which sequence of transformation will map rectangle WXYZ onto its image, rectangle W"X"Y"Z" ?
Answers
Answer:
It is reflected in the y axis followed by a dilation by a factor of 1/2
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
If a point A(x, y) is reflected in the y axis, the new point is at A'(-x, y).
If a point A(x, y) is dilated by a factor of k, the new point would be at A'(kx, ky).
The vertices of rectangle WXYZ is at W(2, 4), X(6, 4), Y(6, 2) and Z(2, 2).
If the rectangle is reflected in the y axis, the new points are W'(-2, 4), X'(-6, 4), Y'(-6, 2) and Z'(-2, 2). If it is then dilated by a factor of 1/2, the new vertices is at W''(-1, 2), X''(-3, 2), Y''(-3, 1) and Z''(-1, 1).
Related Questions
how many subsets can be formed of a set A={a,b}
Answers
Answer:
4
Step-by-step explanation:
(a,a),(a,b),(b,a),(b,b)
A car starts from rest. if the velocity of car become 15m/s after 20s calculate the acceleration of the car.
Answers
Answer:
[tex]0.75 {ms}^{ - 2} [/tex]
Step-by-step explanation:
[tex]acceleration = \frac{velocity}{time} \\ = \frac{15ms ^{ - 1} }{20s} \\ = \frac{3}{4} ms ^{ - 2} \\ = 0.75 {ms}^{ - 2} [/tex]
[tex]\Large\rm{\underbrace{\green{ \: Acceleration \: = \: \ \frac{v}{t} \: }}}[/tex]
V denotes rate of change in Velocityt denotes time taken[tex] \bf \large \implies \: Acceleration \: = \: \frac{15}{20} \\ [/tex]
[tex]\bf \large \implies \: Acceleration \: = \: \cancel\frac{15 \: \small \: m /s }{20 \: s} \: = \: \frac{3}{4} \: m /s ^{ - 1} \\ [/tex]
[tex]\bf \large \implies \: Acceleration \: = \: \cancel\frac{3}{4} \:m /s ^{ - 1} \: = \: 0.75 \: \: m /s ^{ - 1} \\ [/tex]
[tex] \bf \large \implies \: \: Acceleration \: = \: 0.75 \: \: m /s ^{ - 1} \\ [/tex]
0.135 written as a fraction is _____.
27/200
5/37
27/100
Answers
Answer:
27/200
Step-by-step explanation:
To write 0.135 as a fraction you have to write 0.135 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. 0.135 = 0.135/1 = 1.35/10 = 13.5/100 = 135/1000
Answer:
27/200
Step-by-step explanation:
your teacher tried to be tricky.
0.135 is simply 135/1000.
that is how you can express any finite decimal number.
anyway, now, we need to transform that fraction into one of the provided fractions. so, which one fits ?
with experience you see it right away. otherwise by simply trying.
in any case, the first option is the right one.
proof :
27/200 = 135/1000 ?
the denominator is our driver : what factor do I need to turn 200 into 1000 ? right, 5 ! 200×5 = 1000
so, we multiply numerator and denominator by 5 (it is important to do that for both, so that the value of the fraction does not change).
27/200 × 5/5 = (27×5) / (200×5) = 135/1000
and that is the proof. 27/200 is indeed 0.135
Help please urgent 25 point
Answers
Answer:
60
Step-by-step explanation:
b = the hypotenuse of a right angle triangle
a = the adjacent side.
R is being defined by the cosine
cos(R) = adjacent / hypotenuse
adjacent = 16* sqrt(2)
hypotenuse = 32*sqrt(2)
Cos(R) = 16*sqrt(2) / 32*sqrt(2) sqrt(2) cancels.
cos(R) = 1/2
R = cos-1(1/2)
R = 60 degrees.
Find the square root of 7250 by prime factorisation.
Answers
Answer:
The square root of 7250 is 85.15
Step-by-step explanation:
[tex]{ \boxed{ \sf{7250}}} \\ ↓ \div 2 \\ { \boxed{ \sf{3625}}} \\ ↓ \div 5 \\ { \boxed{ \sf{725}}} \\ ↓ \div 5 \\ { \boxed{ \sf{145}}} \\ ↓ \div 5 \\ { \boxed{ \sf{29}}}[/tex]
Find square roots of divisors:
[tex]{ \sf{ = \sqrt{2} \times \sqrt{5 \times 5 \times 5} \times \sqrt{29} }} \\ = { \sf{ \sqrt{2} \times \sqrt{125} \times \sqrt{29} }} \\ = { \sf{85.15}}[/tex]
[tex]{ \underline{ \sf{ \blue{christ \:† \: alone }}}}[/tex]
Which equation below has a slope greater than the slope of the line shown above?
A. y = 2 x + 2
B.y = 3x - 1
C. y = - 3
D. y = 4 + 1.75 x
Answers
Answer:
B.y = 3x - 1
Step-by-step explanation:
Pick two points on the line
(0,1) and (2,5)
The slope using the slope formula
m = (y2-y1)/(x2-x1)
= ( 5-1)/(2-0)
= 4/2
= 2
We want a slope that is greater than 2
The slope intercept form of the equation is
y = mx+b where m is the slope
y = 3x - 1 has a slope of 3 which is greater than 2
Ethan sells e candy bars for $2.50 apiece and Chloe sells c candy bars for $2.00 apiece to raise
money for a school trip. Ethan sold 15 fewer candy bars than Chloe, but he also got a $6.00
donation. If Chloe and Ethan raised the same amount of money, which of the following systems
could be used to find how many candy bars each sold?
Answers
The system that could be used to find how many candy bars each sold is given is option B.
What is the candy bar about?Since Ethan sold 15 fewer candy bars than Chloe, as portrayed in the question, so:
e = C - 15
Based on the fact that Chloe and Ethan raised the same amount of money, the equation will be:
2C: 2.5e + 6
Therefore, The system that could be used to find how many candy bars each sold is given is option B.
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The pair of shoe cost 2500,On the ocation of Dashain its cost 2000,how much discount does buyer get?
plz help
Answers
Total Cost Of Shoe=2500
Totall discount Cost=2000
= 2500-2000
=500
assume abc=def. if ab=5, ac=9 and ef=7, what is the length of bc?
Answers
Answer:
bc= 7
Step-by-step explanation:
I really need these answered!
Answers
Answer:
Step-by-step explanation:
#1) [tex]\arcsin \left(0.64958\right)=0.70703\dots \quad \begin{pmatrix}\mathrm{Degrees:}&40.51^{\circ \:}\end{pmatrix}[/tex]
∡C =62.49
[tex]\frac{\left(\sin \left(27^{\circ \:}\right)\right)}{3}=\frac{\sin \left(54^{\circ \:}\right)}{x}\quad :\quad x=\frac{3\left(\sqrt{5}+1\right)}{\sin \left(27^{\circ \:}\right)\cdot \:4}\quad \left(\mathrm{Decimal}:\quad x=5.34603\dots \right)[/tex]
use the prime factors of 3136 and 2744 to evaluate:✓3136/3✓2744
Answers
Answer:
3136 = 2^6 × 7^2
2744 = 2^3 x 7^3
✓3136/3✓2744 = ✓(2^6 × 7^2)/3✓(2^3 x 7^3) = (2^3 x 7)/3 x 14(✓14) = 56/42✓14 =4/3✓14
Monica took a survey of her classmates' hair and eye color. The results are in the table below.
What is the conditional relative frequency that a participant has red hair, given that he/she has green eyes.
0.5
0.13
5
0.38
Answers
Answer:
let R represent red hair
let G represent green eyes
from Baye's theorem:
[tex]P( \frac{R}{G} ) = \frac{P(RnG)}{P(G)} [/tex]
P(RnG) = 5
[tex]P(G) = { \sum}(green \: hair) \\ = (3 + 5 + 5) \\ = 13[/tex]
Therefore:
[tex]P( \frac{R}{G} ) = \frac{5}{13} \\ = 0.385[/tex]
The conditional relative frequency = 0.385
The conditional relative frequency will be 0.385
What is Baye's theorem?It is a theorem showing how to compute the conditional probability of each of a set of possible causes for a given observed outcome using knowledge about the probability of each cause and the conditional probability of each cause's outcome.
let R represent red hair
let G represent green eyes
from Baye's theorem:
[tex]P=\dfrac{R}{G}=\dfrac{P(R\cap G)}{P(G)}[/tex]
P(RnG) = 5
P(G) = ∑(Green hairs)
P(G)= 13+5+5 = 13
Therefore:
[tex]P(\dfrac{R}{G})= \dfrac{5}{13}=0.385[/tex]
The conditional relative frequency = 0.385
Hence the conditional relative frequency will be 0.385
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what is the answer to -3/7 x -1 2/3
Answers
Answer:
-9x-35/21
Step-by-step explanation:
Answer:
[tex]\frac{5}{7}[/tex]
Step-by-step explanation:
[tex]\frac{-3}{7}* (-1\frac{2}{3})=\frac{-3}{7}*\frac{-5}{3}\\\\= \frac{5}{7}[/tex]
HELP PLEASE 100 POINTS
Answers
Answer:
Step-by-step explanation:
That's an awful lot of points. You don't have to give that many. 10 or 15 points would be more than enough.
The graph touches the x axis at 1 point. That means its basic formula is y = (x - a)^2
Since it upside down, the formula is y = -(x - a)^2. A couple of other things are true.
a = 1 because that's where the graph touches the x axis. y = - x^2 has shifted 1 unit to the right.
Finally the y intercept is -4 which means that the final equation is y = -4(x-1)^2
That's all preliminary. The actual question is, what does the discriminate look like?
y = -4(x^2 - 2x + 1)
y = -4x^2 + 8x - 4
a = - 4
b = 8
c = - 4
sqrt(b^2 - 4ac)
sqrt(8^2 - 4(-4)(-4) )
sqrt(64 - 64) = 0
The answer is the third one. The answer will always be 0 when the graph touches the x axis and does not go through it.
8x+4=3(x-1) +7 solve
Answers
Answer:
x = 0
Step-by-step explanation:
8x + 4 = 3(x − 1) + 7
Simplify both sides of the equation:
8x + 4 = (3)(x)+ (3)(−1) + 7
8x + 4 = 3x + (−3) +7
Combine like terms:
8x + 4 = (3x) + (−3+7)
8x + 4 = 3x + 4
Subtract 3x from both sides:
8x + 4 − 3x = 3x + 4 − 3x
5x + 4 = 4
Subtract 4 from both sides:
5x + 4 − 4 = 4 − 4
5x =0
Divide both sides by 5:
5x/5 = 0/5
x = 0
HELP!!!
I need to know if this is Function or not a function.
Answers
Answer:
Not a function
Step-by-step explanation:
Since x = 1 produces y = 3 and y = 4 , the relation is not a function.
( − 2 , − 5) , ( − 1 , − 3 ) , ( 0 , 0 ) , ( 1 , 3 ) , ( 1 , 4 )
The domain cannot be the same value.
Penny attended a four year state college. She took out a student loan to pay for her tuition and room & board for the four years she was attending the college. Her tuition fees were $6,970 per year, and the cost of her room and board was $11,320 per year. Now that she has graduated, she will have to start paying back her loan. Fortunately, Penny has a grace period of one year before she has to start paying back the loan. Her loan details are as follows: there is a fixed-rate interest of 4.5% and the interest compounds each month. During her one year grace period, interest will accrue on the loan, so that when she has to start paying the loan back she will owe more than what she owes now. Her goal is to be able to payoff the loan in 10 years.
Given all of this information, answer the following questions:
1. What is the original loan amount, i.e. how much were the total costs for tuition plus room & board for the four years that Penny attended the college?
2. What is the new loan amount after the one-year grace period (remember that interest will accrue on the loan during this initial 12-month period that she is not paying anything back on the loan)? This is the amount that she will be responsible for paying back. (Round your answer to the nearest whole dollar)
3. Given that she can pay back the loan in full after 10 years of payments, what is the total amount she will end up paying back (both principal and interest that has accrued over the 10 years)? And how much will her monthly payments on the loan be for those 10 years? (Round your answers to the nearest whole dollar)
Answers
Answer:
27,880 for tutitions + 45,280 for room and board= 73,160 total
Please help! Thank you.
Answers
Answer:
B
Step-by-step explanation:
x((7/2)-(7/3))=y+x
x(7/6)=y+x
7x=6y+6x, x=6y. y/x=1/6
which has a steeper slope y-1/2x or y=2/3x?
Answers
Answer:
y=2/3x
Step-by-step explanation:
2/3 is greater than 1/2. It doesn't matter if one of the slopes are negative.
Help me please Will give brainlist
Answers
Answer:
Step-by-step explanation:
These are geometric means problems. In the top one, a is the geometric mean as the height for both the smaller triangles inside the big one. Therefore,
[tex]\frac{4}{a} =\frac{a}{25\\}\\a^2=100\\a=10[/tex]
The next one has the geometric mean of b, being a part of the smaller triangle on the left and the big triangle as a whole:
[tex]\frac{4}{b} =\frac{b}{29}\\b^2=116\\b=10.77[/tex]
Tyrone measured the floor of his rectangular storage unit. It is 3 feet wide and 8 feet from one corner to the opposite corner. How long is the storage unit? If necessary, round to the nearest tenth.
Answers
Answer:
Rounded to the nearest tenth, 7.4 feet long.
Step-by-step explanation:
Tyrone has a rectangular storage unit. We are given the width and the diagonal length.
So we can use Pythagorean Theorem.
3^2 + b^2 = 8^2
9 + b^2 = 64
subtract 9 from both sides
b^2 = 55
b = sqrt55
b is around 7.4161984871, so b rounded to the nearest tenth is 7.4 feet long.
(52)-1 + 5÷1
Answer please..
Answers
Answer:
I believe this might be the answer 52 − 1 + 5/1= 56
Answer:
56
Step-by-step explanation:
hope it helps ^^.
help me please it's important!!
Answers
Answer:
Does the answer help you?
Answer:
102 cm³
Step-by-step explanation:
Volume of R1:
length = 7 cm
Width = 3 cm
Height = 2 cm
Volume = 7* 3 * 2 = 42 cm³
Volume of R2:
length = 5 cm
Width = 4 cm
Height = 3 cm
Volume = 5 * 4 * 3= 60 cm³
Volume of the figure = 42 + 60 = 102 cm³
equation of the line which passes through point (0,5) at gradient of - 1
Answers
Answer:
y = - x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here gradient (slope) = - 1 and (0, 5) ⇒ c = 5
y = - x + 5 ← equation of line
What is the congruence correspondence, if any, that will prove the given triangles congruent?
multiple choices on pic
Answers
Answer:
Option: CStep-by-step explanation:
As marked,
In triangle WKQ. In triangle MQK
WK. = MQ. (Given)
WQ. = MK. (Given)
KQ. = KQ. (Common side)
Hence,
As three sides of a triangle are equal so they will be proved by SSS Congruence Condition.
5.
Krishna got on an elevator on the 12" floor and went up 3 floors. If he then went down 8 floors,
what floor is krishna now on?
Answers
Answer:
Krishna is at the 7th floor
Step-by-step explanation:
Given
[tex]Start = 12[/tex]
[tex]Up = 3[/tex]
[tex]Down = 8[/tex]
Required
The current floor
This is calculated as:
[tex]Floor = Start + Up - Down[/tex]
[tex]Floor = 12 + 3 - 8[/tex]
[tex]Floor = 7[/tex]
(PLEASE HELP ASAP I REALLY DON’T UNDERSTAND THIS PLEASE EXPLAIN)
Answers
Answer:
Intergers
Step-by-step explanation:
A subset is a part of a whole math concept, idea, or sample space.
We need to find what math concept -5 is apart of.
-5 is part of the All Real Numbers section.
-5 is also part of integers as well.
Given that E=MC find E when M=20 and C =2.5
Answers
Answer:
50 or 125
Step-by-step explanation:
if u want E=MC then it would be 20 ×2.5=50
OR
if u what to find E=MC² then it would be 20×2.5×2.5 =125
ACCORDING TO ME THIS SHOULD BE THE ANSWER, BUT NOT QUITE SURE ABOUT THIS.
Answer:
E = 50
Step-by-step explanation:
If M=20 and C=2.5, replace the letters in the equation with their numerical values so E=20*2.5
20*2.5 = 50
thus E=50
The distance AB rounded to the nearest tenth = [?]
Answers
Answer:
4.5 units
Step-by-step explanation:
Use the distance formula
[tex]\sqrt{(-1-3)^{2}+(-1-1)^{2} }[/tex]
[tex]\sqrt{16+4}=\sqrt{20}[/tex]
The distance AB on the diagram rounded to the nearest tenth is: 4.5 units
Meaning of DistanceDistance can me defined as a measure that tells us how far apart two objects or individual are to each other.
Distance is very important as it helps us know where exactly things are located and whether they are close or far apart
In conclusion, The distance AB on the diagram rounded to the nearest tenth is: 4.5 units
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x^2= 14x +11
------------
Answers
Answer:
[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]
Step-by-step explanation:
[tex]x^{2} =14x+11[/tex]
[tex]x^{2} -14x-11=0[/tex]
[tex]x\frac{-b\pm\sqrt{b^{2} -4ac} }{2(a)}[/tex]
[tex]x=\frac{14\pm\sqrt{(-14)^{2} -4(1)(-11)} }{2(1)}[/tex]
[tex]x=\frac{14\pm\sqrt{240} }{2}[/tex]
[tex]x=\frac{14\pm4\sqrt{15} }{2}[/tex]
[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]
------------------------
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-----------------------
Answer:
Solution given:
x²=14x+11
keeping all term on same side
x²-14x-11=0
trying to make it a perfect square
x²-2*7*x+7²-7²-11=0
By using formula of (x-y)²=x²-2xy+y²we get
(x-7)²-60=0
keeping 60 in right side
(x-7)²=60
doing square root on both side
[tex]\frac{(x-7)²}=\sqrt{60}[/tex]
we get
x-7=[tex]\sqrt{5*3*2*2}[/tex]
x-7=±2[tex]\sqrt{15}[/tex]
So
x=7±2[tex]\sqrt{15}[/tex]
Either
x=7+2[tex]\sqrt{15}[/tex]or
x=7-2[tex]\sqrt{15}[/tex]