Figure ABcD is a parallelogram. If point C lies on the line x=2, what is the y-value of point C?
Answers
The value of y in point C is 0. So, C is located at (2, 0) in the Cartesian plane.
Given that a parallelogram ABCD is shown in the Cartesian plane.
The points are:
A = (-1, 2)
B = (2, 3)
C = (2, y)
D = (-1, -1)
We are asked to find the value of y in the point C.
To find the value of y in point C, we can use the fact that the slope of line AB is equal to the slope of line DC, and the slope of line BC is equal to the slope of line DA.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:
slope = (y₂ - y₁) / (x₂ - x₁)
Let's calculate the slope of line AB and DC:
Slope of AB = (3 - 2) / (2 - (-1))
= 1 / 3
∴ Slope of DC = 1 / 3.
So,
1/3 = (y+1) / (2+1)
1/3 = (y + 1) / 3
y + 1 = 1
y = 0
Hence, we get the value of y in point C is 0.
[Note:- you can simply look at the graph and can determine the location of the point C]
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Related Questions
How many times larger than 2x10^3 is 6x10^6?
Answers
Answer: 5,998,000
Step-by-step explanation:
2x10^3= 2,000
6x10^6= 6,000,000
In translation, Use 1 x The Initial SIG FIGS, or first numbers. 10x10 is 100, and notice how 10 and 10 have 2 zeros, so 1x1 = 1 +00 is a way to construct the number.
In this case, the 10^x, the x can represent the number of zeros after our first value.
So, 6 + six zeros, or 6,000,000
and, 2 + 3 zeros, or 2,000
To find the difference, subtract the numbers from eachother and extract the absolute value, (meaning the final answer won't be negative).
So, 6,000,000 - 2,000 = 5,998,000, which is the answer to the prompt!
Hope this Helped!
(NO BOTS) NO TROLLS) help me with this answer!
(WILL BE REPORTED)
Answers
Answer:
2nd one
Step-by-step explanation:
Answer:
[tex]\frac{35}{7} =\frac{70}{14} =\frac{105}{21} =\frac{140}{28} =\frac{5}{1}[/tex]
Step-by-step explanation:
The unit rate is x:1, like 60 miles to 1 hour, or 60/1. To find the answer, put the number of textbooks over the number of students and then simplify the fractions- you will see that they all boil down to 5/1, or 5 textbooks per 1 student.
The function f(t)=6500(1.85)^{365t}f(t)=6500(1.85)
365t represents the change in a quantity over t years. What does the constant 1.85 reveal about the rate of change of the quantity?
Answers
Answer:
The function is *growing* exponentially at a rate of *0.85%* every *year*
Step-by-step explanation:
Banana chips sell for 44¢ per 100 g.
How much would 450 g of banana chips cost?
Answers
Answer:
198 cents or
1.98 dollars
Step-by-step explanation:
Can someone help me with this, please?
Answers
Answer:
P(pink) = 0.225
Step-by-step explanation:
We should ignore the spinner picture because it is a trick!
We need to use the data provided in the table
We need to find the probabilty of getting pink out of all the colors:
[tex]\frac{pink}{purple\ +\ pink\ +\ yellow\ +\ blue} = \frac{9}{12\ +\ 6\ +\ 9\ +\ 13}\\ = \frac{9}{40} = 0.225\ \ (22.5\%)[/tex]
We use the probability notation:
P(pink) = 0.225
phineas has more jolly ranchers than alan. if alan has 10 jolly ranchers how many do they have in total
Answers
Answer:
We cannot know.
Step-by-step explanation:
It only mentions that Phineas has more jolly ranchers than Alan. Since Alan has 10 jolly ranchers, the number of jolly ranchers Phineas could have is 11, 12, 13, 14... and so on. Phineas could have 1 billion jolly ranchers.
the car ride from kileys house to the airport
Answers
Answer:
this question provides no content for me to answer but i want the points and i will be taking them Thankyou!
Step-by-step explanation:
here is the same sentence translated in spanish
el viaje en coche desde la casa de kileys hasta el aeropuerto
PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
The formula for the volume of a cylinder is
V = πr2
h, where r is the radius and h is the height.
A cylinder has a radius of 3 cm and a height
of 10 cm.
Which of the following is closest to the volume
of the cylinder?
a. 188 cm3
b. 283 cm3
c. 888 cm3
d. 8882 cm3
Answers
Answer:
b. 283 cm3
Step-by-step explanation:
V = pi * r^2 * h
V = 3.14 * 3^2 * 10
V = 282.6 rounded to 283cm3
Write an equation in slope-intercept form for the line that is parallel to y=x−6 and that passes through the point (−5,−6).
Answers
Answer:
Equation: y = x - 1
a slope of 1, and a y-intercept of -1Step-by-step explanation:
Given: y = x - 6
Slope-Intercept Form: y = mx + b -
where:
m is the slopeb is the y-intercept (when x = 0)Note: parallel lines have the same slope
1. Determine the slope and y-intercept of the given equation:
⇒ y = x - 6 has a slope of 1, and a y-intercept of -6
2. Find the equation of the line parallel line that passes through the point (-5,-6):
⇒ y = x + b [substitute -5 for x and -6 for y]
⇒ -6 = -5 + b [add 5 to both sides]
⇒ -6 + 5 = -5 + 5 + b
⇒ -1 = b
Equation: y = x - 1
3. Check your answer using point (-5, -6):
⇒ y = x - 1
⇒ -6 = -5 - 1
⇒ -6 = -6 ✔
This statement is correct
Therefore, the equation of the line is y = x - 1
please help. will mark brainliest
Answers
Step-by-step explanation:
since it is a straight line .
angle 4+ angle 5 = 180
40+ angle 5 = 180
angle 5 = 140
Answer:
A. 140
Step-by-step explanation:
well, one way to look at it is that ∠4 + ∠5 = 180
we are GIVEN the info that ∠4 = 40
therefore 180 - 40 - ∠5
180 - 40 = 140
Find the error in the solution. Identify the solution, and then solve the problem correctly.
In ΔKLM, m
Use the Law of Cosines to find the length of LM to the nearest tenth.
LM² = 23² - 20² - 2 (23) (20) cos 119°
LM² = 529 - 400 - 920 cos 119°
LM²≈575.02
LM²≈24.0
Answers
Eroor: LM² = 23² - 20² - 2(23)(20) cos 119°
Should be LM² = 23² + 20² - 2(23)(20) cos 119°
Lm² = 575.02 is incorrect
LM² = 1375.016 is correct
LM = 24.0 is incorrect
LM = 37 - 1 is correct
Answer: LM = 37 - 1
Step-by-Step Explanation:[tex]In\ \bigtriangleup KLM[/tex]
[tex]By\ using\ cosine\ gule:[/tex]
[tex]LM^2=LK^2+Km^2-2LK\times Km[/tex]
[tex]\times cos(119\textdegree[/tex]
[tex]LM^2=23^2+20^2-2\times 23\times 20\times -0.4848[/tex]
[tex]LM^2=529+400+920\times 0.4848[/tex]
[tex]LM^2=929+446+016=1375.016[/tex]
[tex]LM=\sqrt{1375.016}=37.0812=37.1[/tex]
[tex]Error:LM^2=23^2-20^2-2(23)(20)cos\ 119\textdegree[/tex]
[tex]Sholeld\ be\ 2M^2=23^2+20^2-2(23)(20)\ cos\ 119\textdegree[/tex]
[tex]Lm^2=575.02\ is\ incosrect[/tex]
[tex]LM^2=1375.016\ is\ correct[/tex]
[tex]LM=24.0\ is\ correct[/tex]
[tex]Lm=37-1\ is\ correct[/tex]
[tex]Answer:LM=37-1[/tex]
I hope this helps you
:)
Can somebody help me?
(2, 9) is the solution of the system of equations.
y = x + 7
y = 2x + 5
true or false
Answers
Answer:
True! Since if you replace x and y with 2 and 9, you will get 9 = 2 + 7 or 9 = 2 x 2 + 5 which makes the equation true.
Answer:
Yes it's TRUE that ( 2 , 9 ) is the solution of given equations .Step-by-step explanation:
In the question it is given that whether ( 2 , 9 ) is solution of system of equations that are y = x + 7 and y = 2x + 5 .
And we have to tell that it is true or false.
Solution : -
As in the question we're provided with ( 2 , 9 ) . So , Here :
Value of x is 2Value of y is 9( 1 )
[tex] \longmapsto \qquad \:y = x + 7[/tex]
Substituting value of x and y in equation :
[tex] \longmapsto \qquad \: 9 = 2 + 7[/tex]
[tex] \longmapsto \qquad \: \boxed{\bf{9 = 9}}[/tex]
As we see that left side is equal to right side .
Therefore ( 2 , 9 ) is the solution of y = x + 7 .( 2 )
[tex] \longmapsto \qquad \: y = 2x + 5[/tex]
Substituting value of x and y in equation :
[tex] \longmapsto \qquad \: 9 = 2(2) + 5[/tex]
[tex] \longmapsto \qquad \: 9 = 4 + 5[/tex]
[tex] \longmapsto \qquad \: \boxed{ \bf{9 = 9}}[/tex]
As we see that left side is equal to right side .
Therefore ( 2 , 9 ) is the solution of y = 2(x) + 5 .#Keep Learningthere are five number cards. 1 4 6 8 9 One of the cards is removed and the mean average of the remaining four number cards is 6 Which card was removed? You must show your working.
Answers
Answer:
The card removed was number '4'.
Step-by-step explanation:
9+8= 17
17+6= 23
23+1=24
You then must divide 24 by 4:
24/4 = 6
Therefore the card removed must have been 4.
I hope that helped and I hope it is correct lol.
Part F About what is the average change in distance for each increase of 1 in the iron number ? What does this mean in terms of the situation?
Part D
What is the y-intercept of the correct graph? What is the y-intercept of the incorrect graph? Are the y-intercepts the same?
Answers
The average change in distance for each increase of 1 in the iron number is -10, and the y-intercept of the graphs are not the same
The average change in distance?From the graph, we have the following points:
(x,y) = (4, 145) and (3,155)
The average change in distance is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{155 - 145}{3 - 4}[/tex]
Evaluate
m = -10
Hence, the average change in distance for each increase of 1 in the iron number is -10
What the average rate in (a) represents?The rate, -10 in (a) means that:
The distance decreases by 10 yards for each number of iron
The y-interceptThe y-intercept is the point where the graph crosses the y-axis
From the attached graphs, we have:
The correct graph has a y-intercept of 185The incorrect graph has a higher y-intercept (195)Hence, the y-intercept of the graphs are not the same
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When paying for higher education, scholarships and grants can be considered _____.
a)liquid assets
b)free money
c)easy money
d)sound investments
Answers
Answer:Liquid assets
Step-by-step explanation: Can be valued as cash
When paying for higher education, scholarships and grants can be considered liquid assets. Hence, option A is correct.
What is liquid assets?Liquid assets are assets that can be quickly converted into cash. Although while your assets are valuable possessions that may be traded for cash, not all of them can be sold immediately away for cash or without suffering a loss. A common liquid asset is cash.
Liquid assets include cash on hand, cash stored in a bank, and possessions that can be quickly and readily converted into cash. Common liquid assets include shares, bonds, certificates of deposit, and stocks.
No, an automobile is not considered to be a liquid asset. A car is regarded as a tangible asset that depreciates over time, is more difficult to sell, and is more subject to market swings. It is also challenging to make a quick turn.
Thus, option A is correct.
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A person's paycheck varies directly as the number of hours worked. Bill received $75 for 15 hours. How much would he receive for working 32 hours?
Answers
Answer:
$160
Step-by-step explanation:
75/15=5 which means he makes $5 per hour
5*32=160
Well my question says Mona 28.086 seconds. Ashley 27.23 Seconds what's the difference of times second
Answers
Answer:
0.856 seconds
Step-by-step explanation:
just subtract mona's time from ashley's
A bag contains 6 blue marbles, 2 red
marbles, 4 yellow marbles, and 8 green
marbles. What is the probability of drawing
a red marble at random from the bag?
Answers
Here we have to use combination because the marble is chosen at random.
Probability = x/total
x= 2C1 =2
Total= 20C1 =20
Probability = 2/20 = 1/10
HOPE THIS HELPS :)
Which system of equations is represented by the graph?
one parabola opening upwards and one parabola opening downwards intersecting at points (2, 12) and (-2, 12)
y = x2 + 4x
y = –x2 + x + 12
y = x2 – 8
y = –x2 +16
y = x2 + 8
y = –x2 + 16
y = x2
y = –x2 – x –16
Answers
Answer:
See belowStep-by-step explanation:
Find the value of y when x = 2 or x = -2 to determine the system
It is easy to calculate and confirm the correct equations
y = –x² + 16y = x² + 8See the attached to verify the answer
Check option C
y=-x²+16Put (2,12)
12=-(2)²+16=-4+16=12And
y=x²+8Put(-2,12)
12=(-2)²+8=4+8=12Hence verified
Option C is correct
In julie's class there are 18 girls and only 6 boys. What percent of the class are boys?
Answers
Answer:
25%
Step-by-step explanation:
18+6=24
[tex] \frac{6}{24} [/tex]
6÷24=0.25
0.25×100=25%
Solve: (x + 1)(x ^ 2 - 5x + 10) - 12 = 0
Answers
[tex]~~~~~(x+1)(x^2 -5x +10) -12= 0\\\\\implies x^3 -5x^2 +10x +x^2 -5x +10 -12 =0\\\\\implies x^3 -4x^2 +5x -2 =0\\\\\implies x^3 -2x^2-2x^2+4x+x-2=0\\\\\implies x^2(x-2)-2x(x-2)+(x-2)=0\\\\\implies (x-2)(x^2 -2x +1)=0\\\\\implies (x-2)(x-1)^2 = 0\\\\\implies x =2 , ~~ x = 1[/tex]
What is the simplest form of (5x+2)(5x-2)
Answers
Answer:
Step-by-step explanation:
A waiter earns $128 for 6 hours
of work. The total included $86 in
tips. How much does the waiter
earn each hour?
with an equation
Answers
Answer:
$21.33
Step-by-step explanation:
If the waiter earns $128 for 6 hours, divide 128 by 6.
21.33...
Does anybody know this?
Answers
Answer:
here you go , all four completed, took me some time , hipe i was able to help you out tho
Who Is The Father Of Math?
Answers
Answer:
The father is Archimedes
Brainliest!!
Archimedes is the father of math. :)
Solve the system of equations: 4x+1=5(x−3y)−6
3(x+6y)+4=9y+19
Answers
Answer:
[tex](\frac{16}{3},- \frac{1}{9} )[/tex] or [tex]x=\frac{16}{3}, y=- \frac{1}{9}[/tex]
Step-by-step explanation:
Hello again!
We are given these two systems:
4x+1=5(x-3y)-6
3(x+6y)+4=9y+19
And we want to solve them for x and y.
First, let's do the distributive property to expand out what is in the parentheses.
4x+1=5(x-3y)-6 --> 4x+1=5x-15y-6
Now simplify 4x+1=5x-15y-6
Subtract 5x from both sides
4x+1=5x-15y-6
-5x -5x
__________
-x+1=-15y-6
Now add 15y to both sides
-x+1=-15y-6
+15y +15y
___________
-x+15y+1=-6
Subtract 1 from both sides
-x+15y=-7
Now for 3(x+6y)+4=9y+19:
3x + 18y + 4 = 9y + 19
Subtract 9y from both sides
3x + 9y + 4 = 19
Subtract 4 from both sides
3x + 9y = 15
Here is our system now:
-x+15y=-7
3x+9y=15
On 3x+9y=15, because all of the values are multiples of 3, we can actually divide it by 3.
3x+9y=15
÷3 ÷3
x + 3y = 5
So here it is again:
-x+15y=-7
x+3y=5
These equations can actually be solved using elimination! We will be adding these equations together to clear out a variable, solve for the uncleared variable, and then use the value of the uncleared variable to find the value of the cleared variable
So, add -x+15y=-7 and x+3y=5 together.
-x+15y=-7
+
x+3y=5
_____
18y=-2
Divide both sides by 18
y=[tex]-\frac{1}{9}[/tex]
Now substitute -1/9 as y into either -x+15y=7 or x+3y=5
Taking x+3y=5 for example,
x+3(-1/9)=5
multiply
x-1/3+5
Add 1/3 to both sides
x=5+1/3=16/3
So the answer is [tex]x=\frac{16}{3} , y=-\frac{1}{9}[/tex], or as a point, [tex](\frac{16}{3},- \frac{1}{9} )[/tex]
Hope this helps!
If Mary paid $20.44 for 7.3 pounds of strawberries, what was the price of 1
pound of strawberries?
Answers
Answer:
$2.31
Step-by-step explanation:
I NEED HELP PLEASE!!!!!
What's the answer to the question below?
A penny weighs 2.5 grams while a dime weighs about 2.27 grams. How much do a penny and two dimes weigh?
Answers
Answer:
[tex]\huge\boxed{\sf 7.04\ grams}[/tex]
Step-by-step explanation:
A penny = 2.5 grams
A dime = 2.27 grams
2 dimes = 2.27 × 2 grams
= 4.45 grams
Weight of a penny and 2 times:
= 2.5 + 4.54
= 7.04 grams
[tex]\rule[225]{225}{2}[/tex]
Find the product of (x − 3)^2.
x^2 + 6x + 9
x^2 − 6x + 9
x^2 + 9
x^2 − 9
Answers
Have a nice day
Kim was 11 years old seven years ago.
How old is she now? Write the equation
and solve.
Answers
Answer:
She would be 18 years old.
Step-by-step explanation:
Since she was 11 years old 7 years ago, the equation would be:
11+7=18
Answer:
The answer is 18
Step-by-step explanation:
11+7=18
If kim was 11 years old 7 years ago then you add the years it has been ago and then you get your answer 18
Please consider Brainliest for my answer is correct