Answer:
(x, y) ⇒ (2x, 2y)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.
Given that the inner circle has a radius of 1 r and the outer one has a radius of 2 r. To map the inner circle onto the outer circle, the inner circle would need to be enlarged. The scale factor is:
k = outer circle radius / inner circle radius = 2r / 1r = 2
A dilation with a scale factor of 2 would be needed to map the inner circle onto the outer circle.
That is:
(x, y) ⇒ (kx, ky)
The dilation should be (x, y) ⇒ (2x, 2y)
What is transformation and dilation:Transformation refers to the point movement that starts from beginning location to the new location. The dilation refers to the increment or decrement of the figure size.
Here,
The scale factor should be calculated by dividing the outer circle radius from the inner circle radius
[tex]= 2r\div 1r[/tex]
= 2
Therefore, The dilation should be (x, y) ⇒ (2x, 2y)
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Tell whether each equation has no solution, one solution, or infinitely many solutions.
3x-12=3x+1
what is y=x+4 as an ordred pair
Answer:
(0,4), (1,5), (2,6)
Hope this helps
Carly tried to evaluate the expression 24÷(4×2-5)
Answer:
24÷( 4×2-5)
= 24÷(3)
=8
I believe this is the only way to evaluate this expression. Hope it helps.
3
7
11
15
19
Find the 9th term in the sequence.
Caroline purchased a car four years ago at a price of $28,400. According to research on this make and model, similar cars have straight line depreciated to zero value after 8 years. How much will this car be worth after 51 months from when it was purchased?
Answer:
The car value is $13,312.50
Step-by-step explanation:
Trust me this stuff is easy
The car will be worth $13,312.50 after 51 months from when it was purchased.
What is depreciation?Depreciation is the process of deducting the cost of a business asset over a long period of time, rather than over the course of one year.
Now it is given that,
Price of car during purchase = $28,400
Depreciation Time = 8 years
Straight line depreciated value after 8 years = $0
So, Amount of Depreciation per year = Price of car / Depreciaton Time
⇒ Amount of Depreciation per year = 28,400/8
⇒ Amount of Depreciation per year = $3,550
So, after 51 months i.e. 51/12 years
Amount of Depreciation of car after 51 months = Amount of Depreciation per year x Number of years
⇒ Amount of Depreciation of car after 51 months = 3,550 x 51/12
⇒ Amount of Depreciation of car after 51 months = $15,087.5
So, Cost of car after 51 months = $28,400 - $15,087.5
⇒ Cost of car after 51 months = $13,312.50
Thus, the car will be worth $13,312.50 after 51 months from when it was purchased.
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"a circle centered at the origin has a radius of 12. what is the equation of the circle?
Answer:
12 = x^2 + y^2
PLEASE BRAINLIEST?!
The equation of the circle centered at the origin has a radius of 12 is x² + y² - 144 = 0.
What is radius?The circle has a diameter, the whole circumference of the circle, so the radius is the half of the diameter.
The radius of the circle given 12.
All the points on the circle you're looking for have a distance from the origin of 12/ A point's distance from the center is
The equation will be
[tex]\rm d = \sqrt{x^2 + y^2} \\\\ 12 = \sqrt{x^2 + y^2}\\\\12^2 = x^2 + y^2\\\\x^2 + y^2 - 144 = 0[/tex]
Thus, the equation will be [tex]\rm x^2 + y^2 - 144 = 0[/tex]
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Help me plssssssssssssss
Answer:
2÷ 1/3 =6
3 ÷1/2=6
4÷2/3=6
4 ÷1/2=8
12÷3/2=8
Step-by-step explanation:
Hope this helps!
-2(x-3)-2
simplify the expression
Answer:
-2x+4
Step-by-step explanation:
-2(x-3)-2
-2x+6-2
-2x+4
Solve the equation 1/x + 1/3x =4 leave your answer as a fraction in its simplest form
Answer: x = 0.3
Step-by-step explanation:
The required solution of a given equation would be x = 1/3 as a fraction.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
We have been given the equation as
⇒ 1/x + 1/3x = 4
Take the LCM in the above equation
⇒ (3 + 1)/3x = 4
⇒ (4)/3x = 4
Rearrange the term of variable x, and we get
⇒ (4)/(4)(3) = x
⇒ 1/3 = x
⇒ x = 1/3
Therefore, the required solution of a given equation would be x = 1/3 as a fraction.
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What is the answer for this and how would I do the work.
Step-by-step explanation:
......... Understood.................
can someone please help on this question
slope = -1/5 and y intercept = 1
Answer:
x−y+4=8
4x−5+y=0
7x+y=0
OR
6x−3y=12
6x+2y=8
x+6y=5
Step-by-step explanation:
honestly idrk what the question is here but there are some examples as if on a table! Hope this helped!!
Reflect square JKLM with J(1, 4), K(6, 5), L(7, 0) and M(2, -1) in the y-axis. What are the coordinates of M'?
Given:
Reflect square JKLM with J(1, 4), K(6, 5), L(7, 0) and M(2, -1) in the y-axis.
To find:
The coordinates of M'.
Solution:
We have, M(2, -1) .
If a figure reflected over the y-axis then
[tex](x,y)\to (-x,y)[/tex]
Using this rule, we get
[tex]M(2,-1)\to M'(-2,-1)[/tex]
Therefore, the coordinates of point M' are (-2,-1).
A rectangular prism has a volume of 360 cubic inches. If the area of the base is 40, what is the height of the figure?
a.9in
b.320in
c.12in
d.400in
Answer:
a. 9in
Step-by-step explanation:
PLS MARK ME BRAINLIEST!!!!!!!
Solve the inequality 3(x - 2) > 15
Answer:
x > 7
Step-by-step explanation:
i dont know if this is right but i think so
The solution is x > 7
The value of x from the inequality equation 3 ( x - 2 ) > 15 is x > 7
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
3 ( x - 2 ) > 15 be equation (1)
On simplifying the equation , we get
3x - 3 ( 2 ) > 15
3x - 6 > 15
Adding 6 on both sides of the inequality equation , we get
3x > 21
Divide by 3 on both sides of the inequality equation , we get
x > 21/3
x > 7
Therefore , the value of x is greater than 7
Hence , the inequality equation is x > 7
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A cylinder has volume 78 cm3. What is the volume of a cone with the same radius and height?
Answer:
Volume of cylinder V= bh= 78 cm^3, where b is area of base(circle). Then volume of cone = 1/3bh =1/3*78 = 26 cm^3
Answer:
26cm3
Step-by-step explanation:
A broken rectangular-shaped window is being replaced. It measures 24 inches by 182
inches. How many square inches of glass are
needed to repair the window?
Answer: 432 or 4368
Step-by-step explanation:
multiply base and height this case 24,18. 24x18=432 or 182 x 24=4368
if you using 24 x 18 =432
if you using 182x24=4368
what is the solution to 2x+10=28
Answer:
x=9
Step-by-step explanation:
2x + 10 =28 <---- subtract by 10
2x = 18 < divide by 2
x = 9
8. Madison uses 54 beads to make one necklace. If Madison has 2,185 beads, how many necklaces can she make and how many beads would be left over?
A. 40 necklaces with 15 beads left over
B. 40 necklaces with 25 beads left over
C. 42 necklaces with 17 beads left over
D. 42 necklaces with 27 beads left over
Answer:
B) 40 necklaces with 25 left over
Step-by-step explanation:
"A cylindrical container has a radius of 25 inches and a height of 31 inches. What is the volume of
the container?
Volume =
Use the formula:
Radio= r, Height= h
V= 3.14xrx2h
r =25, h=31
V= 3.14 x 25 x 2 (31) =. 4867
V= 4867 cubic inches
Step-by-step explanation:
Edith purchased a stove for $950. It depreciates about 0.7% each year. What is the value of the stove after six years?
A. $946.68
B. $943.35
C. $910.79
D. $990.60
Answer:
C
Step-by-step explanation:
Beause it still retains %99.3 of it's value we can write the following equation
950(.993)^x
where x is years
950(.993)^6=910.7918=C
I HATE when people answer the question and think its right but its not and give themselves 5 star but its wrong and take my points dont answer if you dont know
Answer:
Factsssssssssssssssssssssssssssssssssss
Step-by-step explanation:
1) don't do it
Property being illustrated 73=0+73
Answer:
yes???
Step-by-step explanation:
your question either doesn't make sense or I just don't know
What is the image of (0, 6) after a dilation by a scale factor of 1/3 centered at the origin ?
Answer:
0,4
Step-by-step explanation:
did on delta math rn and got it right. basically just divide 0,12 by 1/3
ex: 0 by 1/3 and 12 by 1/3
12/3 is 4 so 0,4
Mario had $35 but then spent $m
Answer:
how much did he spend
Step-by-step explanation:
Which of the following results in the difference of two squares?
a. (7x - 3y)^2
b. (4x - 9y)(4x - 9y)
c. 5x^2(4x - 3)
d. (2x + 8y)(2x - 8y)
Answer:d
Step-by-step explanation:
I need help I dont know how to do it
Answer:
I put the answers in the picture below!
Step-by-step explanation:
Help me with this question please fastttt
Please solve number 16 for me.
Answer:
post pictures also for your answer
Joseph built a model of a pyramid where
the base of the pyramid is a square.
If
the base has an area of 49 cm2,
what is the side length of the
base?
Answer:
[tex]7[/tex]
Step-by-step explanation:
[tex] \sqrt{49} = 7[/tex]