The measure of C'T' is √17 units after the rotation .
Rotation of a graph is a transformation in which the figure is rotated around a fixed point.
The rotation can be clockwise or anti-clockwise.A complete rotation of 360 degrees puts the graph back into its original position.Rotation does not change the side length of the figure that is rotated.When a polygon is rotated about a fixed point then the transformed figure is congruent to the original figure.The given triangle is CAT and it has the coordinates as C(0,0) , A(-2,1) and T(-1,4).
So when the figure is rotated about a fixed point the side lengths will remain same as the original figure.
C'T' = CT = √17 (the value of CT is given)
Hence the length of C′T′ is √17 units .
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M(5, 7) is the midpoint of PS The coordinates of S are (6, 9). What are the coordinates of p2
The required coordinate of point p is (4,6) of line segment PS.
Given that
M(5, 7) is the midpoint of PS The coordinates of S are (6, 9).
To determine the coordinates of p.
Here,
Let the coordinate of P be (h, k)
Now, the coordinates of the midpoint is given by,
x = [x₁ + x₂] / 2 ; y = [y₁ + y₂] / 2
now, putting x = 5, x₁ = 6, x₂ = h; y = 7, y₁ = 9 y₂ = k
5 = 6 + h / 2 ; 7 = 9 + k / 2
10 - 6 = h ; 14 - 9 = k
h = 4 ; k = 5
Thus, the required coordinate of point p is (4,6).
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Bristol's credit card has a 30.99% APR, a minimum monthly payment of 3.5%, and a current statement balance of $4,186.19. She spends $750.00 in purchases and makes the current minimum monthly payment of $146.52. What will be Bristol's next minimum monthly payment?
a)$123.69
b)$145.50
c)$167.64
d)$171.97
Bristol's next minimum monthly payment is $171.97
How was the minimum monthly payment of $146.52 computed?
The minimum monthly payment of $146.52 was computed from the current statement balance as 3.5% of $4,186.19
minimum monthly payment=$4,186.19*3.5%
minimum monthly payment=$146.52
The balance at the beginning next month is current statement balance minus the minimum monthly payment plus purchases of $750.00 and the interest for the month
beginning balance next month before interest=($4,186.19-$146.52)+ $750.00
beginning balance next month before interest=$4,789.67
beginning balance next month after interest=$4,789.67*(1+30.99%/12)
beginning balance next month after interest=$4,913.36
Bristol's next minimum monthly payment=3.5%*$4,913.36
Bristol's next minimum monthly payment=$ 171.97
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Click and drag like terms onto each other to simplify fully.
6+6y-7-6y-2y+3y²
You must answer all questions above in order to submit.
attempt 1 out of
Answer:
pls rate as brainliest it will really go a long way
what is the volume of the 3ft 25 square feet prism
Analia wants to know which school has the higher SAT average relative to resources invested per student
A SAT average divided by number of sports medals won
B SAT average divided by number of students
C SAT average divided Budget per student
D SAT average divided by teachers per student
If mary wants to bake muffins .she she has 3kg of flour. if a tray of 6 muffins 200g of of flour how many trays will she bake
Mary will bake 15 trays.
Firstly converting the amount of flour into grams that Mary has.
As per the known facts 1 kilogram = 1000 grams.
So, amount of flour in grams = 3 × 1000
Performing multiplication to calculate amount of flour
Amount of flour in grams = 3000 grams.
Now, 200 grams flour is required by number of trays = 1
So, 3000 grams flour will be required by number of trays = (1÷200)×3000
Performing multiplication and division to find the number of trays that can be baked
Number of trays = 15
Hence, Mary can bake 15 trays of muffins with 3 kilograms of flour.
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Consecutive NUMBERSSS
Answer: The three consecutive numbers that make up -30 are -9, -10, and -11, -9 + -10 + -11 = -30. The smallest of the three consecutive numbers is -11.
Step-by-step explanation:
A lab technician is dividing a cell that has a diameter of 4.32×10−4 millimeters. Each of the new cells has a diameter measuring exactly one half of the diameter of the original cell. Which is the diameter of a new cell?
Answer:
I'm assuming that the number is supposed to be 4.32x10‾⁴, so if the new cell has half the diameter, then it's diameter would be 2.16x10‾⁴
Write down the value of
5°
Answer:
The absolute value of 5 is the distance of 5 from the 0. So you go 1, 2, 3, 4, 5. 5 is exactly 5 to the right of 0. So the absolute value of 5 is just 5.
Step-by-step explanation:
simplify the expression the square root of 3/15x
Mitchell spent 12 hours at the doctor's office and a total of 1 hours driving
to and from the appointment. Which expression shows the total number of
hours Mitchell spent away from home for his visit to the doctor?
Answer:
12+1=x x=13
Step-by-step explanation:
12 is the hours at the doctor's office.1 is the hour driving. and x is the total time
I need Help please with aleks
Answer:i do hope this helps 1 should be f(x)=0 0=sqrt-2+2
2 should be f(x)=343.0029154 343.0029154=sqrt7^6+2
3 should be f(x)=6 6=sqrt34+2
4 should be f(x)=10 10=sqrt98+2
and im sorry if im wrong
6. Seeta thinks a number and subtracts 7/3 from it. She multiplies the result by 6. The result now obtained is 2 less than twice the same number she thought of. What is the number?
Greetings from Brasil...
The number thought will be X, so
6.(X - 7/3) = 2 - 2X
X = 2Which is equivalent to √3+√12?
A. √15
B. 3√6
C. 2√3
D. 3√3
E. 5√3
Answer:
d is the correct answer to your question
Answer:
3√3
Step-by-step explanation:
√3 +√12
we can write 12 as 3 X 4
√3 + √(3+4)
√3 + √3 √4
√4 = 2
√3 + 2√3
= 3√3
alana drew a scale drawing of an apartment. the broom closet, which is 6 feet wide in real life, is 3 inches wide in the drawing. what is the scale of the drawing?
The scale factor of Alana's drawing is 3: 72.
What is the scale factor?You must specify the extent of the shape's enlargement when describing one.
The scale factor is the ratio of two dimensions such that one figure is large and another is small.
The scale factor is done due to the unpractical measurement of any figure.
Dimension in real = 6 feet
Since,
1 feet = 12 inches
6 feet = 72 inches
Dimension in drawing = 3 inches.
Scale factor = Dimension in drawing / Dimension in real
Scale factor = 3/72
Hence "The scale factor of Alana's drawing is 3: 72".
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C=59(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59 degree Celsius.A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Who ever answers this first correctly and show explanation gets brainliest
ANSWER:
d
ANSWER EXPLANATION: Think of the equation as an equation for a line
y=mx+b
where in this case
C=59(F−32)
or
C=59F−59(32)
You can see the slope of the graph is 59, which means that for an increase of 1 degree Fahrenheit, the increase is 59 of 1 degree Celsius.
C=59(F)
C=59(1)=59
Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 95 degrees Fahrenheit.
C=59(F)
1=59(F)
(F)=95
Since 95 = 1.8, statement II is true.
The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 59 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:
C=59(F)
C=59(59)
C=2581(whichis≠1)
An increase of 59 degree Fahrenheit leads to an increase of 2581, not 1 degree, Celsius, and so Statement III is not true.
The final answer is D.
Answer:
D) i and ii
Step-by-step explanation:
from given equation, we can simplify =
1.8 C = F-32 .....................i
F = 1.8 C +32 ....................ii
now, from (i)
1.8 (C+1 ) = 1.8 C + 1.8 = (F +1.8) -3.2
so increasing 1 C equivalent to 1.8 F ........... iii
from iii,
increasing (1/1.8) C or (5/9) C equivalent to (1.8/1.8) F or 1 F
increasing (5/9)/ (5/9) or (25/81) C equivalent to 5/9 degree F
(so given iii become false)
only i and ii is true = D
The length of a bacterial cell is about 5 x 10−6 m, and the length of an amoeba cell is about 3.5 x 10−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.
1.4 x 101
7 x 101
143 x 101
7 x 103
The bacterial cell is 7 x 10¹ times smaller than the amoeba cell.
Here,
The length of a bacterial cell is about 5 x 10⁻⁶ m.
The length of an amoeba cell is about 3.5 x 10⁻⁴ m.
We have to find the how many times the bacterial cell is smaller than the amoeba cell.
What is Division method?
Division method is used to distributing a group of things into equal parts.
Now,
The length of a bacterial cell is = 5 x 10⁻⁶ m.
The length of an amoeba cell is = 3.5 x 10⁻⁴ m.
Hence, The size of cell is calculated as = 3.5 x 10⁻⁴ ÷ 5 x 10⁻⁶
= 0.7 x 10²
= 7 x 10¹
Therefore, The bacterial cell is 7 x 10¹ times smaller than the amoeba cell.
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Answer:
7 x 10^1 (i got it right on the exam)
Put together the whole solution.
53116 is equal to 10+ 10+ 10+ 3 with a remainder.
531 divided by 16
Explanation:
531/16=(10+10+10+3) + 3
Didisor =16
Dividend=531
Quotient= 10+10+10+3
=33
Remainder=3
531-3=33*16
528=33*16
528/16=33
33=33
How many times larger is (1.092 × 101) than (7 × 10−1)?
0.156
15.6
6.41
6.908
Step-by-step explanation:
1.092*101 is the same as 1.092*100 ( or 109.2)+1.092, which equals 110.292.
7*10 is 70-1 is 69. from here, we can just estimate it since 69*2 is 138. Once you do it, you can find that it is roughly 1.59.
I hope this helped. I didn't know what you meant by the numbers under it.
Answer:
the answer is 15.6
Step-by-step explanation:
A handyman company serves customers from two cities 60 miles apart, Jonesville and Bellevue. The company would like to position a new of
between the two cities using weighted averages based on the typical number of calls received from each city. If Jonesville has a weight of 3 a
Bellevue has a weight of 5, how far from Bellevue should the office be located?
miles
Using the weighted mean, it is found that the office should be located 13.85 miles from Bellevue.
What is the weighted mean?The weighted mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.
For this problem, the observations are given as follows:
Bellevue, at position 0, with a weight of 5.Jonesville, at position 60, with a weight of 3.These observations are the positions of the cities, considering that they are 60 miles apart, and their weights as given in the problem.
The weighted mean between these positions is found as follows:
M = (0 x 5 + 60 x 3)/(5 + 8) = 13.85.
The meaning of the weighted mean is that:
The office should be located 13.85 miles from Bellevue.
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Find the solution to the equation: 42-(3c+4)=2(c+4)+c
Answer:
5
Step-by-step explanation:
42-(3c+4)=2(c+4)+c
42-3c-4=2c+8+c
42-4-3c=3c+8
38-3c=3c+8
38-3c-3c=8
38-6c=8
6c=38-8
6c=30
c=30/6
c=5
How many negative real zeros are possible for a polynomial function f, given that f(−x) has 9 variations in sign? (Select all that apply.)
*1
*2
*3
*4
*5
*6
*7
*8
*9
The possible number of negative real zeros in the polynomial function is 9
What are the zeros of a polynomial function?The zeros of a polynomial function are the x-intercepts of the function i.e. the points where the graph of the polynomial function cross the x-axis
How to determine the number of negative real zeros?The given parameters are
The polynomial function, f(x)
f(−x) has 9 variations in sign
The number of variation in sign represents the possible number of negative real zeros
Recall that
The x-intercept (or the zeros) of the function is the point or points where the graph of the function crosses the x-axis i.e. the point where the function equals 0
This means that
Number of negative real zeros = variation in sign
So, we have
number of negative real zeros = 9
Hence, the possible number of negative real zeros in the polynomial function is 9
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If you were to describe a reection of triangle , what information would you need to include in your description?
Reflection over the y-axis: (x,y)→(−x,y)
Reflection over the x-axis: (x,y)→(x,−y)
When making a reflection of a triangle and describing it you would need to provide the following two details. First, over which axis the triangle is being reflected over. Secondly, the exact location of each reflected point of the triangle. Doing so would describe how the triangle is being reflected and which point is ending up in which location. Thus, letting the viewer/reader know exactly what is being done to the triangle
Triangle reflection is the figure obtained when a triangle is flipped on a coordinate system based on a line of reflection.
Reflection over the y-axis: (x,y)→(−x,y)
Reflection over the x-axis: (x,y)→(x,−y)
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y=6x2-12x+1 axis of symmetry
What is the value of a in this function’s equation?
A.
-1
B.
1
C.
-2
D.
2
Answer:
Because the graph has the parabol shape, so the equation of it has the function:
y = ax² + bx + c
Because the parabol has a peak at point (0; 9)
=> 9 = a.0² + b.0 + c
=> c = 9
=> The parabol has a function:
y = ax² + bx + 9
Because the parabol goes through point (3; 0)
=> 0 = a.3² + b.3 + 9
=> 9a + 3b = - 9 (1)
Because the parabol goes through point (-3; 0)
=> 0 = a.(- 3)² + b.(- 3) + 9
=> 9a - 3b = - 9 (2)
Plus (1) and (2):
=> 18.a = - 18
=> a = - 1
Substitute the result on (1)
=> b = 0
=> The function of the parabol: y = - x² + 9
=> a = - 1
=> Choose A. - 1
How many unique trapezoids can be drawn with base angles that each measure 60° and sides that measure 4 cm, 4 cm, 8 cm, and 12 cm?
The number of unique trapezoids that can be drawn with base angles and side measures is 1
How to determine the number of unique trapezoids?The given parameters are
Base angle = 60 degrees
Side lengths = 4 cm, 4 cm, 8 cm, and 12 cm
From the question, we understand that the given angle is the base angle
Since the base angles are equal, then the trapezoids is an isosceles trapezoid
This also means that the nonparallel sides are equal i.e. 4cm each
While the parallel sides are not i.e. 8cm and 12 cm
Hence, the number of unique trapezoids that can be drawn with base angles and side measures is 1
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Usa ecuaciones simultáneas para resolver lo siguiente:
2x + 5y = 5
4x = 3y = 3
X =
Y =
The value of x will be equal to 0 and y will be equal to 1.
It is given that there are two equations.
We have to solve both equations to get the value of x and y.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.
As per the question ;
The two equations are
2x + 5y = 5 --- -- - - - ------ ---- --- --- ---- Equation 1
4x + 3y = 3 --- ----- ------ ----- ----- ----- -- Equation 2
Let's solve these equations to get value of x and y ;
So ;
Multiplying equation 1 , by 2 we get ;
4x + 10y = 10 --- ----- ------ ----- ----- ----- -- Equation 3
Subtract it with equation 2 ;
i.e., Equation 3 - Equation 2
(4x + 10y) - (4x + 3y) = 10 - 3
7y = 7
y = 1
And value of x will be ;
2x + 5 × 1 = 5
2x = 5 - 5
2x = 0
or
x = 0
Thus , the value of x will be equal to 0 and y will be equal to 1.
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3 feet
15 feet
21 feet
31.5 feet
C
12 ft
9 ft
3
hich are the dimensions of a
A
B
5. W
ri
if you want to change the order of operations in a formula, use these around the part of the formula you want to calculate first.
To change the order of operations in a formula, use parentheses around the part of the formula you want to calculate first.
Parentheses allow you to group elements in a cell. This allows you to create more complex and more powerful formulas.
Consider the expression 6+4*2.
The above formula gives result as 14 because Excel performs multiplication before addition. The formula multiplies 4 by 2 and then adds 6 to the result.
Now consider the expression (6+4)*2.
If you use parentheses to change the syntax, Excel adds 6 and 4 together and then multiplies the result by 2 to produce 20.
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To change the order of operations in a formula, use parentheses around the part of the formula you want to calculate first.
Parentheses allow you to group elements in a cell. This allows you to create more complex and more powerful formulas.
Consider the expression 6+4*2.
The above formula gives result as 14 because Excel performs multiplication before addition. The formula multiplies 4 by 2 and then adds 6 to the result.
Now consider the expression (6+4)*2.
If you use parentheses to change the syntax, Excel adds 6 and 4 together and then multiplies the result by 2 to produce 20.
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Abigail redecorates her house. A scale drawing of her house can be seen below. if each 6 cm on the scale drawing equals 12 ft, what are the actual dimensions of Abigail's house?
The actual dimensions of Abigail's house are 20ft, 14ft, 18ft, 16ft, 18ft.
For 6 cm in drawing his house is 12 ft on scale which is twice the drawing
This means the scale factor is 2
Therefore,
10cm = 2 × 10 = 20ft
7cm = 2 × 7 = 14ft
9cm = 2 × 9 = 18ft
8cm = 2 × 8 = 16ft
9cm = 2 × 9 = 18ft
What is scale factor?The scale factor is the quantity that is multiplied by an object's scale to produce a separate object that has the same appearance but is a different size—either scaled up or scaled down.
To increase an object by a scale factor, measure all of its sides and multiply the result by the scale factor.
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