7384(x)748 (8967-888)
Answer: [tex](x,y) \to (4x,4y)[/tex] which is choice (3)
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Explanation:
The general transformation of [tex](x,y) \to (kx,ky)[/tex] describes a dilation with scale factor k. If k is not equal to 1, then the resulting image will not be the same size as the preimage.
In this case, k = 4. This means that the resulting image has its side lengths 4 times greater compared to the preimage side lengths. For example, if a side length is 5 units long in the preimage, then its corresponding length in the image is 5*4 = 20 units long.
If this is enlargement applied to all sides, then the perimeter also goes up by the same scale factor (since the perimeter is the sum of all exterior sides). The image perimeter will be four times that of the preimage perimeter.
In summary, if you apply a dilation (where k is not equal to 1), then the perimeter will change. If k > 1, then the perimeter gets larger. If 0 < k < 1, then the perimeter will shrink.
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Extra info:
Choice (1) describes a reflection over the line y = xChoice (2) is a reflection over the x axis.Choice (4) describes a translation of 2 units to the right and 5 units down.The transformations of reflections, translations, and rotations all are considered rigid transformations. This means that they keep the same size and shape. You can imagine the camera is moving around in some way and the shapes stay still (but give the illusion of movement). In other words, rigid transformations will keep the perimeter the same. Because of this, we can rule out choices (1), (2) and (4).The average cost for a gallon of gasoline in 2006 was $2.45. In 2007, the average cost of a gallon of gasoline was $3.29. What is the approximate percent of change in the cost of a gallon of gasoline?
A. 25%
B. 35%
C. 75%
D. 135%
Answer:B
Step-by-step explanation:
2.45(0.35)= 0.8575+2.45= 3.30
Simplify 5a – (2a + 6)
Answer:
Step-by-step explanation:
Add '-2a' to each side of the equation.
5a + -2a = -6 + 2a + -2a
Combine like terms: 5a + -2a = 3a
3a = -6 + 2a + -2a
Combine like terms: 2a + -2a = 0
3a = -6 + 0
3a = -6
Divide each side by '3'.
a = -2
Simplifying
a = -2
5a -2a -6
3a -6
Step-by-step explanation:
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Please helppppp I’m almost done with itttt
The answer is [tex]\frac{5}{10}[/tex]
And that is correct
Answer:
5/10
Step-by-step explanation:
can be reduced to 1/2 or 0.5
laurague here is your answer:)
Write a story that could represent this math problem.
Joe went on holiday to Spain.
His flights cost a total of £320
Joe stayed in an apartment for 3 weeks.
The apartment cost 560 euros each week.
Joe hired a car for 15 days.
The car hire cost 20.16 euros each day.
The exchange rate was £1 = 1.12 euros.
Work out the total cost, in pounds, of the flights, the apartment and the car hire.
Solve the system of equations:
y=2x
Y=x^2-3
Answer:
C
Step-by-step explanation:
The two solutions are (-1,-2) and (3,6)
HELPPPPPPPPPPPPPpPppp
Answer:
Answer c..... can i get brainliest ?
Step-by-step explanation:
Just substitute (2,0) in the equation
2 for x
0 for y
A cinema has 300 seats. 60% are filled. How many are empty? i will give brainliest
Answer:
120 seats
Step-by-step explanation:
Total seats in the hall = 300
Percentage of filled seats = 60 %
Number of seats filled = (60 / 100) 300
= 60 * 3
= 180
Therefore, number of empty seats = 300 - 180
= 120
Hope it helps :)
Please mark my answer as the brainliest
Solve the system using substitution.
Y-2x=3
3x – 2y=5
A.(-1/2,2)
B. (2,7)
C. (-8,-13)
D. (-11,-19)
14 is whatpercent of 25
Answer: the answer is 56
Hope this Help
Step-by-step explanation:
100%= 25
X%= 14
100%=25(1)
X% = 14(2)
100%/x% = 25/14
X%/ 100% = 14/25
X=56%
3) In June a gallon of gasoline cost $2.75. In July the price increased to
$2.92. What is the percent of increase of a gallon of gasoline from June to
July? Round to the nearest tenth.
Answer:
6.2%
Step-by-step explanation:
Hard to explain, but easy. Take your new value, and subtract your initial (starting) value from the new value. In this case, it would be 2.95-2.75= 17. You now can take you difference (17) and divide it by the initial value, so 17/2.75. This gives you 6.181818182. Round to 6.2%
State the slope and y-intercept of the graph of y+2x=3
Answer:
Slope(m)=2x
y-intercept(b)=3
Step-by-step explanation:
Answer:
Slope is -2x, Y-Intercept is 3
Step-by-step explanation:
You need to isolate the "y" to get the answer, all you need to do is subtract the "2x" from both sides
Which set of measurements could be the side lengths of a right triangle?
A. {3 in., 5 in., 7 in.}
B. {6 in., 9 in., 12 in.}
C. {8 in., 15 in., 17 in.}
D. {10 in., 20 in., 30 in.}
Answer:
D
Step-by-step explanation:
you simply add the 2 smaller sides, and if their sum equals the bigger side, its correct!
Help please!! Help me with this triangle
Answer:60°
Step-by-step explanation: First, think about the rule of the degrees for all triangles. Angles must equal 180°.
Second, because all angles must equal 180°, see that the triangle given has equal sides (assuming this, because no other measurements are given).
Equilateral triangles have equal angles, meaning 60° for each angle.
T= 3x + 4y
Toe ons
(a) Work out the value of I when x = 5 and y=-7
Note: Consider the dependent variable is T instead of I, and we need to find the value of T when x=5 and y=-7.
Given:
[tex]T=3x+4y[/tex]
To find:
The value of T when x=5 and y=-7.
Solution:
We have,
[tex]T=3x+4y[/tex]
Putting x=5 and y=-7, we get
[tex]T=3(5)+4(-7)[/tex]
[tex]T=15-28[/tex]
[tex]T=-13[/tex]
Therefore, the value of T is -13 when x=5 and y=-7.
Theo earned £15400 last year and spent 6% of his money on making home improvements. Find how much money Theo spent on home improvements last year.
Give your answer to the nearest penny.
Answer:
15400 ÷ 6/100
Step-by-step explanation:
next step do yourself
I hope it will help you
Identify the slope of the line in the graph.
Answer:
-1/2
Step-by-step explanation:
Slope is calculated by rise over run.
In this case, the rise is 1, and the run is -2.
So, the slope is -1/2.
Let me know if this helps!
What is the value of X?
Answer:
[tex]x=45[/tex]
Step-by-step explanation:
Because the outer angles of a parallelogram always add up to [tex]360[/tex]°, the followijg equation can be used:
[tex]3x+x+3x+x=360→8x=360→x=45[/tex]
What is the answer to (a²)(a⁵)(a⁷)
Answer:
The answer would be a^70
Step-by-step explanation:
Hope this helped!! If it is wrong please tell me and I will re-check my answer. :)
answer this question
Did I do it rightly?
Evaluate 2x when x = 4
COULD SOMEONE HELPP
Can you solve the equation?
Answer:
x=3 and 9
Step-by-step explanation:
; x-3=0
x=3 (change side change mark)
and
[tex] \frac{2}{3} x - 6 = 0[/tex]
[tex] \frac{2}{3} x = 6[/tex]
[tex]x = 6 \times \frac{3}{2} [/tex]
change side change mark.
So, x=9
If u wanna check the answer you can check by substitution x=3 and 9 in equation.
hope it helps you ☺️
Solve for x
x = ____
30
45
22.5
Answer:
45
Step-by-step explanation:
x+3x+90=180
4x=180
X=45
A bag contains only red, green, brown and yellow marbles. The probabilities of selecting each colour are shown below. Colour Red Green Brown Yellow Probability 0.2 0.3 x 0.1 Find the probability of selecting a brown marble.
Answer:
0.4
Step-by-step explanation:
Given that:
Probability of :
Red _____Green ___ Brown _____ Yellow
0.2 ______ 0.3 ______ X ________ 0.1
Since the bag contains only red, green, brown and yellow marbles ;
The sum of each color's probability should sum up to 1;
ΣP(x) = 1
Hence,
0.2 + 0.3 + x + 0.1 = 1
0.6 + x = 1
x = 1 - 0.6
x = 0.4
P(brown) = 0.4
1. 6x + 2y = -12
4x + 3y = 7
2. 4x - y = 26
5x - 4y = 8
3. 5x + 3y = 13
17x + 8y = -16
using elimination to solve each system of equations
Answer:
J71763eua8w8w8us
Nakshatra w
Nskd8w8
I2991992
What is the area of the shaded region?
26 km
35 km
Answer:35/2=17.5*26= ?
Step-by-step explanation:
True or false A graph that shows distance per unit of time shows speed. _________
which of the following is NOT a monomial?
a. x-4
b. 22xy
c. 3
d. -11x