Graph the image of the given triangle after the transformation with the rule (x, y)→(y, x) .
Answers
Note how the x and y values swap places.
We have...
point A = (5,1) turn into point A' = (1,5)
point B = (8,1) turn into point B' = (1,8)
point C = (8,6) turn into point B' = (6,8)
The swap occurs because the rule (x,y) --> (y,x) tells this to happen.
The purple triangle is the final answer.
Related Questions
The Ye Ol' Sandwich Shop sells 4 different sandwiches, 6 different drinks, and 3 different desserts. How many different orders could you place if you decided to buy a sandwich and a drink?
Answers
1 of 4 options for a sandwich
1 of 6 options for a drink
These categories are not dependent on each other. 4*6=24 possible combinations.
so 4 x 6 = 24
you have 24 different combinations you can do
hope this helps
A circle has its center at the origin, and (5, -12) is a point on the circle. How long is the radius of the circle?
5
12
13
Answers
Answer:
r = 13
Step-by-step explanation:
The radius of a circle that its center at the origin, and passes through point (5, -12) is 13 units
How to determine the length of the radius?The given parameters are:
Center, (a,b) = (0,0)Point, (x,y) = (5,-12)The length of the radius is calculated using:
[tex]r = \sqrt{(x - a)^2 + (y - b)^2}[/tex]
So, we have:
[tex]r = \sqrt{(5 - 0)^2 + (-12 - 0)^2}[/tex]
Evaluate
[tex]r = \sqrt{169}[/tex]
Solve the square root
r = 13
Hence, the radius is 13 units long
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.help me with this please. thank you
Answers
Slope of line passing through A(8,8) and B(4,6)→
m = (6-8)/(4-8) = (-2)/(-4) = 1/2
m = 1/2
When given a raw score, explain how to use the normal curve to compare to the population
Answers
what are three ways to name a line with 5 points?
Answers
EGJ
EFFHJ
Hope I helped
−65y+19<−2y+41 solve for Y please
Answers
is the answer
Solve the equation n times 50 equals 5000 explain your solution
Answers
n = 100.
Hope this helped :)
A rectangle of area 350 square feet is 14 times as wide as it is long. Find its length and width
Answers
Let length be x
then width = 14x
Now, just area = [tex]14x \times x [/tex]
[tex]350 = 14x^2 \\ x^2 = 25 \\ x = 5 [/tex]
so length = 5
and width = 14 x 5 = 60
what is the converse of the linear pairs theorem
Answers
What is the length of TW¯¯¯¯¯¯ ?
segment T W with point U between T and W. segment T U is marked congruent to segment U W. segment T U is labeled as 16 units long.
Enter your answer in the box.
Answers
The length of TW of the given Line segment is; 32
How to find the length of a Line segment?From the given line segment with partition, we can see that;
Segment TU = 16
From the partition, we see that;
Segment TU is equal to Segment UW. Thus;
TU = UW = 16
Thus;
TW = TU + UW
TW = 16 + 16
TW = 32
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What are the SI base units for length and mass?
kilometer and gram
meter and gram
meter and kilogram
kilometer and kilogram
Answers
Ken is making gift bags for a party. He has 64 colored penes and wants to put the same number in each bag. How many bags will ken make if he puts 4 in each bag?
Answers
64 pens = 1/4 x 64
= 16 bags
Ken will make 16 gift bags if he puts 4 in each bag.
The sides of ABC are 30 units, 40 units, and 60 units in length. If the corresponding sides of XYZ are r times as long as the sides of ABC, which expression gives the perimeter of XYZ? 130r 3 x 130r
Answers
Simplify 3(3y + 2) + 8y. !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
23y
–17y + 2
17y + 6
–17y + 6
Answers
9y + 6 + 8y
17y + 6 is your answer
hope this helps
Add like terms: 17y+6
The answer is 17y+6
What is the solution to the system of linear equations?
6x+7y=59
4x+5y=41 how do you do it
Answers
Answer:
The correct answer is 4, 5 :)
Step-by-step explanation:
A system of linear equations can be solved by elimination, substitution or using graphs.
The values of x and y for [tex]6x + 7y= 59[/tex] and [tex]4x + 5y =41[/tex] are 4 and 5, respectively.
Given
[tex]6x + 7y= 59[/tex]
[tex]4x + 5y =41[/tex]
Make x the subject in [tex]4x + 5y =41[/tex]
[tex]4x = 41 - 5y[/tex]
Divide by 4
[tex]x = \frac 14(41 - 5y)[/tex]
Substitute [tex]x = \frac 14(41 - 5y)[/tex] in [tex]6x + 7y= 59[/tex]
[tex]6 \times \frac 14(41 - 5y)+ 7y = 59[/tex]
[tex]\frac 32(41 - 5y)+ 7y = 59[/tex]
Multiply through by 2
[tex]2 \times \frac 32(41 - 5y)+ 2 \times 7y = 2 \times 59[/tex]
[tex]3(41 - 5y)+ 14y = 118[/tex]
Open brackets
[tex]123 - 15y+ 14y = 118[/tex]
Collect like terms
[tex]- 15y+ 14y = 118 - 123[/tex]
[tex]-y = -5[/tex]
[tex]y = 5[/tex]
Substitute [tex]y = 5[/tex] in [tex]x = \frac 14(41 - 5y)[/tex]
[tex]x = \frac 14(41 - 5 \times 5)[/tex]
[tex]x = \frac 14(41 - 25)[/tex]
[tex]x = \frac 14(16)[/tex]
[tex]x = 4[/tex]
Hence, the solution to the system of linear equations is:
[tex]x = 4[/tex]
[tex]y = 5[/tex]
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Simplify. −64x6y9−−−−−−−√3 assume all variables are nonnegative.
Answers
-64 = (-4)(-4)(-4)
Then,
x6 = x2 (x2) (x2)
and,
y9 = (y3)(y3)(y3)
If we take the cube root, we consider only one item per product. Thus, the answer is,
-4x²y³
Answer:
[tex]-4x^2y^3[/tex]
Step-by-step explanation:
We have been given an expression [tex]\sqrt[3]{-64x^6y^9}[/tex]. We are asked to simplify our given expression.
Applying radical rule [tex]\sqrt[n]{-a}=-\sqrt[n]{a}[/tex], when n is odd, we will get:
[tex]-\sqrt[3]{64x^6y^9}[/tex]
We can rewrite terms of our given expression as:
[tex]-\sqrt[3]{(4)^3(x^2)^3(y^3)^3}[/tex]
Using radical rule [tex]\sqrt[n]{a^n}=a[/tex], we will get:
[tex]-4x^2y^3[/tex]
Therefore, simplified form of our given expression is [tex]-4x^2y^3[/tex].
Solve each problem and write your answer in scientific notation
Answers
The length is 5 units more than the width. The perimeter is 9 times the width. Find the length and width of the rectangle. Can you also include the steps thanks!
Answers
The length, width, and perimeter of the rectangle are 7 units, 2 units, and 18 units.
What is the perimeter?Perimeter is the sum of the length of the sides used to make the given figure.
Let the width of the rectangle be represented by x. The length is 5 units more than the width. The perimeter is 9 times the width. Therefore, we can write,
Width = x
Length = 5 + x
Perimeter = 9x
Now, the length, width, and perimeter of the rectangle together can be written as,
Perimeter = 2(Length + Width)
9x = 2[(5+x) + x]
9x = 2(5 + x + x)
9x = 2(5 + 2x)
9x = 10 + 4x
9x - 4x = 10
5x = 10
x = 10/5
x = 2
Further, the dimensions can be written as,
Width = x = 2 units
Length = 5 + x = 2 + 5 = 7 units
Perimeter = 9x = 9(2) = 18 units
Hence, the length, width, and perimeter of the rectangle are 7 units, 2 units, and 18 units.
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1. If x-1 is a factor of p(x)=x^3-7x^2+15x-9, which of the following represents the complete factorization for p(x)?
A. (x-3)(x+4)(x+1)
B. (x-3)(x-3)(x-1)
C. (x-3)(x+3)(x-1)
D. (x-3)(x+3)(x+1)
2. The point (1,0) lies on the graph of p(x)=x^4-2x^3-x+2
True or false
Answers
Answer:
1. Option B is the correct answer.
2. The point (1,0) lies on the graph of p(x)=x⁴-2x³-x+2.
Step-by-step explanation:
1. Dividing x³-7x²+15x-9 with (x-1).
[tex]\frac{x^3-7x^2+15x-9}{x-1}=x^2-6x+9[/tex]
Factorizing x²-6x+9 we will get
x²-6x+9 = (x - 3)(x-3)
x³-7x²+15x-9 = (x-1)(x - 3)(x-3)
Option B is the correct answer.
2. We have p(x)=x⁴-2x³-x+2
That is y = x⁴-2x³-x+2
We have coordinates (1,0), substituting
y = 1⁴-2 x 1³-1+2 = 0
So when we are substituting x value as 1 we are getting y as zero, so the point lies in curve.
the water level of a pond drops an inch every 7 days without rain how many days will it take the ponds water level to drop by 12 inches
Answers
1 inch in 7 days
multiply 7 by 12
7 *12 = 84 days
cross multiply
(1)(x) = (7)(12)
x = 84 days <===
Identify the transformation that maps the figure onto itself.
Answers
Answer:
C is the answerStep-by-step explanation:
Rotate 180° about the point (2, -4) -- maps the figure onto itself.
A figure is mapped onto itself when the transformation results in the original pre-image for the image.
Answer: C is the answer
Step-by-step explanation:
Rotate 180° about the point (2, -4) -- maps the figure onto itself. A figure is mapped onto itself when the transformation results in the original pre-image for the image.
Use the drop-down menus to identify the values of the parabola.
Vertex = ____
Domain = {x| ____ }
Range = {y| y ≤ ____ }
Answers
The answer is
Vertex: 0,4
Domain: x is a real number
Range: 4
:D
Answer:
Vertex - (0,4)
Domain - [tex]D=[x|x\in\mathbb{R}][/tex]
Range - [tex]R=[y|y\leq 4][/tex]
Step-by-step explanation:
Given : The graph of a parabola
To find : The values of the parabola - Vertex ,Domain and Range
Solution :
To identify the vertex the given parabola given by equation
[tex]y=-x^2+4[/tex]
Vertex is given by [tex]y=a(x-h)^2+k[/tex]
where (h,k) are the vertex.
Comparing with equation,
Vertex is (h,k)=(0,4)
Domain is the set of value where function is defined.
The domain of given function is all real numbers.
[tex]D=[x|x\in\mathbb{R}][/tex]
Range is the set of value that corresponds to the domain.
[tex]R=[y|y\leq 4][/tex]
Which logical form represents this statement?
Either it is not cold today or I am wearing woolen coat.
p : It is cold today. q : I am wearing woolen coat.
~p ∧ ~q
~p ∧ q
~p ∨ q
~(p ∨ q)
Answers
1996 gail devers won the 100-meter dash in the olympic games. her times was 10.94 seconds. what was her speed in meters per second?
Answers
Solving this problem is just pretty straight forward. We simply have to get the ratio of distance and time to get the speed. that is:
speed = distance / time
speed = 100 m / 10.94 s
speed = 9.14 m/s
Final answer:
Gail Devers' average speed during her Olympic win in the 100-meter dash with a time of 10.94 seconds is calculated to be approximately 9.14 meters per second using the formula speed = distance/time.
Explanation:
In 1996, Gail Devers won the 100-meter dash in the Olympic Games with a time of 10.94 seconds. To find her average speed in meters per second, we use the formula:
s = d / t
where s is speed, d is distance, and t is time. Given that the distance (d) is 100 meters and the time (t) is 10.94 seconds, we can calculate the average speed:
s = 100 m / 10.94 s ≈ 9.14 m/s
Therefore, Gail Devers' average speed during her Olympic 100-meter dash victory was approximately 9.14 meters per second.
subtract 6/8 - 1/4 enter your answer in the box below as a fraction in lowest terms using the slash ( / ) as the fraction bar
Answers
The difference of the given fractions is 1/2.
Given that, 6/8 - 1/4.
Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.
Here, 6/8 - 1/4
= 6/8 - 2/8
= (6-2)/8
= 4/8
= 1/2
Therefore, the difference of the given fractions is 1/2.
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1.What is the value of X? show calculations and formulas
What is the measure of one of the exterior angles of a regular octagon?
Answers
so
x=720°-100°-133°-120°-128°-112°
x=720°-593°
x=127°
2v+46=8(v-1)
I got -54/10 which I know is wrong. Please help.
Answers
2v+46 = 8v-8
then, we will gather the terms with the variables on one side of the equation and the terms with no variables on the other side.
46+8 = 8v-2v
54 = 6v
to get the value of v, we will divide both sides of the equation by 6
v = 54/6 = 9
A golf ball is dropped from a height of 30 ft to the pavement, and the rebound is one fourth the distance it drops. if after each descent it continues to rebound one fourth the distance dropped, what is the distance the ball has traveled when it reaches the pavement on its tenth descent?
Answers
The question deals with a sequence of movements of a golf ball falling and rebounding, which forms a geometric series. To find the total distance traveled by the ball on its 10th descent, we calculate the sum of the first 19 terms of this geometric progression.
Explanation:The student is asking about a geometric series problem, which involves a golf ball being dropped from a height and rebounding to a fraction of that height. The sequence of the distances covered by the ball forms a geometric progression.
Let's denote the initial height the ball is dropped from as a, which is 30 ft. The rebound height is one-fourth of the descent, so the rebound ratio, or common ratio r, is 1/4. The ball travels the initial height a plus the rebound distance each time it hits the pavement. This series continues with each rebound being one-fourth of the previous fall. We want to find the total distance traveled by the ball as it hits the pavement on its 10th descent.
The total distance traveled D after the ball hits the pavement for the 10th time is the sum of the first 10 terms of this geometric sequence. Using the formula for the sum of the first n terms of a geometric series, [tex]S_n = a(1-r^n)/(1-r)[/tex], where n is the number of terms, we can calculate the total distance.
For 10 descents, we have n = 19 since each descent and rebound except
the last descent counts as two movements:
[tex]S_{19} = 30(1-(1/4)^{19})/(1-(1/4))[/tex]
[tex]S_{19} = 30(1-(1/4)^{19})/(3/4)[/tex]
By calculating [tex]S_{19[/tex], we find the total distance traveled when the ball hits the pavement on its 10th descent.
What will the equation be if mowing need help. I need my lawn mowed every week from June through the middle of July. I will pay 35 dollars for each mowing for 7 weeks
Answers
[tex]\bf \stackrel{payment}{p}=35\stackrel{weeks}{w}\implies p=35w\qquad 1\le x\le 7[/tex]
if x and y are both negative when is x-y positive
Answers
For example
x = -2
y = -5
x-y = -2-(-5) = -2+5 = 3