lois picks a value for b, Clark must solve the equation 2x + 7 - x = 4x + 2b – 3x - 3b.

Clark uses Lois's b, then tries to solve the equation by repeatedly guessing values of x until he guesses
the right one. However, for every x he picks, the left side is always 3 more than the right side. What
value of b did Lois give Clark?

Answers

The value of b Lois gave to Clark to satisfy the given equation is -7.

The given parameters;

2x + 7 - x = 4x + 2b – 3x - 3b

To obtain the value of b, simplify the equation as follows;

2x + 7 - x = 4x + 2b – 3x - 3b

collect similar terms together

(2x - x) + 7 = (4x - 3x) + (2b - 3b)

x + 7 = x - b

(x - x) + 7 = -b

0 + 7 = -b

7 = -b

-7 = b

b = -7

Thus, the value of b Lois gave to Clark to satisfy the given equation is -7.

Learn more about simplification of algebraic expression here: https://brainly.com/question/8956927

The table represents the function f(x).
x
-3
-2
-1
0
1
2
3
f(x)
-9
-6
-3
0
3
6
9
What is f(3)?
-9
-1
1
9

Answers

Answer:

f(3) = 9

Step-by-step explanation:

The value for f(3) is given in the table (last entry)

But one can see that the function, f, is:

f(x) = 3x

This works for all values.  f(3) = 3*3 or 9

The range of the function when x = 3 is f ( 3 ) = 9

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the input values of the function be x

where x = { -3 , -2 , -1 , 0 , 1 , 2 , 3 }

Let the output values of the function be y

where y = { -9 , -6 , -3 , 0 , 3 , 6 , 9 }

So , the range of the function when x = 3 is

f ( 3 ) = 9

Hence , the function is solved

To learn more about domain and range click :

https://brainly.com/question/28135761

#SPJ7

Find the regression​ equation, letting the first variable be the predictor​ (x) variable. Using the listed​ lemon/crash data, where lemon imports are in metric tons and the fatality rates are per​ 100,000 people, find the best-predicted crash fatality rate for a year in which there are 425 metric tons of lemon imports. Is the prediction​ worthwhile?
Lemon Imports Crash Fatality Rate
232 16
268 15.7
361 15.4
472 15.5
535 15

Answers

The regression analysis evaluates the amount of relationship that exists

between the variables in the analysis.

The regression equation is; [tex]\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}[/tex]The prediction is worthwhile because it gives an idea of the observed Crash Fatality Rate and it is therefore approximately correct.

Reasons:

First part;

The given data is presented as follows;

[tex]\begin{tabular}{|cc|c|}Lemon Imports (x) &&Crash Fatality Rate\\232&&16\\268&&15.7\\361&&15.4\\472&&15.5\\535&&15\end{array}\right][/tex]

The least squares regression equation is; [tex]\overline y = b \cdot \overline x + c[/tex]

Where;

[tex]b = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]

[tex]\overline y[/tex] = The mean crash fatality = 15.52

[tex]\overline x[/tex] = The mean lemon import = 373.6

Therefore;

[tex]b = \dfrac{-171.36 }{67093.2 } = -0.00255[/tex]

c = [tex]\overline y[/tex] - b·[tex]\overline x[/tex] = 15.52 - (-0.00255)×373.6 = 16.47268

Therefore;

The regression equation is [tex]\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}[/tex]

Second part;

When the imports is 425 metric tons of lemon, we have;

[tex]\overline y[/tex] = -0.00255 × 425 + 16.47268 = 15.38893 ≈ 15.4

Therefore;

When the import is 425 metric tons, the Crash Fatality Rate ≈ 15.4

Given that the predicted value is between the values for 268 and 535, we

have that the prediction is approximately correct or worthwhile

The prediction is worthwhile

Learn more about regression equation here:

https://brainly.com/question/5586207

hola pueden ayudar a=6cm b=8cm c?

Answers

Answer:

c=10cm

Step-by-step explanation:

a²+b²=c²

6²+8²=c²

36+64=c²

100=c²

10=c

A bottle of juice costs $1.85, and a pack of 6 bottles of lemonade costs $5.40. If Jimmy
buys 3 bottles of juice and a dozen bottles of lemonade, how much money should he
spend in all?

Answers

Answer:

Step-by-step explanation:

+

1.85

5.40

_____

  6.      2    5

What is the solution to the equation? −12x=−3
Enter your answer in the box.

Answers

Answer:

The answer is 1/4 or 0.25

Step-by-step explanation:

The question is very simple. All we have to do is figure out what -12 multiplied by ______ equals -3

So we can just divide -3 by -12 to find the answer.

-3 / -12 = 0.25

So the answer is 0.25 or 1/4 in fraction form.

Hope this helps! :)

૮ ・ﻌ・ა

Answer:

x = 1/4

Step-by-step explanation:

−12x = − 3

Step 1: Divide both sides by -12.

-12x/-12 = -3/-12

Answer:

x = 1/4

Can someone help me with this question

Answers

Answer:

$2.40

Step-by-step explanation:

Answer:

48 mph

Step-by-step explanation:

Since you get fined $12 for each mile per hour over and she was fined $96, we can set an equation to find how many miles per hour she was over:

12*x=96

x=8 mph over the speed limit

Since the speed limit is 40, then she was going 40+8=48mph

Other Questions
From 1775-1825 what issue most divided the United States? Due to their importance to our national security and economy, some industries are more susceptible to terrorist threats. Identify these industries: Which of the following is true of the Executive Office of the President? a. It includes the National Security Council. b. It is led by the Speaker of the House. c. It operates to serve the White House Chief of Staff. d. It assists the president in carrying out major duties. e. It is an advisory group made up of the heads of the fifteen major government departments. I dont quite understand these could someone walk me through it when they give the answer? Angelina has 32 cookies. Jerry had 51 cookies. If Jerry stole 14 of Angelina's cookies but then gave her 28 cookies, how many cookies do Jerry and Angelina have left?Having a hard time! The depth of the water at the end of a pier changes periodically along with the movement of tides. On a particular day, low tides occur at 12:00 am and 12:30 pm, with a depth of 2. 5 m, while high tides occur at 6:15 am and 6:45 pm, with a depth of 5. 5 m. Let t = 0 be 12:00 am. Which periodic function, sine or cosine, would be a simpler model for the situation? Explain. 1) Answer two questions from system A and BSystem A=8x-3y=02x+7y=3System B=8x-3y=08x+28y=12A. Replace one equation with a multiple of itselfB. Replace one equation with a multiple of the other equationC. Replace one equation with itself where the same quantity is added to both sidesD. Replace one equation with itself where a quantity is added to only one side2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?A. YesB. NO In Miranda v. Arizona, the United States Supreme Court declared thatA. illegal aliens have the same right to an education as United States citizensB. evidence seized during an illegal search cannot be used in courtC. affirmative action programs cannot employ numerical quotasD. police must inform criminal suspects of their constitutional rights before questioning suspects after arrestE. the death penalty is constitutional so long as juries are supplied with sentencing guidelines A system of two linear equations has infinitely many solutions. The first equation is y=5x+3. What is the value of p in the second equation if the second equation is represented by 10x2y=p?p= The breathing rate of an aquatic animal is more than that of of a terrestrial animal . Why ? what is the least number of plums that can be shared equally among 6, 9, or 12 children At room temperature Bromine is a liquid and lodine is a solid, what can be inferredabout the intermolecular forces of these two elements? Graph: Is it a function? (Yes / no) why or why not? Read the sentence.Marcel worked on his painting for hours during the blizzard.What is the function of the word during in the sentence?prepositioninterjectionadverbconjunction do muscle and bone weigh more than fat Structures in Poetry:QuestionRead this line from the poem.23Neighbors(keep your bikeson your own side)by Michael SpoonerThe space in this line is most likely used tolect one:Somepeople like toput up a fencea hickety rickety white painted pickety(keep your bikeson your own side)FENCEOshow that two people are talkingDshow how fences separate peopleto tell the streetwhere the street should beto tell the neighborsthat side's you /this side's me.Dsuggest the speaker is confusedODirritate the reader what was stored when you bent the ruler in your left hand? by 1856, the republican party was a coalition of antislavery democrats, northern whigs, free soilers, and know-nothings. the republicans were a mixed group, but they quickly rose as the major alternative to the democratic party throughout the north. what was the republican partys platform and beliefs regarding slavery? i need help please thanks What is the slope and y-Intercept of the equation 3(y 2) + 6(x + 1) - 2 = 0?A. Slope = -2, y-intercept = 2/3B Slope = 2, y-intercept =2/3C Slope = -2, y intercept = -2/3D Slope = 2, y intercept= -2/3E Slope = -2, y intercept = 3/2