Point G and point H are the same distance form point F. Which coordinates could be the location of point H?
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Note: It seems, you missed to add the correct option. But, I am solving the question to clear your concept anways.
Answer:
The coordinates of H are:
(x₂, y₂) = (2, 0)Step-by-step explanation:
Given the points
F(3, 2)G(4, 4)Since Point G and point H are the same distance from point F, therefore the point F is the mid-point of G and H
using the mid-point formula
[tex]m\:=\:\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
Since the point F is the mid-point of G and H, so
m = (3, 2)
as
(x₁, y₁) = (4, 4) = G (x₂, y₂) = H = ?Thus, substituting m = (3, 2), (x₁, y₁) = (4, 4) to determine coordinates of the point H (x₂, y₂)
[tex]m\:=\:\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(3,\:2\right)\:=\:\left(\frac{x_2+4}{2},\:\:\frac{y_2+4}{2}\right)[/tex]
so
[tex]\:\:3\:=\:\frac{x_2+4}{2}[/tex]
[tex]x_2+4=6[/tex]
subtract 4 from both sides
[tex]x_2+4-4=6-4[/tex]
[tex]x_2=2[/tex]
and
[tex]2=\:\frac{y_2+4}{2}[/tex]
[tex]\:y_2+4\:=\:4[/tex]
subtract 4 from both sides
[tex]y_2=0[/tex]
Thus, the coordinates of H are:
(x₂, y₂) = (2, 0)Note: It seems, you missed to add the correct option.
Related Questions
[tex]\\ \leq \beta \alpha \alpha[/tex]
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IF CORRECT I WILL GIVE BRAINLIEST!!
Please help me do this problem!
Screenshot below!
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Answer:
9
Step-by-step explanation:
The length of a rectangle exceeds the width by 2 cm . If the diagonal is 10 cm long , find the width of the rectangle .
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Length = 8cm
PLZZZ HELP!?!?!Graph the linear equation y=2x+4. Then identify the x-intercept.
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Answer:
x= -2
Step-by-step explanation:
To graph it. You know that the slope(m) is 2 and y-int is 4.
So put a point on (0, 4), (1, 6) and (0, 2) then use your ruler and just draw a straight line hitting all these points.
Ex.
When x=1
y=2x+4
y=2(1)+4
y=6
(1, 6) is a point
To solve for x-int, make y=0 because it's on the x-axis
y=2x+4
0=2x+4
-4=2x
x=-2
Answer: x intercept= (-2,0)
y intercept= (0,4)
Step-by-step explanation:
Indicate whether the following congruence statement is true or false.
50 points
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Step-by-step explanation:
Since line NL is not necessarily congruent to MQ (labelled with different congruent marks), triangle NLM is not congruent to triangle MQP.
Instead, triangles NLM and QPM are congruent.
This could true because of the markings of the triangles' sides and angles are in the same location.
But the statement labeled the lines wrong which makes them False
pls help im really dum
Answers
Answer:
1: h0m0zyg0us
2: 75%
3: 50%
Step-by-step explanation:
i think im not sure
A foreign country uses the stellar as its currency. Before a trip to that country, wants to exchange $ to stellars. Which of Bank A and Bank B has the better exchange rate? How many more stellars would get if exchanged h $ at the better exchange rate instead of at the other rate?
Answers
Stellar is a Brazilian cryptocurrency that is used to facilitate low cost and flexible payment. It was renamed lumens and is denoted XLM.
One stellar lumen is currently equal to $0.219096
For the purpose of the question and since it does not specify exchange rates for each bank, let's assume:
Bank A= 0.219097 to 1 US dollar
Bank B= 0.219099 to 1 US dollar
Using Bank A to exchange $1700 for stellars= $1700*0.219097= 372.464 stellars
Using Bank B to exchange $1700 for stellars= $1700*0.229042= 389.3714 stellars
From the above, we can see that Bank B has a better exchange rate as it is cheaper than Bank A(gives more stellar) . She should therefore use Bank B for her exchange.
Question in picture will give brainly
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Answer:
Number 10. is SAS I believe
Step-by-step explanation:
There are 5 cat owners to 6
dog owners. If there are 30 dog owners how many cat owners are there?
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Answer:
25 cat owners!!!
Step-by-step explanation:
It's a ratio word problem...
5:6
Multiply both Numerator and Denominator by 5.
25:30
May I please have Brainliest??!??
- ElizabethKate
Answer: 19
Step-by-step explanation: So 6+5=11 then 30-11=19
Tammy made fudge brownies and peanut butter brownies. Each batch of fudge brownies makes 7 pans. Each batch of peanut butter brownies makes 6 pans. Tammy made 5 batches and ended up with 31 pans of brownies. How many batches of each type of brownie did she make?
Hurry pls I need help
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Answer:
Fudge: 16.69230766
Peanut: 14.30769228
Step-by-step explanation:
7/5x+6/5x = 31/5
13/5x = 31/5
13x=31
x=2.38461538
Multiply x by 7 for fudge and 6 for peanut.
Where is the point (-1,4) located in the coordinate plane?
O A. In quadrant II
O B. On the x-axis
O C. In quadrant
O D. In quadrant III
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Answer: A
Step-by-step explanation:
If pllot the point -1 on x-axsis and 4 on y. Quadrant || on the top left corner :)
I NEED HELP ASAP ITS FOR TODAY PLZ SHOW YOUR WORK
Answers
Answer:
(1)-5x (2)-3x and 0x
Step-by-step explanation:
(1) -7x-2y=5
-7x-12=5
(2) y=-8x+5=-3x
y=-5x+5=0x
Question 1
Indicate the answer choice that best completes the statement or answers the question.
FINANCE Determine the amount of money in a savings account that provides an annual rate of 4% compounded monthly if the initial deposit is
$1000 and the money is left in the account for 5 years.
Oa $221.00
O b. S1221.00
Oc. $1490.00
Od $1000.00
Answers
Answer:
Correct choice: b. $1221.00
Step-by-step explanation:
Compound Interest
It occurs when the interest is reinvested on each compounding period. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
The initial deposit on a savings account is P = $1000. The account provides an annual rate of r = 4% = 0.04 compounded monthly. The value of n is 12 since there are 12 months in a year. The money is left in the account for t=5 years. Substituting the values:
[tex]{\displaystyle A=\$1000\left(1+{\frac {0.04}{12}}\right)^{12*5}}[/tex]
[tex]{\displaystyle A=\$1000\left(1.00333}\right)^{60}}[/tex]
A = $1221
Correct choice: b. $1221.00
The terminal point of Dis ( 1/2,3/2). What is cos 0?
O A. V 3
B. V3
Coc.
o D. V
SUBMIT
Answers
Answer:
(c). [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The cosine is the "x" coordinate of the terminal point on the unit circle.
Thus the answer is (c). [tex]\frac{1}{2}[/tex]
90 decimeters = _______________ millimeters
Answers
Answer:
900 millimeters
Step-by-step explanation:
Hopes this helps and have a great day:)
What is the reason for each step in the solution of the equation?
-6x = -2(a + 12)
Match the reason with the correct step in the equation.
Answers
After school, Shawn had a science club meeting for 1 hour, followed by a choir rehearsal that lasted for 45 minutes. The choir rehearsal ended at 5:30 P.M. What time did the science club meeting begin?
Include A.M. or P.M. in your answer Please help me fast !!!
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Answer:
3:45 P.M.
Step-by-step explanation:
SO we start at 5:30 P.M.
Going backwards 45 mins = 4:45 P.M.
Then backwards 1hr or 60 mins = 3:45 P.M
12 + x - 8 = 3 + 2x
Solve for x
Answers
Step-by-step explanation:
I used an online Algebra Calculator to check my answer against to gurantee my answer is 100% correct for you.
Please mark Brainliest.
I GIVE BRAINLIEST!!
Please explain you work!!!
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the slope is -10
rise over run
the line is declining 10 units for every one unit to the right
and the line hits the y-axis at + 2 so 2 = b
can somebody please help me i’ll gift you 40 points
Answers
Answer:
B and D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
she got 35 is positive 35
she bought something for 15 and something for 7 is negative 15 and 7
she got 10 is positive 10
+35 + (-15) + (-7) + 10
35-15-7+10
10x + 3 - 4x - 7 how do u solve this
Answers
Answer:
The answer is 6x-4 if you need to combine the like terms.
Step-by-step explanation:
So first you see if there are any like terms so I see 10x and -4x so I add them together and get 6x. I look for other like terms and find 3 and -7 and add those together so I get -4. Then you combine the 2 answers and get 6x-4. I hope this helps you! If you need any other help please let me know in the comments.
Answer:
6x-4
Step-by-step explanation:
I GIVE BRAINLIEST!
Explain your answer please!!
Answers
Answer:
y=3x-1
Step-by-step explanation:
First, we must find the slope of the equation. To do that we take two ordered pairs from the graph.
(2,5) (10,29)
The equation for slope is m=y2-y1/x2-x1
m=29-5/10-2
m=24/8
m=3
Now, we will find the variable B.
5=3(2)+b
5=6+b
-1=b
That's how we get the equation!
y=3x-1
Answer:y= 3x-1
Step-by-step explanation:
m= y2-y1/ x2-x1=
29-5/10-2=3
Now,use: y-y1= m(x-x1)
y-5=3( x-2)
y= 3x-1
Hayden plans to take a loan out to buy his Ultimate PC
Gaming Desktop. He will borrow $6,200 from the bank
at a rate of 3.5% annually. The length of the loan will be
5 years. How much interest will Hayden have to pay on
the loan? What is the total that Hayden will have to pay
the bank back?
Give step by step plz
Answers
Answer:
The rate of simple interest for loan was 8%
Step-by-step explanation:
Given
Principal amount = p = $6200
Time = t = 1 year
Amount after interest = $6696
We have to calculate the amount of interest first
So,
Interest amount =I= Amount after interest - principal amount
= 6696-6200
=$496
The formula for simple interest is:
The rate of simple interest for loan was 8%
Keywords: Simple interest, percentage
Learn more about simple interest at:
can someone answer please I don't understand
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Answer:
you just add X=8 to 5x-6
You always have to multiply it
so its 5•8-6= 34
Answer: The answer is 34
Step-by-step explanation: all you had to do was think all of the answers below are high numbers so you most likely had to multiply so i did 5x8-6=34
Penelope's car gets 300 miles on 20 gallons of gas. Blake's car gets 495 miles on 15 gallons of gas.
Which car has better gas mileage?
Answers
Answer:
Blake's car gets better mileage
Step-by-step explanation:
In order to find how many miles you get per gallon, you would do miles/gallons
As I'm typing this I realize it makes no sense but pretty much you just do 300/20 which is 15 mpg, and 495/15 which is 33 mpg, therefore Blake's car is better
11 Select the correct answer. A basketball team played 15 games and won 80% of them. If the team expects to play 30 games in all how many more games must it win to finish the season with a 90% winning percentage? СА. 12. 00 14 15 OD. 27
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Step-by-step explanation:
They need to play 15 more games
Describe how to add 3 2/5 and 1 1/5 and how to subtract them.
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Which is the correct answer?
Note: ( if you give me a silly or absurd answer I will report you )
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Answer:
A
Step-by-step explanation:
you take the f(x) and make it negative because it's positive
you make -x^3 positive because it's negative
you make -9 positive because it's negative
hope this helps!
Enter a positive common factor (other than 1) of the fraction's numerator and
denominator.
9/21
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9, and 3 are common factors
ms.watson earns more than $24 per hour. The inequalit x>24 represent the situation.which statement best represent the solution of the inequality
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Answer:
All rational numbers greater than 24
Step-by-step explanation: