What series of transformations would carry the trapezoid onto itself?
these are the answers
(x + 0, y − 4), 90° clockwise rotation, reflection over the y-axis
(x + 0, y − 4), 180° rotation, reflection over the y-axis
(x + 6, y + 0), 90° clockwise rotation, reflection over the x‐axis
(x + 6, y + 0), 180° rotation, reflection over the x‐axis
9514 1404 393
Answer:
(x + 6, y + 0), 180° rotation, reflection over the x‐axis
Step-by-step explanation:
A rotation 90° and a reflection over an axis will result in a figure 90° rotated from the one shown. That rotation cannot be part of the answer.
If reflection is to be over the y-axis after a rotation of 180°, the translation must amount to a reflection over the x-axis. That is not possible with this shape.
However, translating to the right, in to the first quadrant can be effectively a reflection over the y-axis. Then 180° rotation and reflection over the x-axis will map the figure to itself. This set of transformations is described in the last answer choice:
(x + 6, y + 0), 180° rotation, reflection over the x‐axis
Answer:
(x + 6, y + 0), 180° rotation, reflection over the x‐axis
Step-by-step explanation:
Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y
The solution to the system of equations is x = 1 and y = -3.
To solve the system of equations using the substitution or elimination method, let's start with the substitution method.
Given equations:
y = 4x - 7
4x + 2y = -2
We'll solve equation 1) for y and substitute it into equation 2):
Substituting y from equation 1) into equation 2):
4x + 2(4x - 7) = -2
4x + 8x - 14 = -2
12x - 14 = -2
Now, we'll solve this equation for x:
12x = -2 + 14
12x = 12
x = 12/12
x = 1
Now that we have the value of x, we can substitute it back into equation 1) to find y:
y = 4(1) - 7
y = 4 - 7
y = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
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Hazel plans to mow her neighbors' yards to earn money. She charges a base fee of $25 and $7 for every hour she mows. The amount she earns per yard can be represented by the linear function M(t) = 7t + 25. What is the value of M(2), and what is its interpretation?
a. M(2) = 39; If Hazel mows 2 yards, she will earn $39.
b. M(2) = 14; If Hazel mows 2 yards, she will earn $14.
c. M(2) = 39; If Hazel mows a yard for 2 hours, she will earn $39.
d. M(2) = 14; If Hazel mows a yard for 2 hours, she will earn $14.
The correct option is M(2) = 39; If Hazel mows a yard for 2 hours, she will earn $39 . Option C
What is a function?A function can be defined as an expression that shows the relationship between an independent variable and a dependent variable.
Given the function;
M(t) = 7t + 25
Where;
M is the amount she earns per yardt is the time in hoursFor M(2), we substitute the value of t as 2 in the function
M(2) = 7(2) + 25
M(2) = 14 + 25
M(2) = $39
This explains that the she mows the yard for t = 2 hours, she would earn $39
Thus, the correct option is M(2) = 39; If Hazel mows a yard for 2 hours, she will earn $39. Option C
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Refer to the information below to answer Questions 9 and 10. Value of Property Up to K35 000 K35 000 to K70 000 K70 000 to K140 000 Over K140 000 10. Rate of Stamp Duty 2% 3% 4% 5% 9. Calculate the stamp duty payable on properties whose purchase price is K45 000. (1 mark) Answer: Calculate the stamp duty payable on properties whose purchase price is K150 000. (1 mark) Answer:
9. The stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.
To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.
Given:
Value of Property:
Up to K35,000: Stamp Duty Rate - 2%
K35,000 to K70,000: Stamp Duty Rate - 3%
K70,000 to K140,000: Stamp Duty Rate - 4%
Over K140,000: Stamp Duty Rate - 5%
9. Calculate the stamp duty payable on properties whose purchase price is K45,000:
Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K45,000 * 3%
= K45,000 * 0.03
= K1,350
Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. Calculate the stamp duty payable on properties whose purchase price is K150,000:
Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K150,000 * 5%
= K150,000 * 0.05
= K7,500
Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.
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Fill in the blank if point A always begins at 45 and point B at 69.
A) Points A and B are units apart.
b) If A moves 2 units to the right, and B moves 2 units to the left, the points will be ______ units apart.
c) If A moves 2 units to the left, and B moves 2 units to the right, the points will be _____ units apart.
D) If A moves 10 units to the right, and B moves 10 units to the left, the points will be _____ units apart.
e) If A moves 12 units to the right, and B moves 12 units to the left, the points will be _____ units apart.
f) A moved units to the left, B moved the same number of units to the right, and the points became 48 units apart.
Using simple Subtraction, following is the required data.
point A always begins at 45 and point B at 69,
b) If A moves 2 units to the right, and B moves 2 units to the left, the points will be 20 units apart. (47 - 67)
c) If A moves 2 units to the left, and B moves 2 units to the right, the points will be 28 units apart. (43 - 71)
D) If A moves 10 units to the right, and B moves 10 units to the left, the points will be 4 units apart. (59 - 55)
e) If A moves 12 units to the right, and B moves 12 units to the left, the points will be 0 units apart.
f) A moved units to the left, B moved the same number of units to the right, and the points became 48 units apart.
Where Can Subtraction Be Used?We frequently employ subtraction in our daily lives. Subtraction is used, for instance, to determine how much money was spent on the products we purchased, how much money is still in our possession, or how much time is left to complete a task.
Subtraction can be applied in a variety of real-world situations.
Assume you had five apples and your friend had three. The number of remaining apples may be determined by subtracting: 5 - 3 = 2. Therefore, you are left with 2 apples. Similar to the previous example, if a class has 16 students, 9 of them are girls, we can determine the number of boys in the class by deducting 9 from 16. (16 - 9 = 7). There are 7 lads in the class, as far as we know.
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y=3(2-1)2+1
Solución
Answer:
y = 7
Step-by-step explanation:
y = 3(2-1) 2 + 1
y = 3(1)(2) + 1
y = 6 + 1
y = 7
all the factors of 14 that are odd
Answer:
1, 2, 7, 14
Step-by-step explanation:
its all of those
4.) BLACK
Calculate the volume
of 500 g of salt
Density of Salt is 2.16
Answer: 2 170 kilograms [kg] of Salt fit into 1 cubic meter. 135.46867 pounds [lbs] of Salt fit into 1 cubic foot. Salt weighs 2.17 gram per cubic centimeter or 2 170 kilogram per cubic meter, i.e. density of salt is equal to 2 170 kg/m³; at 20°C (68°F or 293.15K) at standard atmospheric pressure . In Imperial or US customary measurement system, the density is equal to 135.469 pound per cubic foot [lb/ft³], or 1.254 ounce per cubic inch [oz/inch³] .
Step-by-step explanation:
Need help. It’s iterations and all info should be on image
a) Using the given recurrence,
\(x_2 = \dfrac{{x_1}^3-1}4 = \dfrac{(-1)^3-1}4 = -\dfrac12 = -0.5\)
\(x_3 = \dfrac{{x_2}^3-1}4 = \dfrac{\left(-\frac12\right)^3-1}4 = -\dfrac9{32} = -0.28125\)
b) Proceeding as above, you'll find that successive values of \(x_n\), starting at n = 7, gravitate towards a solution of about -0.254102.
What is cos(tan^-1(-2/3))=
cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.
To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:
cos(tan^(-1)(x)) = 1 / √(1 + x^2)
In this case, x is -2/3. Substituting the value into the identity:
cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)
Now, let's calculate the value:
cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)
= 1 / √(13/9)
= 1 / (√13/3)
= 3 / √13
= 3√13 / 13
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find the percent of this number: 32% of 25 pages
Answer:
8 pages is 32% of 25
Step-by-step explanation:
Change 32% to a decimal.
32% = .32
Multiply by 25
.32 * 25
8
8 pages is 32% of 25
Answer:
8 pages
Step-by-step explanation:
Now we have to,
→ find the 32% of 25 pages.
Let's solve the problem,
→ 32% of 25
→ (32/100) × 25
→ 0.32 × 25
→ 8 pages
Hence, answer is 8 pages.
Find the values of x and z
Which of the following represents 20 = 5 x 4
A. 5 is 4 times as many as 20
B. 20 is 2 times as many as 10
C. 4 is 5 times as many as 20
D. 20 is 5 times as many as 4
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
the answer is d because
20 is "=" 5 times "×" as 4
so the formula derived is
20= 5x4
is represents =
times represents ×
hope you get it
Helpppppppppppppppppppp. Pleaseeee
A storm is moving toward your house at a speed of 20 km/hr. It is now 60 km away from your house. In what time will the storm reach your house?
A. 1 hr(s)
B. 2 hr(s)
C. 3 hr(s)
D. 4 hr(s)
Answer:
3 hr(s)
Step-by-step explanation:
20 km/1 hour
60km/20km = 3
what does 2(-3+5) + 7× (-4) + (-1) equal?
Answer:
-25
Step-by-step explanation:
= 2*(2) - 28 - 1
= 4 - 29
= -25
Given:-
\( \tt \: 2(- 3+5 ) + 7× (-4) + (-1) = ?\)\( \: \)
Solution:-
\( \tt \: 2(- 3+5 ) + 7× (-4) + (-1) \)\( \: \)
\( \tt \: 2( 2 ) - 28 - 1\)\( \: \)
\( \tt \: 4 - 29\)\( \: \)
\( \boxed{ \: \tt \pink{-25 }\: \: } \)\( \: \)
━━━━━━━━━━━━━━━━━━━━━━━
hope it helps! :)
I’ll give brainliest! Please help
Answer:
65
Step-by-step explanation:
The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65
Horacio is solving the equation-3/4 + 2/5x = 7/20x -1/2. Which equation represents possible ways to begin solving for x?
The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2
Which equation represents possible ways to begin solving for x?From the question, we have the following parameters that can be used in our computation:
-3/4 + 2/5x = 7/20x -1/2
The first step is to collect the like terms
So, we have
2/5x - 7/20x = 3/4 - 1/2
This represents an equation of the possible way to begin solving for x
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A jet plane can carry up to 200,000 liters of fuel. It used 130,000 liters of fuel during a flight. What percentage of the fuel capacity did it use on this flight?
Answer:
Step-by-step explanation:
65%
Step-by-step explanation:
Given: Full capacity= 200000 litres
Amount of fuel used during flight= 130000 litres
Now, finding percentage of fuel used on the flight.
∴ Percentage of fuel used=
Solving it, we will get
∴ 65% of fuel capacity been used in this flight.
Answer:
65%.
Step-by-step explanation:
(130,000/200.000) * 100
= 0.65 * 100
= 65%.
Jenny is tryin to find the real roots of x²-3x+7 by using the quadratic
Formula
The roots of the quadratic equation are (3 ± √(-19) / 2. Hence, the polynomial has no real roots.
What are the roots of the equation :The roots of an equation are the values of the variable that make the equation equal to zero. In a quadratic equation of the form ax²+bx+c=0, the roots can be found by using the quadratic formula:
x = (-b ± √(b²-4ac)) / 2a
Here we have
The quadratic equation x²- 3x+7
To find the roots of the quadratic equation x²-3x+7, we can use the quadratic formula, which states that the roots are given by:
x = (-b ± √(b²-4ac) / 2a
where a, b, and c are the coefficients of the quadratic equation.
In this case, we have a = 1, b = -3, and c = 7.
Substituting these values into the formula, we get:
x = (-(-3) ± √[ (-3)² - 4(1)(7) ] / 2(1)
x = (3 ± √(9 - 28)) / 2
x = (3 ± √(-19) / 2
Therefore,
The roots of the quadratic equation are (3 ± √(-19) / 2. Hence, the polynomial has no real roots.
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Complete Question
Jenny is trying to find the real roots of x²-3x+7 by using the quadratic
find the real roots of the equation.
The price of a used textbook after a 35% markdown is $28.60. What was the original price?
Answer:
28.60×.35=10.01
10.01+28.60=$38.61
. In a fort, there were provisions for 400 men for 23 weeks. 60 more men joined them. How long will the provisions
last?
The additional 60 men, the provisions will last for approximately 20 weeks.
To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.
Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.
Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.
To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:
Provisions last = Total person-weeks / Number of men
= 9200 / 460
≈ 20 weeks (rounded to the nearest whole number)
The additional 60 men will extend the supply's shelf life to around 20 weeks.
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Write an equation of the line below
Answer:
ok.
Step-by-step explanation:
y=-1/1x+4. hope this helped :))
Answer: y= -8/8x + 4
or y=-x+4
Step-by-step explanation:
In the following algebraic expression, determine the coefficients. -x-12+y 3 The coefficients are
Answer:
-1 and 1/3
Step-by-step explanation:
Answer:
Answer:
-1 and 1/3
Step-by-step explanation:
Step-by-step explanation:
Qué número es 3 unidades mayor que +5
Answer:
8
Step-by-step explanation:
5 + 3 = 8
WILL MARK BRAINLIEST! NEED HELP!
How does the graph of f(x) = (x + 2)4 + 6 compare to the parent function g(x) = x4?
Answer:
left 2 units and up 6 units
Step-by-step explanation:
f(x) = (x + 2)^4 + 6
y = f(x) + C C > 0 moves it up
So this moves it up 6 units
y = f(x + C) C > 0 moves it left
So this moves it to the left 2 units
The parent function g(x) is shifted to the left 2 units and up 6 units to get the function f(x).
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Given function;
f(x) = (x + 2)^4 + 6
y = f(x) + C
C > 0 moves it up
So, this moves it up 6 units.
y = f(x + C)
C > 0 moves it left
So, this moves it to the left 2 units.
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The perimeter of a rectangle is 343434 units. Its width is 6.56.56, point, 5 units.
Write an equation to determine the length (l)(l)left parenthesis, l, right parenthesis of the rectangle.
The length of the rectangle is 10.5 units.
What is perimeter?
Perimeter is the distance of a two-dimensional shape. It is equal to the sum of the lengths of all the sides of the shape. The perimeter is measured in units, such as centimeters, meters, feet, or inches, depending on the unit of measurement used for the dimensions of the shape.
The perimeter of a rectangle is given by the formula:
P = 2l + 2w
where P is the perimeter, l is the length, and w is the width.
In this case, we know that the perimeter is 34 units, and the width is 6.5 units. So we can substitute these values into the formula and solve for the length:
34 = 2l + 2(6.5)
Simplifying, we get:
34 = 2l + 13
Subtracting 13 from both sides, we get:
21 = 2l
Dividing both sides by 2, we get:
l = 10.5
So the equation to determine the length of the rectangle is:
2l + 2w = P
Substituting the known values, we get:
2l + 2(6.5) = 34
Simplifying and solving for l, we get:
2l + 13 = 34
2l = 21
l = 10.5
Therefore, the length of the rectangle is 10.5 units.
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Complete question: The perimeter of a rectangle is 34 units, its width is 6.5 units. Write an equation to determine the length (l) of the rectangle.
Circle O shown below has a radius of 29 inches. Find, to the nearest tenth of adegree, the measure of the angle, a, that forms an arc whose length is 32 inches.
Answer:
a=63.3°
Explanation:
Given a circle O in which:
• The radius, r = 29 inches
,• The length of an arc of the circle = 32 inches
We want to find the measure of the angle that forms the arc.
The length of an arc is calculated using the formula below:
\(l=\frac{\theta}{360\degree}\times2\pi r\)Substitute the known values:
\(32=\frac{a}{360}\times2\times3.14\times29\)Solve the equation for a:
\(\begin{gathered} \text{ Cross multiply} \\ a\times2\times3.14\times29=32\times360 \\ \implies a=\frac{32\times360}{2\times3.14\times29} \\ a\approx63.3\degree \end{gathered}\)The measure of angle a is 63.3 degrees.
16. Find the distance between points (-3,0) and (8,- 6)
\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~8 - (-3)~~)^2 + (~~-6 - 0~~)^2} \implies d=\sqrt{(8 +3)^2 + (-6)^2} \\\\\\ d=\sqrt{( 11 )^2 + ( -6 )^2} \implies d=\sqrt{ 121 + 36 } \implies d=\sqrt{ 157 }\)
Hello I keep getting these wrong I can't seem to get the rounding correct
Hello there. To solve this question, we'll have to remember some properties about ratios.
Given that Elena haves €2990 and wants to convert it to dollars, knowing that the current conversion rate is $1 = €1.17, we need to determine how much money she'll have in dollars.
For this, assume she'll have x dollars after the conversion.
This means that, in this conversion, the ratio is €2990 = $ x.
Using the given ratio for conversion, we get that:
\(\frac{x}{1}=\frac{2990}{1.17}\)Calculate the fractions
\(x\approx2555.55\)This is the answer to this question.
show me prymind with base length: 8 feet side length: 6.56 feet (calculated using the pythagorean theorem) height: 12 feet rmid
A diagram of a pyramid with the given measurements is not possible to generate.
But we can calculate he base length, side length and height of a pyramid using the Pythagorean theorem.
In a pyramid, the slant height (rmid) can be found using the Pythagorean theorem. If the base length (b) and the height (h) of the pyramid are known, the slant height (rmid) can be calculated using the formula:
rmid = sqrt(b^2 + h^2)
In this case,
rmid = sqrt(8^2 + 12^2) = sqrt(64 + 144) = sqrt(208) = 14.4
You can also use this information to find the side length of the pyramid, which is the length of one of the triangular faces. Using the Pythagorean theorem again:
side length = sqrt(rmid^2 - (b/2)^2)
In this case,
side length = sqrt(14.4^2 - (8/2)^2) = sqrt(207.36 - 16) = sqrt(191.36) = 6.56
So, based on the information provided, the base length of the pyramid is 8 feet, the side length is 6.56 feet and the height is 12 feet and the slant height is 14.4 feet.
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