Answers
Given:
The figure QRST.
The rule of translation is [tex]T_{(3,-2)}(QRST)[/tex].
To find:
The coordinate of vertices after translation.
Solution:
According to the given rule of translation is [tex]T_{(3,-2)}(QRST)[/tex], we get
[tex](x,y)\to (x+3,y-2)[/tex]
From the given figure it is clear that the vertices of QRST are Q(1,3), R(3,-3), S(0,-2) and T(-2,1).
Using the above rule, we get
[tex]Q(1,3)\to Q'(1+3,3-2)=Q'(4,1)[/tex]
[tex]R(3,-3)\to R'(3+3,-3-2)=R'(6,-5)[/tex]
[tex]S(0,-2)\to S'(0+3,-2-2)=S'(3,-4)[/tex]
[tex]T(-2,1)\to T'(-2+3,1-2)=T'(1,-1)[/tex]
Therefore, the coordinates of the vertices after translation are Q'(4,1), R'(6,-5), S'(3,-4) and T'(1,-1).
The ordered pairs for the vertices of T(3, –2)(QRST) are
[tex]\mathbf{Q' = (4,1)}[/tex] [tex]\mathbf{R' = (6,-5)}[/tex] [tex]\mathbf{S' = (3,-4)}[/tex] and [tex]\mathbf{T' = (1, -1)}[/tex]
The coordinates of QRST are:
[tex]\mathbf{Q = (1,3)}[/tex]
[tex]\mathbf{R = (3,-3)}[/tex]
[tex]\mathbf{S = (0,-2)}[/tex]
[tex]\mathbf{T = (-2,1)}[/tex]
The transformation rule of [tex]\mathbf{T(3,-2)}[/tex] is:
[tex]\mathbf{(x,y) \to (x + 3,y -2)}[/tex]
So, we have:
[tex]\mathbf{Q' = (1 + 3,3 -2)}[/tex]
[tex]\mathbf{Q' = (4,1)}[/tex]
[tex]\mathbf{R' = (3 + 3,-3 -2)}[/tex]
[tex]\mathbf{R' = (6,-5)}[/tex]
[tex]\mathbf{S' = (0 + 3,-2 -2)}[/tex]
[tex]\mathbf{S' = (3,-4)}[/tex]
[tex]\mathbf{T' = (-2 + 3,1 -2)}[/tex]
[tex]\mathbf{T' = (1, -1)}[/tex]
Hence, the ordered pairs for the vertices of T(3, –2)(QRST) are
[tex]\mathbf{Q' = (4,1)}[/tex] [tex]\mathbf{R' = (6,-5)}[/tex] [tex]\mathbf{S' = (3,-4)}[/tex] and [tex]\mathbf{T' = (1, -1)}[/tex]
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Related Questions
Can someone please help me?
Answers
Answer:
2
Step-by-step explanation:
Please please help!!! Solve for the value of x and y
Answers
The value of y=34
EXPLANATION/ please mark brainliest! :)
X+14=2x-6
Subtract 6 from both sides
X+20=2x
Subtract x from both sides
20=x
Now substitute and add
20+14=2(20)-6
34=34 ✅
HAVE A GREAT DAY
Can somebody please help me?
Answers
Answer:
576 cm2
Step-by-step explanation:
Find the slope of the line shown on the graph to the right
Answers
Answer:
the slope is 2/4 or 1/2 both work
Need some help with math pleasee
Answers
Answer:
whats the question? I ca answer it if you tell me :)
Step-by-step explanation:
7) A cylindrical pipe has a circumference of 16 cm. Calculate the diameter of the pipe
Answers
Answer:
pi×diamiter = circumference
pi÷circumference = diamiter
3.14159265358979 (pi) ÷ 16
Step-by-step explanation:
Please help if you help thank you so much
Answers
Answer:
All answers apply
Step-by-step explanation:
Although it may seem like it doesnt, the absolute value of -12 is just 12, which ends up still being less than 14.
Absolute value takes away the negative and leaves positive number as a result.
Answer:
all of them since it's absolute value all numbers are below 14
im on the last question of my test and I need help. what table represents a linear function??
Answers
Answer:
d is right guy below me is right because this one has a partern
because everytime it was going -2 for y and +1 for x
Answer:
D is the answer
Step-by-step explanation:
For a table to be linear, you can look at the y and x. The equation for slope if ∆y/∆x. Basically, look at the change in y over the change in x. In the last equation, the rule for y cotinues to be -2. X changes as +1. This is a pattern that continues. If you put the y/x, the slope would be -2.
Also, if you look at the other equations, there is no rule. Therefore, the answer is D.
1. Which value makes the equation 1.50(8x-12) = 30?
Answers
Answer:
x = 4
Step-by-step explanation:
1.50(8x - 12) = 30
~Simplify left side
12x - 18 = 30
~Add 18 to both sides
12x = 48
~Divide 12 to both sides
x = 4
Best of Luck!
Question 3
Julie and Carlos each generated a real number equivalent to
1/64
Which expressioir could NOT belong to Julie or Carlos?
15.8-2
A
B
8-2
4
D
Answers
The expressions that could NOT belong to Julie or Carlos include:
a. 15.8.2
d. 2.10.24
How to illustrate the expression?It is important to note that in Mathematics, an expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables.
In this case, the value of 15.8.2 will be:
= 15 × 8 × 2
= 240
Also. 2.10.24 will be:
= 2 × 10 × 24
= 480
Therefore, the correct options are A and D.
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Complete question
Julie and Carlos each generated a real number equivalent to
1/64
Which expressions could NOT belong to Julie or Carlos?
a. 15.8.2
b. 8.2.2²
c. 4.4.2²
d. 2.10.24
7y-(9+4y)= -3
y=?
Rest in peace 999
Answers
Answer:
y = 2
Step-by-step explanation:
Given
7y - (9 + 4y) = - 3 ← distribute parenthesis by - 1
7y - 9 - 4y = - 3 , that is
3y - 9 = - 3 ( add 9 to both sides )
3y = 6 ( divide both sides by 3 )
y = 2
Answer:
you are not a brainly bot
Step-by-step explanation:
Help please Which number sentence below matches this word problem?
Elliot Construction has two cranes. The large crane can lift up to 7 tons. The
small one can lift up to 6 tons. How much more weight can the large crane
lift than the small crane?
A. 7-6 = 1
B. 7 x 6 = 42
C. 7-1 = 6
D. 6 + 7 = 13
SUBMIT
Answers
Answer:
I think it's d
Step-by-step explanation:
Nit 100% sure but if nit its b
The number sentence that matches the given word problem is:
A. 7-6 = 1
The word problem asks how much more weight the large crane can lift than the small crane. To find the difference, we subtract the weight capacity of the small crane (6 tons) from the weight capacity of the large crane (7 tons).
Therefore, 7 - 6 = 1, which means the large crane can lift 1 ton more than the small crane.
Ben was holding a bake sale to raise money for his field trip. He sold cookies for $2 each, muffins for $1 each, and lemonade for $4 a bottle. If he sold 24 cookies, 13 muffins, and 36 bottles of lemonade, how much money did he raise for his field trip? Explain how you found your answer.
Answers
Answer: he raised $205
Step-by-step explanation:
cookies: $48 (24x2)
muffins: $13 (13x1)
lemonade: 144 (36x4)
144+13+4=$205
Answer:
205
Step-by-step explanation:
COOKIES: 2x24= 48
MUFFINS: 1x13= 13
LEMONADE: 4x36= 144
144+ 48+ 13= 205
written answer:
The answer is 244 i got this answer by mulitplying how much he sold by the prices he sold by.So i multiplied 2x24 for the cookies and got 48, then i multiplied the muffins 1x13 to get 13.Finally i multiplied 4x36 to get 144 after that, i added all the sums up and i got the answer 205. So Ben raised $205 for his feild trip.
What is the symbol for infinitely many solutions?
Answers
Which statements are true regarding the sides and angles of the triangle? Select three options. Line segment X Y is the longest side. Angle X is the largest angle. Angle Z is greater than angle Y. Line segment X Z is opposite the largest angle. Line segment X Z is the shortest side.
Answers
Answer:
B. Angle X is the largest angle.
C. Angle Z is greater than angle Y.
E. Line segment X Z is the shortest side.
Step-by-step explanation:
YZ = 2n, XZ = n - 2, XY = n + 4 and n ≥ 5.
YZ - XZ = 2n - (n - 2) = n + 2. but n ≥ 5, hence YZ - XZ = n + 2 ≥ 7.
YZ > XZ
YZ - XY = 2n - (n + 4) = n - 4. but n ≥ 5, hence YZ - XY = n - 4 ≥ 1
YZ > XY
XY - XZ = n + 4 - (n - 2) = 6: XY > XZ
Therefore:
YZ > XY > XZ
The angles are proportional to their opposite sides, hence:
∠X > ∠Z > ∠Y
A. Line segment XY is the longest side.
This is wrong because YZ is the longest side.
B. Angle X is the largest angle.
This is correct. ∠X is the largest angle because it is opposite to the longest side (YZ)
C. Angle Z is greater than angle Y.
This is correct. ∠Z is opposite to the side XY while ∠Y is opposite to the side XZ
D. Line segment XZ is opposite the largest angle.
This is wrong. ∠X is the largest angle which is opposite to the longest side (YZ)
E. Line segment X Z is the shortest side.
This is correct
Answer:
bce
Step-by-step explanation:
Find the value of k , if one of the two roots of the equation : x2 + k X – 98 = 0 is double
the additive inverse of the other.
«+
C
Answers
Given:
[tex]x^2+kx-98=0[/tex]
One of the two roots of the given equation is double the additive inverse of the other.
To find:
The value of k.
Solution:
Let two roots of the given equation are [tex]\alpha[/tex] and [tex]\beta[/tex].
According to the question,
[tex]\beta=2(-\alpha)[/tex] (Additive inverse of [tex]\alpha[/tex] is [tex]-\alpha[/tex])
[tex]\beta=-2\alpha[/tex]
If [tex]\alpha[/tex] and [tex]\beta[/tex] are roots of the quadratic equation [tex]ax^2+bx+c=0,[/tex] then
[tex]\alpha+\beta=-\dfrac{b}{a}[/tex]
[tex]\alpha\beta=\dfrac{c}{a}[/tex]
We have,
[tex]x^2+kx-98=0[/tex]
Here, a =1, b=k and c=-98.
[tex]\alpha+\beta=-\dfrac{k}{1}[/tex]
[tex]\alpha-2\alpha=-k[/tex] [tex][\because \beta=-2\alpha][/tex]
[tex]-\alpha=-k[/tex]
[tex]\alpha=k[/tex] ...(i)
Now,
[tex]\alpha\beta=\dfrac{c}{a}[/tex]
[tex]\alpha(-2\alpha)=\dfrac{-98}{1}[/tex] [tex][\because \beta=-2\alpha][/tex]
[tex]-2\alpha^2=-98[/tex]
Divide both sides by -2.
[tex]\alpha^2=49[/tex]
Taking square root on both sides.
[tex]\alpha=\pm \sqrt{49}[/tex]
[tex]\alpha=\pm 7[/tex]
Using (i), we get
[tex]k=\pm 7[/tex]
Therefore, the value of k is either -1 or 1.
Craig has a job waiting tables where he earns $3.65 per hour plus tips. Craig earned $79.65 in tips during his shift yesterday.
If x represents the number of hours Craig worked yesterday, which of the following equations can be used to find the amount of money Craig earned yesterday?
Answers
subtract
It’s probably like 79.65-3.65 and boom that’s the answer
question down belowww
Answers
Answer:
z=6
Step-by-step explanation:
First you add -8 to both sides. Now the equation is [tex]\frac{z}{-2} \\[/tex]=-3. Now you must multiply both sides by -2, so you get z=6
What is the output of y=6x−11 when the input is 5?
Answers
2. 30-11
3. 19
The output of the equation will be 19.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given is an equation, y=6x−11
Putting x = 5
y = 6*5-11
y = 19
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51=3x-4x+4 solve for x please
Answers
Answer:
you answer is x=-47
Step-by-step explanation:
easy peasy
3 (2x + 3) + 11 = –2 (2x - 6) - 18
Answers
Answer:
29=6
Step-by-step explanation:
follow BODMAS in mathematics
How do I solve this equation?
Answers
2x+5=-15
2*5+5=15
2*-10+5=15
Hope this helps
9.476, 9.427, 9.43, 9.347, 9.4, 9.38
LESS OR GREATER
ASAP PLS
Answers
Answer:
9.4, 9.38, 9.43, 9.347, 9.437, 9.476
Step-by-step explanation:
i need help
this is due today at 4
Answers
Answer:
Hi The Answer is A.
Step-by-step explanation:
The Answer is A Because of the funter travel of the X.
x*y=z
Hope This Helps.
:)
My name is John henry.
Solve the absolute value inequality: |8x + 5| > 15. Express using interval notation
Answers
Answer:
8 < 2
Step-by-step explanation:
8x + 5 > 15
8x > 15 - 5
8x > 10
x < 2
cmiiw
PLS HELP W MATH FINAL
Answers
Answer: ask ma th way
Step-by-step explanation: it gives you the right answer
Explanation:
x = (2y + 5)/4
4x = 2y + 5
4x - 5 = 2y
(4x - 5)/2 = y
So in the inverse function would be f^-1(x) = (4x - 5)/2
Which of the following minor function have a rate of change that is really then 14? select all that apply
Answers
Answer:
Uhm....attach the photo
Step-by-step explanation:
where is the rest of the quienstion?
Step-by-step explanation:
???
Select all that apply! Pleaseee I need help!!!!
Answers
A. 7.6
B.9
C.7.1
D.8 units
HELPP PLEASEE
Answers
Answer:it will be c
Step-by-step explanation:
9514 1404 393
Answer:
C. 7.1
Step-by-step explanation:
The distance is found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((1-(-6))² +(1-2)²) = √(7² +(-1)²) = √50
d ≈ 7.07107 ≈ 7.1 . . . . . matches choice C
Write y=-1/2x^2+16x-96 in factor form
Answers
Answer: -1/2(x-24)(x-8)
Step-by-step explanation: