Rectangle KLMN has vertices K(-5,6), L(-2,9), M(6, 1), and N(3,-2). Determine and state the coordinates of the point of intersection of the diagonals.

Answers

Answer 1

Answer:

(0.5,3.5)

Step-by-step explanation:

First, we can draw the image, as shown. The diagonals in the rectangle are the following lines:

from (-2,9) to (3,-2)

from (-5, 6) to (6,1)

To find where they intersect, we can start by making an equation for the lines. For an equation y=mx+b, m represents the slope and b represents the y intercept, or when x=0

For the first line, from (-2,9) to (3,-2), we can calculate the slope by calculating the change in y/change in x = (y₂-y₁)/(x₂-x₁). If (3,-2) is (x₂,y₂) and (-2,9) is (x₁,y₁), our slope is

(-2-9)/(3-(-2)) = -11/5

Therefore, our equation is

y= (-11/5)x + b

To solve for b, we can plug a point in, like (3,-2). Therefore,

-2=(-11/5)*3+b

-2=-33/5+b

-10/5=-33/5+b

add 33/5 to both sides to isolate b

23/5=b

Our equation for one diagonal is therefore y=(-11/5)x+23/5

For the second line, from (-5, 6) to (6,1), if (6,1) is (x₁,y₁) and (-5,6) is (x₂,y₂), the slope is (1-6)/(6-(-5)) = -5/11 . Plugging (6,1) into the equation y=(-5/11)x+b, we have

1=(-5/11)*6+b

11/11 = -30/11 + b

add 30/11 to both sides to isolate b

41/11 = b

our equation is

y = (-5/11) x + 41/11

Our two equations are thus

y = (-5/11) x + 41/11

y=(-11/5)x+23/5

To find where they intersect, we can set them equal to each other

(-11/5)x+23/5 = y = (-5/11) x + 41/11

(-11/5)x + 23/5 = (-5/11)x + 41/11

subtract 23/5 from both sides as well as add 5/11 to both sides to make one side have only x values and their coefficients

(-11/5)x + (5/11)x = 41/11-23/5

11*5 = 55, so 55 is one value we can use to make the denominators equal.

(-11*11/5*11)x+(5*5/11*5)x=(41*5/11*5)-(23*11/5*11)

(-121/55)x+(25/55)x = (205/55) - (253/55)

(-96/55)x = (-48/55)

multiply both sides by 55 to remove the denominators

-96x=-48

divide both sides by -96 to isolate x

x=-48/-96=0.5

plug x=0.5 into a diagonal to see the y value of the intersection

(-11/5)x + 23/5 = y = (-11/5)* 0.5 + 23/5 = 3.5

Rectangle KLMN Has Vertices K(-5,6), L(-2,9), M(6, 1), And N(3,-2). Determine And State The Coordinates

Related Questions

15÷7500
what is the answer

Answers

Answer:

Answer is 0.002

Step-by-step explanation:

15÷7500 = 0.002

Answer:

ampota ma,pakyu

Step-by-step explanation:

what is the answer dapalon taka karun

Write the digits used in binary number system

Answers

Answer:

Binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically "0" (zero) and "1" (one). The base-2 numeral system is a positional notation with a radix of 2.

factorise the expression 6x²y + 15xy²

Answers

Solution : 3xy(2x + 5y)

what fraction is equivalent to [tex]\frac{1}{6}[/tex]

Answers

2/12 (2 over 12) or 3/18 (3 over 18)

An airplane travels 4020 kilometers against the wind in 6 hours and 4800 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer:

Rate of plane 735 km/hr

Rate of wind 65 km/hr

Step-by-step explanation:

Calculation to determine the rate of the plane in still air

Let Va represent the velocity of the airplane

Let Vw represent the velocity of the wind

When flying with the wind:

(Va+Vw)*(6 hours) = 4800

6Va + 6Vw = 4800

6Vw = 4800 - 6Va

Vw=4800/6-Va

Vw = 800 - Va

When flying against the wind:

(Va-Vw)*(6 hours) = 4020 km

6Va - 6Vw = 4020

Substitute 800-Va for Vw and solve for Va:

6Va - 6(800-Va) = 4020

6Va -4800 + 6Va = 4020

12Va = 8820

Va=8820/12

Va = 735 km/hr

Therefore the rate of the plane in still air is 735 km/hr

Calculation to determine the rate of the wind

Rate of wind:

Vw = 800 - Va

Vw= 800 -735

Vw= 65 km/hr

Therefore the rate of the wind is 65 km/hr

please help me
solve (x+3) (x+7)

Answers

Step-by-step explanation:

Here, we'll need to multiply these two values together.  I'll use the expansion formula, which goes as follows:

[tex](a+b)(c+d)[/tex]

Expand

[tex]ac + ad + bc + bd[/tex]

Lets apply this to the following equation:

[tex](x+3) (x+7)[/tex]

Expand.

[tex](x*x) + (x * 7) + (3 * x) + (3 * 7)[/tex]

Simplify.

[tex](x^2) + (7x) + (3x) + (21)[/tex]

Remove parenthesis and add.

[tex]x^2+10x+21[/tex]

Answer:

x^2+10x+21

Find the value of x.

Answers

Step-by-step explanation:

here's the answer to your question

Which best describes the relationship between the lines with equations – 7x + 2y = 3 and
-6x + 3y = 2?

Answers

The association between the given lines is that they are 'neither perpendicular nor parallel.'

To prove, let's convert the given equations in their slope-intercept form i.e. 'y = mx + b'

-7x + 2y = 3

2y = 7x + 3

y = 7/2x + 3/2

-6x + 3y = 2

3y = 6x + 2

y = 2x + 2/3

This shows that both the lines have different slopes, as well as, intercepts of y. And,

[tex]m_{1} * m_{2}[/tex] = 2 * 7/2 ≠ -1

Thus, it is not perpendicular also.

Therefore, option D i.e. 'neither perpendicular nor parallel' is the correct answer.

Learn more about 'slope' here:

brainly.com/question/10973849

Select the best answer to describe the parabola

Answers

Positive parabola that has a minimum.

It’s positive if it opens upward, negative if it opens downward. It has a minimum if it opens upward, and maximum when it opens downward.

help me with this question math please

Answers

Answer:

42.94$ is the answer.....

A bus leaves Islamabad at 11:00 am and reaches Lahore at 3:00 p.m . If the distance bwtween Islamabad to Lahore is 380km , find the speed od the bus.​

Answers

Answer:

Step-by-step explanation:

Hello!

11h-> 3h

=> 4h

380/4 =>95km/h

The two bases of a trapezoid measure 14 inches and 10 inches respectively. The trapezoid's height is 8 inches. What is the area of the trapezoid?
192 square inches

1120 square inches

140 square inches

96 square inches

Answers

Answer:

A = 96 inches ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+b2)h  where b1 and b2 are the bases and h is the height

A = 1/2( 14+10)*8

A = 1/2(24)*8

A = 12*8

A = 96 inches ^2

[tex]\huge\mathfrak\red{❥︎ANSWER}[/tex]

A = 96 square inches..

Step-by-step explanation:

The area of trapezoid is given

A = 1/2 (b1+b2)h where b1 and b2 is base and h is height

A = 1/2 (14+10)*8

A = 1/2 (24)*8

A = 12 * 8

A = 96 square inches ....

9/7 = please answer me​

Answers

Answer:

[tex] \frac{9}{7} = 1.2857 = 1 \frac{2}{7} [/tex]

Answer:

Step-by-step explanation:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol {\frac{9}{7}=1\frac{2}{7} \ \ or \ \ 1.(28571)}[/tex]

Can you help please please helps

Answers

Answer:

2nd option

Step-by-step explanation:

Given

- np - 6 ≤ 3(c - 5) ← distribute

- np - 6 ≤ 3c - 15 ( add 6 to both sides )

- np ≤ 3c - 9

Divide both sides by - p , reversing the symbol as a result of dividing by a negative quantity.

n ≥ [tex]\frac{3c-9}{-p}[/tex]

Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so warm. What is the percent change in the depth of the snow?
The percent change in the depth of snow from yesterday to today is
%.

Answers

1.6/2 * 100 = 80%
100% - 80% = 20%

So the snow depth decreased 20%.

Please answer before 2:30!!!
There are 189 apples in a basket. How many children can share them equally?
List all numbers that apply.

Answers

For the equal distribution each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple.

What is equal distribution?

The distribution of a something in a way that each will get same amount.

How 189 can be divided equally?

If the distribution is equally then each child should take, either 1 or 2 or 3 an so on means same amount.

For this we will check that 189 is divisible by which numbers.

Now we can see that 189 is divisible by 1, 3, 7, 9, 21, 27, 63, 189. It is clear that each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple then the distribution will be equal means every child will have same amount of apple.

Therefore, the correct answer is 1, 3, 7, 9, 21, 27, 63, 189.

Learn more: https://brainly.ph/question/4734029

#SPJ2

Please hurry I will mark you brainliest

What is the slope of the line with an x-intercept of 4 and a y-intercept of -37

Answers

Step-by-step explanation:

Slope is [tex]\frac{rise}{run}[/tex], so the slope is [tex]\frac{y}{x}[/tex], which also equals [tex]-\frac{37}{4}[/tex].

Draw a line through the origin that has a slope of 1/2

Answers

Step-by-step explanation:

Slope = rise/run = 1/2

You need to plot these two points = (1,0) and (3,1) and make a line paas through

Answer by Gauthmath

A factory produces 1, 250, 000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys, N (in millions), being produced in t years?

Answers

The question is incomplete, the complete question is;

A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys being produced, n (in millions), in t years?

A. n= 2.5(1.5)/t, t cannot = 0

B. n= 1.5t^2 + 1.25

C. n= 1.5t + 1.25

D. n= 1.25(2.5^t)

Answer:

D. n= 1.25(2.5^t)

Step-by-step explanation:

This is an exponential growth problem. In mathematics, for an exponential growth problem;

P = Po(1 + r)^t

Where;

P= amount at time t

Po =initial amount

r= rate

t= time

In the context of the question we have;

n= 1.25(1 + 150/100)^t

n= 1.25(2.5)^t

find quotient in exponential forms 9power5
divided by
3 power 6 answer in detail​

Answers

Answer:

oooooooooooooooooooo

Answer:

[tex]{ \tt{ = \frac{ {9}^{5} }{ {3}^{6} } }} \\ \\ = { \sf{ \frac{( {3}^{2}) {}^{5} }{ {3}^{6} } }} \\ \\ { \sf{ = \frac{ {3}^{10} }{ {3}^{6} } }} \\ \\ = { \tt{ {3}^{(10 - 6)} }} \\ = { \sf{ {3}^{4} }}[/tex]

Sara brought a car for 16,586 and paid 1,038 for tax, title, and registration.Which equation shows about how much Sara paid, to the nearest hundred?

Answers

Answer:

P+T+t+R=TA

Step-by-step explanation:

this should help

Answer:

17,600

Step-by-step explanation:

16,586 + 1,038 = 17,624 ≈ 17,600

The difference between one half of a number and one fifth of it is 561. Find the number.

A. 2805
B. 1870
C. 5610
D. None of these answers

Answers

B. 1870
The question is basically:
1/2x - 1/5x = 561
Find the value of the variable x, is what we are going to answer.

I tested all the answer choices and find the answer choice B. 1870
EXPLANATION:
(1/2)(1870) - (1/5)(1870)
= 935 - 374
= 561
I HOPE I HELPED!


The length of a rectangle is 7 inches longer than it is wide. If the area is 60 square inches, what are the
dimensions of the rectangle?

Answers

Answer: 5 by 12

Step-by-step explanation:

Let's call the dimensions of the rectangle w and w+7

The area is 60, so we can do 60=w(w+7)

60=w^2+7w

w^2+7w-60=0          factor the quadratic equation

(w-5)(w+12)=0

w-5=0, w=5

w+12=0, w=-12

Since the length of a rectangle cannot be negative, w=5

the dimensions of the rectangle are 5 and 12

For the following equation,find y when x = - 3. Then find x when y = 2. Y = 6x + 8

Answers

Answer:

When

when x = - 3 then y=. -10

when y = 2 then x =. -1

Put the numbers into the boxes to represent the sum of the rational expression
given below.

Answers

Answer:

[tex]\frac{4x+9}{2x+5}[/tex]

Step-by-step explanation:

Cross multiply.Add like terms.Simplify.

For num in range (1,10) : if num is %2 = = 0: print (num)

Answers

yfd sat fltfurjbhviccyvihkjobkb 47 I have

What is the rule for the nth term for number sequence 2;5;7;12;19

Answers

Add the two previous terms together to get your next answer: 2 + 5 = 7 , 7 + 12 = 19.

order the following radicals from the least to greatest without using a calculator. show your reasoning

[tex]2 \sqrt{6} [/tex]
[tex]5 \sqrt{10} [/tex]
[tex]4 \sqrt{2} [/tex]
[tex]3 \sqrt{3} [/tex]

Answers

Answer:

2*sqrt6 = 2*apprx2 = 4

5*sqrt10 = 5*3.1 = 15.5

4*sqrt2 = 4*1.4 = 6.4

3*sqrt3  = 3*1.7 = 5.1

4, 5.1, 6.4, 15.5 or... 2sqrt6, 3sqrt3, 4sqrt2, 5sqrt10

 

help help help help

Answers

Answer:

abc is a triangle so ,

a is ( 9,6 )

b is ( 9,3 )

and c is ( 3,3 )

Simple geometry problem

Answers

Answer:

Step-by-step explanation:

I gather that you need to find the area of the sector and then subtract from it the area of the segment to get the area of the triangle (although there are other ways in which to find the area of the triangle).

The area of a sector is:

[tex]A=\frac{\theta}{360}\pi r^2[/tex] where our angle is given as 34, pi is 3.1415, and the radius is 5:

[tex]A=\frac{34}{360}(3.1415)(25)[/tex] and if you multiply and divide that all out you get that the area of the sector is:

A = 7.417

Now subtract from it the area of the segment, 2.209. to get the area of the triangle:

7.417 - 2.209 = 5.208

you should probably try reading the question first.

the arc measure and radius are given to you. now, it is up to you to use your brain and put two and two together. good luck.

Other Questions
What is the responsibility of the United States as the inventor of the atomic bomb, and as a world nuclear power? Helpppppppp pleaseeee!!!!!!!! which of the binomials below is a factor of this trinomial x2+6x-40 find the value of trigonometric ratio Jerod hopes to earn $1200 in interest in 4.9 years time from $24,000 that he has available to invest. To decide if it's feasible to do this by investing In an account that compounds monthly, he needs to determine the annual interest rate such an account would have to offer for him to meet his goal. What would the annual rate of interest have to be? Round to two decimal places Please Factor m^2-8m^5 A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6feet. Find the length of the ladder if the length is 2 feet more than its distance from thewall. What was the Marshall Plan, and what did it accomplish? 4. Solve the equation by factoring. 15 = 8x2 - 14xX35or x =420.42X=- orx53O5X=-3 or x =83x=-5 or x =8 What is the minimum pressure in kPa that must be applied at 25 C to obtain pure water by reverse osmosis from water that is 0.690 M in sodium chloride and 0.08 M in zinc sulfate? Assume complete dissociation for electrolytes. The manila folders are stored __________ the top of the shelf of the storage cabine 1. Im feeling tired. . So am I . 2. I dont like eggs. .. 3. I need a holiday. .. 4. I dont like milk. .. 5. I couldnt get up this morning. .. 6. Id love a cup of tea. . 7. Ive never been to Africa. .. 8. I was ill yesterday. 9. I should smoke less. .. 10. I spent the whole evening watching television . 11. I didnt know that Ann was in hospital. . yesterday kofi earned 50cedis mowing lawns. today kofi earned 60% of what he earned yesterday mowing lawns.How much did kofi earned mowing lawns today? If a polynomial function has n degree, then it can have at most (n - 1) ____________ in the graph. The United States Food and Drug Administration requires manufacturers of processed foods to publish nutrition information on the packaging at a considerable cost to the firms. How does this requirement affect economic efficiency? A. It moves the market toward economic efficiency because the additional information represents a positive externality that the FDA is forcing firms to internalize. B. It moves the market toward economic efficiency by reducing the market failure caused by a lack of information, enabling consumers to make better informed decisions regarding nutrition. C. It moves the market away from economic efficiency because the additional cost of labeling, which is not accounted for in the market price, creates a market failure. D. It moves the market away from economic efficiency because the additional cost of labeling adds little value but raises the price of food above marginal cost. What best describes what social interest groups generally premote? Plz tell me how to do question 18 Start from number 11 and keep adding 2 till you get to 201. how many times did you have to add 2 till you got to 201 Can someone explain how to do this? 51.Tandin Dorji was married to five women. First woman had threedaughters and five sons and the youngest wife had two sons. Twoof the remaining wives had one son each. If the ratio of children of5th wife was 1:3 with the children of other wives. How manychildren does Tandin have