The equation that represent that image of the line after dilation is
[tex]y = 2x-6[/tex]
Given :
The line [tex]y=2x-4[/tex] is dilated by a scale factor of [tex]3\div2[/tex] and centered at the origin.
Solution :
The given line has slope 2 and y intercept -4.
As dilation conserves the parallelism, the dilated line will have the same slope = 2 and the y intercept of the dilated line is
[tex]= -4\times \dfrac{3}{2}=-6[/tex]
Therefore the equation that represent that image of the line after dilation is
[tex]y = 2x-6[/tex]
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I am posting my work for an application of integrals problem. I would love to know if anyone else agrees with my work!
Rovide an appropriate response.4) assume that adults have iq scores that are normally distributed with a mean of 100 and a standard deviation of 15 (as on the wechsler test). find the iq score separating the top 14% from the others. 4)
Mrs. Cantonwine teaches 2 math classes. There are 28 students in 6A and 21 students in 6B. She divided both classes into groups of equal size. How many students are in a group?
A box is 10 cm long, 5 cm wide, and 2 cm high. What is the surface area of the box? (S.A. = 2lw + 2lh + 2wh)
Answer:
your answer is 160 cm2
Step-by-step explanation:
ez
Gio is studying the rectangular pyramid below.
He believes the surface area, in square millimeters, can be found by simplifying this expression.
(4.2)(9.6)+1/2(4.2)(6.5)+1/2(9.6)(4.8)
What error is Gio making?
He used the wrong values as the bases of the lateral faces.
He used the wrong expression to represent the area of the base of the pyramid.
He used two different values as the heights of the lateral faces. NOT C
He used an expression for surface area that did not include all the faces.
PLZZ HELP
the answer is A. hope this helps!!!!
The error that Gio is making in finding the surface area of the rectangular pyramid is that He used an expression for surface area that did not include all the faces.
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given a rectangular pyramid.
Pyramid consists of one rectangular side and 4 triangular faces of which each pair of triangular faces is identical.
Total surface area of the pyramid is the total surface area of each faces.
Area of rectangular face = (4.2) (9.6)
Area of the triangular faces = [2 × 1/2 × 4.2 × 6.5] + [2 × 1/2 × 9.6 × 4.8]
= (4.2) (6.5) + (9.6) (4.8)
Total area = (4.2) (9.6) + (4.2) (6.5) + (9.6) (4.8)
So his mistake is that he only find the areas of two triangular faces.
Hence the correct option is that He used an expression for surface area that did not include all the faces.
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A notebook has a perimeter of 36 inches. It’s area is 80 square inches. What are the dimensions of the notebook
__inches by___ inches
Final answer:
To solve for the dimensions of the notebook, we set up equations based on the perimeter and area, then solved the quadratic equation to find that the dimensions are 10 inches by 8 inches.
Explanation:
To find the dimensions of a notebook with a perimeter of 36 inches and an area of 80 square inches, we will use the formulas for the perimeter and area of a rectangle. The perimeter (P) of a rectangle is 2 times the length (l) plus 2 times the width (w), or P = 2l + 2w. The area (A) of a rectangle is length times width, or A = lw.
Given P = 36 and A = 80, we can set up two equations:
2l + 2w = 36l × w = 80First, we simplify the perimeter equation to l + w = 18 by dividing everything by 2. We can then express w in terms of l: w = 18 - l. Now, we substitute w into the area equation: l(18-l) = 80. Expanding this gives us a quadratic equation: l2 - 18l + 80 = 0.
To solve the quadratic equation, we look for factors of 80 that add up to 18. The factors are 10 and 8, meaning the length is 10 inches and the width is 8 inches, since l = 10 and w = 8 satisfy both the area and perimeter equations.
Therefore, the dimensions of the notebook are 10 inches by 8 inches.
Which of the following best describes the following set of numbers? 6 + 8 + 10 + 12 + ... + (4 + 2n) + ...
answers:
Arithmetic SequenceGeometric SeriesGeometric SequenceArithmetic Series
Answer:
The term that best describes the given set of numbers is:
Arithmetic Series.
Step-by-step explanation:
We are given a series of numbers as:
6 + 8 + 10 + 12 + ... + (4 + 2n) + ...
Clearly as wee could see that each term in the given expression is separated by a plus sign, Hence, the given expression is a series and not a sequence.
Also as we could see that each in the series is more than the preceding term by 2 i.e. the common difference of the term is 2.
( Since, the set of numbers is given as:
[tex]a_0+a_1+a_2+a_3+....[/tex]
where,
[tex]a_n=2n+4[/tex]
[tex]when,n=0\\\\a_1=4\\\\when,n=1\\\\a_1=6\\\\and\ so\ on[/tex]
Also,
[tex]a_0-a_1=2\\\\Simialrly\\a_2-a_1=2\\\\and\ so\ on[/tex]
Hence, the common difference is 2. )
Hence, the given series is an Arithmetic series.
Which of the following rates is proportional to $2.50 for 5 cans?
A. $2.00 for 3 cans
B. $4.00 for 7 cans
C. $4.50 for 9 cans
D. $1.50 for 1 can
Answer:
C. $4.50 for 9 cans
Step-by-step explanation:
What is the equation of a circle with center (8, 4) and radius 7?
The standard form of the equation of a circle is given by (x-h)² + (y-k)² = r², where (h, k) are the center and r is the radius. For a circle with center at (8, 4) and radius 7, the equation of the circle becomes (x - 8)² + (y - 4)² = 49.
Explanation:The equation of a circle in standard form is given by (x-h)² + (y-k)² = r², where (h, k) are the coordinates of the center of the circle and r is the radius. This formula comes from Pythagorean theorem and how a circle is defined as the locus of points equidistant from a given point (the center).
By substituting the given center and radius into this formula, we can write the equation of the specific circle you're asking about. The center of this circle is (h, k) = (8, 4), and its radius is r = 7. Therefore, the equation of the circle is (x - 8)² + (y - 4)² = 7² or (x - 8)² + (y - 4)² = 49.
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The equation of the circle is (x-8)^2 + (y-4)^2 = 49.
Explanation:The equation of a circle with center (h, k) and radius r is given by the formula:
(x-h)2 + (y-k)2 = r2
In this case, the center is (8, 4) and the radius is 7. So, the equation of the circle is:
(x-8)2 + (y-4)2 = 72
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3 4 (2)t/3 = 9 Round your answer to the nearest hundredth. A) 1.62 B) 3.24 C) 8.26 D) 10.75
Roger goose had a 500-yard head start on willa. if willa's speed was 40 yards per second and roger's speed was only 20 yards per second, how long did it take willa to catch up
I don't understand this question. Could anyone excplain to me what it wants me to do and what the answer is?
What is the diameter of a sphere that has a surface area of 1041 square inches?
A) 9.1
B) 22.5
C) 40.3
D) 18.2
Claudia is on a motorcycle trip. She checked the odometer at the beginning of the trip, and it showed 16,789 miles. After 15 days it showed 22,189 miles. If Claudia rode the same number of miles each day how many miles did she ride in a day?
A.360 miles
B 540 miles.
C.771 miles
D.1,479 miles
please help me
22,189 - 16,789 = 5,400
5,400 / 15 = 360
360 miles a day
Every day for two full weeks (14 days) jimmy records the number of coins in his pocket. he finds that the mean is 27. he decides to remove one sunday's total because it was an outlier. his new mean is 18 coins. how many coins did he have in his pocket on the sunday he removed?
a.18
b.27
c.126
d.144
Answer:
It is D.)144
Step-by-step explanation:
ANSWER TRUTHFULLY WILL NAME YOU BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!
The ordered pairs (1,5) (2,25) (3,125) (4,625) and (5,3125) represent the function y=5^x. How does this rule represent the function?
A) y=x5
B) y=5x
C) y=5^5=x
D) y=x+5
The average of paula's two test scores must be 80 or more for her to get at least a b in the class. she got a 72 on here first test. what grades can she get on the second test to make at least a b in the class
Find the derivative of f(x) = negative 10 divided by x at x = -12.
find the volume of the specificed cone. Use 3.14 for pie, and round your answer to the nearest whole number.
Radius=9 in., Height=8 in.
a. 1017 cu. in.
b. 151 cu. in.
c. 678 cu. in.
d. 1356 cu. in.
Someone please help
Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x.
m<O = 135
(See picture down below)
a) 45
b) 315
c) 270
d) 67.5
If a map shows the straight line distance between two cities as 3 1/2 centimeters and the map scale shows that 1 centimeteer equals 100 kilometers what would the actual distance be
Answer:
The actual distance between the two cities is 350 kilometers
Step-by-step explanation:
Information given to us to answer the question correctly:
Distance between two cities in the map = 3 1/2 centimeters
Scale of the map: 1 centimeter = 100 kilometers
2. What would the actual distance be?
Let's calculate the actual distance between the two cities, this way:
Actual distance = Distance between two cities in the map * Scale of the map
Replacing with the real values:
Actual distance = 3.5 * 100
Actual distance = 350 kilometers
brianna deposit $680.00 into savings account that pays a simple interest rate of 1.29% how much will she earn after 3 years
Which values in this data set are outliers?
119, 65, 68, 78, 74, 85, 120, 86, 78, 65, 35
Select outlier or not outlier to whether the following numbers are outliers.
35
65
119
120
Expand and simplify: (x + 5y) (x − 3y)
What is the focus of the parabola? y=−1/4x^2−x+3
Enter your answer in the boxes.
(__ ,__ )
A family drove 2,275 miles from Los Angeles to Atlanta in a time span of 35 hours . Calculate their average speed in miles per hour .
The family drove at an average speed of 65 mph from Los Angeles to Atlanta with a span length of 2275 miles
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The equation for average speed is given as:
Average speed = Total distance / total time
Hence:
Average speed = 2275 miles / 35 hour = 65 mph
The family drove at an average speed of 65 mph from Los Angeles to Atlanta
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What is the domain of the function
Answer:
The domain of the function is x>=-7
Step-by-step explanation:
The domain is all the values that x can take so the function is defined, that means we can find a value of y
The sqrt is defined only for positive values and zero. So the expression in the sqrt must satisfy that
6x + 42 >=0
We only have to find x
6x >=-42
x>=-42/6
x>=-7
So the answer is D x>=-7
Write an equation that you can use to solve for x.
Enter your answer in the box.
133 degrees is your answer
Which of the following choices is the value of cscΘ?
a) 12/15
b) 9/15
c) 15/12
D) 15/9
please help asap 50 pts
I tried plugging in all the answers, and found that C works the best. Hope that helps.
Good luck!
-RxL