Translate triangle A vector by vector (3). To give triangle B..
(-1)
Plz help urgent
Answers
Answer:
rotated about 180 degrees clockwise
Step-by-step explanation:
Triangle C is in the first quadrant and this transformation is done by translating triangle A by a vector (-3,1) and then rotating the triangle B by 180 degrees.
What is the translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.
From the given graph, the vertices of triangle A are (1, -1), (1, -4) and (3, -4)
The given vector is (-3, 1).
Translate triangle A by a vector (-3,1) to give triangle B.
Then rotate your triangle B 180 degrees around the origin to give triangle C.
The following steps can be used to describe the transformation that maps triangle A onto triangle C:
Step 1 - Triangle A is given in the fourth quadrant.
Step 2 - Now, as per the given data translate triangle A by a vector (-3,1) which means the triangle shift in the negative x-axis by a factor of 3 and also shift downwards in the negative y-axis by a factor of 1.
The resulting triangle is in the third quadrant which is triangle B.
Step 3 - Now, rotate the triangle B by 180 degrees. So, the resulting triangle is triangle C which is in the first quadrant.
Therefore, triangle C is in the first quadrant and this transformation is done by translating triangle A by a vector (-3,1) and then rotating the triangle B by 180 degrees.
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Related Questions
graph the equation y=5x
Answers
Answer:
Make a line connecting points (0,0) (1,5) and (-1,-5)
Step-by-step explanation:
Okay, so you have to start your first point at (0,0), which is the origin, because there is no y-intercept in the equation.
Next you use slope, Rise/Run to plot your next point. In the equation y=mx+b, the slope is in m. So in y=5x, the slope is 5/1 .
So, you're going to move up 5 from the origin and move to the right once, which will give you the point (1,5).
If you need another point to make a line go the opposite way from the origin. So we would go down 5 and left 1. That would give us the point (-1,-5)
Hopefully this helps! Leave a comment if it does and I suggest asking your teacher to make sure it's correct!
Help me with this question
Answers
A slot machine has 3 wheels that spin independently. Each has 10 equally likely symbols: 4 bars, 3 lemons, 2 cherries, and a bell. If you play, what is the probability that you get at least one bar?
Answers
Answer:
a) 3 lemons = (0.3)^3 = 0.027
------------------------------------
b) No fruit symbols = (0.5)^3 = 0.125
c) 3 bells (the jackpot) = (0.1)^3 = 1/1000
d) No bells = (999/1000)
e) At least one bar (An automatic loser)= 1 - P(no bars)
= 1 - 3C0(0.4)^0*0.6^3 = 1-0.6^3 = 0.784
============================================
Cheers,
Please help me solve for x in
Inx + In(x +25)=0
Answers
Step-by-step explanation:
ln(x) + ln(x + 25) = 0
ln(x(x + 25)) = 0
ln(x² + 25x) = 0
ln(x² + 25x) = ln(1) , x ≥ 0
x² + 25x = 1
x² + 25x + 625/4 = 1 + 625/4
(x + 25/2)² = 629/4
x + 25/2 = ±√(629/4)
x = ( -25 ±√629)/2
x = (-25 - √629)/2 atau ( -25 + √629)/2
(-25 - √629)/2 ≥ 0 NOT PROVED
(-25 + √629)/2 ≥ 0 PROVED
Solution → x = (-25 + √629)/2
solve for x 2/3x + 9 = - 13
Answers
Answer:
X=-33
Step-by-step explanation:
Answer:
x= -33
Step-by-step explanation:
Subtract 9 from both sides:
2/3x+9-9=-13-9
Simplify the arithmetic:
2/3 · x =-13-9
Simplify the arithmetic:
2/3 · x = -22
Multiply both sides by inverse fraction 3/2:
2/3x ·3/2= -22 ·3/2
Group like terms:
2/3 ·3/2x= -22 ·3/2
Simplify the fraction:
x=-22 · 2/3
Multiply the fractions:
x= -22·2/3 ÷2
Simplify the arithmetic:
x = -33
16 ft
8. GARDEN A rectangular garden is 12 feet across and 16 feet long. It is
surrounded by a border of mulch that is a uniform width, x. The
maximum area for the garden, plus border, is 285 ft.
a. Write a polynomial equation to represent the situation.
12 it
b. Write and solve a system of equations.
c. What are the dimensions of the garden plus border?
Answers
The dimensions of the border is 1.5 feet for the garden
A rectangle is a quadrilateral with four sides and four angles in which opposite sides are equal and parallel.
The area of a rectangle = Length * breadth
Given that length of garden = 16 ft., width of garden = 12 ft.
It is surrounded by a mulch of width x, hence:
New length = 16 + x + x = 16 + 2x
New width = 12 + x + x = 12 + 2x
The area of garden = 16 + 2x(12 + 2x) = 192 + 56x + 4x²
Since the maximum area is 285 ft, hence:
192 + 56x + 4x² = 285
4x² + 56x - 93 = 0
x = 1.5 feet
The dimensions of the border is 1.5 feet
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k/-6 - (-4) = 6 equation
Answers
Answer:
-12
Step-by-step explanation:
k/-6 - (-4) = 6
k/-6 + 4 = 6
k/-6 = 6 - 4
k/-6 = 2
k = 2 . -6
k = -12
HELP I NEED TO SIMPLIFY THIS
Answers
Step-by-step explanation:
[tex] = ( - \frac{1}{3} + \frac{1}{9} ). {4}^{2} + \frac{5}{18} [/tex]
[tex] = ( - \frac{3}{9} + \frac{1}{9} ).16 + \frac{5}{18} [/tex]
[tex] = - \frac{2}{9} .16 + \frac{5}{18} [/tex]
[tex] = - \frac{32}{9} + \frac{5}{18} [/tex]
[tex] = - \frac{64}{18} + \frac{5}{18} [/tex]
[tex] = - \frac{59}{18} [/tex]
Option → C
letter c
Step by step Explanation:
(-1/3+1/9)(4²)+5/18
=-2/9(4²)+5/18
=-2/9(16)+5/18
=-32/9+5/18
=-59/18
hope this help you!
Linear or Nonlinear?
Answers
Answer:
it is linear because there is no answers on the input side that are the same and there is no numbers on the output that are the same if it was nonlinear there would have 2 be some numbers that are the same but the answer is linear because there are no numbers that are the same
Step-by-step explanation:
Answer:
Linear
Step-by-step explanation:
In a group of 304 people, the ratio of adult women to adult men is 3:4 and the ratio of adult men to children is 1:3. How many children are there
Answers
Answer:
192
Step-by-step explanation:
A group of friends wants to go to the amusement park. They have no more than $285 to spend on parking and admission. Parking is $7.25, and tickets cost $28.50 per person, including tax. Which inequality can be used to determine x x, the maximum number of people who can go to the amusement park?
Answers
Answer:
max number of people is 9
Step-by-step explanation:
285 - 7.25 - 28.50p
HELP GEOMETRY pls answer both questions
The construction of copying is started below. The next step is to set the width of the compass to the length of. How does this step ensure that the new angle will be congruent to the original angle?
How is copying a line segment similar to copying an angle?
Answers
1st step is to copy a segment and an angle , 2nd step is to set the width of the compass to the length of segment. and last step to draw a perpendicular line.
What is geometry ?
Geometry is the branch of mathematics focused on the relationships and characteristics of solids, surfaces, solids, and other such objects.
Given, we must describe the first stage , which will be the process of copying a line segment, which ensures that the new line segment is the same length as the original line segment. An angle and a segment must be copied as a first step. The picture gives a description of the copying construction.
The width of the compass must then be adjusted to the segment length. The new angle will now be consistent with the original angle. This is the next step.
Making a perpendicular line is the next step. Here, it is demonstrated how to draw a line through a point that is perpendicular to the given line.
Therefore , 1st step is to copy a segment and an angle , 2nd step is to set the width of the compass to the length of segment. and last step to draw a perpendicular line.
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graph the line with slope 2/5 and y intercept -2
Answers
Answer:
Step-by-step explanation: you would start with a dot on the y-axis at -2, then you would go up 2 and over 5 cuz the slope is 2/5. just keep doing this and you’ll have your graph
An item is regularly priced at $85. Eric bought it on sale for 25% off the regular price.
Use the ALEKS calculator to find how much Eric paid.
Х
?
Answers
Answer: $63.75
Step-by-step explanation:
85-25%= $63.75
58% of 79 is what amount?
Answers
Answer:
45.82
Step-by-step explanation:
F(-1)=-6 f(4)=-6
write a linear function f with the given values
(The top one please)
Answers
Answer:
y=-6.
Step-by-step explanation:
1) the condition f(-1)=-6 and f(4)=-6 mean points A and B have coordinates (-1;-6) and (4;-6);
2) the points A and B has the same y-coordinate, it means, the required line is parallel to the x-axis and the required function is: y=-6.
P.S. the suggested way is not the only one.
The linear function f is f(x) = -6.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(-1) = -6
f(4) = -6
The linear function f can be in the form of f(x) = mx + c.
Now,
m = (-6 + 6) / (4 - 1)
m = 0/3
m = 0
Now,
f(-1) = -6
x = -1
f(x) = mx + c
f(-1) = 0 x -1 + c
-6 = 0 + c
c = -6
Now,
f(x) = -6
Thus,
The function f is a constant function.
f(x) = -6
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Sao can text 1500 words per hour. He needs to text a message with 85 words. He only has 5 minutes between classes to complete the text.
Answers
Answer:
Step-by-step explanation:
First divide 1500 by 60 to see how many words he can write in a minute. he can text 25 words a minute. multiply that by five to see how many words he can text in five minutes. he can text 125 words in five minutes, so he can text 85 words in a minute.
what is –0.025 as a fraction??
Answers
Answer:
- 1/40
Step-by-step explanation:
-0.025 = -0.025/1
we have 3 numbers after the decimal point so we multiply both numerator and denominator by 1000
( -0.025 x 1000)/(1 x 1000) = -25/1000
reduce the above fraction by dividing both numerator and denominator by the greatest common divisor between them. in this case GCD (25,1000) = 25.
(-25/25)/(1000/25) = - 1/40
The perimeter of a rectangle is 50 cm, the length is 10 cm. What is the width? Area?
Width=
area=
Answers
Answer:
Width: 15 cm
Area: 150 cm squared
Step-by-step explanation:
I did 10 + 10 to get the total of the two sides of the rectangle.
I subtracted 20 from 50 to get what the two widths are supposed to add up to.
The answer was 30 so I divided 30 by 2 to get what one width equals.
The width equals 15.
To get the area of a rectangle you have to multiply the length by the width which would be 150 cm squared.
Step-by-step explanation: the width is 15cm
if last month was july what month will it be 21 months from now? will chose branliy
Answers
Answer:
March
Step-by-step explanation:
July August Sept Octo Nov Dec Jan Feb Mar Apr May June July August September Octo Nov Dec Jan Feb March
Just count the months till u get to 21 and whatever month 21 lands on, thats the month
solve pls brainliest
Answers
Answer:
$4.25
Step-by-step explanation:
Answer:
Sales tax: $4.25
What is the greatest common factor (GCF) of the following polynomial?
6x^3y + 12x^2y^2 - 15x^3y^3
Answers
PLEASE HELP ME!!!
Complete the similarity statement with letters and symbols
APQR-A
angle S = degrees.
What similarity statement justifies the similarity
What theorem helped you to find the missing angle degrees?
Answers
Mag aral ka po ng ayos pag nag f2f na para di ka naka asa dito
7x-5 °
sosssssssssssssssssssssssssssssssssssssssssss
Answers
Answer:
I think it's -35
Step-by-step explanation:
sorry if its wrong
Two plants are being compared for how many zucchinis are picked from each plant each week, the data shown in two plot points What is the difference between the medians of the dot plot points.
PLEASE HELPP MEEE!!
Answers
2,
median is the number in the middle if you wrote them from least to greatest and crossed of the ends.
Plant A's median is 3 and Plant B's is 5.
median is the number in the middle if you wrote
them from least to greatest and crossed of the
ends.
Plant A's median is 3 and Plant B's is 5.
18 less than a number is 35 what is the number
Answers
Answer: Let the number be x.
According to the question,
2x-3=13
So, 2x=16
So, x=8.
Thus, the number is 8
Step-by-step explanation:
Write the equation 12y = 4x + 1 in standard form.
Answers
Answer:
4x - 12y = -1
Step-by-step explanation:
Standard form Ax +By = C
12y = 4x + 1
0 = 4x - 12y +1 Substract 12y from both sides
-1 = 4x - 12y as 4x - 12y = -1 Substract -1 from both sides
Find the sum of 2 and 5.
Draw a model to prove your answer. Think before you draw. How many
wholes will you need to draw to model 21 and 5?
Answers
Answer:
7
Step-by-step explanation:
$3.50 per gallon is gasoline they bought 61.001 gallon of gasoline how much was his total cost
Answers
Answer:
213.5035 or 213.50
Step-by-step explanation:
I did the math lol
Answer:
213.5
Step-by-step explanation:
What is the constant term of 3X squared +7-2(4x+1)
Answers
Answer:
5
Step-by-step explanation:
Convert the equation into standard form and look for the value without a variable.
[tex]3x^2+7-2(4x+1)\\3x^2+7-8x-2\\3x^2-8x+7-2\\3x^2-8x+5[/tex]
9 is the constant
