A landscaper is marking off the corners of a rectangular plot of land. Three of the corners are in place as shown. What are the coordinates of the fourth corner?
Answers
The coordinates of the fourth corner is, (- 6, 2)
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
Three of the corners are,
⇒ (0, 5), (5, - 4), (- 1, - 7)
Let the coordinates of the fourth corner is, (x, y)
We know that;
Mid point of diagonal of rectangle intersect at one point, so we get;
⇒ (x + 5) / 2 , (y + (-4))/2 = ( (0 - 1)/ 2, (5 - 7)/2 )
⇒ (x + 5) / 2 = (0 - 1) / 2
⇒ x + 5 / 2 = - 1/2
⇒ x + 5 = - 1
⇒ x = - 6
⇒ ( y - 4 )/ 2 = (5 - 7) / 2
⇒ y - 4 = - 2
⇒ y = - 2 + 4
⇒ y = 2
Thus, The coordinates of the fourth corner is, (- 6, 2)
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Related Questions
A box contains orange balls and green balls. The number of green balls is eight more than two times the number of orange balls. If there are 59 balls altogether, then how many green balls and how many orange balls are there in the box?
Answers
Answer:
green=42
Orange=17
Step-by-step explanation:
59-8=51, 51÷3=17
orange=17
green =(2×17)+8=34+8=42
Answer #3 for 30 points FAST
Answers
6x + 8y = -22 y = -5 (for both plug in the second equation as y in the first equation if that makes sense) (first answer is (3, -8); second answer is (3, -5)
for elimination: 3x + 4y = 2.5 5x - 4y = 25.5 (adding will get you to 8x = 28 bc it gives you 0y; answer is (7/2, -2))
3x + 4y = 2.84 3x - y = 1.79 (gives you 3y = 1.05 if you subtract; answer is (0.48, 0.35))
Answer:
first answer is (3, -8); second answer is (3, -5)
Step-by-step explanation:
. Find the mzu.
R
S
7x + 22
A. 31°
B. 12°
C. 74°
D. 106°
4x-5
31
U
T
Answers
Answer:
a
Step-by-step explanation:
jab tak ki saja sunai gai hai kar lo aur fir
Which statement describes the system of equations?
[x+2y-2
Ix-2y--2
It has infinitely many solutions.
O It has no solution.
It has one solution (0, 1).
It has one solution (4, -1).
Answers
Answer:
x+2y=2.....(1)
x-2y=2......(2)
(substrate 1 in 2
x=2
substitutes x in 1
2+2y=2
4y=2
y=4/2
y=2
A helicopter was flying at 200 feet above sea level. It descended 80 feet to get a better look at the city. Then it ascended 120 feet. What was its final elevation?
Answers
Why?
200-80= 120
120+120=240
Hope this helps!
PLEASE HELP!!! K Is the midpoint of JL Find JK,LK and JL
Answers
Answer:
6x+1 = 8x - 7
8 = 2x
x = 4
JK = 6*4+1 = 25
KL = 8*4 - 7 = 25
A store buys a toy for $4.00. The store marks every items up by 155%.
What is the selling price of the toy?
Answers
Answer:
$10.2
Step-by-step explanation:
4.00 x 155 = 620
620/100 = 6.2
6.2 + 4.00 = 10.2
I need help with this question please
 
Supposed you know that Ls and LY are complementary, and that mLS=3(mLY)-90°
The value of mLY is
Someone help me with this question!!
Answers
9514 1404 393
Answer:
∠Y = 45°
Step-by-step explanation:
The sum of complementary angles is 90°.
∠Y + ∠S = 90°
∠Y + (3(∠y) -90°) = 90°
4∠Y = 180° . . . . . . . . . . . . add 90°, collect terms
∠Y = 45° . . . . . . . . . divide by 4
The measure of angle Y is 45°.
SOMEONE PLEASEEEEEE HELPPPP PLEASEEE only number 16!
Answers
(Look at the image attached!)
What is the value of x?
Enter your answer in the box.
x = ___°
Answers
Answer:
180-80-55
then you got the answer
s i g h
y o u w i l l g e t 5 0 p o i n t s .
Answers
Answer:
d=4
Step-by-step explanation:
because 6x4=24
-6x4=-24
6. (09.04 LC)
For the equation y = 6x2 – 9x + 22, choose the correct application of the quadratic formula. (5 points)
X
-6+1(6)- 4(-9)(22)
2(-9)
X
6 + (6)- 4-9)(22)
21-9)
--9 +1(-99) - 4(6)(22)
X
2(6)
X
9+(-9) - 4(6)(22)
2(6)
Answers
Given:
The quadratic equation is
[tex]y=6x^2-9x+22[/tex]
To find:
The correct application of the quadratic formula.
Solution:
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have,
[tex]y=6x^2-9x+22[/tex]
Putting [tex]y=0[/tex], we get
[tex]6x^2-9x+22=0[/tex]
Here, [tex]a=6,b=-9,c=22[/tex]. Using the quadratic formula, we get
[tex]x=\dfrac{-(-9)\pm \sqrt{(-9)^2-4(6)(22)}}{2(6)}[/tex]
The correct application of the quadratic formula is [tex]x=\dfrac{-(-9)\pm \sqrt{(-9)^2-4(6)(22)}}{2(6)}[/tex].
Note: The options are not in proper format.
Traffic on Rosedale Road in Princeton, NJ, follows a Poisson process with rate6cars per minute. Adeer runs out of the woods and tries to cross the road. It takes the deer a random time (independentof everything else), uniformly distributed between2and5seconds, to cross the road. If there is acar passing while the deer is on the road, it will hit the deer with portability2/3(independent ofeverything else). Find the probability of a collision.
Answers
Answer:
Step-by-step explanation:
From the given information:
6 cars pass on the road per minute. This implies that per minute, we will have:
6/60 passes = 0.1 car passing the road per second
Thus, for 5 sec; we have:
5 × 0.1 = 0.5
Let assume X signifies to be a random variable which denote the no of cars in the next 5 minutes and which follows a Poisson distribution.
i.e.
[tex]X \sim Poisson (0.5)[/tex]
[tex]\text{P(collision occurs) = 1 - P(no car coming in the following 5 seconds)} \\ \\ =1 - P(X=0)[/tex]
[tex]= 1- \dfrac{[e^{-0.5\times 0.5^0}]}{0!}[/tex]
[tex]= 1 - e^{-0.5}[/tex]
[tex]= 1 - 0.6065[/tex]
[tex]= 0.3935[/tex]
However, the possibility of collision supposes the deer requires 2 seconds to cross the road can be computed as follows:
Suppose Y denote the arbitrary variable that addresses the no. of cars passing the road in 2 secs, then;
[tex]Y \sim Poisson (0.2)[/tex]
[tex]\text{P(collision occurs) = 1 - P(no car coming in the following 2 seconds)} \\ \\ =1 - P(Y=0)[/tex]
[tex]= 1- \dfrac{[e^{-0.2\times 0.2^0}]}{0!}[/tex]
[tex]= 1 - e^{-0.2}[/tex]
[tex]= 1 - 0.8187[/tex]
[tex]= 0.1813[/tex]
find the measure of each given angle
Answers
9514 1404 393
Answer:
∠2 = 19°
Step-by-step explanation:
Angles that are equal to 161° are vertical and corresponding angles: 1, 4, 5.
Angles that are equal to the supplement of 161° are the remaining angles: 2, 3, 6, 7.
Angle 2 is the supplement of 161°:
∠2 = 180° -161°
∠2 = 19°
What is the fraction of 12 feet of rope cut into 1/3 pieces?
Answers
Answer:
1/4 hopefully this helps you with work
4. Alex decorates flower pots to sell in his shop. He knows that it takes 12 minutes to decorate a
flower pot. Alex works from 9.30 am until 12.50 pm on Tuesday. He takes 20 minutes for a coffee
break at 10.30 am.
How many flower pots does Alex decorate on Tuesday? *
(4 Points)
Enter your answer
Answers
Answer:
He decorates 5 flower pots
Step-by-step explanation:
60 / 12 = 5
Answer:
15
Step-by-step explanation:
9.30am-10.30am is 1h
1h=60min
60min/12min= 5
he has done 5 pots until his break,
after his break,
10.30am +20min = 10.50am
10.50am-12.50pm is 2h
2h=120min
120min/12min=10
10+5=15
He has done 15 pots
Victor tossed a paper cup 40 times and recorded how the cup landed each time. He organized the results in the table shown.
Outcome
Frequency
Right-side up
12
Upside down
7
On its side
21
Which statement is best supported by the results on the table, if Victor tosses the paper cup 100 times?
Less than 30 cups will land on either right-side up or upside down.
More than 50 cups will land on its side.
Less than 30 cups will not land on right-side up.
More than 50 cups will land on upside down.
Answers
Answer:
More than 50 cups will land on its side.
Please answer, I would be happy :)
Answers
what is 3.405 written in expanded form
Answers
I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS
Answers
If 5 men can do a piece of work in 20 days, in how many days could 10 men
do the same work?
Answers
Answer:
10
Step-by-step explanation:
(U can do mental calculation and guess it will be 10 ..) or else ....
Constant(k) = xy
k= 5 x 20
k= 100
Constant(k) = xy
100 = xy
100 = 10y
y= 100/10 = 10
= 10
I hope im right!!
50 points
tan⁻¹(√3) − cot⁻¹(−√3) is equal to ???
Can anyone solve this?
Answers
Answer:
I think it -pie/2 but I could be wrong
giving brainliest *easy*
Answers
Answer:
324 °
Step-by-step explanation:
Answer:
324
Step-by-step explanation:
Describe these points with a double inequality
Answers
Answer:
-2<x[tex]\leq[/tex]11
Step-by-step explanation:
The line spans from -2 to 11 so we know that those are the values that will be in our expression. -2 has an open circle, therefore, we do not include that value. So any value greater than -2 but not equal to -2 is included. -11 has a closed circle that ends the line segment. This means that any value less than 11 or greater than 11 is included. Therefore the expression would be x is greater than -2 and less than or equal to 11.
Points on the number will be defined by the inequality → -2 < x ≤ 11.
Symbols to describe an inequality on a number line: A hollow circle describes the value where the hollow circle is
located will not be included and the inequality will be denoted by
(< or >).
Solid circle describes the value to be included and denoted by(≤ or ≥).
Dark line between two numbers denotes the values of 'x'between the numbers,
From the number line given in the picture,
Dark line starts with a hollow circle from x = -2
Dark line ends with a dark circle at x = 11.
Inequality for this situation will be → -2 < x ≤ 11
Therefore, points on the number will be defined by the inequality → -2 < x ≤ 11.
Learn more about the inequality for a number line,
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-.25z=-1.25 What is Z?
Answers
Answer:
z=5
Step-by-step explanation:
*NEED HELP QUICKLY* son needs a math assignment done within the hour so he can submit it and get a decent grade. i tried helping but math isn’t my strong suit. Thanks.
Answers
Answer:
the horizon is at zero
across the horizon
what are the roots of the equation 3x^2 =7x+2
Answers
Answer:
Hope this helps!!!! ;)
Step-by-step explanation:
1. A triangle with the sides: 6 mm, 7 mm, and 5 mm.
a
unique triangle
b
more than one triangle
c
no triangle possible
2. A triangle with the angles: 24°, 29°, and 127°.
a
unique triangle
b
more than one triangle
c
no triangle possible
3. A triangle with the sides: 7 in, 3 in, and 10 in.
a
unique triangle
b
more than one triangle
c
no triangle possible
Answers
9514 1404 393
Answer:
(a) unique triangle(b) more than one triangle(c) no triangle possibleStep-by-step explanation:
1. Three sides lengths uniquely specify a triangle.
__
2. Three angle measures specify the shape of a triangle, but not its size. More than one triangle is possible with any given set of angle measures.
__
3. If the lengths do not satisfy 3 + 7 > 10, which they do not, then no triangle can be formed.
Find the area of this composite figure
Answers
Answer:
81 m²
Step-by-step explanation:
6x10=60
1/2(6)(7)=21
60+21=81
Someone please help me, I’m begging! I will brainliest and everything!! 20 (points) too
Answers
Answer:
I dont think its accepted
Step-by-step explanation:
because 2 out of 3 groups had majority of the people opposing the proposal so I say that it's not accepted.
