Answer: Answer C , Only student 2, because dilation preserve angle measures and side lengths are proportional
The true statement is only student 2, because dilations preserve angle measures and side lengths are proportional.
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.
In Reflection the figure is flipped. In other words, a figure when undergoes reflection becomes it's mirror image.
Dilation preserves the angle measures, so the triangles will be similar.
Reflection, on the other hand, will result in congruent triangles.
Student 1 said that Reflect △ABC across the y-axis and then dilate it by a scale factor of 1 with the center of dilation at the origin.
If the scale factor is 1, then the dilated image will be the same as the original image.
So the resulting triangle will be congruent to the original triangle.
In the case of what student 2 said, scale factor is 2. Triangle is enlarged.
So the resulting image will be similar to the original one.
Hence student 2 is correct.
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Let U be the universal set, where: U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 } Let sets A , B , and C be subsets of U , where: A = { 2 , 3 , 5 , 6 , 7 } B = { 1 , 3 , 9 , 10 , 11 , 14 } C = { 5 , 9 , 12 , 13 , 15 }
Answer:
16 elements
0 elements
Step-by-step explanation:
U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 }
Let sets A , B , and C be subsets of U , where:
A = { 2 , 3 , 5 , 6 , 7 }
B = { 1 , 3 , 9 , 10 , 11 , 14 }
C = { 5 , 9 , 12 , 13 , 15 }
(A U B U C) = elements in either A, or B or C
(A U B U C) = {1,2,3,5,6,7,9,10,11,12,13,14,15}
(A U B U C) n (A U B U C) = elements on both intersecting set ; this will contain the same set as (A U B U C) are the same.
Number of elements = 13
(A n B n C) = elements occurring in both A, B and C
(A n B n C) = {} = empty set
(A n B n C) n (A n B n C) = {} = 0
Which expression is equivalent to 24x2 – 22x + 5?
Answer:
C: (12x - 5) ( 2x - 1)
Step-by-step explanation:
12 x ( 2x- 1 ) -5 (2x - 1 )
= (12x - 5 ) ( 2x -1)
Hope it helps !
Answer:
12x-5 2x-1
Step-by-step explanation:
This is the correct answer. Answer C
A scientist uses a submarine to study ocean life.
*She begins at sea level, which is an elevation of 0 feet.
*She descends for 91 seconds at a speed of 2.2 feet per second.
*She then ascends for 32 seconds at a speed of 0.7 feet per second.
At this point, what is her elevation, in feet?
if you anserw corectly ill give you crown and more points
Answer:
-177.8 feet below sea level.
Step-by-step explanation:
First, we know that decend means to lower. Anything lower than 0 has to be negative. It says that she decends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.
Hope this helps!
a man spends ⅕ of his salary on shoes and ⅔ on school fees. what is the fraction of his salary left. pls help asap
Answer:
2/15
Step-by-step explanation:
1/5 + 2/3
= 3/15 + 10/15
= 13/15
15/15 - 13/15
= 2/15
39.341 × 0.72 = _____
Answer:
28.32552
Step-by-step explanation:
39.331×0.72=28.32552
WILL GIVE BRAINLIEST IF CORRECT!!!
Write an equation that represents the line.
Use exact numbers.
Answer:
y = 3/4 x - 9/2
Step-by-step explanation:
Slope = 3/4
y = mx + b
y = 3/4x + b
0 = 3/4 (6) + b
0 = 18/4 + b
-9/2 = b
y = 3/4 x - 9/2
8p²-18p² need help from brainliest
Answer:
- 10p2
Step-by-step explanation:
p(8p - 18 p)
p x -10p
ans = -10p2
Answer: -10p²
This is the same as saying -10p^2
============================================
Explanation:
Both terms 8p² and -18p² are like terms.
We combine them in much the same way as 8-18 = -10, just with a p² attached to everything.
So 8p² - 18p² = (8-18)p² = -10p²
The coefficient -10 is negative because we're subtracting small minus big. If it was the other way around, then we'd get a positive value.
PLSSS, NEED ANSWER. Find the midpoint of the line segment with end coordinates of (-2,-5 and 3,-2
). Give coordinates as decimals where apropriate
Answer:
(0.5, -3.5)
Step-by-step explanation:
(x1 + x2/2, y1 + y2/2)
(-2 + 3 / 2, -5 - 2 / 2)
(1/2, -7/2)
help 0-0-0-0-0-0-0-0-0-0-0-0-0-0
Answer:
(12,0)
Step-by-step explanation:
So whenever you are asked for an "intercept" it is the point where a line crosses the axis. The x intercept is where the line crosses at the x axis (horizontal line on the graph) and the y intercept is where the y axis crosses (vertical axis).
So this question is really asking where is the point when y = 0
The x values in the chart are 5 apart-- 22 +5 = 27, 27+ 5 = 32
The y values are 18 apart --> 36 + 18 = 54, 54+ 18 = 72
Make a little chart where y = 0 (this is where the x crosses) and you can see
there is a point at (17, 18) and then (12, 0) and that point is the x intercept.
Answer:
(12, 0)
Step-by-step explanation:
the x-intercept is the point, where y=0.
so, the second coordinate is therefore 0, no matter what.
now, at what x is that ?
let's find the line function.
a line is
y = a×x + b
let's use the first point (22, 36)
36 = a×22 + b
a = (36 - b)/22
let's use the second point (27, 54)
54 = a×27 + b
now we use the first expression describing a in terms of b and insert that into the second expression.
54 = 27×(36 - b)/22 + b
54×22 = 27×(36 - b) + 22b = 972 - 27b + 22b
1188 = 972 - 5b
216 = -5b
b = -43.2
=>
a = (36 - -43.2)/22 = (36 + 43.2)/22 =79.2/22 = 3.6
our line is
y = 3.6x - 43.2
so, now back to the question, at what x is y=0 ?
0 = 3.6x - 43.2
3.6x = 43.2
x = 12
PLEASE HELP WILL MARK BRAINLIEST - An airplane travels 150 miles horizontally during a decrease of 35,000 feet vertically.
1. What is the angle of descent?
2. How long is the plane's path?
Answer:
[tex]\text{1. }2.53^{\circ},\\\text{2. }792,772.98\:\mathrm{ft}[/tex]
Step-by-step explanation:
Start by converting miles to feet:
[tex]150\text{ miles}=150\cdot 5280\text{ feet}=792000\text{ feet}[/tex]
Form a right triangle with the plane's displacement marking the hypotenuse of this triangle. We can now use basic trig for a right triangle to solve for the angle of descent.
Let the angle of descent be [tex]\theta[/tex]. In a right triangle, the tangent of an angle is equal to its opposite side divide by its adjacent side.
Therefore, we have:
[tex]\tan \theta=\frac{35000}{792000},\\\\\theta =\arctan(\frac{35000}{792000})=2.53036411\approx \boxed{2.53^{\circ}}[/tex]
In all right triangles, [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle (Pythagorean Theorem).
Therefore, the length of the plane's path is:
[tex]35,000^2+792,000^2=c^2,\\c^2=628489000000,\\c=\sqrt{628489000000}=792772.981376\approx \boxed{792,772.98\:\mathrm{ft}}[/tex]
skins legendary skins 100 points epic skins 50 points rare skins 25 points uncommon skins 10 points common skins 5 points this is a game
legendary skins
epic skins
rare skins
uncommon skins
common skins
Answer:
so legendary is twice epic
epic is twice rare
rare is 2.5 uncommon
uncommon twice common
The exponent on b when b^3 is multiplied by b^3 is
A. 3
B. 6
C. 9
Answer:
B. 6
Step-by-step explanation:
3³ x 3³ = 3⁶
The answer is 6
Answer:
B) 6
Step-by-step explanation:
The reason for this is really awesome and is clearly seen when you expand it.
x^3= x times x times x
x^3= x times x times x
x^3 times x^3= x times x times x times x times x times x= x^6
Eliza says, “Every member of the population is equally likely to be selected for the sample”. Which type of sample is Eliza describing?
a
a random sample
b
a biased sample
c
a stratified sample
d
a quota sample
Answer: A. A random sample
Step-by-step explanation:
Since everyone is equally as likely yo be selected for this sample, is has to be random because there won't be any interference to the probability of your chances of being selected in the population
I hope this helps!
A circle has a radius of 6cm. What is the area of a sector subtended by an angle of 30 degrees
Answer:
1/12 of the area of the circle
Step-by-step explanation:
Since the total angle measure of a circle is 360 degrees, a 30 degree sector is 30/360=1/12
What is the circumference of a circle with a diameter of 12 feet? (use 3.14 for pi)
36 ft.
37.68 ft.
36.26 ft.
38 ft.
Answer:
37.68ft
Step-by-step explanation:
Answer:
37.68 ft
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d where d is the diameter
C = 3.14 * 12
C =37.68 ft
On a coordinate plane, triangle A B C has points (negative 2, negative 1), (negative 2, negative 3), (negative 5, negative 1). Triangle ABC is translated 6 units to the right and 1 units up. What are the coordinates of C'? C'(4, –2) C'(4, –0) C'(4, 2) C'(1, 2)
Answer:
The answer is A
Step-by-step explanation:
C’(4, –2)
The coordinates of C' are (1, 0)
What is translation?A translation moves a shape up, down or from side to side, but it does not change its appearance in any other way.
Given that, On a coordinate plane, triangle A B C has points (-2, -1), (-2, -3), (-5, -1).
When Triangle ABC is translated 6 units to the right and 1 units up.
We know that rule for translating b unit up and a unit right is
(x, y) → (x+a, y+b)
Hence, the coordinates for C' =
(-5, -1) = (-5+6, -1+1) = (1, 0)
Hence, the coordinates of C' are (1, 0)
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Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10?
Answer: The sequence generated is 10, 8, 6, 4, 2, ...
This sequence is arithmetic with starting term 10 and common difference -2. This means we add -2 to each term to get the next one (same as subtracting 2 from each term). This common difference is directly connected to the -2 from the recursive rule f(n+1) = f(n)-2
Whatever the nth term f(n) is, we subtract off 2 to get f(n)-2 to get the f(n+1) term, which is right after the nth term.
Answer:
Step-by-step explanation:
f(1)=10
n=1
f(1+1)=f(1)-2
f(2)=10-2=8
n=2
f(2+1)=f(2)-2
f(3)=8-2=6
n=3
f(3+1)=f(3)-2
f(4)=6-2=4
so sequence is 10,8,6,4,...
Will mark brainliest
Answer:
the answer would be 270
Step-by-step explanation:
i can explain later:
since x = 5, you plug it in f = 4x +7, and you get f = 27 and since 1/2x is in the denominator, it will flip over and become 2x. 2x is 10, so you multiply f by g and get 270 which is if f/g(5) is the question.
Using the following image, complete the statement below. I got all the answers I need the ones that is blank
Answer:
DE is congruent to BE , ED is congruent is EB and the last one is midpoint.
Step-by-step explanation:
Find the distance between the pair of points: (0,-8)and (0,4)
Step-by-step explanation:
the answer is in the image above
Answer:
12
Step-by-step explanation:
[tex]\sqrt{0^{2} + 12^{2} }[/tex]
12
Indicate the equation of the given line in standard form, writing the answer in the equation box below.
The line containing the longer diagonal of a quadrilateral whose vertices are A(2, 2), B(-2,-2), C(1, -1), and D16, 4).
9514 1404 393
Answer:
x -3y = 4
Step-by-step explanation:
A plot of the points reveals the longer diagonal to be BD. (Also, point C is on that line.)
We can write the standard form equation of the line through (x1, y1) and (x2, y2) as ...
(y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1
For points (-2, -2) and (16, 4), this equation is ...
(4 -(-2))x -(16 -(-2))y = (4 -(-2))(-2) -(16 -(-2))(-2)
6x -18y = -12 +36
Dividing by the greatest common factor (6), we have the standard-form equation ...
x -3y = 4
Dylan is saving money to buy a new bike that costs $195. He has $25 already saved and plans to save $40 each week. Which equation can be used to find the number of weeks he will need to save money to buy the bike?
Answer:
25+40x=195
Step-by-step explanation:
If he already has $25, you need to add that to 40x (40 times the amount of weeks it takes to get to 195, added with 25).
Two parallel sides of a trapezium are 120 cm and 154cm and the other sides are 50 cm and 52 cm. Find the area of trapezium.
6576 cm2
See the image encrypted above.
Which expression is equivalent to 10k + 17 - 7j - 18 - 11k?
-8jk - 1
-7j - k - 1
-7j + k + 1
-8j - k
PLEASE HURRY !!!!
20 POINTS!!!
Answer:
-7j-k-1
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
An equivalent expression is an expression which is equal to 10k + 17 - 7j - 18 - 11k. You can expand or simplify an expression to make an equivalent expression. Combine like terms to form a new equivalent expression. Like terms are terms which have the same base or variable.
10k + 17 - 7j - 18 - 11k
10k -11k + 17 - 18 - 7j Move to group like terms together.
-k - 1 - 7j
Evaluate e^4 to one decimal place
Answer:
The answer is going to be the general form for e^x = 1 + x/(1!) + + x^2/(2!) + x^3/(3!) +.....,. till infinity so : e^4 = 1 + 4/1 + 16/ 2 + 64/6 + 256/24 + 1024/ 120 + 4096/720 + 16384/5040 +...till the fraction is<0.1 = 54.6
find the slope of the line
Answer:
Slope = 4
Step-by-step explanation:
Consider two set of point through which the line passes.
Let it be ( 0, 4 ) and ( -1 , 0)
Find slope .
[tex]Slope = \frac{rise}{run } = \frac{y_2 - y_ 1 }{x_2 - x_1} , \ where \ \ (x_1 , y_1) = (0, 4 ) \ and \ (x_2, y _ 2) = ( -1 , 0 )[/tex]
[tex]Slope = \frac{0-4}{-1-0} = \frac{-4}{-1} = 4[/tex]
Given the equation −4square root of x minus 3 = -12, solve for x and identify if it is an extraneous solution.
A. x = 0, solution is extraneous
B. x = 0, solution is not extraneous
C. x = 12, solution is extraneous
D. x = 12, solution is not extraneous
Answer:
D. x = 12, solution is not extraneous
Step-by-step explanation:
-4√(x - 3) = -12
Divide both sides by -4
√(x - 3) = 3
Square both sides
x - 3 = 9
add 3 to both sides
x = 12
To see if it's extraneous plug into original problem
-4√(12 - 3) = -12
-4√(9) = -12
-4 * 3 = -12
-12 = -12
not extraneous
What expression is equivalent to (5z^2+3z+2)^2
?
Answer:
[tex]{ \tt{ {(5 {z}^{2} + 3z + 2)}^{2} }} \\ = (5 {z}^{2} + 3z + 2)(5 {z}^{2} + 3z + 2) \\ = (25 {z}^{4} + 30 {z}^{3} + 29 {z}^{2} + 12z + 4)[/tex]
PLEASE HELP: Click on the graph to choose the correct answer to the equation.
y > 2
(Choose one of the graphs from the image as the answer)
Answer:
The 8th graph.
Step-by-step explanation:
It has a horizontal line over two which indicates that the y axis is known and over 2.
The required graph of the given inequality y > 2 is shown in the attached file, which is the correct answer that would be an option (H).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We have been the given inequality y > 2
Plot the "y=" line (a solid line for y or y, and a dashed line for y or y>). The shade above the line for a "greater than" (y> or y), or below the line for a "less than" (y or y).
It has a horizontal line over two which represents that the y-axis is known and over 2 in the attached graph.
Therefore, the required graph of the given inequality y > 2 is shown in the attached file.
Hence, the correct answer would be option (H).
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In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg? O A. sqrt2:1 O B. 1:1 Oc. C. 2:1 O D. 1:sqrt2
Answer:
B. 1 : 1
Step-by-step explanation:
the triangle has the same size of legs (the same angles 45°)