The vertices of the image of GHJK after a translation are given. Choose the vector that describes the translation.
Answers
Answer:
Option B
Step-by-step explanation:
Let's take a vertex G of quadrilateral GHJK to understand the rule for the translation,
From the graph attached,
Coordinates of G → (-5, 5)
Coordinates of the image point G' after the translation → G'(-5, 5)
Let the point G is translated 'a' units to the right and 'b' units down,
Rule for this translation,
G(x, y) → G'(x + a, y - a)
By this rule,
G(-5, 5) → G'(-5 + a, 5 - a)
-5 + a = -5 ⇒ a = 0
5 - a = 5 ⇒ a = 0
Therefore, vector that defines the translation will be,
<0, 0>
Option B is the the correct option.
The vector that describes the translation of the image is: b. (0, 0).
Recall the rules of translation:
The image attached below shows how an image is translated using a rule.In the image, since we are down to the right, the rule for the translation is given as: [tex](x + x_1, y - y_1)[/tex], where [tex]a[/tex] = units moved to the right, and [tex]b =[/tex] units moved downwards.Thus, from the image given to us showing the image of GHJK, using one of the vertex J' (-3, 3) and the translation rule, [tex](x + a, y - b)[/tex], the vector describing the translation can be determined as follows:
The coordinates of vertex J = (-3, 3)
[tex]x = -3 \\\\ y = 3[/tex]
Substitute[tex]J(-3, 3) = (-3 + a, 3 - b)\\\\-3 = -3 + a\\\\-3 + 3 = a\\\\\mathbf{0 = a} \\\\\\3 = 3 + b\\\\3 - 3 = b\\\\\mathbf{0 = b} \\\\[/tex]
Therefore, the vector that describes the translation of the image is: b. (0, 0).
Learn more here:
https://brainly.com/question/3222741
Related Questions
The questions above.
Answers
Answer:
k(3) = 37
Step-by-step explanation:
k(t) = 13t - 2
To find k(3), substitute 3 for t in the expression and evaluate the expression.
k(3) = 13(3) - 2
k(3) = 39 - 2
k(3) = 37
13(3) - 2
39-2
37
=
systèmes d'équations suivants. Trouve ensuite sa solution
b) { y = -x + 1
y = -2x - 2
Answers
Answer:
Solving the equations we get: x = -3, y = 4
The solution set is: (-3,4)
Step-by-step explanation:
We need to solve the system of equation and find value of x and y
The system of equation given is:
[tex]y = -x + 1\\y = -2x - 2[/tex]
Let:
[tex]y = -x + 1--eq(1)\\y = -2x - 2--eq(2)[/tex]
We would use substitution method.
Put value of y from eq(1) into eq(2) and find value of x
[tex]Eq(2)\;is:\\y=-2x-2\\Put\:y=-x+1\\-x+1=-2x-2\\-x+2x=-2-1\\x=-3[/tex]
So, we get x = -3
Now, for finding value of y, put value of x = -3 into equation 1
[tex]y=-x+1\\Put\:x=-3\\y=-(-3)+1\\y=3+1\\y=4[/tex]
So, we get y=4
Solving the equations we get: x = -3, y = 4
The solution set is: (-3,4)
In A ABC, AB = 51 cm, BC = 52 cm and CA = 101 cm, then find the area of A ABC,
Answers
Step-by-step explanation:
sorry..by any chance if my answer is incorrect
-2⁄3 a − 6 = 12
What does (A) equal?
Answers
Answer:
a = -27
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-2/3a - 6 = 12
Step 2: Solve for a
Add 6 to both sides: -2/3a = 18Divide -2/3 on both sides: a = -27Answer: a = -27
Step-by-step explanation:
-2/3a - 6 = 12
ADD 6 TO BOTH SIDES
-2/3a = 18
MULTIPLY BY 3 TO BOTH SIDES
-2a = 54
now you want to get the a by itself so DIVIDE BY -2
so... a=-27
(1.2: Solving linear equations) Consider the linear system2x1+ 3x2−5x3=b17x1+ 2x2+ 8x3=b2−x1+x2−5x3=b3(a) Find the echelon form of the augmented matrix of the above system.(b) Find the conditions onb1,b2,b3for which this system has a solution.(c) Do you see the shape of the points (b1,b2,b3) for which the above system has asolution?(d) If you randomly pick
Answers
Answer:
Echelon form of augmented matrix [tex]\left[\begin{matrix} 2&3&-5&b_1\\0&\frac{47}{2} &\frac{101}{2} &b_2-\frac{17}{2}b_1 \\0&0&\frac{-10}{3} &b_3-2\frac{b_1}{6} \end{matrix}\right][/tex]
Step-by-step explanation:
We have, linear systems
[tex]2x_1+3x_2-5x_3=b_1[/tex]
[tex]17x_1+2x_2+8x_3=b_2[/tex]
[tex]-x_1+x_2-5x_3=b_3[/tex]
[tex](a)[/tex] Find the echelon form of the augmented matrix.
Firstly we find the augmented matrix (A) of the given linear system
[tex]A=\left[\begin{matrix} 2&3&-5&b_1\\17&2&8&b_2\\-1&1&-5&b_3\end{matrix}\right][/tex]
Now find the echelon form
[tex]=\left[\begin{matrix} 2&3&-5&b_1\\0&\frac{47}{2} &\frac{101}{2} &b_2-\frac{17}{2}b_1 \\0&\frac{5}{2} &\frac{-15}{2} &b_3+\frac{b_1}{2} \end{matrix}\right]^{R_2\rightarrow \frac{17}{2}R_1, R_3\rightarrow R_3+\frac{1}{2}R_1 }[/tex]
[tex]=\left[\begin{matrix} 2&3&-5&b_1\\0&\frac{47}{2} &\frac{101}{2} &b_2-\frac{17}{2}b_1 \\0&0&\frac{-10}{3} &b_3-2\frac{b_1}{6} \end{matrix}\right]^{R_2\rightarrow R_3-\frac{5}{6}R_1 }[/tex]
[tex](b)[/tex] From above echelon form of augmented matrix system is consistent .
So, system has always a solution exist for every condition of [tex]b_1,b_2, b_3[/tex]
[tex](c)[/tex] Yes, If we take point [tex](0,1,1)[/tex] then system of linear equation has exist a solution.
[tex](d)[/tex] yes, if pick randomly [tex]b_1,b_2, b_3[/tex] then always exist a solution of given system of linear equation.
I need help on the attached problem ASAP!
Answers
Answer:
[tex]\displaystyle \sin A=\frac{1}{3}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of the triangle is called the hypotenuse and the other two sides are called the legs.
We are given a triangle with side lengths of 3, [tex]\sqrt{72}[/tex], and 9, where 9 is the hypotenuse. Before applying the trigonometric ratios, we must check if the triangle is right, and the Pythagora's theorem is satisfied:
[tex]9^2=3^2+(\sqrt{72})^2[/tex]
81=9+72=81
Now we're sure it's a right triangle, we apply the sine formula:
[tex]\displaystyle \sin A=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
The opposite leg to A is 3, and the hypotenuse is 9, then:
[tex]\displaystyle \sin A=\frac{3}{9}[/tex]
Simplifying:
[tex]\boxed{\displaystyle \sin A=\frac{1}{3}}[/tex]
Help please! What are the matches?
Answers
Answer:
2y-6=x goes with 3rd one which is y=2x+6,
Answer:
1 >>4
2>>1
3>>3
4>>2
Step-by-step explanation:
1 - 2y-6 =x then y=(1/2)x +3
2 - 3y = -6 -x then y = (1/3)x + 2
3 = (1/2)y = 3 +x then y = 2x + 6
4 - 2x + y = 3 then y = -2x + 3
Jennifer has watched 42 minutes of a movie, which is 20% of the movie. What is the total length in minutes of the movie?
Answers
Answer:
210
Step-by-step explanation:
20% is equal to 1/5
5*42 = 210
The movie is 210 minutes.
Answer: 210
5 x 42 = 210
What is the missing number in the series?
1, 16, 81, __, 625, 1296
Answers
Answer:
256
Step-by-step explanation:
We are given the series
1, 16, 81, __, 625, 1296
The missing number in the sequence is the fourth term
From the above sequence, we know that
1, 4², 9² , __, 25² , 36²
Difference between first term = 4 - 1 = 3
9 - 4 = 5
x - 9 = 7
x = 9 + 7 = 16
Hence, the fourth term = 16²
= 256
I need help converting 3/5 into a decimal
Answers
Answer:
3.5
Step-by-step explanation:
3/5 in a decimal is 3.5
WHAT’S 6 divided by 1 over 3?
Answers
Answer:
18
Step-by-step explanation:
6 divided by 1/3 is the same as 6x3 because you flip the second fraction when dividing fractions.
If job growth in your state is projected to be 2 percent and you have 11,000,000 workers, how many new jobs will be created?
Answers
Answer:
5500000
Step-by-step explanation:
I just divided-
how do I I find people that need help and so then I can answer them
Answers
Answer:
you make a account then go down and look for somthing you want ro answer
Step-by-step explanation:
hope this helps
9
8
a
+
4
8
a
−
5
8
8
9
a+
8
4
a−
8
5
A
138a−58
8
13
a−
8
5
B
58a−58
8
5
a−
8
5
C
811a+14
11
8
a+
4
1
D
78a+85
8
7
a+
5
8
Answers
What are the potential solutions of In(x^2 - 25) = 0?
Answers
Answer:
-3 on edg
Step-by-step explanation:
[tex]\boxed{\boxed{\pink{\bf \leadsto The \ Solution \ of \ the \ given \ equation \ is\ \sqrt{26}\ or \ -\sqrt{26}}}}[/tex]
Step-by-step explanation:We need to find the solution of the given logarithmic equation. So the given equation is ,
[tex]\bf \implies ln ( x^2-25) = 0 [/tex]
Using the Properties of log we can write this as ,
[tex]\bf \implies e^{ln(x^2-25)} = e^0 \:\:\bigg\lgroup \red{\bf Here \ e \ is \ Euler's \ Number }\bigg\rgroup \\\\\bf\implies x^2-25 = e^0 \\\\\bf\implies x^2-25 = 1 \\\\\bf\implies x^2=25+1\\\\\bf\implies x^2=26 \\\\\bf\implies x = \sqrt{26} \\\\\bf\implies\boxed{\red{\bf x = \sqrt{26},-\sqrt{26}}}[/tex]
Hence the Solution of the given equation is √26 or -√26.If m< XYZ= 136, solve for x
Answers
Answer:
x = 3
Step-by-step explanation:
We'd apply some properties of rhombus.
m<RZT = (10x - 8)°
m<ZRY = 90° (diagonals bisect at 90°)
m<ZYR = ½(m<XYZ) = ½(136) = 68°
m<RZT + m<ZRY + m<ZYR = 180° (sum of ∆)
(10x - 8) + 90 + 68 = 180
Solve for x
10x - 8 + 90 + 68 = 180
10x + 150 = 180
10x = 180 - 150 (subtraction property of equality)
10x = 30
Divide both sides by 10
x = 3
The value of x is 3
The calculation is as follows:m<RZT = (10x - 8)°
m<ZRY = 90° (diagonals bisect at 90°)
m<ZYR = ½(m<XYZ) = ½(136) = 68°
Now
m<RZT + m<ZRY + m<ZYR = 180° (sum of ∆)
(10x - 8) + 90 + 68 = 180
10x + 150 = 180
10x = 30
x = 3
Learn more: https://brainly.com/question/18269454?referrer=searchResults
fine the lower and upper quartiles and interquetile range.
5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71.
Answers
Answer:
Lower Quartile = 25.5
Upper Quartile = 61.5
IQR = 36
Step-by-step explanation:
Given data is:
5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71
The lower quartile is the first quartile and upper quartile is the third quartile.
A median divides the data set in two equal halves.
Lower quartile also known as first quartile is the middle value in the first half.
The first half is:
5, 12, 17, 23, 28, 31, 37, 41
As the number of values is even, the quartile will be the average of two middle values
[tex]Q_1 = \frac{23+28}{2} =\frac{51}{2}= 25.5[/tex]
Upper quartile is the average of middle two values in the second half when the number of values is even.
42, 49, 54, 58, 65, 68, 73, 71
[tex]Q_3 = \frac{58+65}{2} = \frac{123}{2} = 61.5[/tex]
Interquartile range is the difference of third quartile and first quartile
[tex]IQR = Q_3 - Q_1 = 61.5-25.5=36[/tex]
Hence,
Lower Quartile = 25.5
Upper Quartile = 61.5
IQR = 36
Ayden’s school took a field trip. A total of 32 vehicles were needed for the trip. Some students took the bus, and some students car-pooled. There were 27 people on each bus and 3 people in each car. 408 people altogether attended the trip. How many buses and cars were needed for the trip?
Answers
Step-by-step explanation:
Let x be the number of buses for the trip.
Then (32 - x) is the number of cars for the trip.
We have 27x + 3(32 - x) = 408.
=> 27x + 96 - 3x = 408
=> 24x = 312
=> x = 13
Hence there are 13 buses and (32 - 13) = 19 cars.
Kylie is birdwatching and has seen 9 thrushes so far, as well as 24 other birds. Considering this data, how many of the next 88 birds to be spotted should you expect to be thrushes? thrushes
Answers
Answer:
33
Step-by-step explanation:
9 out of 24
x out of 88
so by interpolation it's gonna be 33.
help pls! what’s the coordinates?
Answers
Answer:
It's (4,5)
Step-by-step explanation:
Hope it helps. Bye
PLZ PLZ PLZ HELP! What is the 50th term in the arithmetic sequence -6,-1,4...?
Answers
How many eighths are there in 2?
Answers
Answer:
16
Step-by-step explanation:
eighths are 1/8 therefore there are 8 eighths in one,
1 x 2 is 2
8 x 2 is 16
therefore there are 16 eighths in 2
Answer:
Step-by-step explanation:
1 pizza has 8 slices
2 pizzas has 16 slices
i think it is easier to remember like this
Tell whether each relationship is a function.
PLEASE I NEED THIS ANSWER RIGHT NOW PLEASE HURRY
Answers
Answer:
No. This is not a function
Step-by-step explanation:
8 and 9 have more than one relationship with another number which describes it as not being a function.
PLEASE HELP
Where is this function decreasing?
The function is decreasing from x = □ to x = □
Answers
Answer:
The function is decreasing from x=1 to x=8
Step-by-step explanation:
Three students were given the expression shown and were asked to take a common factor out of two of the terms.
4-9x+21
Chang: 4-3(3x+7)
Chang’s expression is ___ because _______.
Benjamin: 4+3(3x+7)
Benjamin’s expression is ___ because ________.
Habib: 4+12x
Habib’s expression is ___ because ________.
Equivalent Expression
The correct simplification of this expression _____.
please help me omg
Answers
Answer:
Step-by-step explanation:
Please help fast!!!
Select the point on the graph.
Which point represents the x-intercept of this exponential function?
Answers
Answer:
(3,0)
Step-by-step explanation:
the x-intercept is the point when the line touches the x-axis. (3,0) is this point, we can see it in the graph.
Answer:
(3,0)
Step-by-step explanation:
It crosses the x-axis
Certain machine caps 100 bottles every 40 seconds. At this rate, how many will be capped in a minute?
Answers
Answer:
150 will be capped in a minute
A pediatrician plotted the heights and weights of 9 random kids that came through her office. Which coordinate point represents the kid who is 45 pounds? A) (45, 39) B) (38, 45) C) (39, 45) D) (45, 70)
Answers
Answer:
45 70
Step-by-step explanation:
Answer:
(45, 70)
Step-by-step explanation:
You are choosing between two different cell phone plans. The first plan charges a rate of 23 cents per minute. The second plan charges a monthly fee of $49.95 plus 9 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?
Answers
Answer:
357 minutes
Step-by-step explanation:
I subtracted 9 cents/minute from the 23 cents/minute to get 14 cents to get the difference between the two per minute charges. I then divided the monthly cost of $49.95 by .14 to get 356.79... So if you used 357 minutes in a month, the second plan would be 3 cents cheaper at $82.08 (.09 x 357= 32.13 + 49.95), vs. the first plan costing $82.11 (.23 x 357). At 356 minutes the first plan would still be cheaper.
Simplify
2x + x + x + 2y x 3y x y
Answers
Step-by-step explanation:
[tex] \tt{2x + x + x + 2y \times 3y \times y}[/tex]
[tex] \text{Add \: the \: like \: terms : 2x \: + \: x \: + \: x}[/tex]
Like terms are those which have the same base. Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted.
⤑ [tex] \tt{4x + 2y \times 3y \times y}[/tex]
[tex] \text{Multiply : 2y, \:3y \: and \: y}[/tex]
⤑ [tex] \tt{4x + 6 {y}^{3}} [/tex]
Since , 4x and 6y³ are not like terms , they cannot be added. And we're done !
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : 4x + 6 {y}^{3}}}}} [/tex]
Hope I helped ! ツ
Have a wonderful day / night ♡
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁