Mathematics College

A vertex of square is at(1,1) and its two parallel sides are y=x and y=x+1. find the equation of the remaining sides.Show your work;
note:
[ans:x+y=2,x+y=1 or x+y=2 ,x+y=3]
Be away from links,random answers:​

Answers

Answer 1

Answer:

[tex] \displaystyle y = - x + 2[/tex]

[tex]y = - x +1[/tex]

Step-by-step explanation:

we are given a vertex of a square i.e (1,1)

and the equations of the two parallel sides

notice that, the given vertex coordinates satisfy one of the parallel side i.e y=x which means that (1,1) points lie on one of Parallel sides

remember that,

every angles of a square is 90°

therefore,

we need to figure out the remaining Perpendicular line of the given Parallel sides so

let's figure out the perpendicular line of y=x line

recall that,

Parallel lines have the same slope thus

[tex] \displaystyle m_{ \rm perpedicular} = - 1[/tex]

since we are given a vertex the equation of the perpendicular line should be

[tex] \displaystyle y - 1 = - 1(x - 1)[/tex]

distribute:

[tex] \displaystyle y - 1 = - x + 1[/tex]

add 1 to both sides:

[tex] \displaystyle y = - x + 2[/tex]

to figure out the second perpendicular line we can consider the coordinates (0.5,0.5) of y=x equation

so the slope of the perpendicular line is -1

and the equation:

[tex]y - 0.5 = - 1(x - 0.5)[/tex]

distribute:

[tex]y - 0.5 = - x +0 .5[/tex]

add 0.5 to both sides:

[tex]y = - x +1[/tex]

and we are done!

A Vertex Of Square Is At(1,1) And Its Two Parallel Sides Are Y=x And Y=x+1. Find The Equation Of The

Related Questions

The paper scissors pencils stickers and paint belong on the top shelf of the craft closet.

Select the best sentence that demonstrates the needed corrections for the sentence.

Group of answer choices

The paper scissors pencils stickers, and paint belong on the top shelf of the craft closet.

The paper scissors, pencils, stickers and paint belong on the top shelf of the craft closet.

The paper, scissors, pencils, stickers, and paint belong on the top shelf of the craft closet.

The paper, scissors, pencils, stickers and, paint belong on the top shelf of the craft closet.

Answers

Answer: The paper, scissors, pencils, stickers, and paint belong on the top shelf of the craft closet.

Explanation: When you are listing items, you need to place a comma in between them. The comma in between the “stickers” and “and” is the Oxford comma. When you lost multiple items, you need a comma after the word before “and”.

im pretty sure what the other guy said is right

PLEASE HELP ME!!!!! I REALLY NEED HELP!!!!!
Which coordinates represent point E? (3, 7) (4, 8) (7, 3) (8, 4)

Answers

Answer:

Hello! answer: 4, 8

Step-by-step explanation:

Remember x is before y so we go to 4 then up 8 hope that helps!

**ANSWER CORRECTLY FOR BRAINLIEST**

Answers

18 bags were inspected

Answer:

18 bags

Step-by-step explanation:

The dot plot shows the number of cough drops that were in each bag of cough drops inspected at a factory. How many bags of cough drops were inspected?

Note: Each dot represents one bag. The placement of the dot represents how many drops were in each bag (so there was 1 bag with 28, 3 with 29, etc)

First, list the amount of bags there are with a certain amount of cough drops.

Number of bags with...:

28: 1

29: 3

30: 0

31: 3

32: 5

33: 0

34: 0

35: 3

36: 2

Now, add the number of bags together:

1 + 3 + 4 + 5 + 3 + 2 = 18

18 bags

A classroom board is 48 inches wide and 32 inches tall.
Aba is putting ribbon along the outside edge of the board.
How many inches of ribbon will she need?
32 inches
48 inches
А
160 inches
B
112 inches
с
80 inches
D
65 inches

Answers

The amount of ribbon needed is the perimeter of the board 2 x length + 2 x width
Answer is A 160 inches

What’s the answer (no link I give brainly)

Answers

Y intercept has to be 15 because when x is zero y is 15, so either G or J, when we go ten miles, the gallons reduce by .4 so the slope is -.4/10 which is the same as -1/25 so the answer is G.

3. Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.
A = 55°, a = 12, b = 14 (1 point)
B = 72.90, C = 52.1°, C = 12.5; B = 107.1°, C = 17.9°, C = 12.5
B = 72.90, C = 52.1°, C = 11.6; B = 107.1°, C = 17.9°, c = 4.5
B = 17.1°, C = 107.9°, C = 10.3; B = 162.99, C = 72.1°, c = 10.3
B = 17.1°, C = 107.9°, C = 13.9; B = 162.99, C = 72.1°, C = 13.9

Answers

9514 1404 393

Answer:

  (b)  B = 72.90, C = 52.1°, C = 11.6; B = 107.1°, C = 17.9°, c = 4.5

Step-by-step explanation:

Sometimes, the best way to answer a multiple-choice question is to see which choices are self-consistent.

__

Side lengths and their opposite angle measures in a triangle have the same ordering, least to greatest. It is informative to look at the answer choices with this in mind.

1a. C < A < B; a < c < b . . . . inconsistent

2a. C < A < B; c < a < b.

2b. C < A < B; c < a < b . . . . consistent

3a. B < A < C; c < a < b . . . . inconsistent

4a. B < A < C; a < c < b . . . . inconsistent

Only answer choice 2 is self-consistent. It is the correct one.

The 6 students in Mrs. James' class were asked how many minutes It takes them to get to school in the morning. Here is what they answered:
15, 8, 7, 7, 11, 13
Find the mean and median travel times for these students.
If necessary, round your answers to the nearest tenth.
Mean: 1 minutes
x
3
?
Median: minutes
Explanation
Check
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Answers

Answer:

mean = 10.2 minutes

median = 9.5 minutes

Step-by-step explanation:

To find the mean, add up all of the results and then divide by the number of students in the sample. Therefore, the work should look like this: 15+8+7+7+11+13=61  --> 61/6=10.1666667

To find the median, order the results from least to greatest and then notice which number is the middle value. Since there is an even number of students in the sample, you will find that both 8 and 11 are the middle values when you put them all in numerical order (7, 7, 8, 11, 13, 15). Therefore, you must find the average of those two number in order to get the median. (8+11=19 --> 19/2=9.5)

The number p and 2/3 are additive inverses.

Drag and drop 2/3 and p to their correct positions on the number line.

Drag and drop the label “Sum” to the sum of 2/3 and p.

Answers

Answer:

The label “Sum” is located at 0

The label “p” is located between 0 and -1 (-2/3)

The label “2/3” is located between 0 and 1

Which equation represents a circle with a center located at (-2,2) and a circumference of 16π

Answers

C is the correct answer

Find x. Round your answer to the nearest integer.
15
37
O A. 8
B. 6
C. 9
D. 12

Answers

The value of x in the given triangle is 12, Option C is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.

here, we have,

from the given figure, we get,

The given triangle is a right angled triangle.

We need to find the value of x.

We know that cosx is adjacent side by hypotenuse.

Cos 37 = Adjacent side/ Hypotenuse

The value of cos37 degrees is 0.7654

0.7654 = x/15

15×0.7654=x

11.5 =x

12=x

Hence, The value of x in the given triangle is 12, Option C is correct.

To learn more on trigonometry click:

brainly.com/question/25122835

#SPJ7

What is the total of 12 monthly payments of 100.00 including tax

Answers

Answer:

The monthly payments of said financing plan will be $8.33.

Step-by-step explanation:

To determine what is the total of 12 monthly payments of $ 100.00 including tax, the following calculation must be performed:

100/12 = X

8.33 = X

Therefore, the monthly payments of said financing plan will be $8.33.

Hhhhhhhhhhhhhhhhfehhdgdhdhdu

Answers

Answer:

it should be 450 yards

Step-by-step explanation:

A= a+b/ 2

h=27+18/ 2·20= 450

Find the answer: 1/6 divided by 2

Answers

Answer:

1/12

Step-by-step explanation:

Hope it Helps!

1/12

Step-by-step explanation:

1/6 ÷ 2 = 1/12

Hope this helps, have a good day : )!

A horticulturist working for a large plant nursery is conducting experiments on the growth rate of a new shrub. Based on previous research, the horticulturist feels the average weekly growth rate of the new shrub is 3cm per week. A random sample of 45 shrubs has an average growth of 1.50cm per week with a standard deviation of 3cm. Is there overwhelming evidence to support the claim that the growth rate of the new shrub is less than 3cm per week at a 0.050 significance level?
Find the value of the test statistic. Round your answer to three decimal places, if necessary.

Answers

Answer:

Test statistic = - 3.354

We reject H0 and conclude that the growth rate of the new shrub is less than 3cm per week.

Step-by-step explanation:

H0 : μ = 3

H1 : μ < 3

The test statistic = (xbar - μ) / (s/ √n)

Xbar = 1.50

μ = 3

s = 3

n = 45

Test statistic = (1.5 - 3) / (3/ √45)

Test statistic = - 1.5 / 0.4472135

Test statistic = - 3.354

Pvalue, using the Pvalue from Z score calculator :

Pvalue = 0.00039826

α = 0.05

Pvalue < α ; We reject H0 and conclude that the growth rate of the new shrub is less than 3cm per week.

Which of the functions below could have created this graph?​

Answers

i think the answer is a

find m 135°
125°
55°
100°

Answers

Answer:

answer: m = 125

Step-by-step explanation:

parellograms add up to a total of 360 so m = 125 because 125 + 125 + 55 + 55 = 360 Hope this helps!

Step-by-step explanation:

here's your solution

==> sum of corresponding angles of parallelogram = 180°

==> angle J + angle k = 180°

==> 55° + k = 180°

==> k = 180° - 55°

==> k = 125°

[tex]hope \: it \: helps[/tex]

In order to drive from your home to the store, there has to be at least one operating route. Once a bridge is closed on a route, that route is no longer operating. The probability that bridge 1 is open is 0.8, bridge 2 is 0.93, bridge 3 is 0.9, bridge 4 is 0.92, and bridge 5 is 0.94. What is the probability you can drive to the store? Answer to 3 decimals.

Answers

Answer:

The probability of driving to the store is 0.969

Step-by-step explanation:

The remaining part of the question is attached

Solution

There are only two possible ways –  

a)  Route comprising of bridges 123  

b)  Route comprising of bridge 45

Probability of success while traveling through Route 123 = P(Bridge 1 open) x P(Bridge 2 open) x P(Bridge 3 open)

= 0.9 x 0.92 x 0.91

= 0.75348

P(Route 123 is closed) = 1 - 0.75348 = 0.24652

Probability of success while traveling through Route 45 =

P(Bridge 4 open) x P(Bridge 5 open)

= 0.94 x 0.93

= 0.8742

P(Route 45 is closed) = 1 - 0.8742 = 0.1258

To travel to store, atleast one route from 123 and 45 should be open.

Probability that you can drive to store :

= P(atleast one route from 123 and 45 is open)

= 1 - P(Both routes 123 and 45 are closed)

= 1 - P(123 is closed)*P(45 is closed)

= 1 - 0.24652*0.1258

= 1 - 0.031012216

= 0.968987784

~ 0.969

Use the property to complete the statement.
Distributive Property:

If 5(AB+8)=2, then
blank + blank
=2.

Answers

Answer:

5AB + 40 = +2

Step-by-step explanation:

IN FIRST BLANK (5AB)

SECOND BLANK (40)

Which of the following tables can be generated from the equation y = 2x + 1?
a: x y
2 1
3 2
4 3
5 4
b: x y
-4 1
-2 -1
0 -3
2 -5
c: x y
1 3
2 5
3 7
4 9
d: x y
0 3
1 5
2 7
3 9

Answers

Answer:

im just trying to get points lol

Step-by-step explanation:

78% btw this is a random number haha

Help me pls thanks so much

Answers

Answer:

A) 5 in

B) 3.93 in

C) 11.8 in

Step-by-step explanation:

A) 10π/π = 10in diameter

10/2 = 5 in radius

B) 10π/8 = 3.93 in

C) 3.93 x 3 = 11.8 in

I need answers ASAP please

Answers

Answer:

22

Step-by-step explanation:

Just count the units around it,

it's kind of blurry so you should just double check in case.

Would someone help me pls ?

Answers

the first option is the right one

If you do this for me you’ll get brain list

Answers

Answer:

A. full line across label 6 inches

B. Full line across label 10 inches

C. Full line across label 12 inches

Part B:

A. 18.84 inches

B. 31.4 inches

C. 37.68 inches

Step-by-step explanation:

Hope this helps

ZB=
Round your answer to the nearest hundredth.
С
2
B
?
7
A

Answers

Answer:

73.4 degrees

Step-by-step explanation:

Suppose the heights of the members of a population follow a normal distribution. If the mean height of the population is 68 inches and the standard deviation is 4 inches, 68% of the population will have a height within which of the following ranges?

Answers

Answer:

68% of the population will have a height between 64 and 72 inches

Step-by-step explanation:

According to the Empirical Rule, 68% of the population will have a height within the range of 1 standard deviation of the mean. This means that the range of possible heights for 68% of the population is between 68-4(1)=64 inches and 68+4(1)=72 inches

In a statistics class, students were asked how many siblings they have. The mean number of siblings for the class is 3.08 with a standard deviation of 1.61 siblings. The z-score for a student with four siblings is 0.57. Which of the following statements is the best interpretation of the z-score?

Answers

Answer:

The number of siblings for this student is 0.57 standard deviations above the mean number of siblings.

Step-by-step explanation:

yes

Which pair of expressions are equivalent?
O 4(x + 5) + 4x and 12x + 14
5a +3 (a + 4) and 6a +7
5 + 6 (a + 3) and 6a + 23
O 5 (a + 3) + 2a and 8a +3

Answers

Answer:

The third one is the answer

im bo.reddddddddddddddddddddddddddddd


plz help me

Answers

From the figure, we can notice that :

⊕   There are 4 striped blocks

⊕   The total number of blocks in the block set : 8

The ratio of striped blocks to total blocks in the block set is :

[tex]\sf{\implies \dfrac{4}{8}}[/tex]

[tex]\sf{\implies \dfrac{1}{2}}[/tex]

[tex]\sf{\implies 1 : 2}[/tex]

Answer : B

i need help can anyone please help

Answers

Answer:

vertically opposite angle

Step-by-step explanation:

How can we calculate the shaded area? Choose 2 answers: 1 A 4 1 1 1. + 4 4 4. 1 ) 4x​

Answers

Answer:

Sorry But there is no shape for me to look at to give you the answer :( Edit the question or just send me a screen shot of it in discord, mine is Mousycritter#2842

Step-by-step explanation:

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