Draw the following triangle after a translation 1 unit to the left and 1 unit up.
HELP
Answers
Step-by-step explanation:
move the shape 1 square to the left and then move it one square up
The triangle after a translation 1 unit to the left and 1 unit up will have vertices at (2, 2), (-4, 4), and (-2, 0).
Translation is a rigid transformation that moves each point of a figure a certain distance in a specified direction. For this triangle, we will translate all its vertices 1 unit to the left and 1 unit up.
Impact on the Coordinates:
Let's consider each vertex of the triangle and apply the translation:
a) Vertex (3, 1):
After the translation, this point will move 1 unit to the left and 1 unit up. Therefore, the new coordinates will be (3 - 1, 1 + 1) = (2, 2).
b) Vertex (-3, 3):
This point will also move 1 unit to the left and 1 unit up. The updated coordinates will be (-3 - 1, 3 + 1) = (-4, 4).
c) Vertex (-1, -1):
Similarly, this point will undergo the translation, resulting in (-1 - 1, -1 + 1) = (-2, 0).
New Triangle:
Now, we have the new coordinates for the vertices after the translation:
Vertex 1: (2, 2)
Vertex 2: (-4, 4)
Vertex 3: (-2, 0)
The transformed triangle will have vertices at (2, 2), (-4, 4), and (-2, 0).
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Related Questions
Which linear inequality is represented by the graph?
Answers
Step-by-step explanation:
the linear inequality is how to measure value of a line through quality and quantity.
a number divided by 3 minus 5 is less than 10
Answers
Answer:
x < 45
Step-by-step explanation:
Let's call that number x. x/3 - 5 < 10, and we can add by five on both sides then multiply by 3 on both sides to get that x < 45.
Directions: Identify the slope and y intercept. Then write an equation in y = mx + b form. 9) 4 3 2 1 0 -3 -2 0 1 2 -1 -1 -2 -3 -4 Slope = y - intercept = Equation = Type here to search i a
Answers
Answer:
dbjsbysdtsagkpadh2igdgdsdHAHAHAHAHAHAHAHAHAHAHAHAHAHAHHAHA
Answer:
Step-by-step explanation:
What is the area of the parallelogram?
80 cm 2
40 cm 2
29 cm
58 cm 2
Answers
Answer:
80cm²
Step-by-step explanation:
Area of parallelogram =base×height
B=16cm
H=5
Area=16×5
80cm²
Hope this helps you :)
Step-by-step explanation:
area= b×h
area= 16cm × 5cm
area= 80 cm²
a new computer comapny has its sales increasing by 3% each week. A second computer company has its sales decreasing by $100 each day. the first company had $500 in sales when the second company had $7000 in sales. after approximately how many weeks will the sales for the two companies be the same?
A. 9
B. 13
C. 49
D. 63
Answers
Answer:
49
Step-by-step explanation:
Triangle LMN has L at (1, -1) and M at (2, 3). Triangle L'M'N' has L' at (-1, -1), M' at (3, -2), and N' is at (-3, 0). What are the coordinates of vertex N?
N (3, 0)
N (0, 0)
N (0, 3)
N (0, -3)
Answers
Answer:
The answer is N(0,-3)
How many 1-inch cubes are needed to create a rectangular prism that is 6 inches long, 2 inches wide and 3 inches high
Answers
why doesn't an elephant smoke?
Answers
Answer:
Because it can't
Step-by-step explanation:
Answer:
i dont know, y does it smoke?
Step-by-step explanation:
The equation
5
w
+
16
=
61
models how many weeks,
w
, it takes a puppy to reach a weight of
61
ounces after being born. If the puppy gains the same amount of weight each week, how many weeks does it take the puppy to reach
61
ounces?
Answers
Answer:
9 weeks
Step-by-step explanation:
5w+16=61
Subtract 16 from both sides of the above equation.
5w+16-16=61-16
5w = 45
w = 9
An hour before show time, only 105 people have arrived to the concert. According to the statistics, 95% of the people have yet to arrive. How many tickets were sold for the concert?
Answers
Answer: 2,100 tickets
Step-by-step explanation:
105 people have arrived for the concert yet it is said that 95% of people are yet to arrive. This means that the 105 people are 5% of the tickets sold.
Assume the total number of tickets sold is x:
5% * x = 105
0.05x = 105
x = 105 / 0.05
x = 2,100 tickets
Answer:
2100
Step-by-step explanation:
x= 2,100
5% x = 105
0.05x = 105
x = 105/0.05
A creature on the moon throws a rock off a cliff. The height of the rock above the surface of the moon, in meters, t seconds after it is thrown is given by h(t) = −t 2 + 8t + 10. When does the rock hit the surface of the moon?
Answers
Answer:
9.099 seconds
Step-by-step explanation:
The rock hits the surface of the moon when is t is 0.
[tex]-t^2 + 8t + 10 = 0\\t^2 - 8t - 10 = 0[/tex]
Use the quadratic formula
t = -1.099 and 9.099
Since time can't be negative, the answer is t = 9.099
There are 37 empty seats and 13 occupied seats on a train. What percentage of the seats on the train are empty?
Answers
Answer:
92.5%
Step-by-step explanation:
Triangle Theorem ( sss, sas, asa )
Answers
Answer:
A.) SSS
B.) HL
C.) SAS
Kylie and her family need to buy a new refrigerator. The space available for the refrigerator measures 37 in. wide, 72 in. high, and 24 in. deep. Which size refrigerator would be the BEST fit for the available space?
Answers
Answer: Answer D, 42,000 in
Step-by-step explanation:
ok no one cares lol lolololol
Eva and Jimmy share and amount of money in the ratio of 8:5 Eva gets 21 more than Jenny. How much do they get each
Answers
Answer:
Eva:$56
Jimmy/Jenny:$35
Step-by-step explanation:
diff->8-5=3
3u->$21
1u->$21÷3=$7
Eva->$7×8=$56
Jimmy/Jenny->$7×5=$35
Cora read one sixth of her book on day one. She read one fourth of her
book on day two. What fraction of her book did she read in two days?
Answers
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]\frac{1}{6}[/tex] + [tex]\frac{1}{4}[/tex] = finding common denominator which is 12. so multiply both sides with what makes them 12 ...... [tex]\frac{1}{6}[/tex] [tex]\frac{2}{2}[/tex] & [tex]\frac{1}{4}[/tex][tex]\frac{3}{3}[/tex] then add = [tex]\frac{5}{12}[/tex]
Perform the indicated operation.
40−4
010
001
−8
−1
3
⇒ 40
⇒ 0
010
001
⇒ 4
−1
3
Multiply row 1 by the reciprocal of 4.
400
010
001
4
−1
3
100
010
001
−1
3
Answers
Answer:
yeah the answer is in the question just needed the points
Step-by-step explanation:
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
and,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
What is matrix?"A set of numbers arranged in rows and columns so as to form a rectangular array."
What is augmented matrix?"A matrix formed by combining the columns of two matrices to form a new matrix."
What are elementary row operations?"The mathematical operations that are performed on rows of a matrix."
For given question,
We have been given an augmented matrix.
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
We need to perform the row operation 4R3 + R1 → R1
To perform above row operation,
- First multiply the third row by 4. ([tex]4R_3[/tex])
- Add the new third row (4[tex]R_3[/tex]) with the first row.
- Then replace Row 1 with the result.
The resultant augmented matrix would be,
[tex]\begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
That is,
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Now, we need to perform the row operation [tex]\frac{1}{4}[/tex] R1 → R1 on the above resultant augmented matrix.
To perform above row operation,
- Multiply the Row 1 by the reciprocal of 4.
- Then replace Row 1 with the result.
The resultant augmented matrix would be,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Therefore,
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
and,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
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2. What is the slope of a line that contains the points (4, 2) and (5,9)
Answers
Answer:
m=7
__________________
simplificar 55-56 entre 4×2+82×3
Answers
Answer:
Step-by-step explanation:
this awnser is 73 92 837
Joe would like to paint a rectangular shaped wall. The measures of dimensions of the wall are 8 inches by 4 inches. Every 1 inch represents 3 feet of the actual wall. If the cost of the painting is $2.50 per square feet, find the total cost of paint needed for the entire wall.
Answers
Answer:
$90
Step-by-step explanation:
8 + 4 = 12
12 x 3 (3 feet for each inch) = 36
36 x 2.50 (cost per square foot) = $90
Answer:
$240
Step-by-step explanation:
8 x 4 is 32
32 x 3 is 96
96 x 2.5 is 240
Work out
Root 6 x root 6 x root 6
Answers
The value of the expression √6 × √6 × √6 will be 6√6.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The expression is given below.
⇒ √6 × √6 × √6
Simplify the equation, then the value of the expression will be
⇒ √6 × √6 × √6
⇒ (√6)³
⇒ 6√6
The value of the expression √6 × √6 × √6 will be 6√6.
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Devide. Reduce to lowest terms 3/8 1/7
Answers
Multiply the numerators and the denominators separatley.
This cannot be simplified further, but it can be converted to a mixed number (as opposed to an improper fraction).
Seven bottles of soft drink were put out onto the
table at a birthday party. How much soft drink
was left over after 5 2/9 bottles were consumed?
please help me due tomorrow
Answers
Answer:
I think the answer is 1 7/9
HELP ILL GIVE 80 AND BRAINLIEST
Answers
Answer:
288 sq feet is my best guess
Step-by-step explanation:
On January 29, 2019, Australian authorities confiscated 157.7 kilograms of heroin with an estimated street value of 77 million AUD (Australian dollars). The exchange rate at the time was 1 USD = 1.42 AUD. Based on this information, what was the value in U.S. Dollars per pound for the heroin? Round your answer to the nearest thousand dollars.
Answers
Answer: $343849
Step-by-step explanation:
Since the exchange rate at the time was 1 USD = 1.42 AUD, therefore we will convert 77 million AUD to dollars which will be:
= 77 million / 1.42
= $54.225 million
Therefore, the value in U.S. Dollars per pound for the heroin will be:
= $54.225 million / 157.7
= $343849 pee pound
How do you know when a number is divisible by 6?
A. when the number in one's digit is even
B. when the number is divisible by 4
C. when the last three digits are divisible by 8
D. when the number is even AND is divisible by 3.
Answers
Answer:
the answer is D
Step-by-step explanation:
makes sense...
PLS HELP!! Jason bought glass vases for his booth at the fair. If he bought 13 vases and the total weight was 34.97 lb, how much did each vase weigh?
A. .00269 lb
B. .0269 lb
C. .269 lb
D. 2.69 lb
Answers
Answer:
D. 2.69 lb is your answer
13vases=34.97lb
1 vase=34.97/13=2.69lb
98n^2-200 factoring special cases
Answers
Step-by-step explanation:
Factor 98n2−200
98n2−200
=2(7n+10)(7n−10)
Answer:
2(7n+10)(7n−10)
What is the price of a can of soda if a case of 24 is 8.99
Answers
Answer:
Discount:
20% is .2 as a decimal, so you multiply the value of 12 by .2
12(.2)=2.4
The discount is $2.40
Sale Price:
subtract 2.4 from the price of the original price
12-2.4=9.6
The sale price is $9.60
Step-by-step explanation:
Answer:
Each can of soda will cost $0.37
Step-by-step explanation:
First you write 24/8.99 = 1/x because you are trying to find the cost for 1 soda
24/8.99 = 1/x
Then you cross multiply.
24*x 8.99*1
24x=8.99
Divide each side by 24
24x/24=8.99/24
x=0.374583
Round it to the nearest hundredths place.
x=0.37
A TV and Washing machine were purchased for Rs 15000 each. If together, they are sold at Rs 35000, What is Profit and Profit%
Answers
Given:
A TV and Washing machine were purchased for Rs 15000 each.
Together, they are sold at Rs 35000.
To find:
The profit and profit%.
Solution:
A TV and Washing machine were purchased for Rs 15000 each. So, the total cost price is
[tex]C.P.=15000+15000[/tex]
[tex]C.P.=30000[/tex]
Together, they are sold at Rs 35000. So, the selling price S.P. is 35000.
Now,
[tex]Profit=S.P.-C.P.[/tex]
[tex]Profit=35000-30000[/tex]
[tex]Profit=5000[/tex]
And,
[tex]Profit\%=\dfrac{Profit}{C.P.}\times 100[/tex]
[tex]Profit\%=\dfrac{5000}{30000}\times 100[/tex]
[tex]Profit\%=\dfrac{50}{3}[/tex]
[tex]Profit\%\approx 16.67[/tex]
Therefore, the profit is Rs. 5000 and the profit percent is 16.67%.