rectangle abcd is dilated by a scale factor of 1/4 to form a’b’c’d’. point t is the center of dilation and lies on segment ab as shown
Answers
The slope of A'B' is 0 and the length of A'B' is 1/4(5) = 1.25 units.
What is transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
The line AB has the following coordinates.
A = (1, 4)
B = (6, 4)
The distance between AB is given as:
AB = √(6 - 1)² + (4 - 4)²
AB = √(5)²
AB = 5
The slope of AB = 0.
For the dilated rectangle the slope remains the same.
The slope of A'B' is 0 and the length of A'B' is 1/4(5) = 5/4 = 1.25 units.
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The correct question is:
Related Questions
Use proportions to determine 23% of what number is 81.3. Round to the nearest hundredth.
Answers
23% of 81.3 is 18.699 rounded to the nearest hundredth is 18.7
A rectangle is 13 feet long and has a diagonal that is 20 feet long. What is the length of the width?
Answers
=
✅231
(Decimal: 15.198684)
not sure if you need to round or not for your answer
✅ means radical
25 Points! Please help!!
Answers
[-32, 4, 20, -36]
Select all the measures of variability that can be used to compare two data sets.
A. Mean
B. Interquartile Range
C. Median
D. Mode
E. Range
Answers
Range, interquartile range, standard deviation, and variance are four measures of variability that can be used to compare two data sets.
Variability is most generally measured proving the following descriptive data:area:
Difference between highest and lowest values.
Range is the straightforward allowance to calculate variability. To asset the area, follow these steps:
Sort all the values in the dataset from lowest to highest.
Subtract the lowest value from the highest value. Interquartile range:
area of the middle half of the distribution
standard deviation:
mean distance from mean
Standard deviation is a useful measure of the variance of a normal distribution.
A normal distribution distributes data symmetrically without skew. Most of the values are clustered around the central region, with values tapering away from the center. Standard deviation indicates how far the data are, on average, from the center of the distribution.
deviation:
mean squared distance from mean
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Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
x+y=-4
-x-y=4
Answers
The following system of equations has no solutions, the correct option is A.
How to find the solution to the given system of equation?For that , we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.
If there comes a = a situation for any a, then there are infinite solutions.
If there comes wrong equality, say for example, 3=2, then there are no solutions, else there is one unique solution to the given system of equations.
We have given that;
system of equations are
x+y=-4.....1
-x-y=4......2
Now,
Rearranging the equation 2
-4=x+y
Its equal to equation 1
Therefore, the system of equations will have no solution.
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What is the positive solution to the equation 0= 1/4x^2-4
answers;
4
1
-1
-4
Answers
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here's the solution ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{4} {x}^{2} - 4 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{4} {x}^{2} = 4[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} = 4 \times 4[/tex]
[tex]\qquad \sf \dashrightarrow \: x = \sqrt{4 \times 4} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = \pm4[/tex]
[ but since we have been asked for positive solution, it will be 4 ]
Hence, the correct choice is : A.) 4
Find the value of x. Round to the
nearest tenth.
X
12
x= [?]
Enter
Answers
Answer: 2x + 12
Step-by-step explanation:
Luis wants to buy a skateboard that usually sells for $79.86. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 8.25%. Round your intermediate calculations and answer to the nearest cent.
The total cost of the skateboard is $
Answers
The total cost of the skateboard is $76.07.
What is the total cost of the skateboard?The first step is to determine the price of the skateboard after the 12% discount. A discount reduces the price of an item.
Price after discount = price before discount x (1 - percent discount)
$79.86 x (1 - 12/100)
$79.86 x (1 - 0.12)
$79.86 x 0.88
= $70.28
Price after the sales tax = (1 + sales tax) x price after discount
= (1 + 8.25/100) x $70.28
(1 + 0.0825) x $70.28
1.0825 x $70.28 = $76.07
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Im so confused right now. Can you help me
Answers
how will his speed compare? or namely, will he be within speed limits or should we give him a big fat ticket for speeding?
well, the 25 mi/hr limit is expecting anyone on that road to only do 40,234 meters per hour, so since an hour is 60 minutes and a minute is 60 seconds, that means an hour is really (60)(60) seconds, or 3600 seconds, so the limit is expecting anyone on that road to do no more than 40,234 meters per 3600 seconds, let's see how Usain fares
[tex]\begin{array}{ccll} meters&seconds\\ \cline{1-2} 100 & 9.63\\ 40234& x \end{array} \implies \cfrac{100}{40234}~~=~~\cfrac{9.63}{x} \implies 100x=(40234)(9.63) \\\\\\ x=\cfrac{(40234)(9.63)}{100}\implies x\approx 3874.53[/tex]
so Usain will covering those 40,234 meters in about 3875 seconds, that's longer than 3600 seconds, meaning Usain will need more than 3600 seconds to cover those meters so he's really going slower 40,234 meters per 3600 seconds, so he's golden, he's within speed limits, because the limit is expecting noone to do them in less than 3600 seconds.
Determine the correct answer using pi = 3.14 and rounding to the
nearest thousandth if necessary.
Find the surface area of a pyramid with a height of 9.8 meters,
slant height of 10.34 meters, and a square base with a width of
6.7 meters.
Answers
Base area:
The base of the pyramid is a square, so we can use the formula for the area of a square to find the base area.
Area of square base = width^2 = 6.7^2 = 45.29 sq m
Lateral area:
To find the lateral area, we need to find the slant height of the pyramid. We can use the Pythagorean theorem to find the slant height given the height and the base diagonal.
a^2 + b^2 = c^2, where c is the slant height, a is the height of the pyramid (9.8 m), and b is half the base width (6.7/2 = 3.35 m)
c^2 = a^2 + b^2 = 9.8^2 + 3.35^2 = 96.04 + 11.25 = 107.29
c = √107.29 = 10.34 m
Now that we have the slant height, we can use the formula for the lateral area of a pyramid to find the lateral area:
Lateral area = 1/2 * perimeter * slant height
Perimeter of base = 4 * width = 4 * 6.7 = 26.8 m
Lateral area = 1/2 * 26.8 * 10.34 = 138.532 sq m
Total surface area:
The total surface area of the pyramid is the sum of the base area and the lateral area:
Surface area = base area + lateral area = 45.29 + 138.532 = 183.822 sq m
So the surface area of the pyramid is approximately 183.82 sq m to the nearest thousandth.
assume that there are 60 students in a class and they will be seated in a classroom where there are 62 seats. in how many different ways this can be done?
Answers
There are 4,431,621,036,503,680 different ways to seat the 60 students in 62 seats.
If there are 60 students and 62 seats, then there will be 2 empty seats in the classroom. We need to find out the number of ways to seat the 60 students in these 62 seats.
To solve this problem, we can use the permutation formula:
nPr = n! / (n - r)!
where n is the total number of objects and r is the number of objects we want to arrange.
In this case, we want to arrange 60 students in 62 seats, so we can use the formula as follows:
62P60 = 62! / (62 - 60)!
= 62! / 2!
= 62 x 61 x 60 x ... x 3 x 2 x 1
= 4,431,621,036,503,680
Therefore, there are 4,431,621,036,503,680 different ways to seat the 60 students in 62 seats.
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Зу = 4х+5
4y = 4х +7
Answers
Answer:
y = 2; x = 1/4
Step-by-step explanation:
We can solve for y then x using elimination. We can multiply the first equation by -4 to cancel out the xs:
[tex]-1(3y=4x+5)\\\\4y=4x+7\\-3y=-4x-5\\\\y=2\\\\[/tex]
Now, we can plug in this 2 for y in any of two equations to find x:
[tex]3(2)=4x+5\\6=4x+5\\1=4x\\1/4=x[/tex]
Cuál es el perímetro?
Answers
The perimeter of the figure is 30.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
From the figure,
Number of sides = 5
Each side = 6
So,
The perimeter.
= 5 x 6
= 30
Thus,
30 is the perimeter.
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3. a computer password consists of two lowercase letters followed by a capital letter and four digits. find the total number of possible passwords.
Answers
The total number of possible passwords is 17,576,000.
There are several steps involved in calculating the total number of possible passwords.
Step 1: Determine the number of possible choices for the first lowercase letter. Since there are 26 letters in the alphabet, and the password consists of lowercase letters, there are 26 choices for the first letter.
Step 2: Determine the number of possible choices for the second lowercase letter. Since there are 26 letters in the alphabet and repetition is allowed, there are 26 choices for the second letter.
Step 3: Determine the number of possible choices for the capital letter. Since the password requires a capital letter, there are 26 choices for this position.
Step 4: Determine the number of possible choices for the first digit. Since there are 10 digits (0-9), there are 10 choices for the first digit.
Step 5: Determine the number of possible choices for the second digit. Since there are 10 digits (0-9) and repetition is allowed, there are 10 choices for the second digit.
Step 6: Determine the number of possible choices for the third digit. Since there are 10 digits (0-9) and repetition is allowed, there are 10 choices for the third digit.
Step 7: Determine the number of possible choices for the fourth digit. Since there are 10 digits (0-9) and repetition is allowed, there are 10 choices for the fourth digit.
Step 8: Multiply the number of choices for each position together to get the total number of possible passwords.
Using the multiplication rule of counting, we get:
Total number of possible passwords = (Number of choices for the first lowercase letter) x (Number of choices for the second lowercase letter) x (Number of choices for the capital letter) x (Number of choices for the first digit) x (Number of choices for the second digit) x (Number of choices for the third digit) x (Number of choices for the fourth digit)
Total number of possible passwords = 26 x 26 x 26 x 10 x 10 x 10 x 10
Total number of possible passwords = 17,576,000
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given the set [1,2,3,5,8,13,21,34,55}, how many integers between 3 and 89 cannot be written as the sum of excatly two elements of the set?
Answers
The final count of integers between 3 and 89 that cannot be written as the sum of exactly two elements of the set is 39.
To determine the number of integers between 3 and 89 that cannot be written as the sum of exactly two elements of the set {1, 2, 3, 5, 8, 13, 21, 34, 55}, we can use a process of elimination.
First, we can list all the possible sums of two distinct elements of the set. This gives us a total of 28 sums.
Next, we can identify all the integers between 3 and 89 that can be expressed as the sum of two distinct elements of the set. We can do this by checking each integer between 3 and 89 to see if it can be written as a sum of two elements of the set. If an integer can be written as a sum of two elements of the set, we can cross it off the list.
After eliminating all the integers that can be written as a sum of two elements of the set, we are left with the integers that cannot be expressed as such.
In summary, we can determine the number of integers between 3 and 89 that cannot be written as the sum of exactly two elements of the set by listing all possible sums, identifying the integers that can be expressed as such sums, and eliminating them from the list.
The remaining integers are those that cannot be expressed as the sum of exactly two elements of the set.
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Write a similarity transformation that maps ∆ABC to ∆DEF
Answers
Answer:
Reflect ABC over the y axis. Translate ABC 1 unit to the right. C is the center, dilate ABC with a scale factor of 2.
Step-by-step explanation:
I need help fast with this question
Answers
The value of the given function for x=122 is 5 and x=-346 is -7.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is f(x)= ∛(x+3).
To find f(122):
Substitute x=122 in the given function, we get
f(122)=∛(122+3)
= ∛125
= ∛5³
= 5
To find f(-346):
Substitute x=-346 in the given function, we get
f(122)=∛(-346+3)
= ∛-343
= ∛(-7)³
= -7
Therefore, the value of the function for x=122 is 5.
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What is the y-intercept of the line shown? (4 points)
A coordinate plane is shown. A line passes through the point -4 comma 1 and through the y-axis at 4.
3 over 4.
2
3
4
Answers
Answer:
y- intercept = 4
Step-by-step explanation:
the y- intercept is the value of y on the y- axis where the line crosses.
the line crosses the y- axis at 4
then y- intercept = 4
Tyler collects 1242 cans of pet food. He gives 150 cans to the vet. Then he packs 9 cans in each box to give to the animal shelter. How many cans of pet food are not in a box?
Answers
Answer:
121
Step-by-step explanation:
1242-150=1092/9 = 121 (remainder 3)
Answer: 121
Step-by-step explanation: 1241 - 150 / 9
Suppose your home is located at (0, 0) on a coordinate plane. The school is located 5 miles west of your home. The playground is 3 miles south of the school. What is the shortest distance, in miles, between your home and the playground? Round your answer to the nearest tenth
Answers
The shortest distance is 5.83 miles as we calculate this by distance formula.
A distance formula is a formula used to find the distance between any two points only if the coordinates are known. These coordinates can be on the x-axis, y-axis, or both. Suppose we have two points, P and Q, in the XY plane. Point P has coordinates (x1,y1) and Q has coordinates (x2,y2). Then the formula for the distance PQ between two points is:
PQ = √([tex](x2 - x1)^{2}[/tex] + [tex](y2-y1)^{2}[/tex])
The school is located 5 miles west of your home the co ordinate is (-5,0)
The playground is 3 miles south of the school so co - ordinate is (0,-3)
shortest distance = PQ = √([tex](x2 - x1)^{2}[/tex] + [tex](y2-y1)^{2}[/tex])
√([tex]5^{2} +3^{2}[/tex]) = √34
=5.830 miles
And this Question also can be do by right angle triangle method
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A 13-ft by 27-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 384 ft^2, how wide is the walkway?
Answers
Answer:
w = 25 / 4 feet wide.
Step-by-step explanation:
Let's call the width of the walkway "w."
The area of the rectangular pool is 13 * 27 = 351 ft^2.
The area of the walkway can be calculated by adding up the area of four rectangles, one around each side of the pool:
2 * (13 + w) * w + 2 * (27 + w) * w = 384
Expanding the equation:
2 * 13w + 2w^2 + 2 * 27w + 2w^2 = 384
Combining like terms:
2w^2 + 40w = 384
Solving for w^2:
2w^2 + 40w - 384 = 0
Using the quadratic formula:
w = (-40 ± √(40^2 - 4 * 2 * -384)) / (2 * 2)
Simplifying:
w = (-40 ± √(1600 + 3072)) / 4
w = (-40 ± √4272) / 4
w = (-40 ± 65) / 4
w = (25 / 4) or (-105 / 4)
Since w must be a positive value, w = 25 / 4 feet wide.
Answer:look it up frfr
Step-by-step explanation:
If 4 is added to twice the number n, the result is the same as if n were increased by 7. What is the value of n?
Answers
Answer:
n = 3
Step-by-step explanation:
Starting equation:
2n + 4 = n + 7
Subtract by n on both sides:
n + 4 = 7
Subtract 4 on both sides
n = 3
Check to see if the answer works:
2(3) + 4 = 3 + 7
6 + 4 = 3 + 7
10 = 10
The solution works
n = 3
if y x 3 equals to 3/5 y
Answers
Answer:
since y = 0 when x = 0
Step-by-step explanation:
We can start by solving for y in the equation:
y * x = 3/5 y
Dividing both sides by y:
x = 3/5
So the equation y * x = 3/5 y can be simplified to:
y = 5/3 x
This equation shows that there is a proportional relationship between y and x, where y is always equal to 5/3 times x. This relationship can be represented on a graph by plotting points (x, y) and drawing a line through them. The slope of the line will be 5/3, and the y-intercept will be 0, since y = 0 when x = 0.
Answer:
y = ±1/√5
Step-by-step explanation:
3y = 3/5y
⇒3y×5y = 3
⇒15y² = 3
⇒y² = 3/15
⇒y² = 1/5
⇒y = ±1/√5
Discount % is always calculated on the:
a) CP ( cost price).
b) SP ( selling price).
c) MP ( marked price).
d) None of these.
Answers
You and your brother go to the same store to buy fruit. You purchase a large watermelon for $7.71 and 2.4 pounds of red grapes. Your brother buys a platter of pre-cut fruit for $9.95 and 1.6 pounds of red grapes. The two of you spend the same amount of money. How much do the grapes cost per pound
Answers
The cost of red grapes per pound is $2.8.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, cost of a large watermelon and 2.4 pounds of red grapes is $7.71.
Let the cost of red grapes be x.
So, the total cost = 7.71+2.4x
Cost of a platter of pre-cut fruit and 1.6 pounds of red grapes is $9.95.
The total cost = 9.95+1.6x
Person and his brother spent same amount of money.
So, 7.71+2.4x=9.95+1.6x
2.4x-1.6x=9.95-7.71
0.8x=2.24
x=2.24/0.8
x=$2.8
Therefore, the grapes cost per pound is $2.8.
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Which ordered pairs are in the solution set of the system of linear inequalities?
y2-3x+2
y< 2x+3
Answers
Answer: 2
Step-by-step explanation:
five times a number is 120
Answers
120/5=x
X=24
Hope this helps!
2. Mel uses one fourth of a yard of ribbon to make a hair bow. How many hair bows can Mel make with 1 yard of ribbon? show your work and explantion.
Answers
Answer:
Step-by-step explanation:
1/4 is one bow.
1/4 *4 is 1 yard.
mel can make 4 bows.
Solve for x *
est
45
O x = 50
O x = 8
O x = 48.2
O x = 40.5
20
S
18
R
Answers
The value of x is given as follows:
x = 40.5.
What are similar triangles?Similar triangles share these two features:
Congruent angles, that is, angles that have the same measure.Proportional side lengths.The two triangles in this problem are similar, with the bisection, hence the proportional relationship for the side lengths is given as follows:
x/45 = 18/20
The relationship can be simplified as follows:
x/45 = 0.9.
Applying cross multiplication, the value of x is obtained as follows:
x = 45 x 0.9
x = 40.5.
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Resuelve los siguientes ejercicios sobre raíces cuadradas.
15. Observa la siguiente suma de radicales. Luego, de-
termina sí las proposiciones son verdaderas (V) o
falsas (F).
-10√3+√12+8√3
Turea
Solo es posible sumar el primer y el tercer
sumando, ya que son los únicos semejantes.
al
La suma de los tres radicales es igual a cero.
La suma de los tres radicales es
1-2√3+√2.
La diferencia entre el tercer y el primer l
sumando es igual a 18√3.
Answers
Answer:
La proposición "La suma de los tres radicales es igual a cero" es falsa. Si sumamos los tres radicales, tenemos:
-10√3 + √12 + 8√3 = (-10 + 8)√3 + √12 = -2√3 + √12.
La proposición "La suma de los tres radicales es 1-2√3 + √2" es falsa, ya que la suma real de los tres radicales es -2√3 + √12.
La proposición "La diferencia entre el tercer y el primer sumando es igual a 18√3" es falsa, ya que la diferencia real entre el tercer y el primer sumando es 8√3 - (-10√3) = 8√3 + 10√3 = 18√3.
