Answer:
B (-2, 3)
Step-by-step explanation:
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The coordinates of B before translated to B' are (-2,3).
Translation is a term used in geometry to describe a function that moves an object a certain distance.
In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system.
In translation, only the position of the object changes, its size remains the same.
For the given situation,
Triangle ABC is translated to image A’B’C’.
In this translation, A(5, 1) maps to A’(6,-2).
In translation, the distance between A' and A in the coordinate system is same as B'B and C'C.
Let A(x_1,y_1) = (5,1) and A'(x_2,y_2) = (6,-2)
⇒ x_1 - x_2 = 5 -6
⇒ -1
⇒ y_1 - y_2 = 1- (-2)
⇒ 3
The coordinates of B’(-1,0)
So, the coordinates of B is
⇒ x= (-1 -1) = -2
⇒ y= (0 + 3) =3
Thus coordinates of B are (-2,3).
Hence we can conclude that the coordinates of B before translation are (-2,3).
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Question
Triangle ABC is translated to image A’B’C’. In this translation, A(5, 1) maps to A’(6,-2). The coordinates of B’(-1,0). What are the coordinates of B
Two students, Ann and Max, factored the trinomial 4x2 − 6x − 4. Ann factored it as 2(x − 2)(2x + 1) and Max factored it as (x − 2)(4x + 2). Indicate which student factored the trinomial completely and which student did not, and explain why.
Fencing costs $10.15/ft. A customer purchases 8 3/8 ft of fencing for his yard. How much did the customer pay for the fencing? Round to the nearest cent.
How long would it tak a bus traveling 50 km/h to travel 125 km?
Answer: It will take the bus 2.5 hours to travel 125km at 50km/h.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given.
Speed: 50km/h Distance: 125kmSo, to find the time we have to divide the distance by the speed:
We have to apply: time = distance/speed
Replacing with the values given:
Time = 125 / 50 = 2.5 hours
It will take the bus 2.5 hours to travel 125km at 50km/h.
Feel free to ask for more if needed or if you did not understand something.
Amultivitamin tablet contains 16.5 mg calcium.How much calcuim does a bottle of 20 tablet contain?
Can you help me for 8 and 9
Solve.
−1.5x−3.1<5.5
What is the axis of symmetry of h(x)=5x2+40x+64
Answer:
x = -4.
Step-by-step explanation:
As we have the standard form of a parabola, that is [tex]ax^2+bx+c[/tex] the axis of symetry will be the line [tex]x = \frac{-b}{2a}[/tex]. In this case we have that a = 5, b = 40 and c = 64. Then the axis of symtery is
[tex]x = \frac{-40}{10} = -4[/tex].
Kendra and her horse completed barrel racing course in 15.839 seconds what is the number rounded to the nearest tenth
Answer:
The number rounded to the nearest tenth is 15.8.
Step-by-step explanation:
Kendra and her horse completed barrel racing course in 15.839 seconds.
So, the number rounded to the nearest tenth or 0.1 is 15.8 because the number next to 8 is 3, it will not make eight '9' .
Hence, the number rounded to the nearest tenth is 15.8.
.6 is ten times as much as
Answer: 0.6 is ten times as much as 0.06
Step-by-step explanation:
We are given a statement:
0.6 is ten times as much as
Let the number be considered as 'x'
'Times' in the above statement means multiplication operation.
So, the equation for the given statement becomes:
[tex]0.6=10\times x[/tex]
To solve the value of 'x', we shift the number '10' to other side of the equation and operation applied will be division.
Solving the above equation, we get:
[tex]0.6=10\times x\\\\x=\frac{0.6}{10}=0.06[/tex]
Hence, 0.6 is ten times as much as 0.06
Paula always withdraws 20 dollars more than she needs from the bank.
a.) Write an expression for the amount of money Paula withdraws if she needs d dollars.
b.) Find the amount of money Paula withdraws if she needs 20,60 and 75 dollars.
choose the compatible numbers that will give the best estimate for 589/58
Answer:
what he said
Step-by-step explanation:
A supermarket had bags of red grapes for $27.09 for 7. They also had bags of green grapes priced at $14.96 for 4. Which type of grapes is most expensive
North America burned 4.5 x 1016 btu of petroleum in 1998. At this rate, how many BTU's will be burned in 9 year?
Follow below steps;
If North America burned 4.5 x 1016 BTU of petroleum in 1998, this rate of consumption can be used to calculate the amount of BTU burned over 9 years. To find the total BTU usage over 9 years, we simply multiply the annual consumption rate by 9.
Annual BTU consumption: 4.5 x 1016 BTU
Consumption over 9 years: 4.5 x 1016 BTU/year * 9 years = 40.5 x 1016 BTU
This calculation shows that North America would have burned a total of 40.5 x 1016 BTU of petroleum over a period of 9 years if the consumption rate remained consistent.
a newspaper has 80 Pages if 20 of the 80 pages are devoted to advertising what percent of the newspaper is advertising
How are points graphed on a coordinate plane?
Apartment A has a security deposit of $1000 and cost $1200 each month. Apartment B has a $1500 security deposit and cost $1175 each month. How many months will it take for the costs to be the same?
It will take 20 months for the costs of Apartment A and Apartment B to be the same.
Explanation:To find out how many months it will take for the costs of Apartment A and Apartment B to be the same, we need to set up an equation. Let's say it takes x months for the costs to be equal. The equation would be: 1000 + 1200x = 1500 + 1175x. We can solve this equation to find the value of x.
First, we can simplify the equation by subtracting 1175x from both sides: 1000 + 25x = 1500. Then, we can subtract 1000 from both sides to isolate the variable: 25x = 500.
Finally, we can divide both sides of the equation by 25 to solve for x: x = 20. Therefore, it will take 20 months for the costs of Apartment A and Apartment B to be the same.
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can someone please help me
Jack is mixing a cleaning solution that is 12% bleach. After mixing the solution, Jack has 150 ounces of cleaning solution. How many ounces of bleach did Jack use.
A paddle boat can move at a speed of 14 km/h in still water. The boat is paddled 4 km downstream in a river in the same time it takes to go 2 km upstream. What is the speed of the river?
How many time can 4 go into 69
the sum of four times a number and seven is ten
The unknown number is = 3/4
Let the unknown number be X
4(X) + 7 = 10
Minus 7 from the both sides:
4x +7 -7 = 10 -7
4x + 0 = 3
4x = 3
Make x the subject of formula by dividing both sides by 4,
4x/4 = 3/4
Therefore,
x= 3/4
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Write a multiplication problem using two 2 digit factors with a resulting product that falls between 7,000 and 8,000
The multiplication problem using 2-digit factors with a resulting product that falls between 7,000 and 8,000 is 81x90 = 7290.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that:
The number are 7,000 and 8,000
Let A and B be the two-digit number with a resulting product that falls between 7,000 and 8,000:
Let two numbers are:
81 and 90
The product of the numbers:
81x90 = 7290
The product of number falls between 7,000 and 8,000.
Thus, the multiplication problem using 2-digit factors with a resulting product that falls between 7,000 and 8,000 is 81x90 = 7290.
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The opposite of three times a number is more than 48. What are the possible values of the missing number
how many groups are of sixty are in two hundred forty four
Add.
–13 + (–8)
A.
–21
B.
–5
C.
5
D.
21
0645 to 0800is how many minutes
Convert 4500 feet per second to miles per hour. 5280 ft = 1 mi Round to the nearest hundredth.
Answer: [tex]3068.18\text{ miles per hour}[/tex]
Step-by-step explanation:
We know that 1 hour = 60 minutes
1 minute = 60 seconds
Then by Unitary method , 1 hour=[tex]60\times60=3600\text{ seconds}[/tex]
Also, 5280 ft = 1 mi
Given speed = 4500 feet per second
To convert it into miles per hour. we divide it by 5280 and multiply it by 3600 we get
[tex]4500\times\dfrac{3600}{5280}\\\\=3068.18181818\approx3068.18\text{ miles per hour}[/tex]
Hence, the correct answer = [tex]3068.18\text{ miles per hour}[/tex]
We want to partition 100 mL into 10 equal parts. ow many milliliters should we pour in each cup?
If we want to divide 100 mL into 10 equal parts we have to pour 10 mL into each cup.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
It is given that we want to divide 100 mL into 10 equal parts,
Suppose x milliliters should we pour into each cup,
x = Total volume / Number of cups
x = 100 mL / 10
x =10 mL
Thus, if we want to divide 100 mL into 10 equal parts we have to pour 10 mL into each cup.
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Can someone solve this fast , for 20 points
(9.32 x 10 3) (3.32 x 10 2)