Answer: C (0,0), (-4,0) and (0, -5)
Step-by-step explanation:
After repositioning the triangle, the vertices will be A(0, 0), B(0, -5), and C(-4, 0). This new positioning will make the coordinate proof easier since the coordinates are now simpler, and one vertex is located at the origin, which often simplifies the calculations in coordinate geometry proofs.
To make a coordinate proof easier, it's helpful to reposition the triangle in a way that simplifies the calculations and coordinates. In this case, you can reposition the triangle by translating it so that one of its vertices aligns with the origin (0, 0). This process is known as translation.
Let's reposition the triangle so that vertex A(5, -2) aligns with the origin (0, 0). To do this, we need to subtract the x-coordinate of vertex A from all the x-coordinates of the other vertices and subtract the y-coordinate of vertex A from all the y-coordinates of the other vertices.
The new coordinates for the repositioned triangle will be:
A(5, -2) -> A(0, 0) (remains the same, as it aligns with the origin)
B(5, -7) -> B(5 - 5, -7 - (-2)) -> B(0, -5)
C(1, -2) -> C(1 - 5, -2 - (-2)) -> C(-4, 0)
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A licensed nurse practitioner is instructed to give a patient 2700 milligrams of an antibiotic over a period of 48 hours. If the antibiotic is to be given every 6 hours
starting immediately, how much antibiotic should be given in each dose? To answer this question, solve the equation 8x = 2700
(Type an integer or a simplified fraction)
Answer:
337.5 mg
Step-by-step explanation:
A licensed nurse practitioner is instructed to give a patient 2700 milligrams of an antibiotic over a period of 48 hours. If the antibiotic is to be given every 6 hours
Hence: the number of doses or times the antibiotic would be administered =
48 hours/6 hours = 8 doses(times)
The amount of antibiotic that should be given in each dose is:
48 hours = 2700 mg
6 hours = x mg
Cross Multiply
48x = 2700 mg × 6 hours
x = 2700mg × 6/48
x = 2700/8
x = 337.5 mg
what is 2 1/9 x 1 1/2
Answer:
3.16
Step-by-step explanation:
Hope this helps!
A store sells 3 cans of beans for $9. What is the price of 7 cans of beans?
Answer:
21
Step-by-step explanation:
because you divide 9 byy 3 and you get 3 so then you do 7 x 3 7x3 is 21
Help I need an answer as soon as possible
Answer:
charlie is the one,im pretty sure
A litter of puppies had 2 white puppies and 5 brown puppies. What percent of white puppies are in the litter? Round to the nearest whole number
Answer:
29%
Step-by-step explanation:
0.28571428571 as an approximate percent is 29%. There are 2 white puppies and 7 total puppies(2 white + 5 brown)
Hope this helps!
Answer:
29%
Step-by-step explanation:
0.28571428571 is the original number which makes 29%
Hope this helps! Have a great day :)
Help ill give brainlist
Can someone help me out with this please!
What is the domain and range of the function: y= 10(4) + 100
Domain: ____
Range: ____
Find the equation of the line shown.
Answer:
I think that it is y= -2x +9
Step-by-step explanation:
I am sure about the slope but the y-intercept (9) might be wrong.
Find all polar coordinates of point P where P = (9,pi divided by 5).
Answer:
(-9, π/5 + (2n + 1)π)
Step-by-step explanation:
Adding any integer multiple of 2π to the direction argument will result in full-circle rotations, which are identities, so this family is equivalent to the give coordinates:
(9, π/5 + 2nπ), for any integer n
Also, multiplying the radius by -1 is a point reflection, equivalent to a half-turn rotation. Then add π to the direction for another half turn, and the result is another identity. So this too is equivalent to the given coordinates:
(-9, π/5 + (2n + 1)π), for any integer n
I need help with this equation
Answer:
Here:)
Step-by-step explanation:
x= -8
Answer: x = -8
Step-by-step explanation:
8x = 4x - 32
subtract 4x from both sides
4x = -32
divide by 4 on both sides
x = -8
:)
ivan scores 56 out of 80 marks in a maths test
what is his score as a percentage
Answer:
70%
Step-by-step explanation:
(56/80) * 100
0.7 * 100
70%
A $ 4.00 sales tax is charged for a $ 50.00 purchase . At this rate, what is the sales tax for a 1200.00 purchase
Sales tax for the purchase of $50 is $4
Therefore, x% of 50 = 4
(x%) 50 = 4
x/100 x 50 = 4
x/2 = 4
x = 4 x 2
x = 8
Therfore, there is a 8% sales tax on the purchase.
Sales tax on the purchase of $1200 = 8% of 1200
= 8/100 x 1200
= 8 x 12
= 96
A $96.00 sales tax is charged on a purchase of $1200.00
Which choice below shows the value of 2.16? Choose all that apply.
Group of answer choices
two and six hundredths
2 + 0.1 + 0.06
2 + 0.01 + 0.06
two and sixteen
2 + 0.16
two and sixteen hundredths
Answer:
2 + 0.1 + 0.06
2 + 0.16
two and sixteen hundredths
How do I solve this problem and check all the solutions?
Answer:
x-5=sqrt(2x+5)
then square both sides
x2-10x+25=2x+5
x2-8x+20=0
rest is trivial
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
Given
x - [tex]\sqrt{2x+5}[/tex] = 5 ( subtract x from both sides )
- [tex]\sqrt{2x+5}[/tex] = 5 - x ( divide all terms by - 1 )
[tex]\sqrt{2x+5}[/tex] = x - 5 ( square both sides )
2x + 5 = (x - 5)²
2x + 5 = x² - 10x + 25 ( subtract 2x + 5 from both sides )
0 = x² - 12x + 20 ← in standard form
0 = (x - 2)(x - 10) ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 10 = 0 ⇒ x = 10
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions
x = 2
2 - [tex]\sqrt{4+5}[/tex] = 2 - [tex]\sqrt{9}[/tex] = 2 - 3 = - 1 ≠ 5
Thus x = 2 is an extraneous solution
x = 10
10 - [tex]\sqrt{20+5}[/tex] = 10 - [tex]\sqrt{25}[/tex] = 10 - 5 = 5 = right side
Thus x = 10 is the solution
PLEASE HELP! Ann needs to buy plastic forks. Brand A has a box of 25 forks for $2.12. Brand B has a box of 72 forks for $5.09 .
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent. And thank you if you answer this I really need the answer.
Answer:
To find the price per spoon of brand A, divide the cost by the amount of spoons:
1.99 / 25 = 0.0796
Repeat this process for brand B:
3.89 / 42 = 0.0926
Brand A, at $0.08 a unit, is the better buy of brands A and B.
Sonji paid $25 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?
plzz help!!!!!!!!!!
the answer is 53
Step-by-step explanation:
25 plus 25 is 50 plus 3
If mAngleUTV < mAngleUTS < mAngleSTR, which statement is true? VU < US < SR by the hinge theorem. VU = US = SR by the hinge theorem. mAngleUTV = mAngleUST = mAngleSTR by the converse of the hinge theorem. mAngleUTV > mAngleUTS > mAngleSTR by the converse of the hinge theorem.
Answer:
VU < US < SR by the hinge theorem.
Step-by-step explanation:
Did quiz on edge
Answer:
A. VU < US < SR
Step-by-step explanation:
I got a 100 on the test
solve for the variable x+9=12
Answer:
Step-by-step explanation:
subtract 9 from both sides
x=3
Answer: x = 3
Step-by-step explanation: x = 12 - 9
Can someone help me solve this equation? x2 + x - 30 = 0
Answer:
x = 10
Step-by-step explanation:
x x 2 + x - 30 = 0 use the commutative property to reorder the terms
2x + x - 30 = 0 collect like terms
3x - 30 = 0 move constant to the right hand side and change its sign
3x = 30 divide both sides of the equation by 3
x = 10
Name the coefficients in a +2a+3a-4a
Answer:
2,3,4
Step-by-step explanation: there next to veribuls
William has a lemonade stand. It costs him $0.30 to make 3 cups of lemonade. Find the rate of change of his cost and respect to the dozens of cups of lemonade he makes?
Answer:
I'm a bit confused, but it would cost $1.20 to make a dozen cups of lemonade
Step-by-step explanation:
0.30 divided by 3 is 0.10, and a dozen is twelve which makes the problem 0.10x12 which equals $1.20
At a high school football game, admission is $5 for students and $10 for non-students. There were 500 people at the first game, and the school made $4,000 from admissions. In this activity, you will find the number of students and non-students at the game.
Please write the two equations algebraically and then solve :)
Answer:x = 200 students
y = 300 non-students
Step-by-step explanation:
5x + 10y = 4000
x + y = 500
Set y = 500-x
5x + 10(500-x) = 4000
5x + 5000-10x
-5x + 5000 = 4000
-5x = -1000
x = 200 students
y = 300 non-students
Let's double checks
5(200) + 10(300)
1000 + 3000 = 4000
This one is too much for me hhh, please answer it when you have time! THANK YOU!!
Match the following rational expressions that corresponds the letter of the correct answer.
Answer:
1.C
2.K
3.E
4.G
5.I
6.A
7.H
8.B
9.L
10.D
Step-by-step explanation:
American football is a variation of what game?
Soccer
Speedball
Field Hockey
Rugby
Answer:
Rugby
Step-by-step explanation:
They're the most similar.
Soccer you play with only your feet
Speedball you kick the ball around
Field hockey uses a stick
The sum of two numbers is 37. Their difference is 7. What are the numbers?
Answer:
22 and 15
Step-by-step explanation:
22+15=37
22-15=7
The price of an item yesterday was $120. Today, the price fell to $66. Find the percentage decrease.
HELPP
I need this written out and explained I have 10 MINUTES LEFTTT
Answer:54
Step-by-step explanation: You simply minus $66 from $120. I am fairly sure that i am right. If my answer is wrong, then please forgive me.
ΔABC is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in the image ΔA′B′C′. If A = (2, 2), B = (4, 3), and C = (6, 3), what is the length of ?
Answer:
Fourth option is correct. The length of B'C' is 1 unit.
Step-by-step explanation:
The vertices of triangle ABC are A = (2, 2), B = (4, 3), and C = (6, 3).
Distance formula:
The length of BC is 2 units.
It is given that ΔABC is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in the image ΔA′B′C′.
It means the ΔABC and ΔA′B′C′ are similar and corresponding sides of ΔA′B′C′ and ΔABC are proportional.
The scale factor is 0.5.
Therefore the length of B'C' is 1 unit and fourth option is correct
Answer:
D= 1 unit
Step-by-step explanation:
I need help with this question right now please and thank you!
|10 7/9|,|-9 9/8|, |-10 4/9|, |-10 5/9|, |-10 8/9|
Samantha has $300 for guitar lessons to learn her favorite song. Mrs. Jones charges $80 per lesson and requires three lessons to teach Samantha the song. Mr. Beliz charges $62 per lesson and requires four lessons to teach Samantha the song. Use integers to represent what each teacher charges. Which is the better deal for Samantha?
Answer:
Mrs. Jones has the better deal
Step-by-step explanation:
Samantha has $300
Mrs. Jones charges $80 per lesson and she requires three so we do 80* 3 (the lessons) which equals 240
Mrs. Beliz charges $62 per lesson and requires 4 lessons so we do 62*4 (the lessons) which equals 248
240<240 (so Mrs. Jones has the better deal, she wants less money)
Answer:
Mrs. Jones
Step-by-step explanation:
1.) Select the correct equation for the following situation. Mariana had 134
crystals in her collection. This was 38 less than Rajesh's collection. How
many crystals are in Rajesh's collection?
38r = 134
r+ 38 = 134
r - 38 = 134
38 - r = 134
Answer:
r minus 38 equals to 134 this might be m not certain
The correct equation is, [tex]r-38=134[/tex] and Rajesh have 172 crystals .
Let us consider that, Rajesh had r crystals.
Mariana had 134 crystals in her collection.
Since, Rajesh has 38 more crystal than Marina . So , if we subtract 38 from crystals Rajesh have then both have equal number of crystals.
So, [tex]r-38=134[/tex]
Now, find crystals present in Rajesh collection.
[tex]r-38=134\\\\r=134+38=172[/tex]
Thus, Rajesh have 172 crystals .
Learn more about linear equation:
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