Solution
Given
When c=5 and y= -4
Then -c+2y
-5+2(-4)
Recall
\(+\text{ }\times-=-\)-5 -8= -13
Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D′E′F′G′H′I′: Hexagon DEFGHI and Hexagon D prime E prime F prime G prime H prime I prime on the coordinate plane with ordered pairs at D 2, 5, at E 5, 5, at F 6, 3, at G 5, 1, at H 2, 1, at I 1, 3, at D prime negative 6, negative 2, at E prime negative 3, negative 2, at F prime negative 2, negative 4, at G prime negative 3, negative 6, at H prime negative 6, negative 6, at I prime negative 7, negative 4
Answer: To find the image of a figure under a translation, you need to apply the same translation to every point in the figure.
In this case, the image of hexagon DEFGHI is hexagon D′E′F′G′H′I′. To find the image of each point, you can apply the translation that maps point D to point D′.
For example, to find the image of point E under the translation, you can apply the same translation that maps point D to point D′:
Point D is located at (2, 5).
Point D′ is located at (-6, -2).
The translation that maps point D to point D′ is a translation 6 units to the left and 2 units down.
To find the image of point E under this translation, you can apply the same translation to point E:
Point E is located at (5, 5).
The image of point E is located at (5 - 6, 5 - 2) = (-1, 3).
You can follow the same process to find the images of the other points under the translation.
Alternatively, you can use the coordinates of point D and point D′ to find the translation vector that describes the translation. The translation vector is a displacement that describes the change in position of a point under the translation.
In this case, the translation vector is given by the displacement from point D to point D′:
Point D is located at (2, 5).
Point D′ is located at (-6, -2).
The translation vector is given by the displacement (-6 - 2, -2 - 5) = (-8, -7).
To find the image of any point under the translation, you can add the translation vector to the coordinates of the point. For example, to find the image of point E under the translation, you can add the translation vector to the coordinates of point E:
Point E is located at (5, 5).
The translation vector is (-8, -7).
The image of point E is located at (5 - 8, 5 - 7) = (-3, -2).
You can follow the same process to find the images of the other points under the translation.
Step-by-step explanation:
Which expressions are equivalent to 6 to the fourth power?
4•6
6•216
36•36
6•6•6•6
6•64
Answer:
6x6x6x6
Step-by-step explanation:
Answer:
the 4th one
Step-by-step explanation:
6.6.6.6
The class was divided into 4 teams. Each team had 5 players. The
remaining class members- Ty, Keesha, and Sam- served as score keepers.
How many students were in the class?
EASY QUESTIONS EASY POINTS!!
Answer:
23 players.
Step-by-step explanation:
5 x 4 + 3 = 23
What is the sin B?
/21
B
5
2
sin (B) =
[?]
Answer:
Step-by-step explanation:
sin (B) = \(\frac{2}{5}\)
To construct a regular octagon, what measure would be necessary for each interior angle? Construct an angle of that measure.
Answer:
\(135^\circ\)
Step-by-step explanation:
Given that, a regular octagon is to be constructed.
To find:
Each angle in the octagon = ?
Solution:
We know that a regular triangle (polygon with 3 sides) has an interior angle of \(60^\circ\).
And a regular quadrilateral (square) has an interior angle of \(90^\circ\).
Therefore, formula for interior angle of a regular polygon with \(n\) number of sides can be given as:
\(\dfrac{n-2}{n}\times 180^\circ\)
For an octagon, we have \(n=8\).
Value of Interior angle in a regular octagon:
\(\dfrac{8-2}{8}\times 180^\circ=\dfrac{6}{8}\times 180^\circ=\bold{135^\circ}\)
Kindly refer to the attached image for the angle of \(135^\circ\)
Answer the statistical measures and create a box and whiskers plot for the followingset of data.I need to also create a box plot
Given the data points:
6, 9, 9, 10, 10, 10, 11, 11, 12, 17, 19, 19
Solution
Min: Minimum number in the set of data:
\(Min\text{ = 6}\)Max: Maximum number in the set of data:
\(\text{Max = 19}\)Q1: First quartile of the set of data:
First, we obtain the position of the point using the formula:
\(Q_1\text{ = }\frac{n+1}{4}\)Hence,
\(\begin{gathered} Q_1\text{ = }\frac{12+1}{4} \\ Q_1\text{ = 3.25th} \end{gathered}\)Q1 is between 9 and 10. Thus:
\(Q_1\text{ = 9.25}\)PLS HURRY FOR 80 POINTS Triangle XYZ is drawn with vertices X(4, −5), Y(6, −1), Z(10, −8). Determine the line of reflection if X′(4, 5).
y-axis
x-axis
y = 1
x = −4
Answer: a
Step-by-step explanation:
g(x) = x3 - 4
h(x) = x2 + 2
Find h(-2) - g(-1)
Answer:
11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = x³ - 4
h(x) = x² + 2
h(-2) is x = -2
g(-1) is x = -1
Step 2: Find h(-2) - g(-1)
Substitute: ((-2)² + 2) - ((-1)³ - 4)Exponents: (4 + 2) - (-1 - 4)Add/Subtract: 6 - (-5)Subtract: 11Continuous Compounding. 25 points, please help.
Answer:
5) $5005
7) $7737
Step-by-step explanation:
Continuously compounded interest:
\( A = Pe^{rt} \)
5)
\( 9119.7 = Pe^{0.04 \times 15} \)
\( 9119.7 = P(1.8221188) \)
\( P = 5005 \)
Answer: $5005
7)
\( 29844.9 = Pe^{0.09 \times 15} \)
\( 29844.9 = P(3.8574255) \)
\( P = 7737 \)
Answer: $7737
Determine the equation of the circle with radius 9 and center ( − 1 , − 8 ).
The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8 )² = 81.
What is the equation of the circle?The standard form equation of a circle with center (h, k) and radius r is:
( x - h )² + ( y - k )² = r²
Given that the circle has a center of (-1, -8) and the radius is 9.
Hence; from the standard form of the equation of the circle:
Center ( h , k ) = ( -1, -8 )
h = -1
k = -8
And radius r = 9
Plug these values into the above formula and simplify.
( x - h )² + ( y - k )² = r²
( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²
Simplify
( x + 1 )² + ( y + 8 )² = 81
Therefore, the equation of the circle is ( x + 1 )² + ( y + 8 )² = 81.
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Geometry. BD is tangent to circle O at C, mAEC=280, and mACE=80. Find mDCE.(The figure is not drawn to scale.)
A. 100
B. 50
C. 120
D. 60
8. Which statement is always true?
A. 9 times a number is always odd.
B. 9 times a number is always even
C. 10 times a number is always odd.
D. 10 times a number is always even.
Answer:
D
Step-by-step explanation:
Any number multiplied by an even number will always be even. 10 is an even number.
Answer:
d. 10 times a number is always even
Step-by-step explanation:
multiples of 9 contain 81 and 36 which one is even and the other is odd
multiples of 10 ONLY contain even numbers because the unit digit for a multiple of 10 is 0.
So whenever you multiply a number by 10 it will be even
Ayudaaaaaa
Porfi
Gracias
The expression representing the perimeter of the polygon is given as follows:
7mn³/3 + 4m² + 3mn².
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
Hence the perimeter for the polygon in this problem is given as follows:
mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².
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How can I get the total of a surface area ?
In order to find the total area, we'll find the area of the base, of the two triangles and the two rectangles on the top.
Base:
A1 = 12.5*8
A1= 100 cm²
Triangles:
A2 = (8*3)/2 *2
A2 = 24 cm²
Rectangles on the top:
A3 = 12.5*5 *2
A3 = 125 cm²
Total area = A1+A2+A3
TA = 100+24+25
TA = 149 cm²
Answer: 149 cm²
how do you solve this?
Answer:
i have no idea.....
Step-by-step explanation:
Answer:
sin(5x)
Step-by-step explanation:
Recall that the half angle identity relates the sine of half an angle to the square root of one minus the cosine of the angle as shown below:
\(sin(\frac{\theta}{2} )=+/-\sqrt{\frac{1-cos(\theta)}{2} }\)
therefore, in our case:
\(sin(5\,x )=+/-\sqrt{\frac{1-cos(10\,x)}{2} }\)
so, make sure you type the expression : "sin(5x)" in the provided text-box.
Chantelle has 450 pennies she puts 26 pennies in each jar. how many jars does Chantell fill. how many pennies are left over
Answer:
bhbihihibibiuiuiuiubiubiubibiubiub
Step-by-step explanation:
Answer:
She can fill 17 jars and will still have 8 pennies left over.
17*26=442
450-4422=8
Let me know if you need more help! :)
Are these shapes similar?
True
False
Answer:true
Step-by-step explanation:because yes
PLS HELP!!!
Find the vertices of the image of △ABC under the transformation (x, y) ⟶ (x − 3, y + 1) followed by a dilation centered at the origin with scale factor 2.
The coordinates of the image of triangle ABC are A''(x, y) = (- 4, 2), B''(x, y) = (0, 0) and C''(x, y) = (2, 4).
How to determine the vertices of the image of a triangle
Triangles are generated by the location of three distinct points on Cartesian plane. In this problem we find the representation of a triangle, whose vertices are listed below:
A(x, y) = (1, 0), B(x, y) = (3, - 1), C(x, y) = (4, 1)
We need to apply the following rigid transformations:
Translation
(x, y) → (x - 3, y + 1)
Dilation centered at the origin with scale factor 2
(x, y) → (2 · x, 2 · y)
Now we proceed to determine the coordinates of the image:
Translation
A'(x, y) = (- 2, 1), B'(x, y) = (0, 0), C'(x, y) = (1, 2)
Dilation
A''(x, y) = (- 4, 2), B''(x, y) = (0, 0), C''(x, y) = (2, 4)
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Round 0.799 to the nearest hundredth
Answer:
0.80
Step-by-step explanation:
The hundredth is 2 digits after the decimal.
Rounding 0.799, we want 0.xx
Look at the third digit, 9, meaning we round up.
However, since the second digit after the decimal is also a 9, we can make that a 0 by adding 1 to the first digit after the decimal.
We get 0.80
To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due
north. To get from home to his friend Cooper's house, Jaden would have to walk 6.3
kilometers due east. What is the straight-line distance between Akira's house and Cooper's
house? If necessary, round to the nearest tenth.
The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)
Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)
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I need help asap please!!!
What point would be on a graph of the equation? y = - 4 + 6
Use the slope-intercept form to find the slope and y-intercept.
Slope: 0
y-intercept: ( 0 , 2 )
Carlos is on the swim team. Each week he swim a total of 2000 meters. How many kilometers does he swim each week?
Answer:
2 kilometers
Step-by-step explanation:
1000 meters = 1 kilometer
2000 meters = 2 kilometers
If you need to setup a conversion
\(\frac{2000m}{1}\) × \(\frac{1km}{1000m}\)
The meters cancel
\(\frac{2000km}{1000} \\\)
Reduce
2 km
What degree of rotation about the origin will cause the triangle below to map
onto itself?
B
-8 -6
C
8
6
MO
2
-2-
T
-6-
-8
6 8
Answer: 6 feet and 2 yards are the same distance because each yard is 3 feet
Step-by-step explanation:
A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the drug, 23 subjects had a mean wake time of 92.1 min and a standard deviation of 40.5 min. Assume that the 23 sample values appear to be from a normally distributed population and construct a 98% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments. Does the result indicate whether the treatment is effective?
A 98% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments is
70.9 min < x-bar < 113.3 min
Yes, the result indicate that the treatment is effective
How to get the confidence intervalConfidence interval gives the probability that the unknown parameter will fall within a stated range
The confidence interval is constructed using the formula
confidence interval = x-bar ± z(s/√n)
Definition of variables
mean, x-bar = 92.1 min
standard deviation, s = 40.5 min
sample size, n = 23
confidence level = 98%
z score, z
For sample size less than 30, n < 30. t scores are used
degree of freedom, df = n - 1 = 23 - 1 =22
t score for 98% confidence level and dt of 22 = 2.509
substituting into the formula
= x-bar ± t(s/√n)
= 92.1 ± 2.509 (40.5 / √23)
= 92.1 ± 21.188
= 70.9112 < x-bar < 113.288
Effectiveness of the treatment
when a test a test more than 2 standard deviations away from mean it is considered unusual. The usual range is
= 92.1 ± 2 * 40.5
= 11.5 < x-bar < 173.5
Hence the treatment is effective
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During the 2005 football season, Team Tackle beat Team Sack by 19 points. If their combined scores totaled 37, find
the individual team scores.
Team Tackle's score was
Team Sack's score was
points.
points.
Team Tackle's score was 28 points. And team Sack's score was 9 points.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
During the 2005 football season, Team Tackle beat Team Sack by 19 points. If their combined scores totaled 37.
Let 'x' be the Tackle's score and 'y' be the Sack's score. Then the equations are given as,
x + y = 37 ...1
x = y + 19 ...2
From equations 1 and 2, then we have
y + 19 + y = 37
2y = 18
y = 9
Then the value of 'x' is given as,
x = 9 + 19
x = 28
Team Tackle's score was 28 points. And team Sack's score was 9 points.
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Help ASAP I’ll mark branliest
Answer:
\(129^{0}\)
Step-by-step explanation:
Supplementary angles are two angles of which add up to \(180^{o}\).
Subtract 180 - 51 = 129
\(=129^{o}\)
In a promotion for a local
Subway, every 5th customer will
get a free sandwich and every
3rd customer will get a free
drink. Which customer will be
the first person to get a free
sandwich and drink?
Answer:
15th customer
Step-by-step explanation:
to find the answer to this, you have to find the least common multiple(I think that’s what it is called). In this case, in order to find it, you can just multiply 5*3 to get 15 for the answer
Get brainlest if correct
Answer:
2 is the slope
Step-by-step explanation:
rise over run
up 2, over 1
up = rise
run = 1
2/1=2
Hope it helps!
Answer:
2
Step-by-step explanation:
→ Take 2 coordinates
( 20 , 20 ) and ( 30 , 40 )
→ Substitute into the gradient formula which ( x₂ - x₁ ) ÷ ( y₂ - y₁ )
\(\frac{40-20}{30-20}\)
→ Simplify
\(\frac{20}{10} =2\)
The total revenue for Jane's Vacation Rentals is given as the function R(x)=400x−0.4x2
, where x is the number of apartments booked. What number of apartments booked produces the maximum revenue?
NEED ANWSER ASAP PLS
a horizontal translation only
a horizontal translation and a 180° rotation
a horizontal translation and a glide reflection
a horizontal translation and a reflection across a vertical line
The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.
Here, we have,
the conditions for mapping the strip transformation pattern onto itself:
The strip pattern can be mapped onto itself in two different ways.
The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.
The second way is to reflect the strip pattern across a vertical line.
Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.
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complete question:
Which transformations map the strip pattern onto itself?
a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°
a horizontal translation only
a horizontal translation, a reflection across a horizontal line, and a glide reflection only
a horizontal translation and a 180° rotation only