A geometric figure is dilated by a scale factor of 1.5 with the origin as the center of dilation. Which of the following sentences best describes this dilation?
The x- and y-coordinates of every point of the figure is multiplied by 1.5.
Not here.
The y-coordinate of every point of the figure is multiplied by 1.5.
The x-coordinate of every point of the figure is multiplied by 1.5.
Answers
Answer:
Step-by-step explanation:
The x and y points are multiplied by 1.5
See the graph
Notice that if you start with (4,6) and dilate by a scale of 1.5 then the final point is (6,9)
The slope of these two points (if they were on a line should be 1.5
x2 = 6
x1 = 4
y2 = 9
y1 = 6
m = (9 - 6)/(6 - 4)
m = 3 / 2
m = 1.5 which is what it should be.
The x-coordinate of every point of the figure is multiplied by 1.5.
The scale factor is 1.5, and the center of dilation is the origin (0, 0).
When the figure is dilated by a scale factor of 1.5 with the origin as the center, it means that each point's x-coordinate and y-coordinate are separately multiplied by 1.5.
The y-coordinate of every point of the figure is multiplied by 1.5 is not correct the reason is that in this specific dilation scenario, only the x-coordinate is multiplied by 1.5, while the y-coordinate remains the same. The origin as the center of dilation means that the points move away from or towards the origin, maintaining the same vertical distance.
Therefore, the correct description is "The x-coordinate of every point of the figure is multiplied by 1.5."
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Related Questions
A service station sells gasoline for $3.25 per gallon
and diesel fuel for $3.00 per gallon. On Monday, the
service station's revenue from selling a total of 131
gallons of gasoline and diesel fuel was $404.25. How
many gallons of diesel fuel did the service station sell
on Monday? Show your work
A) 35
B) 55
C) 76
D) 86
Answers
Answer:
86
Step-by-step explanation:
86 x 3 + 45 x 3.25 = ? If it equals 404.25 than the answer is 86
76 x 3 + 55 x 3.25 = ? If it equals 404.25 than the answer is 76
55 x 3 + 76 x 3.25 = ? If it equals 404.25 than the answer is 55
35 x 3 + 96 x 3.25 = ? If it equals 404.25 than the answer is 35
The number you multiply by 3 is the answer.
86 x 3 + 45 x 3.25 = 404.25
Can i have brainleist i did all this?
Help I will be marking brainliest!!!!
A. 241 feet
B. 358 feet
C. 258 feet
D. 341 feet
Answers
Answer: A. 241 feet
Step-by-step explanation:
The figure shows two rectangular triangles.
These triangles are similar since they have two identical angles:
the first angle is 90 degrees;
the second angle is equal because the law of reflection states that the angle of incidence is equal to the angle of reflection.
The law of reflection states that the angle of incidence is equal to the angle of REFLECTION.
Let's make the proportion:
[tex]\dfrac{4}{273} =\dfrac{5}{x} \\\\x=\dfrac{273 \cdot 5}{4} =341.25 \: (feet)\\[/tex]
It takes a minimum of 100 feet for a parachute to open and safely land without injury, so:
341.25 - 100 = 241.25 (feet)
241.25 ≈ 241 (feet)
Rosa buys a bag of cat food for $6.75 and a pack of cat treats for $1.89.
How much money does Rosa spend altogether?
Answers
Answer:
Rosa spend altogether Is 8.64
Step-by-step explanation:
Answer:
8.64
Step-by-step explanation:
u add 6.75 + 1.89.
=8.64
Someone please help me ASAP because I am really stuck thank uuuuu!!!!!
Answers
Answer:
2 3/10
Step by step explanation:
I NEED SERIOUS HELP I AM HAVING MATH EXAM SOON
PLEASEEEEEEEEEE HELP ME IM PREPARING WITH THE PPTS MY TEACHERS HAVE GAVE ME BUT THEY GAVE NO ANSWER AND IM NOT ABLE TO SOLVE THIS(I asked this before itself but never got an answer so with extra details I'm hoping I will get some answers)
Answers
Answer:
Step-by-step explanation:
I need ppl to talk to
Which equation defines a function whose inverse is not a function?
A. y=x^2
B. y=x
C. y=4x-2
D. y=3^x
Answers
Step-by-step explanation:
d maybe byeee jziziznssusuisbzs
(a)
A farmer bought a tractor for Rs 400000 and sold it after using at 10% depreciation rate per year.what is the cost of the tractor after 2years?
Answers
Answer:
320,000
Step-by-step explanation:
Step-by-step explanation:
Hope my answer helps mark me brainliest8v+5=1
v=_
pls help!!!
Answers
i honestly used photomath but
1.move constant to the right (8v+5=1)
2. calculate (8v=1-5)
3. divide both sides (8v= -4)
PLEASE HELP ASAP
Finding angles!!
Answers
Answer:
Angle 1: 115
Angle 2: 65
Angle 3: 115
Angle 4: 65
Angle 5: 115
Angle 6: 65
Angle 7: 115
Step-by-step explanation:
Find the value of angle 2 by applying the vertical angles theorem (65)
Find the value of angle 1 by applying the supplementary angles theorem from the original angle (180 - 65 = 115)
Find the value of angle 3 by applying the vertical angles theorem from angle 1 (115)
Angles 4, 5, 6, and 7 are on a line parallel to the orginal line, cut by the same transversal, so they have the same values, according to the same side interior/exterior angles theorems.
Write the equation of the line passing through the point (-2; 2) that is
PERPENDICULAR to y = -2x + 1 in slope-intercept form. 
Answers
Answer:
2y-x-6=0
Step-by-step explanation:
Can someone please help?
Answers
Answer:
x= -9, x=9
Step-by-step explanation:
hope i helped if i did it wrong lmk i can try doing it better
This is observed variable in an experiment or study changes are determined by the presence or degree of one or more independent variables when graft this variable is usually on the vertical axis
Answers
Answer:
This is the observed variable in an experiment or study whose changes are determined by the presence or degree of one or more independent variables. When graphed, this variable is usually on the vertical axis.
Step-by-step explanation:
A culture of bacteria has an initial population of 110 bacteria and doubles every 6
hours. Using the formula P = Po - 2ả, where Pt is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 19 hours, to the nearest whole number?
Answers
Answer:
988
Step-by-step explanation:
What is the exact value?
Answers
Answer:
5/13 = 0.384615 (repeating)
Step-by-step explanation:
Hope that helps!
Sam’s best friend kisses her 20 times while sam’s BF kisses her 102 times
How many times was Sam kissed
Tell your reasoning ?
Answers
Answer:
122 times
Step-by-step explanation:
20+102=122
(what is this question lol)
Answer:
Well. Depending on Sam's age, she could've been kissed many times. Not just boy her bf or bestie, anyone could kiss her throughout her life time. Your question is very vague and can have many answers. But I'll take a guess and say she was kissed more than 122 times.
Step-by-step explanation:
life.
Q.1 Write the algebraic expressions
(i) Three times p added to four times r
(ii) The difference of 2p and 3q when 2p is less than 3q
(iii) Two-thirds of x added to 2y [3]
help?!
Answers
Answer:
(i) 4r + 3p (ii) 3q - 2p when 3q > 2p (iii) 2y + 2/3 x [not sure what [3] means]
Step-by-step explanation:
So for part (i) 3 multiply p added to 4 times r = 3p + 4r
For part (ii) since subtraction can seem like a negative number you stipulate that 3q is greater than 2p so that is will hold true!
(iii) I'm not sure what the [3] means but just using the numbers [tex]\frac{2}{3}[/tex]x, since of means multiply and add 2y then you have 2y + [tex]\frac{2}{3}[/tex] x
solve for x with working
Answers
Answer:
1
in this *represents x
8*-¹=2/16*
8*-¹= 2/(2)⁴*
8*-¹=2/2⁴*
on comparing quantities , we get
x-1=0/4x
x-1=0
x=1
ik this isnt part of math but I really need help with this question please answer as soon as possible im being timed on this test!
Each figure below shows a force measured in Newtons pushing on a block. If there are no other forces pushing on the block,in which case is the acceleration of the block greatest?
Answers
Answer:I believe it is D I’m taking the same test to
Step-by-step explanation:
Answer:
Step-by-step explanation:
Its d im also taking same test
The coordinates of the vertices of △PQR are P (0, 1), Q (0, 0),
and R (−2, 0). Draw the triangle and its image △P′Q′R′ after a 180°
clockwise rotation about the origin. What are the coordinates of the
vertices of △P′Q′R′?
Answers
Step-by-step explanation:
step 1. P(0, 1) -> P'(0, -1)
step 2. Q(0, 0) -> Q'(0, 0)
step 3. R(-2, 0) -> R'(2, 0)
3 points
15. Metal A has a density of 2.4g/cm3 and Metal B has a density of 1.8
g/cm3. Their masses are combined in the ratio 2:3 to make metal C which
has a mass of 60 grams. Find the density of the metal C*
Answers
Answer:
The density of the metal C is 2 g/cm³
Step-by-step explanation:
The parameters of the two metals are;
The density of the Metal A = 2.4 g/cm³
The density of the Metal B = 1.8 g/cm³
The ratio in which their masses are combined to make the metal C= 2:3
The mass of the metal C, m = 60 grams
Let, 'x', represent the mass of the metal A in the 60 grams of the metal C and let 'y' represent the mass of the metal B in the 60 grams of the metal C
Let the ratio of the metals A and B in the metal C = x:y = 2:3
Therefore;
The mass of the metal A in the metal C, x = (2/(3 + 2)) × 60 g = 24 g
The volume of the metal A in the metal C, V₁ = (24 g)/(2.4 g/cm³) = 10 cm³
The mass of the metal B in the metal C, y = (3/(3 + 2)) × 60 g = 36 g
The volume of the metal B in the metal C, V₂ = (36 g)/(1.8 g/cm³) = 20 cm³
The volume of the metal C, V = V₁ + V₂ = 10 cm³ + 20 cm³ = 30 cm³
The density of the metal C = ρ = m/V
ρ = (60 g)/(30 cm³) = 2 g/cm³
The density of the metal C, ρ = 2 g/cm³
Select all expressions equivalent to (2^-3.2^4)^-2
Answers
Answer:1/4
Step-by-step explanation:
(2^-3.2^4)^-2
2^-2
1/2^2
1/4
1/2^2
1/4
therefore your answer is 1/4
Can anyone please help thank you
Answers
For each data set listed, determine the requested values.
1. 72, 32, 74, 66, 71, 45, 38, 49, 66, 69, 75, 34, 102
Answers
put the numbers in order
32,34,38,45,49,66,66,69,71,72,74,75,102
Q1 = (38 + 45)/2 = 41.5
Q2 (the median) = 66
Q3 = (72 + 74)/2 = 73
Interquartile range (IQR) = Q3 - Q1 = 73 - 41.5 = 31.5
Peter has built a gazebo, whose shape is a regular heptagon, with a side length of $1$ unit. He has also built a pathway around the gazebo, of constant width $1$ unit, as shown below. (Every point on the ground that is within $1$ unit of the gazebo and outside the gazebo is covered by the pathway.) Find the area of the pathway.
Answers
Answer:
Area of pathway = 10.375 unit²
Step-by-step explanation:
Given - Peter has built a gazebo, whose shape is a regular heptagon, with
a side length of 1 unit. He has also built a pathway around the
gazebo, of constant width 1 unit, as shown below.
To find - Find the area of the pathway.
Proof -
Central angle = [tex]\frac{360}{7}[/tex] = 51.43°
Now,
Central angle / 2 = [tex]\frac{360}{14}[/tex] = 25.71°
And
height = [tex]\frac{1}{2}.\frac{1}{tan25.41}[/tex] = 1.038
Now,
Inner area of gazebo = 7·[tex]\frac{1}{2}[/tex]·1·(1.038) = 3.634 unit²
Outer area of gazebo = ([tex]\frac{2.038}{1.038}[/tex])²·(3.364) = 14.009 unit²
∴ we get
Area of pathway = Outer area - Inner area
= 14.009 - 3.634
= 10.375 unit²
⇒Area of pathway = 10.375 unit²
The first term in a sequence is 5. Each new term in the sequence is obtained by adding 4 to the previous term. Determine an equivalent position-to-term formula. Your answer should be an expression in terms of .
Answers
Answer:
4x+1
Step-by-step explanation:
Can anyone help me please
Answers
Just Add All The Numbers Up
he following graph shows the low temperatures for the past six nights. If the line continues as it has for the past six nights, which of the following is a good prediction for Tuesday night's low temperature?
Answers
Answer:
37
Step-by-step explanation:
anyone tell me the answer
Answers
Answer:
a. Pop
b. 30 CDs
c. 230 CDs
Step-by-step explanation:
Given that "O" represents 20 CDs
a. The CD that was the mode is the CD that has as much "O", which is Pop.
Mode = Pop
b. Number of Rock CDs = 3 × 20 = 60 CDs
Number of Classical CDs = 1½ × 20 = 30 CDs
Therefore, 30 more CDs of Rock were sold than Classical CDs were sold
c. Pop = 5*20 = 100 CDs
Jazz = 2*20 = 40 CDs
Classical = 1½*20 = 30 CDs
Rock = 3*20 = 60 CDs
Total sold altogether = 100 + 40 + 30 + 60
= 230 CDs
Having trouble understanding....please help me.
Answers
Answer:
3:2
Step-by-step explanation:
Triangles ABC and PMN are similar. This is evident from the marks identifying equal angles.
The ratio of the two longest sides is 20:30, or 2:3.
The ratio of the two shortest sides is 12:18, or 2:3.
Finally, the ratio of the two sides of intermediate length is 16:24, or 2:3.
The scale factor of the alrger triangle to the smaller triangle is 3:2.
30/9 as an improper fraction
Answers
Answer:
10/3
3 1/3
Step-by-step explanation:
