Answer: Dilation is a transformation that proportionally reduces or enlarges a figure.
Step-by-step explanation:
A dilation a transformation that changes the size of the shape by using scale factor in particular ways .It stretches or shrinks the actual figure. It produces similar figures.
Since the corresponding sides of similar figures are in proportion.
⇒ It proportionally reduces or enlarges a figure.
Hence, A dilation is a transformation that proportionally reduces or enlarges a figure.
Final answer:
A scale transformation or dilation is a linear transformation that proportionally enlarges or reduces a figure, maintaining the proportional size relationships within the figure.
Explanation:
A transformation that proportionally reduces or enlarges a figure is known as a scale transformation or dilation. In such a transformation, lines are transformed into lines, and parallel lines remain parallel, consistent with the requirement for a transformation to be linear. This is important because it maintains the proportionality of the figure, meaning the size relationship of the parts of a figure to each other and to the whole figure remains constant, even though the overall size changes. Dilation can be characterized by a scale factor, which dictates how much larger or smaller the figure will become. If the scale factor is greater than 1, the figure enlarges; if it is between 0 and 1, the figure reduces in size.
In a store 60 cans of soup are arranged to be this play into equal rows why does the fraction 10 over 60 not represent the situation explain
A certain triangle has two 45 angles. What type of triangle is it?
A. Acute scalene
B. Right scalene
c. Right isosceles
D. Acute isosceles
Answer:
C. Right isosceles
Step-by-step explanation:
In Acute scalene triangle, all angles are acute ( less than 90 degrees ) and different,
In Right scalene triangle, two angles are acute and different, while, the third angle is of 90°.
In Right isosceles triangle, two angles are acute and equal, while, the third angle is of 90°.
In Acute isosceles, all angles are acute in which any two angles are equal.
Now, given,
The two angle of the triangles are 45° and 45°,
Let x be the third angle,
⇒ x + 45° + 45° = 180°
⇒ x + 90° = 180°
⇒ x = 90°
Hence, the angles of given triangle are 45°, 45° and 90°,
By the above definitions,
It is clear that, given triangle is right isosceles.
Option C is correct.
3tan3x=3
solve please
A pet store has 7 tanks of fish. Each tank has k fish. Using k, write an expression for the total number of fish in the store.
The expression which represents the total number of fish in the store is 7k.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given,
Number of tank = 7
Number of fish in each tank = k
The total number of fish = number of tanks x number of fish in each tank
The total number of fish = 7 x k = 7k
Hence "The expression which represents the total number of fish in the store is 7k".
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What is the approximate distance between the points (-5, 1) and (-2, 3) on a coordinate grid ?
The number of lines that can be drawn perpendicular to a given line at a given point on that line in a plane is
Answer:
I JUST HAD THIS QUESTION 1
Step-by-step explanation:
Can someone solve #4 and explain it? I really appreciate it on this problem! Thank you :)
A 10-foot piece of string is cut into two pieces so that the longer piece is 1 footfoot longer than twice the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces.
shorter piece = x
longer piece = 2x+1
3x+1 =10
3x=9
x = 9/3=3
short piece = 3 feet
long piece = 2*3+1 = 7 feet
a mail distribution center processes as many as 150,000 pieces of mail each day. the mail is sent via ground and air. each land carrier takes 1800 pieces per load and each air carrier 1500 pieces per load. the loading equipment is able to handle as many as 150 loads per day. let X be the number of loads by air carriers and y the number of loads by air carriers. write a system of inequalities that represents this situation
Final answer:
The system of inequalities representing this situation is:
1500X + 1800Y ≤ 150,000.
X + Y ≤ 150.
X ≥ 0 and Y ≥ 0.
Explanation:
Let's define X as the number of air carrier loads and Y as the number of land carrier loads. Given that the mail distribution center processes up to 150,000 pieces of mail each day and the loading equipment can handle a maximum of 150 loads per day, we can write the following system of inequalities:
The total mail processed by both air and land carriers cannot exceed 150,000 pieces:
1500X + 1800Y ≤ 150,000.
The total number of loads carried by both air and land carriers cannot exceed 150 loads:
X + Y ≤ 150.
Furthermore, since there cannot be a negative number of loads, both X and Y have to be non-negative:
X ≥ 0 and Y ≥ 0.
These inequalities model the constraints for the mail distribution center's operations.
2x+3y=-2 4x+7y=-6 solve for the system of equations
(03.01) Is the following relation a function? y equals the sine of 3 x
Answer:
Yes. This is a function.
Step-by-step explanation:
Given is a function as
[tex]y = sin 3x[/tex]
We find that for every x in the domain of real numbers there is a unique image for every x as sin 3x.
Thus this relation given satisfies the requirements of a function.
Also we find that this function is periodic with amplitude 1 and period = 2pi/3
So vertical line test if done will find that there is only one intersection for every vertical line throughout the domain
Hence this relation is definitely a function
Find the volume of the square pyramid with length 14.7 inches and height 18 inches.
Kaveri has a total rs 590 as currency notes is the denominations ofrs50 , rs 20 , and rs 10 . the ratio of the number of rs 50 note and rs 2o is 3:5. if she has a total of 25 notes , how many notes of each denomination she has?
Sara is 33 years younger than Rolando. The Sum of their ages is 105. Select the system of equations if Sara's age is represented by S and Rolando's age is represented by R.
A. s+r=33
s=r-105
B. s+r=105
r=s-33
C. s+r=105
s=r-105
D. s+r=105
s=r-33
E. None of these
What is the circumference of a circular disc with a diameter of 10 centimeters? (Round your answer to the nearest tenth.)
The circumference of the circle is 31.4 cm
What is Circumference of circle?The circumference of a circle refers to the measure of its boundary. If we open a circle and measure the boundary just like we measure a straight line, we get the circumference of the circle in terms of units of length like centimeters, meters, or kilometers.
Now let us learn about the elements that make up circumference. These are the three most important elements of a circle.
Center: The center of the circle is a point that is at a fixed distance from any other point from the circumference.Diameter: The diameter is the distance across the circle through the center, it is a line that meets the circumference at both ends and it needs to pass through the center.Radius: The radius of a circle is the distance from the center of a circle to any point on the circumference of the circle.The formula for the circumference of a circle is expressed using the radius 'r' of the circle and the value of 'pi'. It is expressed as, Circumference of a circle formula = 2πr.
Given:
diameter= 10 cm
So,
Circumference of circle is = πd
=3.14* 10
=31.4 cm
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Find the length of a to the nearest tenth.
Rewrite the equation 8x+6x^2-7=x^2
in standard form and identify a, b, and c.
To rewrite the equation 8x + 6x^2 - 7 = x^2 in standard form, subtract x^2 from both sides and combine like terms. The standard form of the equation is 5x^2 + 8x - 7 = 0. The values of a, b, and c are 5, 8, and -7 respectively.
Explanation:The given equation is 8x + 6x^2 - 7 = x^2.
To rewrite it in standard form, we need to collect like terms. Subtracting x^2 from both sides, we get: 6x^2 + 8x - x^2 - 7 = 0.
Combining like terms, the standard form of the equation is 5x^2 + 8x - 7 = 0.
Here, a = 5, b = 8, and c = -7.
212 tens divided by 10 =
A jar has 4 balls lettered A, E, D, and G. One ball is drawn from the jar and it's letter is noted. A second ball is also drawn without replacing the first ball and it's letter is noted. List all the possible outcomes and find the probability that the letters on the 2 balls drawn consist of at least 1 vowel, no vowels, and the same letter.
50 POINTS FOR ANSWER!!!!!!!!!!!!!!!!!!!!!!
A mover uses a ramp to pull a 1000-Newton cart up to the floor of his truck, which is .8 meters high. If it takes 125 newtons to pull the cart, what is the length of the ramp?
The graph shows the number of paintballs a machine launches, y, in x seconds::
A graph titled Rate of Launch is shown. The x axis label is Time in seconds, and the x axis values are from 0 to 20 in increments of 4 for each grid line. The y axis label is Number of Balls, and the y axis values from 0 to 80 in increments of 16 for each grid line. A line is shown connecting points on ordered pair 4, 16 and 8, 32 and 12, 48 and 16, 64.
Which expression can be used to calculate the rate per second at which the machine launches the balls?
fraction 64 over 4
fraction 4 over 64
fraction 16 over 4
fraction 4 over 16
a fraction should be number of balls over time per second
so it should be 16/4 which is 4 balls per second
Answer: fraction 16 over 4
Step-by-step explanation:
The given graph shows the number of paintballs a machine launches, y, in x seconds.
We know that the rate of change of a line is given by :-
[tex]k=\frac{y_2-y_1}{x_2-x_1}[/tex]
The ordered pairs on the line in graph are (4, 16) and (8, 32) and (12, 48) and (16, 64).
Thus, the rate per second at which the machine launches the balls is given by :-
[tex]k=\frac{32-16}{8-4}=\frac{16}{4}
Enter the slope-intercept equation of the line shown below.
A rectangle has a length of the cube root of 81 inches and a width of 3 to the 2 over 3 power inches. Find the area of the rectangle.
3 to the 2 over 3 power inches squared
3 to the 8 over 3 power inches squared
9 inches squared
9 to the 2 over 3 power inches squared
Question 4(Multiple Choice Worth 2 points)
(MC)
Rewrite the rational exponent as a radical.
5 to the 3 over 4 power, to the 2 over 3 power
the cube root of 5 squared
the twelfth root of 5
the square root of 5
the cube root of 5 the fourth power
Question 5(Multiple Choice Worth 2 points)
(MC)
Rewrite the radical as a rational exponent.
the cube root of 2 to the seventh power
2 to the 3 over 7 power
2 to the 7 over 3 power
2 to the power of 21
2 to the power of 4
A low bal will always cause a hangover
4m - 4 = 4m
Please solve and show work
graph the line with the slope 1/3 and y-intercept -2
The graph of the line y = (1/3)x - 2 can be plotted on a graph paper by choosing some arbitrary values of x.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
The given line in terms of the slope-intercept method can be written as,
y = (1/3)x - 2.
Now to plot the graph on graph paper or any digital tool we have to choose some arbitrary values of x that corresponds to some values of y.
Like at x = 0 y = -2 So, the coordinates are (0, -2).
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solve the equation using any method: -2x^2-4x=6
Find the critical value tc for the confidence level cequals 0.95 and sample size nequals 19.
The critical values are fixed values which can be obtained from the standard t crit tables. We can find the critical value tc when the degrees of freedom and confidence level are given. The degrees of freedom is simply:
Degrees of Freedom = Number of samples – 1
Degrees of Freedom = 19 – 1
Degrees of Freedom = 18
From the t critical tables, the tc corresponding to Degrees of Freedom equal to 18 and Confidence level equal to 95% is as follows:
tc = 2.101
Therefore this means that any t value beyond 2.101, we already reject the null hypothesis.
Part B: Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth
The table below shows the velocity y, in miles per minute, of a toy car at different times x, in minutes: Time (x) (minutes) 10 20 30 40 Velocity (y) (miles) 0.2 0.8 0.1 0.4 Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and velocity of the toy car. (4 points) [Choose the value of correlation coefficient from −1, 1, −0.04, 0.99] Part B: What is the value of the slope of the graph of velocity versus time between 10 minutes and 20 minutes, and what does the slope represent? (3 points) Part C: Does the data in the table represent correlation or causation?