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 ^^
The volume of the shipping box needs to be 1,144 cubic inches. The equation that models the volume of the shipping box is 8(n + 2)(n + 4) = 1,144.
Answer the following questions about the equation modeling the volume of the shipping box.
Question 1
Solve the equation that models the volume of the shipping box, 8(n + 2)(n + 4) = 1,144. If you get two solutions, are they both reasonable?
Answer:
see below
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
FOIL
8(n^2 +2n+4n+8) = 1144
Divide each side by 8
8/8(n^2 +2n+4n+8) = 1144/8
(n^2 +2n+4n+8) = 143
Combine like terms
n^2 +6n+8 = 143
Subtract 143 from each side
n^2 +6n+8 -143= 0
Combine like terms
n^2 +6n -135 =0
Factor
What two terms multiply to -135 and add to 6
-9*15 =-135
-9+15 = 6
(n-9) (n+15) =0
Using the zero product property
n-9 =0 n+15=0
n = 9 n=-15
The length cannot be negative so n = -15 cannot be a solution
n =9
Answer:
n = 9
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
(n + 2)(n + 4) = 143
n² + 2n + 4n + 8 = 143
n² + 6n - 135 = 0
n² + 15n - 9n - 135 = 0
n(n + 15) - 9(n + 15) = 0
(n - 9)(n + 15) = 0
n = 9, -15
since n is a length, it can not be negative
Therefore the only solution is n = 9
What is this poem about? Please help :)
4,5,6,8,14,38,....... what is the next number of this sequence?
From 4 to 5, we add [tex]0!=1.[/tex] From 5 to 6, we add [tex]1!=1.[/tex] 6 to 8, we add [tex]2!=2.[/tex] 8 to 14, we add [tex]3!=6.[/tex] 14 to 38, we add [tex]4!=24.[/tex] Thus, the next term of the sequence is [tex]38+5!=38+120=\boxed{158}.[/tex]
The next term of the sequence 4,5,6,8,14,38 is 158.
What is a sequence?It is a type of series which follows a certain pattern. It can be a pattern of addition, subtraction, multiplication and division.
How to form a sequence?We have been given the following sequence:
4,5,6,8,14,38,..... and we have to find the next term of the sequence.
We can observe that from 4 to 5 we add 0!=1
From 5 to 6 we add 1!=1
From 6 to 8 we add 2!=2
From 8 to 14 we add 3!=6
From 14 to 38 we add 4!=24.
So in next term we have to add 5!=120
Hence the next term will be=38+120=158.
Learn more about sequence at https://brainly.com/question/6561461
#SPJ2
6 customers entered a store over the course of 18 minutes. At what rate were the customers entering the store in customers per minute?
Answer:
3 minutes
Step-by-step explanation:
18 divided by 6 = 3 minutes
Hope this helps :)
I will give brainliest to any correct answer. Question is the image attached, please answer asap.
i would say C. because since its 4 times the radius then you factor in thats only half of the circle then you factor in the other side which makes it 8 hope this is true
Simplify. (-3ab3)4
a.) -12a 4b 7
b.) -7ab 12
c.) -81a 4b 7
d.) 81a 4b 12
Answer:
d. 81a 4b 12
Step-by-step explanation:
Answer:
d. 81a 4b 12
What is the domain? Please hurry
The domain is the input (x) value. Since the equation is not provided with any input limit the answer is negative infinity to infinity.
The answer is the last choice.
What is the area of a rectangle with length 6 units and width 3 units?
9 units 2
18 units
24 units
32 units2
Answer:
18 units. Just multiply them.
Answer:
18
Step-by-step explanation:
6 x 3 = 18
Which number is irrational? a)9.2727… b)√2 c) 5 x √9 d) -37/71
Answer:
The answer is B.
Step-by-step explanation:
Irrational number is a number that cannot be written in a fraction-form.
In the option above,
Option A,
[tex]9.2727 = \frac{92727}{10000} [/tex]
Option B,
[tex] \sqrt{2} = \sqrt{2} [/tex]
Option C,
[tex]5x \sqrt{9} \\ = 5x \times 3 \\ = 15x \\ = \frac{15x}{1} [/tex]
Option D,
[tex] - \frac{37}{71} = - \frac{37}{71} [/tex]
Which best describes the scale factor for each dilation?
Answer: 1= between 0 and 1. 2= greater than 1. 3= equal to 1
Step-by-step explanation: I just did the warm up
Answer:
Dilation 1 has a scale factor
✔ between 0 and 1
.
Dilation 2 has a scale factor
✔ greater than 1
.
Dilation 3 has a scale factor
✔ equal to 1
.
Step-by-step explanation:
what is the negative square root of 3/2
-3/2
there is no negative square root of 3/2
there is no square root of -n
if n is negative, there is no square root
Answer:
There is no square root of n , if n is negative
Answer:
(D) square root 3/ 3
Step-by-step explanation:
took the assignment test
PLEASE HELP!
The dot plot below shows the hourly rate of some babysitters in a city
Which statement best describes the shape of the data?
It is symmetric and has no gaps.
It is not symmetric and has a peak at $7.00
It is a cluster from $1.00 to $7.00 and has no gaps.
It is a cluster from $1.00 to $7.00 and has a peak at $6.00
NO GUESSING PLEASE AND THANK YOU :)
Solve for 2. Write the smaller solution first, and the larger solution s
4x2 + 40 + 84 = 0
smaller x =
larger x =
Answer:
4(x^2 +10 +21)
4(x+3)(x+7) = 0
Smaller
4(x+7) = 0
4x +28 = 0
4x = -28
x = -28/4
x = -7
Larger
4(x+3) = 0
4x + 12 = 0
4x =-12
x = -12 / 4
x = -3
Step-by-step explanation:
Identify the expression as a perfect square trinomial, a difference of squares, or neither. Factor the expression.
4p2 + 32p + 64 The expression is________?
A. neither
B. a difference of square
C. a perfect squares trinomial
The factored expression is______?
Answer:
C, factored is either 4(p + 4)^2 or (2p + 8)^2
Step-by-step explanation:
4(p^2 + 8p + 16)
4(p + 4)(p + 4)
4(p + 4)^2
OR
(4p^2 + 32p + 64)
(2p + 8)(2p + 8)
(2p + 8)^2
Please help me find MAD for this
Answer:
I know I'm 10 days late on this, but the answer is 1.5
Step-by-step explanation:
1. Add 3+7+4+2:
[tex]3+7+4+2=16[/tex]
2. Divide it by 4 because we have 4 numbers being added:
[tex]\frac{16}{4} =4[/tex]
3. Subtract 4 from all numbers:
[tex]4-3=1, 7-4=3, 4-4=0,4-2=2[/tex]
4. Add the differences:
[tex]1+3+0+2=6[/tex]
5. Divide again by 4:
[tex]\frac{6}{4} =1.5[/tex]
A rectangle is 36 inches x 48 inches.
Pin.
What is its perimeter?
What is its area?
Answer:
Area is: 1,728 inches
Perimeter is: 168 inches
Step-by-step explanation:
Area= Length times width
Perimeter= length plus length plus width plus width.
Answer:
1.728 is the perimeter. the area is 84.
Step-by-step explanation:
all you do multiply for perimeter and add for area.
Evaluate loook at the pic
Answer:
17
Step-by-step explanation:
So the 3 to the power 2 is 9, so 9x2 is 18 so then minus the 1 and it’s 17.
J’ai besoin d’aide pour cette question.
Je vais mettre branliest.
7. Complète le tableau suivant.
A) Un politicien répond à 20 questions en 15 minutes. Il faut le mettre en table de valeurs et en graphique.
Answer:
tracer des points à (0,0) et (3,4) et connecter des lignes pour créer un graphique
Step-by-step explanation:
J'utilise google translate pour vous aider, IDK
The equation below describes a parabola. If ais negative, which way does the
parabola open?
Answer:
Downwards
Step-by-step explanation:
Suppose you have the quadratic equation, [tex]ax^2 +bx+c[/tex], if a is positive, the parabola opens upwards. If a is negative, the parabola opens downwards.
How would you answer these questions
This net consists of a square and 4 identical triangles. What is the surface area of the solid this net can form?
144 square inches
184 square inches
224 square inches
264 square inches
Answer: 224
Step-by-step explanation:
I did the calculations don’t worry
Answer:
the person above me is correct
Step-by-step explanation:
A stick 1 meter long casts a shadow 1.5 meters long. A building casts a shadow 17 meters long. How tall is the building (to 2 decimal places)
The size ofa rectangular computer monitor is determined by the length of its diagonal. If a
computer monitor has a length of 24 inches and a height of 18 inches, what is the length of
its diagonal to the nearest inch?
42 inches
15 inches
21 inches
30 inches
Answer
15
Step-by-step explanation:
helppppppppppppppppp
Answer:
I would say B. y = 4x + 3
Step-by-step explanation:
Because that equation is positive and going up while the other ones would be going down. i.e. positive go up while negatives go down. So your correct answer is B. y = 4x + 3
Hope this Helps. :)
Answer:
Easy.Y=4x+3
Step-by-step explanation:
Look at the point that touches the y-axis.You see it is 3.Now look at the direction the line goes,this one is going upward to the right which means it has to be a POSITIVE slope.When you can't see the point at the top,you can look downward for another point in the graph.Which in this case that other point we see is (-1,-1).Now remember,rise/run.To reach the point of the y-axis you have to go up 4 times and go right once.Which in fraction form would be 4/1 but that equals the same as just 4x.So yeah,there ya go cutie:)
Find the missing length.
Answer:
15
Step-by-step explanation:
10 divided by 2 is 5. 6 divided by 2 is 3. 5 times 5 is 25 and 3 times 5 is 15
Answer:
15
Step-by-step explanation:
.....................................................
What is the unit rate of 405 miles in 8 hours?
Answer:
50.625 miles per hour (mph)
Step-by-step explanation:
Step 1: Divide
405/8
= 50.625
mark as brainliest please, I need a few more :)
Why do you need to simplify exponents?
Answer:
we need a different way to express the value of something
Step-by-step exp
Determine whether 90.5m .92m is equivalent to each of the following expressions.
Equivalent
Not equivalent
ვნm
81m
92.5m
Answer:i think it is 92.5
DO, 2 of X = (2, -2) (4, 0) (8, 0)
Answer:
(-2, -2)
Step-by-step explanation:
Please help asap, will mark brainliest
Answer:
1a) Blue: 16x+5
Pink: 4x+5
b) 12x
c) Blue: 53
Pink: 17
2. a) Eden
b) Emma: wrote 36 instead of 6 as the base
Erin: multipled the powers instead of adding
Step-by-step explanation:
a) Perimeter of:
Blue
(4x + 2) + (5x - 4) + (7x + 7)
16x + 5
Pink
(x + 7) + (x + 3) + (2x - 5)
4x + 5
Difference:
(16x + 5) - (4x + 5)
16x + 5 - 4x - 5
12x
x = 3
Blue: 16(3) + 5 = 53
Pink: 4(3) + 5 = 17
Q2. 6² × 6⁵ = 6⁷
When numbers with the same base are multiplied, the powers add up
Only Eden did it correctly
Emma: wrote 36 instead of 6 as the base
Erin: multipled the powers instead of adding
