A rectangle has 4 coordinates.
The coordinate of the last vertex is (-2,-8)
The points are given as:
[tex]\mathbf{A = (-7,-4)}[/tex]
[tex]\mathbf{B = (1,6)}[/tex]
[tex]\mathbf{C = (6,2)}[/tex]
Calculate distance AB
[tex]\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{AB = \sqrt{(-7 - 1)^2 + (-4 - 6)^2}}[/tex]
Calculate distance CD
[tex]\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{CD = \sqrt{(x - 6)^2 + (y - 2 )^2}}[/tex]
Equate AB and CD
[tex]\mathbf{ \sqrt{(x - 6)^2 + (y - 2)^2} = \sqrt{(-7 - 1)^2 + (-4 - 6)^2}}\\[/tex]
Cancel out the squares
[tex]\mathbf{ (x - 6)^2 + (y - 2)^2 = (-7 - 1)^2 + (-4 - 6)^2}[/tex]
By comparison
[tex]\mathbf{x -6 = -7-1}[/tex]
[tex]\mathbf{y-2 = -4-6}[/tex]
So, we have:
[tex]\mathbf{ x = 6-7-1 }[/tex]
[tex]\mathbf{ x = -2}[/tex]
[tex]\mathbf{y = 2-4-6 }[/tex]
[tex]\mathbf{y = -8}[/tex]
Hence, the coordinate of the last vertex is (-2,-8)
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During the summer, Hector does yard work, and Geri babysits.To show their earnings, Hector makes a graph, and Geri makes a table. Which statement is true?
Answer:
Step-by-step explanation:
$6.59
Answer:
Hector earns $6.50 more per hour than Geri.
Rebecca is playing a video game that involves planting and cutting down trees. She moves up an energy level for each tree she plants, and she moves down a level for each tree she cuts. If Rebecca reaches energy level 10, she will earn bonus points. Rebecca is currently at energy level 4. The results of her next 3 turns are: Turn 1: 6 trees cut Turn 2: 8 trees planted Turn 3: 1 tree cut Answer the questions to find out whether Rebecca earned bonus points in the next 3 turns. Use the number line to help you add.
Using only addition, write an expression that represents Rebecca's score after these three turns. (Remember that she starts at an energy level of 4.).
Answer:
After turn one she will have 0 points !
Step-by-step explanation:
After turn one she will have 0 points
After turn 2 she will have 8 points
After turn 3 she will have 7 points
She will not earn bonus points because she could not reach ten points
(Hope this helps can I pls have brainlist (crown)☺️)
0.02349 in standard form to 3 significant figure is?
Answer:
I believe that would be 0.0235. I hope this helps you! :)
Answer:
0.0235
Step-by-step explanation:
dfrac{2349}{100000}
Round to the required significant figure: 0.0235
Is this equation in standard form?
3xy+ y2=4
Answer:
standard form is {Ax+By=c}
as mentioned above the given equation is not in {Ax+By=c}..
hence it's not in standard form
Answer:
ax+by=c so no
Step-by-step explanation:
-9 ÷ 7.2 as a decimal
Andre is paid $12 per hour at his caddying job and $9.50 per hour working at a local fast food restaurant. He would like to keep both jobs and earn at least $275.00 a week, but he can work no more than 25 hours. If x represents the number of hours Andre works at his caddying job and y represents the number of hours he works at the restaurant, which system models this scenario?
The equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25
Let x represents the number of hours Andre works at his caddying job and y represents the number of hours he works at the restaurant.
Since he earn at least $275.00 a week, hence:
12x + 9.5y ≥ 275 (1)
Also, he can work no more than 25 hours, hence:
x + y ≤ 25 (2)
Therefore the equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25
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3.
Write an equation for the translation of y = |x|.
6 units left
A. y = |x + 6|
B. y = |x – 6|
C. y = |x| + 6
D. y = |x| – 6
A game spinner has 8 sections, 3 red, 1 blue, 2 yellow, and 2 green. What is the probability of not spinning a green?
Answer:
3/4
Step-by-step explanation:
green takes up 1/4 so the rest that arnt green is the answer
whats the y intercept
Answer:(0,4)
Step-by-step explanation:
if a dog eats 20\21kilograms of food per day. How many kilograms will the dog it in the month of august
Answer:
620 to 651
Step-by-step explanation:
21x31=651
210x31=620
Step-by-step explanation:
if a dog eats 20\21kilograms of food per day. How many kilograms will the dog it in the month of august
august has 31 day's so
20/21×31=
=29.524
Needing help thanks!
erica recorded the number of sales she made during each of the first 4 months when she began her new career erica plottedthe data on a coordinate grid and she noted that the data correlate to an exponential equation as shown (image attached)
What is the domain of the function shown in the graph?
The domain of the function from the graph.
{10, 20, 40, 80}.
Option B is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The coordinates from the graph:
(1, 10), (2, 20), (3, 40), (4, 80)
The domain of the function from the graph.
= 10, 20, 40, 80
Thus,
From the graph, the domain of the function
{10, 20, 40, 80}.
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What type of property is 3x•2y=3•2•x•y
i need help with this
The queen marys 2’d height above water is about the same as a 14 story building, what is the queen mary twos height above water, pls help this is due today
Answer: Length 1,132 ft
Step-by-step explanation: Im not sure if this is the one your talking about but here.
What is the value of this??
Answer:
[tex]18[/tex]
Step-by-step explanation:
The value of 7 (10 - 2³) + 8 ÷ 2 is 18.
[tex]7(10 - {2}^{3} ) + 8 \div 2 [/tex][tex]7(10(2 \times 2 \times 2)) + 8 \div2[/tex][tex]7(10 - 8) + 8 \div 2[/tex][tex]7 \times 2 + 8 \div 2[/tex][tex]14 + 4[/tex][tex]18[/tex]Hope it is helpful.....The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The waiting times are shown below.
2
3
7
21
19
8
S
12
6
5
7
2
Find the mean waiting time. Round your answer to one decimal place.
8.0 min
7.2 min
7.5 min
6.8 min
The answer is 6.8 minutes
Can someone solve the whole thing for me please it isnt a test its an online assignment and ill give you brainliest if you solve all of them correctly
Answer: do you have a email so i can send it to you??
Step-by-step explanation:
×/2=y/3; y/4=z/4 và x+2y-z=10
Answer:
Step-by-step explanation:
[tex]\dfrac{x}{2}=\dfrac{y}{3}\\\\[/tex]
Cross multiply,
3x = 2y ------------(I)
[tex]\dfrac{y}{4}=\dfrac{z}{4}\\\\4*\dfrac{y}{4}=\dfrac{z}{4}*4\\\\y=z[/tex]
y = z --------------(II)
Plugin y =z in (I)
3x = 2z
3x/2 = z ----------------(III)
x + 2y - z = 10
From (I) and (III)
[tex]x + 3x - \dfrac{3x}{2}=10\\\\4x - \dfrac{3x}{2}=10\\\\Multiply \ the \ entire \ equation \ by \ 2\\\\2*4x - 2*\dfrac{3x}{2}=10*2\\\\8x - 3x = 20\\\\5x = 20[/tex]
Divide both sides by 5
x = 20/5
x = 4
Plugin x = 4 in (I)
3*4=2y
12 = 2y
2y = 12
y = 12/2
y = 6
z = y
z = 6
Eloise practiced piano for 2/5 of an hour. Sarah practiced piano for 3/4 of an hour.
How much longer did Sarah practice than Eloise?
Answer:
21 min longer
Step-by-step explanation:
For Eloise, we need to know how much 1/5 of an hour is in min. So divide 60 by 5 and we get 12min. So 2/5 of an hour is 2x12, giving us 24 min.
For Sahrah, we need to know how much 1/4 of an hour is in min. So divide 60 by 4 and we get 15min. So 3/4 of an hour is 3x15, giving is 45 min.
now that we know how long they practiced, we find the difference by subtracting. 45-24 = 21
fine all the prime factorization for 22, 44 show your work
Answer:
Step-by-step explanation:
Greatest common factor (GCF) of 22 and 44 is 22.
GCF(22,44) = 22
We will now calculate the prime factors of 22 and 44, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22 and 44.
anybody answer this question seriously please it has to be correct
Answer: that epuals 2/7
Step-by-step explanation:exam
Answer Asap!
<3 THX <3
XOXO Also giving out brainliest!
Answer:
4,3 becomes 0,0 after the changes
Answer:
32
Step-by-step explanation:
28 29 30
Help me please help I will give you 13 point because this is due help me please
Answer:
Expression 1: 16÷8 has the greatest value.
Step-by-step explanation:
16÷8 =2
whereas,
0.16÷8= 0.02
1.6÷8= 0.2
0.16÷0.8= 0.2
:)
HELP! QUICK! NO BOTS!
Pls help will give brainiest!!!
Answer:
ikaw mag sagut nyan tiba may utak ka? Tanga kaya mo na yan
Step-by-step explanation:
She's imperfect but she tries
She is good but she lies
She is hard on herself
She is broken and won't ask for help
She is messy but she's kind
She is lonely most of the time
She is all of this mixed up
And baked in a beautiful pie
She is gone but she used to be mine
Peter has 4 more candies than Jude. The two have a total of 30 candies. How many candies does Peter have? How many candies does Jude have?
( Using Linear Systems of Equation Substitution/ Elimination)
Answer:
jude:13 peter:17
Step-by-step explanation:
x is jude
x+x+4=30
2x+4=30
2x=26
x=13
finding peter's amount of candy:
13+4=17
Conner walked 10 miles in 5 hours. What was his walking rate in miles per hour?
Answer:
Step-by-step explanation:
Hi there!
According to the question;
Distance (d)= 10 miles
Time (t) = 5 hours
Now;
Rate = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{10}{5}[/tex]
Therefore, the rate of his walking rate in miles per hour is 2miles per hour.
Hope it helps!
Find 9% of $2005.00
Can anyone answer this ASAP!!!
Step-by-step explanation:
= [tex]\frac{9}{100}[/tex] × [tex]2005[/tex]
= [tex]\frac{3609}{20}[/tex]
= [tex]180\frac{9}{20}[/tex] or 180.45
please give me a brainliest answer
what is the answer of this? 4x²-9y²+36y-36=0
Answer:
x = + - 3(y-2)
this it ut
Answer:
It will be the oval, yw :)
Complete this division sentence. 9988 ÷ 23 =
Answer:
434 R2
Step-by-step explanation:
Hope this helps