RSTis graphed on a coordinate plane below. The triangle undergoes two
transformations and the new vertices are R"(4,2), S"(8,2), and T"(8,-6). Determine
the transformations and the order in which they were applied.
A. 90° counter-clockwise rotation, then reflected across the y-axis
B. Reflected across the y-axis, then a 90° counter-clockwise rotation
C. 90° counter-clockwise rotation, then reflected across the x-axis
D. Reflected across the y=x, then a 90° counter-clockwise rotation
Answers
Answer:C
Step-by-step explanation:
Transformation involves changing the position of a shape
The transformations and the order in which they were applied are:
A. 90° counter-clockwise rotation, then reflected across the y-axis
From the figure, the coordinate of RST is:
[tex]R= (2,4)[/tex]
[tex]S = (2,8)[/tex]
[tex]T =(-6,8)[/tex]
Using R to illustrate the transformation.
We have
[tex]R= (2,4)[/tex]
First, R is rotated 90 degrees counterclockwise
The rule of this transformation is:
[tex](x,y) \to (-y,x)[/tex]
So, we have:
[tex](2,4) \to (-4,2)[/tex]
Next, the point is reflected across the y-axis.
The rule of this transformation is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex](-4,2) \to (4,2)[/tex]
From the question, we have the coordinate of R" to be;
[tex]R: =(4,2)[/tex] --- same as the result of the above sequence
Hence, option (A) is correct
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Related Questions
Write the following using index notation:
a)2 x 2 x 2
b)x3 x 3 x 3 x 3
c)4 x 4 x 4 x 5 x 5
d)9 x 7 x 9 x 9 x 7 x 9
Answers
Answer:
A) 2^3
B)3^4
C)4^3*5^2
D)9^4*7^2
Step-by-step explanation:
A six-sided die is rolled 2 times. What is the fractional probability of rolling a 6 the first time and an even number the second time?
Answers
The probability of getting 6 the first time and an even number the second time is 1/12.
what is probability?probability is the quantification of possibilities in numbers.
(1) probability of rolling a 6 for the first time:
total possible outcomes = (1,2,3,4,5,6) =6
sample space = 1
probability of getting 6 = sample space/total possible outcomes
probability of getting 6 = 1/6
2)probability of getting an even number
total possible outcomes will be (1,2,3,4,5,6)
sample space = (2,4,6) ie 3
probability of this = 3/6 = 0.5
total probability = 1/6*0.5 = 1/12
therefore,
The probability of getting 6 the first time and an even number the second time is 1/12.
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given the equation f(x) = -2x^2 + 4x + 6, find the average rate of change from x = 1 and x = 2
Answers
Answer:
-2
Step-by-step explanation:
Average rate of change is another term for average slope, and is found with the equation
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{2} }[/tex]
The first point is (1, 8). The second point is (2,6).
[tex]m=\frac{8-6}{1-2} \\m=-2[/tex]
I need somebody
(Help!) not just anybody help
Answers
Answer:
It is C √2/2
Step-by-step explanation:
HELP PLS ILL MARK BRAINLIEST PLEASEEEEEEEEE
Answers
WILL MARK BRAINLIEST
Answers
Answer:
b = 6
Step-by-step explanation:
a² + b² = c²
8² + b² = 10²
8² + b² - 8² = 10² - 8²
b² = 100 - 64 = 36 = 6²
b = 6
What are the values of a, b, and c in the matrix addition below?
4
1
-5
-8
0
6
-4 1
1
1
-10
2
2
13
-4
5
-1
a
7
12
+
3
3
3
15-12
3
18 b
3
-8
-9
6
-3
11
-8 C
17
a=-5
b=-9
o
C=-12
a=-14
O b= 15
C=-12
a=-14
b=-9
Answers
[tex]a = - 14 \\ c = - 12 \\ b = - 9[/tex]
The solution is, the values of a = -14, b= -9, c = -12.
What is Matrix?Rows and columns of numbers are arranged in a matrix. A rectangular matrix is a grouping of numbers into rows and columns. The matrix A, for instance, has two rows and three columns.
here, we have,
A matrix is a rectangular arrangement of a collection of numbers into a fixed number of rows and columns.
We have a matrix of order 4 x 4 where the number of rows are 4 and number of column are 4.
and, the resultant matrix is also of order 4 x 4 where the number of rows are 4 and number of column are 4.
we get,
the addition of the two given matrices is,
[tex]\left[\begin{array}{ccc}-4 &1&1\\-14&7&12\\18&-9&3\\-8&-12&17\end{array}\right][/tex]
Then, the values of a = -14, b= -9, c = -12.
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Please give me the correct answer
Answers
Answer:
[tex]x^2[/tex] = [tex]8^2[/tex] = 64
[tex]15^2[/tex] = 225
[tex]17^2[/tex] = 289
Step-by-step explanation:
Use the Pythagorean theorem to find the unknown side. The Pythagorean theorem states;
[tex]a^{2} + b^{2} = c^{2}[/tex]
Where "a" and "b" are the legs, and "c" is the hypotenuse.
It is given that;
b = 15.
c = 17
a = x
[tex]x^2[/tex] + [tex]15^2[/tex] = [tex]17^2[/tex]
[tex]x^2[/tex] + 225 = 289
[tex]x^2[/tex] = 64
x = 8
To find the area of a square, one has to raise one of the sides to the power of two.
[tex]x^2[/tex] = [tex]8^2[/tex] = 64
[tex]15^2[/tex] = 225
[tex]17^2[/tex] = 289
the polygon in each pair are similar.find the missing side length.
Answers
the answer should be 8..
Jamon can type 300 words in 8 minutes. At this rate, how many words can he type in 20 minutes?
Answers
How much times can two go into six
Answers
Answer:
3 because if you can only make two groups of three
(and how do you not know this? I really dont want to be rude)
Answer:
3
Step-by-step explanation:
What type(s) of symmetry does the figure have? (Check all that apply.)
Line Symmetry
Rotational Symmetry
None
Answers
Answer:
Rotational Symmetry
Step-by-step explanation: It stays the same when rotated
Match the story with an equation.
Elena has a 8 foot piece of ribbon. She cuts off a piece that is 1/4 of a foot long. She
then cuts the remaining piece into four pieces of equal lengths.
Answers
Answer:
P=length of each of the 4 pieces
(8' - 0.25')/4=P
Step-by-step explanation:
P=length of each of the 4 pieces
(8' - 0.25')/4=P
6/4 is the length of the each ribbon piece.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Elena has a 8 foot piece of ribbon.
Elena cuts off a piece that is 1/4 of a foot long.
The ribbon cutt off by Elena is 1/4×8=2
The remaining ribbon is given by 8-2=6
cuts the remaining piece into four pieces of equal lengths.
6/4.
Hence, 6/4 is the length of the each ribbon piece.
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what is the answer to this solution. -7r−4≥ 4r+2
Answers
Answer:
The solution is:
[tex]-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}[/tex]
Please check the attached line graph below.
Step-by-step explanation:
Given the expression
[tex]-7r-4\ge \:4r+2[/tex]
Add 4 to both sides
[tex]-7r-4+4\ge \:4r+2+4[/tex]
Simplify
[tex]-7r\ge \:4r+6[/tex]
Subtract 4r from both sides
[tex]-7r-4r\ge \:4r+6-4r[/tex]
Simplify
[tex]-11r\ge \:6[/tex]
Multiply both sides by -1 (reverses the inequality)
[tex]\left(-11r\right)\left(-1\right)\le \:6\left(-1\right)[/tex]
Simplify
[tex]11r\le \:-6[/tex]
Divide both sides by 11
[tex]\frac{11r}{11}\le \frac{-6}{11}[/tex]
Simplify
[tex]r\le \:-\frac{6}{11}[/tex]
Therefore, the solution is:
[tex]-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}[/tex]
Please check the attached line graph below.
Which expression is equivalent to (4x^4/2x^3)^3?
A) 2x
B) 8x
C) 8x^3
D) 16x^21
Answers
Answer:
None are you sure you have the right expressions.
Step-by-step explanation:
(4x^4/2x^3)^3=(2x^4*x^3)^3=(2x^7)^3=8x^21
Lela records her bank transactions in her checkbook. The table shows some of her
recent entries. Today, Lela wrote a check for $15 to her mom. How should she record
this amount in her checkbook?
Answers
Answer:
B -15
Step-by-step explanation:
Answer:
-15
Step-by-step explanation:
she has -15
Which equation represents a linear function with a slope of 12 and a y-intercept of -15? A. Y=−15x+12 B. Y=−x2+15 C. Y=x2−15 D. Y=2x−15
Answers
Answer:
y = 12x-15
Step-by-step explanation:
The equation of a line is given by :
[tex]y=mx+c[/tex]
Where
m is slope and c is y-intecept.
Here, the slope is 12 and y-intercept is -15.
Then the equation is :
y = 12x+(-15)
or
y = 12x-15
Hence, the required equation for the line is "y=12x-15".
Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3 Which method should Jeremy use?
Answers
Options :
Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.
Answer:
Determine whether the equation has the form x = a
Step-by-step explanation:
Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3
-3(x + 1) + 3x = - 3(x - 1) + 3
If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'
Expanding :
-3x - 3 + 3x = - 3x + 3 + 3
-3x + 3x -3 = - 3x + 6
-3 = - 3x + 6
-3 - 6 = - 3x
-9 = - 3x
x = 9/3
x = 3
One report said that it rained 3 inches in two days. It actually rained 1.05 inches and 1.8 inches. How far off was the report? Explain your answer.
Answers
Answer:
Step-by-step explanation:
1.80 + 1.05 = 2.85
3.00 - 2.85 = .15 inches
Drag statements and reasons to each row to show why the slope of the line between P and Q is the same as the slope between Q and R, given that triangles A and B are similar.
Answers
hi i know i’m late but to help out any future people, the answer is
Row One: Statement: 3/2=slope Reason: Definition of Slope
Row 2: Statement: 3/2=6/4 Reason: Triangle A is similar to Triangle B
Answer:
Step-by-step explanation:
What is the slope of a line perpendicular to 5y + 3x = 15
Answers
Answer:
Using the slope-intercept form, the slope is −35 . The equation of a perpendicular line to y=−3x5+3 y = - 3 x 5 + 3 must have a slope that is the negative reciprocal of the original slope.
A runner is 6/8 mile from the finish line. If she can travel 3/8 mile per minute, how long will it take her to finish the race? Answer in a complete sentence.
Answers
Answer:
it will take her 40 seconds to finish the race.
3/8 per minute, would make it 1/8 every 20 seconds. since she only has 2/8 of a mile left to go, 20 seconds +20 seconds = 40 seconds
(if you needed how long it takes her to run the whole race, it's 2 minutes 40 seconds, which would make her the fastest mile runner in the world)
Step-by-step explanation:
I hope this helps :)
Based on the given information, determine which two statements are true and which is a lie. Explain what is incorrect about the “lie.”
Answers
Answer:
The first statement is a lie, second and third statement is true.
Step-by-step explanation:
Consider the provided information.
For two similar triangles, if the scale factor is a : b, then the ratio of their perimeters will be a : b.
For two similar triangles, if the scale factor of a : b, then the ratio of their areas will be [tex]a^2 : b^2[/tex].
For two similar triangles, if the scale factor is a : b, then the ratio of their altitudes will be a : b.
It is given that the ratio of perimeters is 6:1 which is incorrect as the ratio should be 3:1.
It is given that the ratio of areas is 9:1 which is correct because [tex]3^2 : 1^2=9:1[/tex].
It is given that the ratio of the altitude is 3:1 which is correct.
Hence, the first statement is a lie, second and third statement is true.
Is this statement true or false?
p = 2 is a solution to p – 5 <20
O true
O false
Answers
Answer:
true
Step-by-step explanation:
Answer:
it is the solution
Step-by-step explanation:
because p is 2
2-5<20
-3<20 which is true
Find the total amount given the original price and tax or tip rate. Round to the nearest hundredth if necessary.
Original price: $156.67
Tax or tip rate: 6%
Answers
Answer:
Step-by-step explanation:
if we tip/tax 6% of 156.67 we will do:
156.67*(6/100)=9.40 this is the amount of tip
156.67+9.40=166.07
It is difficult to change how good I am at math even if I try hard and practice a lot.
A. strongly agree
B. agree
C. disagree
D. strongly disagree
Answers
Answer:
B
Step-by-step explanation:
A car dealership pays a wholesale price of $12,000 to purchase a vehicle.
During a special sales event, the dealership offers a 10% discount off of the retail price. After the discount, how much will a customer pay for this vehicle? Show your work.
Answers
Answer:
$10800
Step-by-step explanation:
$12000 is the original price so let's set that as 100%. Since there's a 10% discount, you have to find out the 90% soo.
100% - $12000
90% - $12000 x 90/100 = $10800
Simplify the following expression by combining like terms. Then select the
correct answer from below.
2 + 30 – 3+232 +8 - 53
Answers
Answer:
216
Step-by-step explanation:
2+30-3+232+8-53
32-3+232+8-53
29+232+8-53
261+8-53
269-53
216
What is the congruence theorem used to prove that the two triangles are congruent?
Answers
If r = 12 cm, what is the area of this sector? Express your answer to the nearest tenth of a centimeter.
Answers
Answer:
339.3 cm
Step-by-step explanation:
12 • 12 = 144
Find 144π
Find 3/4 of it
Answer:
339.3 to nearest tenth of cm^2.
Step-by-step explanation:
This is 3/4 of a circle so the area is:
3/4 * pi r^2
= 3/4 * 12^2 pi
= 108 pi
= 339.292