Transformation involves changing the size and position of a shape.
The coordinates of P'Q'R' follows the transformation rule [tex]\mathbf{(x,y) \to (0.5x-3,0.5y+1)}[/tex]
First PQR is dilated by 0.5.
The transformation rule of this dilation is:
[tex]\mathbf{(x,y) \to 0.5(x,y)}[/tex]
This gives
[tex]\mathbf{(x,y) \to (0.5x,0.5y)}[/tex]
Next, the points are translated 1 unit up and 3 units right.
The transformation rule of this translation is:
[tex]\mathbf{(x,y) \to (x-3,y+1)}[/tex]
So, we have:
[tex]\mathbf{(x,y) \to (0.5x-3,0.5y+1)}[/tex]
Hence, the coordinates of P'Q'R' follows the transformation rule [tex]\mathbf{(x,y) \to (0.5x-3,0.5y+1)}[/tex]
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kết quả của phép tính (2x-3).(x-2) là
Step-by-step explanation:
= (2x - 3)(x - 2)
= 2x² - 4x - 3x + 6
= 2x² - 7x + 6
someone pls help>>>>>>>>>>>>>>>
Step-by-step explanation:
Hope it's help, study well goodluck!
if a^x=b^y and a^y=b^x, show that x=y.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
Using first equation we get,
[tex] {a}^{x} = {b}^{y} [/tex][tex]a = \sqrt[x]{ {b}^{y} } [/tex]
[tex]a = {b}^{ \frac{y}{x} } [/tex]now, plug the value of a in other equation ~
[tex]a {}^{y} = b {}^{x} [/tex][tex]( {b}^{ \frac{y}{x} } ) {}^{y} = {b}^{x} [/tex][tex]{(b) }^{ \frac{y}{x} \times y} = {b}^{x} [/tex][tex] {(b)}^{ \frac{ {y}^{2} }{x} } = {b}^{x} [/tex][tex] \dfrac{ {y}^{2} }{x} = x[/tex][tex] {y}^{2} = {x}^{} \times x[/tex][tex] {y}^{2} = {x}^{2} [/tex][tex]y = x[/tex]I hope it helps ~
Sanji scored 125 points in the first round of a video game and 263 points in the second round. His total score after the third round was 557 points.
How many more points did Sanji score in the third round of the video game than in the first round?
Sanji scored 44 points more in third round as compared to the first round.
What is an Equation?An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.
Sanji score in the first round of video game is 125 points
Sanji score in the second round of video game is 263 points
Let Sanji's score in the third round of video game is x points
Total score is 557 points
The equation is
125+ 263+ x = 557
388 + x = 557
x = 169 points
As compared to the first round Sanji scored = 169 -125 = 44 points more
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The population of a town changed by -17.4% over 4 years. What was the average change per year?
Fill in the blank.
ahh help plzzz
First, let’s look at the total increase - it’s either 100% (you added 150,000 to 150,000) or 50% (half of the 300,000 came in the last decade). Most often increases are described by the percentage of the starting amount, but the other convention can sometimes be used as well. For small percentages around 5% or lower, the two values will be almost the same, but in this case it makes a big different.
Answer:
-4.35% or -0.0435
Step-by-step explanation:
What's the radius of a cone with the height of 12 in and a volume of 16 pi in^3
Answer:
radius of cone is 2 inches
Step-by-step explanation:
Can somebody help????
Answer:
125/64
Step-by-step explanation:
I hope this helps
please help I've been on this for a while now
Answer:
option (A)
Step-by-step explanation:
the domain of the original -> the range of the inverse
the range of the original -> the domain of the inverse
*urgent* Need Determine whether this quadrilateral must be a parallelogram
Isn't that a parallelogram?
I WILL GIVE BRIAN LIST!!!!!! Look at triangle ABC. Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 2, 2, and C at ordered pair 4, 2. What is the length of side AB of the triangle? (1 point) Group of answer choices 3 Square root of 13 5 Square root of 6
Answer: square root is 20
PLEASE HELP QUICK!! ALGEBRA 2
state if the given binomial is a factor of the given polynomial. show all work needed to determine this.
1) (12r³-18r²-90r-49) / (4r+6)
and
2) (70x³-31x²+83x-24) / (10x-3)
what do i do when there's a number before the x/r in the binomial??? help
Answer:
1) 3x^2 - 9x - 9 + (5 / (4x + 6))
2) 7x^2 - x + 8
forty five and nine hundredths as numbers
What is the distance between points (6,-9) and (-3,4)
Answer:
18
Step-by-step explanation:
Distance between points (6, -9) and (-3, 4) is 15.81 units.
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We have to given that;
Two points are (6, -9) and (-3, 4).
We know that;
Distance between two points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
Hence, Distance between two points (6, -9) and (-3, 4) is,
⇒ d = √ (- 3 - 6)² + (4 - (-9))²
= √ (-9)² + 13²
= √ 81 + 169
= √250
= 15.81
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solve pls brainliest
Keegan and Annie are working on an experiment in the science lab Their mixture contains ingredients that weight 5.22 grams 5.7 grams and 7.43 grams Keegan calculates the combined weight to be 18.22 grams and Annie calculated it to be 13.22 grams
After a hike, a group of students equally share 5 boxes of granola bars. Each box has 8 granola bars. Which algebraic expression represents this situation?
A. (5 × 8) ÷ s
B. 5 × (8 ÷ s)
C. s × (5 + 8)
D. (s + 5) × 8
please rn i need my grade up thank you
Answer:
Its A
Step-by-step explanation:
Its basically saying that there are 40 granola bars split up by s which are the students.
Answer:
A.(5×8)÷s is the correct answer.
Step-by-step explanation:
5 group boxes of granola bars equally share each box has 8 pieces of granola bars.So u will find the no.of student which s as the substitute no. of student.
Kaitlin makes house calls. For each, she is paid a base amount and makes additional money for each hour she works. The graph below shows her pay (in dollars) versus the number of hours worked.
Use the graph to answer the questions.
increases by 30 per hour worked
1/2 is the slope
Answer:
love u too :)
Step-by-step explanation:
9(3x - 2) - 15x = 10 - 417 - 3x)
Is it one solution/ many solution/ no solution?
one solution: x= -389/15
Answer:
I think this is the answer there are two i believe
Step-by-step explanation:
x =(15-√345)/6=5/2-1/6√ 345 = -0.596
or
x =(15+√345)/6=5/2+1/6√ 345 = 5.596
Does this graph show a function? Explain how you know.
graph passes the vertical line test.
O.B. No; there are y-values that have more than one x-value.
than one x-value
D Yes, there are no y-values that have more
C A. Yes the
• C No, the graph fails the vertical line test.
Answer:
No, the graph fails the vertical line test.Step-by-step explanation:
If the graph is a circle, then it fails the vertical line test. It means the graph doesn't represent a function.
Correct choice is the last one
Omg help with my homework PLEASE ASAP. what donu graph and how do i suow my workkkkk whats the answer
Answer:
you have to start with you b which in your problem is 5 so put a point at 5 on the y-axis on your graph. then with the M (the fraction numbers) you have to move either up or down depending if there is a negative number. so yours is 1/2 so then you would start at the 5 point and go up 1 and right 2 then you just keep repeating till you get a few points and can make a line then you just do the same thing for the other equation. start at 3 on the y-axis and then go up 3 and right 4 then just keep repeating till you get a few point and can create a line at the end the lines should cross each other like perpendicular lines
Step-by-step explanation:
hope this helps:)
Which equation can be used to find 75 percent of 200?
StartFraction 75 times 1 Over 200 times 1 EndFraction = StartFraction 75 Over 200 EndFraction
StartFraction 100 times 26.7 Over 75 times 2.67 EndFraction = StartFraction 267 Over 200.25 EndFraction
StartFraction 200 times 2 Over 100 times 2 EndFraction = StartFraction 400 Over 200 EndFraction
StartFraction 75 times 2 Over 100 times 2 EndFraction = StartFraction 150 Over 200 EndFraction
Answer:
Option DStep-by-step explanation:
A. StartFraction 75 times 1 Over 200 times 1 EndFraction = StartFraction 75 Over 200 EndFraction
75*1/200 = 75/200, INCORRECT, same number can't be 75% and 100% same timeB. StartFraction 100 times 26.7 Over 75 times 2.67 EndFraction = StartFraction 267 Over 200.25 EndFraction
100*26.7 / 75*2.67 = 267/200.25, INCORRECT, 75% of the number can't be greater than number itself (267 > 200)
C. StartFraction 200 times 2 Over 100 times 2 EndFraction = StartFraction 400 Over 200 EndFraction
200*2/100*2 = 400/200, INCORRECT, 75% of the number can't be greater than number itself (400 < 200)D. StartFraction 75 times 2 Over 100 times 2 EndFraction = StartFraction 150 Over 200 EndFraction
75*2/100*2 = 150/200, CORECTHiram practices soccer and baseball. Each day he practices soccer for 3 hours. After 5 days, he practiced both soccer and baseball for a total of 30 hours. Assuming that he practiced baseball the same amount of time each day, how many hour per day did Hiram practice baseball? *
find the slope of (-7,-13) and (1,-5)
Answer:
20+ -4=
-16
Step-by-step explanation:
learn the number no sign break apart add divide add the last to numbers
A square piece of cardboard was used to construct a tray by cutting 2-inch squares out of each corner and turning up the flaps. Find the size of the original square if the resulting tray has a volume of 128 cu in.
Answer:The original square was 10 x 10 inches
Step-by-step explanation:
Let L, W, and H stand for length, width, and height (in inches)
Volume = L*W*H
L*W*H = 128 in^3
H = 2 in
This is a square, so L = W
L*W*H = 128 in^3
W*W*(2in) = 128 in^3
W^2 = 64 in^2
W = 8 in
Add 2 in for the area that was used for the side.
The original square was 10 x 10 inches
What’s the root of this function?
Answer:
-2, 3
Step-by-step explanation:
I think you have it correct, it's always when x=o
Answer:
x = - 2 and x = 3
Step-by-step explanation:
The roots are the points where the graph crosses the x- axis
On the x- axis the y- coordinates of any point is zero
From the table
When y = 0 , then x = - 2 and x = 3 ← roots
Ashanti went to the store with $30 and spent 75% of the money what fraction of the money did she spent
Answer: They spent 3/4 of the money.
Step-by-step explanation:
y^2 − 20x − 6y − 51 = 0
answer:
Simplifying Y2 + -20X + -6y + -51 = 0
Reorder the terms: -51 + -20X + Y2 + -6y = 0
Solving -51 + -20X + Y2 + -6y = 0
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '51' to each side of the equation. -51 + -20X + Y2 + 51 + -6y = 0 + 51
Reorder the terms: -51 + 51 + -20X + Y2 + -6y = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -20X + Y2 + -6y = 0 + 51 -20X + Y2 + -6y = 0 + 51
Combine like terms: 0 + 51 = 51 -20X + Y2 + -6y = 51
Add '-1Y2' to each side of the equation. -20X + Y2 + -1Y2 + -6y = 51 + -1Y2
Combine like terms: Y2 + -1Y2 = 0 -20X + 0 + -6y = 51 + -1Y2 -20X + -6y = 51 + -1Y2 Add '6y' to each side of the equation. -20X + -6y + 6y = 51 + -1Y2 + 6y Combine like terms: -6y + 6y = 0 -20X + 0 = 51 + -1Y2 + 6y -20X = 51 + -1Y2 + 6y Divide each side by '-20'. X = -2.55 + 0.05Y2 + -0.3y Simplifying X = -2.55 + 0.05Y2 + -0.3y
Whole numbers from 3 to 30. List the numbers less than 7 or prime
Can someone help me with this question? I'm confused :(
The polynomial will have zeroes of
3, 4 + 2i, 4 - 2i, 1 + √7 and 1 - √7
So we have
(x - 3) (x - (4 + 2i) ) ( x - (4 - 2i) ) ( x - (1 - √7) ) ( x - (1 + √7) ) =
Breaking this down, we have
( x - (4 + 2i ) (x - ( 4 - 2i) = (x^2 -x(4 + 2i) - x (4 - 2i) + (4 + 2i) (4 - 2i) =
(x^2 -4x - 2ix - 4x + 2ix + 16 + 4) = ( x^2 - 8x + 20)
And
( x - (1 - √7)) ( x - ( 1 + √7) =
x^2 - x(1 - √7) - x ( 1 + √7) + (1 - √7) (1 + √7) =
x^2 - x + √7x - x - √7x + 1 - 7 =
(x^2 - 2x - 6)
So we have
(x - 3) ( x^2 - 8x + 20) (x^2 - 2x - 6) =
This expands to :
x^5 - 13 x^4 + 60 x^3 - 82 x^2 - 144 x + 360
----------------------------------
I hope this helps! :)
Evaluate the following intergration:
∫y³ 3√(y.dy)
Evaluate:
[tex] \: \: \: \: \: \: \displaystyle\int\rm {y}^{2} \sqrt[3]{y} \: dy[/tex]
[tex] {\large\underline{\sf{Solution-}}}[/tex]
[tex] \: \: \: \: \: \: \displaystyle\int\rm {y}^{2} \sqrt[3]{y} \: dy[/tex]
can be rewritten as
[tex]\rm \: = \: \displaystyle\int\rm {y}^{2} \times {\bigg(y\bigg) }^{\dfrac{1}{3} } \: dy[/tex]
[tex]\rm \: = \: \displaystyle\int\rm {\bigg(y\bigg) }^{2 + \dfrac{1}{3} } \: dy[/tex]
[tex]\rm \: = \: \displaystyle\int\rm {\bigg(y\bigg) }^{\dfrac{6 + 1}{3} } \: dy[/tex]
[tex]\rm \: = \: \displaystyle\int\rm {\bigg(y\bigg) }^{\dfrac{7}{3} } \: dy[/tex]
[tex]\rm \: = \: \dfrac{ {\bigg(y\bigg) }^{\dfrac{7}{3} + 1} }{\dfrac{7}{3} + 1 } + c[/tex]
[tex]\rm \: = \: \dfrac{ {\bigg(y\bigg) }^{\dfrac{7 + 3}{3}} }{\dfrac{7 + 3}{3}} + c[/tex]
[tex]\rm \: = \: \dfrac{ {\bigg(y\bigg) }^{\dfrac{10}{3}} }{\dfrac{10}{3}} + c[/tex]
[tex]\rm \: = \:\dfrac{3}{10} {\bigg(y\bigg) }^{\dfrac{10}{3}} + c[/tex]
