A rotation of 90° about the origin includes the interchange of the position of x, and y in the ordered pair and a change of one of the signs of the pair.
The option that shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin is the option;
On a coordinate plane, a triangle has points X(2, 2), Y(6, 0), and Z(1, -1).Reasons:
The given transformation the gives the X'Y'Z' = 90° rotation about the origin
The given coordinates of X'Y'Z' are;
X'(-2, 2), Y'(0, 6), and Z'(1, 1)
Required:
The figure that shows the preimage of X'Y'Z'
Solution:
Given that X'Y'Z' is obtained by the rotation of XYZ 90°, therefore, the
coordinates of XYZ are given by the rotation of X'Y'Z' in the reverse
direction either counterclockwise and clockwise.
(x, y) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] (-y, x)
(x, y) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex] (y, -x)
Therefore, we have;
X'(-2, 2) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] X(-2, -2)
Y'(0, 6) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] Y(-6, 0)
Z'(1, 1) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] Z(-1, 1)
Similarly, we get;
X'(-2, 2) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex] X(2, 2)
Y'(0, 6) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex] Y(6, 0)
Z'(1, 1) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex] Z(1, -1)
The above coordinates of XYZ; X(2, 2), Y(6, 0), and Z(1, -1), corresponds to
the option;
On a coordinate plane, a triangle has points X(2, 2), Y(6, 0), and Z(1, -1).
Therefore, XYZ was rotated 90° clockwise to form X'Y'Z'
Learn more about rotation transformation here:
https://brainly.com/question/4738741
Answer: the first box is 90 degrees and the second box is 2 :D
Step-by-step explanation: ed 2020
hope you have a goody day / night ^^
what is the distance between the pair of points.
(3, 3) and (3, −5)
Answer: 8
Step-by-step explanation:
So the right answer is 8units
Look at the attached picture
hope it will help you...
Good luck on your assignment
HELP QUICK!! 25 POINTS AND BRAINLIEST!!
What is the area of the shaded sector of the circle?
a. 20
b. 25
c. 100
d. 72
Answer:
i think its 25 because like if 72 is the shaded part then it can't be the answer 100 wouldn't be the answer because it is too high and 20 wouldn't be the answer because it is too low so 25 is my reasonable answer.
Step-by-step explanation:
Since the area to me is 25 then we would do 360 x 25 = 9000
the you do 9000 / 36 i got 36 by doing 360 / 10
After that you you do 9000 / 36 which gives you 2.5
Last i did 2.5 x 10 which gave me 25
Hope this helpsBrainliest plzhope you get this right
Help! I don't know how to do this! I will mark Brainliest!
Answer:
- 3y² - 7y + 6
Step-by-step explanation:
Given
(- 3y + 2)(y + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
- 3y (y + 3) + 2(y + 3) ← distribute both parenthesis
= - 3y² - 9y + 2y + 6 ← collect like terms
= - 3y² - 7y + 6
Answer:
is it A?
Step-by-step explanation:
i choose that because its the only one with -3y² which is correct
Which value is equivalent to 15 − 4 × 2? A) 2 B) 7 C) 9 D) 23
Answer
D because i had it before
Answer:
B
Step-by-step explanation:
You need to do 4*2 which is 8. Then you need to subtract 15-8 to get 7.
Hope this helps.
Solve for y: 12x + 4y = 24
Plz help
A) y=4
B) y=-3x+6
C) y=-1/2x+4
D) y=2x+4
Answer: b
Step-by-step explanation:
What represents the product of x AND y + 4?
xy+4x
xy+4
x+y+4
x+4y
Answer: A. xy + 4x
Step-by-step explanation:
(x)(y + 4)
distribute the x to both terms
xy + 4x
hope this helps! :)
Answer:
A. xy + 4x
Step-by-step explanation:
(x)(y + 4)
distribute the x to both terms
xy + 4x
On a coordinate plane, triangle A B C has points (negative 3, negative 1), (negative 2, negative 3), (1, negative 1) and is reflected across y = 1. Reflect the figure over the line y = 1. Which is point A’ after the reflection? A’(–3, 1) A’(–3, 3) A’(–3, 2) A’(1, 1)
Answer:
A' = (-3, 3)
Step-by-step explanation:
If the points are as follows:
A = (-3, -1)
B = (-2, -3)
C = (1, -1)
When reflecting across a y axis the x values remain the same.
When reflecting across y = 1 the y values will remain equal distant from y = 1.
A' = (-3, 3) y value = |-1 - 1| = 2 + 1 = 3
B' = (-2, 5) y value = |-3 - 1| = 4 + 1 = 5
C' = (1, 3) y value = |-1 - 1| = 2 + 1 = 3
Answer:
A' = (-3, 3)
Step-by-step explanation:
What are the rules of simplifying exponents?
Answer:
To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b.
Step-by-step explanation:
how many lines of symmetry does the quadrilateral below have.
A. 0
B. 1
C. 2
Which of the following are magnitudes for rotational symmetry of the quadrilateral below about the marked point.
A.30
B.90
C.180
D.None of the above
Answer:
C; A
Step-by-step explanation:
(coming from an 8th grader :)
1. should be A, because on each side of the quadrilateral there are two lines being mirrored.
2. should be C, because the angles are acute and not right or straight. you may be thinking “but there is a straight line” yes, you are right there’s a straight line, but there’s multiple angles consisted in making one whole angle.
anyone ? please help out
Answer:
1:>
2:>
3:>
Step-by-step explanation:
Answer:
-5 > -12 -5 is greater than -12 because -5 is closer to positive numbers (0) then -12 is.
-6 > -8 -6 is greater than -8 because -6 is closer to positive numbers (0) then -8 is.
6 > -11 6 is greater than -11 because 6 is a positive number and -11 is a negative number.
Dont forget to mark brainliest please!
Please help with this
Answer:
B
Step-by-step explanation:
I used the quadratic formula
Answer:
B
Step-by-step explanation:
Given
(x + 5)² = 48 ( take the square root of both sides )
x + 5 = ± [tex]\sqrt{48}[/tex] = ± [tex]\sqrt{16(3)}[/tex] = ± 4[tex]\sqrt{3}[/tex] ( subtract 5 from both sides )
x = - 5 ± 4[tex]\sqrt{3}[/tex] → B
Pls help 100 points
Consider this dilation.
(a)
Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b)
What is the scale factor? Explain.
The letters M,S,V are the original image.
The letters M’, S’, V’ are the displayed image.
You can see that M’, S’,V’ is a smaller image, so it was a reduction.
The length of line MS is 9 units.
The length of M’S’ is 6 units.
The dialation is 6/9 = 2/3
Answer:
(a) reduction
(b) 2/3
Step-by-step explanation:
(a) The original figure is called ΔMSV, while the dilation is called ΔM'S'V'. Because we can see that M'S'V' is clearly much smaller than MSV, we know that the image is a reduction of the original.
(b) We simply need to find the ratio of one side of M'S'V' to one side of MSV. Look at M'S': the length is just 4 - (-2) = 6 (this is because it's a completely horizontal line). The length of MS is 6 - (-3) = 9.
So, the scale factor is: 6 / 9 = 2/3.
Four less than 3 times a number is the same as the number plus 10 - in an equation
Answer:
4-3x=x+10
Step-by-step explanation:
4- (four less)
3x (3 times a number)
= (is the same as)
x (the number)
+10 (plus ten)
Please rate, thanks, mark brainliest if this helps!
Find the measure of arc BGF
180°
Step-by-step explanation:
measure of half a circle arc is 180
From B to F is 180 degrees because BF is a diameter.
Answer: 180 degrees
need help
ASAP will give 20 points!
Answer:
141
Step-by-step explanation:
24 (triangle) + 117 (trapezoid)
Answer:
141
Step-by-step explanation:
Trapezium + triangle
[½ × (16+10) × 9] + [½ × 6 × 8]
117 + 24
141 in²
Question 1
(01.01 LC)
Which of the following is a rational number? (1 point)
square root of 48, square root of 49, square root of 50, square root of 51
Group of answer choices
square root of 48
square root of 49
square root of 50
square root of 51
Answer:
49
Step-by-step explanation:
7 is rational and it's the square root of 49.
Answer:
[p
Step-by-step explanation:
Question 10(Multiple Choice Worth 5 points)
(01.01 LC)
Which of the following is a rational number?
square root of 15, square root of 16 square root of 17, square root of 18
square root of 15
square root of 16
square root of 17
square root of 18
just some math :> and meh needs halp
Answer:16
Step-by-step explanation:
5 times 2 is 10. 10 times 0 is 0. 1 times 6 is six
PLS HELP NEED TO PASS TEST <3!!!!
find the surface area of the cylinder to the nearest whole number. the figure is not drawn to scale.
905 in^2
1,282 in^2
2,187 in^2
7,691 in^2
Answer:
[tex]A=2\pi rh+2\pi r^2=2*\pi *12*17+2*\pi *12^2= 2187in^2[/tex]
Step-by-step explanation:
Answer:
2,187 in^2
Step-by-step explanation:
A=2πrh+2πr^2
=2·π·12·17+2·π·12^2
≈2186.54849
Can someone help me and show how to write the perimeter equation to find x.
50 points. Answer part b. for full 70 points
Answer:
a) 10x + 8 = 21
b) x = 1.3
Step-by-step explanation:
The line of symmetry is a vertical line that passes through point C.
That makes sides BC and CD congruent, and sides AB and ED congruent.
perimeter = AB + BC + CD + DE + EA
perimeter = 2x + 3 + x + 1 + x + 1 + 2x + 3 + 4x = 10x + 8
perimeter = 21
a) Equation:
10x + 8 = 21
b)
10x + 8 = 21
10x = 13
x = 1.3
you can choose more than 1
Answer:
A
Step-by-step explanation:
If you were to multiply the top by 7 then add you would cancel out the x and if you were to multiply the bottom by 6 then when you use the subtraction method you multiply the top by negative and if that were to happen you would do -6x + -6x which would cancel nothing out. But if you just add the two equations nothing would cancel out.
Hope this helped!
Answer:
A
Step-by-step explanation:
If you multiply the top by 7, when you add you can cancel out -7x and 7x. The second one doesn't work because it said subtract at the end. If you subtract then it won't cancel out the y's.
which statement best describes the possible value of the median time of students riding the bus to school?
Answer:
Step-by-step explanation:
The answer would be A. 1 1/5
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
Answer:
its a on edge 2021
Step-by-step explanation:
A line passes through the point (1,-3) and has a slope of -7. Find the equation of the line.
Answer:
y = -7x+4
Step-by-step explanation:
We can use the slope intercept form of the equation
y = mx+b where m is the slope and b is the y intercept
We know the slope
y = -7x+b
We have a point to substitute in for x and y
-3 = -7(1) +b
-3 = -7+b
Add 7 to each side
-3+7 =b
4 =b
We can substitute this back into
y = -7x+b
y = -7x+4
Answer:
y+-7x+4
Step-by-step explanation:
y-y1=m(x-x1)
y+3=-7(x-1)
y+3=-7x+7
y=-7x+4
Math question down below
Answer:
answer is E
Step-by-step explanation:
Answer:
Another way to show [tex]\frac{9}{2}[/tex] is (E. 9 ÷ 2)
Step-by-step explanation:
A. 2 x [tex]\frac{1}{9}[/tex] = [tex]\frac{2}{9}[/tex] (incorrect)
B. 2 x [tex]\frac{9}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9 (incorrect)
C. 2 ÷ 9 = 0.22 (incorrect)
D. 9 ÷ [tex]\frac{1}{2}[/tex] = 18 (incorrect)
E. 9 ÷ 2 = 4.5 (correct)
what is the probability of spinning different numbers when the spinner below is spun twice
Answer:
25%
Step-by-step explanation:
Which statements about functions g(x) = x2 − 4x + 3 and f(x) = x2 − 4x are true? Select all that apply
A)The vertex of the graph of function g is above the vertex of the graph of function f.
B)The graphs have the same axis of symmetry.
C)Function f has a maximum value and function g has a minimum value.
Answer:
It is C i just had that question
Step-by-step explanation:
Answer:
just c i had that question too
Step-by-step explanation:
What is the simplest form of this expression y2 (3y + 4) + 5y3
Answer:
y2 (3y + 4) + 5y3 :))
Step-by-step explanation:
please give me a good rating lol
Answer:
y2(3y+4)=5y3
Step-by-step explanation:
Find the missing values (4,16) and (x,24)
Answer:
(6, 24)
Step-by-step explanation:
The amount Amanda earns babysitting in a month is represented by the equation a=9.5h. In the equation, a
represents the total amount Amanda earns. The number of hours she babysits is represented by h. What is the
constant of proportionality (unit rate) of a to h?
Answer:
9.5
Step-by-step explanation:
Well the constant proportionality is 9.5 because that is what makes p directly proportional to a, because when h increases, a increases, and when h decreases, a decreases.
What is the area of the shaded region to the nearest tenth of a foot?
PLEASE HELP!!!
I don't understand....
If possible, please explain!
Answer:
A. HL
Step-by-step explanation:
It cant be B because you cant do SSA
Its not C. Because there is only 1 angle
and it cant be D because the angles dont line up.
So is A. HL
