Triangle A″B″C″ is formed by a reflection over y = −3 and dilation by a scale factor of 2 from the origin. Which equation shows the correct relationship between ΔABC and ΔA″B″C″? coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3
Answers
Answer:
Option (3)
Step-by-step explanation:
This question is not complete; here is the complete question.
Triangle A″B″C″ is formed by a reflection over y = −3 and dilation by a scale factor of 2 from the origin. Which equation shows the correct relationship between ΔABC and ΔA″B″C″?
Coordinates of the vertices of the triangle ABC are,
A(-3, 3), B(1, -3) and C(-3, -3)
When triangle ABC is reflected over y = -3
Coordinates of the image triangle A'B'C' will be.
A(-3, 3) → A'(-3, -9)
B(1, -3) → B'(1, -3)
C(-3, -3) → C'(-3, -3)
Further ΔA'B'C' is dilated by a scale factor of 2 about the origin then the new vertices of image triangle A"B"C" will be,
Rule for the dilation will be,
(x, y) → (kx, ky) [where 'k' is the scale factor]
A'(-3, -9) → A"(-6, -18)
B'(1, -3) → B"(2, -6)
C'(-3, -3) → C"(-6, -6)
Length of AB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
= [tex]\sqrt{(-3-1)^2+(3+3)^2}[/tex]
= [tex]\sqrt{52}[/tex]
= [tex]2\sqrt{13}[/tex]
Length of A"B" = [tex]\sqrt{(-6-2)^2+(-18+6)^2}[/tex]
= [tex]\sqrt{64+144}[/tex]
= [tex]\sqrt{208}[/tex]
= [tex]4\sqrt{13}[/tex]
Therefore, [tex]\frac{\text{AB}}{\text{A"B"}}=\frac{2\sqrt{13}}{4\sqrt{13}}[/tex]
[tex]\frac{\text{AB}}{\text{A"B"}}=\frac{\sqrt{13}}{2\sqrt{13}}[/tex]
[tex]AB(2\sqrt{13})=A"B"(\sqrt{13})[/tex]
Option (3) is the answer.
Related Questions
Help me out please i need this
Answers
Answer:
Just restart your computer
Write the event as set of outcomes. When we roll two dice, the total showing is eight.
A. {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)}
B. {(2, 6), (3, 5), (4, 4)}
C. {(2, 6), (3, 5), (5, 3), (6, 2)}
D. {(1, 7), (2, 6), (3, 5), (4, 4), (5, 3), (6, 2), (7, 1)}
Answers
Explanation:
We simply list each possible choice in the form (x,y) where x is the result of the first die and y is the result of the second die.
The sum must be 8 so x+y = 8.
Choice A is the complete list showing all possible sums of 8.
Choice B is missing (5,3) and (6,2).
Choice C is missing (4,4)
Choice D shows (1,7), but 7 isn't a valid roll of a six-sided die.
10 points :) Graph this for me :P
Answers
Answer:
-2≤x≤2 f(x)=[x+3]
first the sign is ≤ it means the point is solid point and the interval is x+3
Write an expression for the shaded area
Answers
Answer:
4x(x+2) - x(3x+5)
Step-by-step explanation:
the area of the whole box is 4x(x+2)
to find the area of the shaded portion you have to subtract the area of the tiny box from the big box
the area of the tiny box is x(3x+5)
so, 4x(x+2) - x(3x+5) is the expression you can use to find the area of the shaded portion
Can someone help me on this math question its confusing ill give brainly when right!!!
Answers
Answer:
-0.5 > -7/11
Step-by-step explanation:
-7/11 = -0.636
-0.5>0.6
which phrase matches the algebraic expression bellow? 2(x+7)+10
Answers
Answer:
i think your answer is two times the sum of x and seven plus ten
if i am wrong than tell me
Step-by-step explanation:
hope this will help :)
Factor - 3x - 28
ax² + bxtc
Identify the values that should be written to
complete the X diagram.
On the top:
On the bottom:
On the sides
ас
Rewrite the expression using the numbers on the
sides of the X diagram.
Use double grouping to factor the four terms.
x2 – 3x – 28
Answers
x2 – 3x – 28 = (x-7)(x+4)
Answer:
On the top:-28
On the bottom: -3
On the sides: -7 and 4
X2-3x-28=(x-7)(x+4)
Step-by-step explanation: I got it correct on Edge
PPPPlease help meeee!
Answers
Answer:
A
Step-by-step explanation:
Since the theta is in second quadrant, x will be negative and y positive. cos(theta)=-2/sqrt(29)=B/H, the base is 2 and H=sqrt(29). The perpendicular is 5.
Find f(g(−1)). f(g(−1)) =
Answers
Answer:-6
Step-by-step explanation:it j told me the answer haha
Answer:
64
Step-by-step explanation:
(a/b)^x-1 = (b/a)^x-3
Answers
Answer:
x = 2
Step-by-step explanation:
The heights of two similar parallelograms are 16 inches and 20 inches. Their
respective areas are (3x+5) square inches and 9x square inches. Find the value of
X?
Answers
Answer: [tex]x=\dfrac{25}{21}[/tex]
Step-by-step explanation:
Area of parallelogram = Base x height
If two parallelograms are similar, then their corresponding sides are proportional.
That means, [tex]\dfrac{\text{Area of first parallleogram}}{\text{Area of second parallleogram}}=\dfrac{\text{height of first parallelogram}}{\text{height of second parallelogram}}[/tex]
[tex]\Rightarrow \dfrac{3x+5}{9x}=\dfrac{16}{20}\Rightarrow \dfrac{3x+5}{9x}=\dfrac{4}{5}\\\\\Rightarrow 5(3x+5)=4(9x)\\\\\Rightarrow\ 15x+25 = 36x\\\\\Rightarrow\ 36x-15x=25\\\\\Rightarrow\ 21x = 25\\\\\Rightarrow\ x=\dfrac{25}{21}[/tex]
Hence, [tex]x=\dfrac{25}{21}[/tex]
round 12.1975 to the nearest thousandth.
Answers
Answer:
12.198
Step-by-step explanation:
the thousandth is the third digit after the decimal point, so you round the next number after it, which is 5. so you round it up, ends with 12.198
We get 12.198 after rounding it to the nearest thousandth.
How to round off decimal places?The rounding off decimal places is similar to the basic round-off. We check the previous number. If it is greater than or equal to 5, we increase the value up to which we are rounding by 1, or else keep it the same when the previous digit is less than 5.
The order of digits for decimal places is opposite to the normal number system.
In the number system we have units place, then tens place, then hundreds place, then thousands place, and like that.
In the decimal number system, we start from the highest and go on decreasing.
The first decimal place is the tenth place.
The second decimal place is the hundredth place.
The third decimal place is the thousandth place.
And so on.
How to solve the question?In the question, we are asked to round 12.1975 to the nearest thousandth.
As discussed above, the nearest thousandth means rounding off up to the third decimal place.
So we round off 12.1975 up to the third decimal place, that is, we round off up to 7.
The next digit is 5, so we increase 7 by 1 to 8.
Thus, we get 12.198 after rounding it to the nearest thousandth.
Learn more about rounding off decimal places at
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Marry can read 22 pgs in 30mins .How long wud it take her to read a 100 page book??write your answer in hours and minutes and round it to the nearest minute??
Answers
Step-by-step explanation:
This is a proportions problem:This is a proportions problem: This is a proportions problem: 22 pages → 30 minutesThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutesThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutes This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/xThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x ThenThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x Then This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x Then x = (100/22)(30) minutes = 136.4 minutes.If two functions, f(x) and g(x), are inverse of each other, then the:
(select all that apply)
- range of f(x) is the same as the domain of g(x)
-domain of f(x) is the same as the domain of g(x)
-domain of f(x) is the same as the range of g(x)
- range of f(x) is the same as the range of g(x)
Answers
Answer: assuming g(x) is the inverse of f(x)
domain of g(x) = range of f(x)
range of g(x) = domain of f(x)
how many are 9 raised to 2 ???
Answers
Answer:
[tex]\boxed{81}[/tex]
Step-by-step explanation:
9 raised to 2 is
=> [tex]9^2[/tex]
=> 9 * 9
=> 81
Simplify.
2(x+2) - 4x
Answers
Answer:
-2x+4
Step-by-step explanation:
2(x+2) - 4x
Distribute
2x+4 - 4x
Combine like terms
-2x+4
Answer:
-2x+4
Step-by-step explanation:
2(x+2)-4x
(2x+4)-4x
2x+4-4x
-2x+4
ACME Hardware is introducing a new product called Greener Cleaner. Complete the table by finding the cost per milliliter for each size based on the sales price. One liter is 1,000 milliliters. (Answer the questions too, please!)
Answers
Answer:
Step-by-step explanation:
a). 'Per ml' cost of the small size = [tex]\frac{\text{Sale price of small cane}}{\text{Amount of liquid}}[/tex]
= [tex]\frac{4.50}{250}[/tex]
= $0.018
'Per ml' cost of the medium size = [tex]\frac{\text{Sale price of medium cane}}{\text{Amount of liquid}}[/tex]
= [tex]\frac{9.95}{500}[/tex]
= $0.0199
'Per ml' cost of the large size = [tex]\frac{\text{Sale price of large cane}}{\text{Amount of liquid}}[/tex]
= [tex]\frac{16.95}{1000}[/tex]
= $0.01695
Therefore, expression to compare per ml cost of three containers will be,
$0.0199 > $0.018 > $0.01695
b). Least expensive way to buy the cleaner is to choose the container with least per ml cost.
Cost of 1500 ml cleaner = Cost of 1000 ml cleaner + Cost of 500 ml of cleaner
= Cost of 1000 ml cleaner container + Cost of 'n' containers of 250 ml container
Total cost of 1500 ml = $16.95 + $4.50n
= 16.95 + 2(4.5) [For n = 2]
= $25.95
c). Most expensive way to purchase 1500 ml cleaner is to choose the most expensive cleaners
Cost of 1500 ml cleaner = Cost of 'n' containers of medium size containers
= 9.95(n)
= 9.95(3)
= $29.85
plz do this all plz
Answers
Answer:
I don't know search it up I picked B
okay it's 5 and I'm
find the surface area of the prism.
Answers
Step-by-step explanation:
area of the base is the area of the rectangle 5×12.
B = 5×12 = 60 in²
the height h is then the side going up from that base rectangle : 4 in.
the perimeter of the base (rectangle) is 2×length + 2×width
P = 2×12 + 2×5 = 24 + 10 = 34 in.
Simplify to create an equivalent expression. 8-4(-x+5)
Answers
Answer:= -12+4x
Step-by-step explanation:
Distribute -4 through the parentheses
8+4x=20
Calculate the difference
-12+4x
The temperature at 9:00 a.m. was 4°C. At 7:00 p.m., the temperature
was -12°C. What was the change in temperature (in degrees Celsius)?
�� 8-degree decrease
�� 16-degree decrease
�� 8-degree increase
�� 16-degree increase
Answers
Answer:
16-degree decrease
Step-by-step explanation:
Take the final temperature of -12 and subtract the initial temperature of 4
-12 - 4
-16
The change in temperature is 16 degrees
The minus sign tells us it was a decrease
Answer:
i think 16 degree decrease
Step-by-step explanation:
sorry if im wrong i tried to help
Answer it please ↓↓
Fubuki drives 18.4 miles in 16 minutes. He passes a sign which gives the speed limit as 60 mph. By how much, in mph, did Fubuki's average speed exceed the speed limit?
Answers
Step-by-step explanation:
hope this helps to u......
Combine your expressions from part E (x+2) and part F (y+ (-4) to give the pair of coordinates of any point after a translation two yards East and four yards south.
Answers
Answer:
A'(5, 2), B'(5, -1), C'(6, -1), D'(6, 2)
Step-by-step explanation:
A transformation is the movement of a point from its initial position to a final position. If an object is transformed all its points are also transformed. Types of transformation are reflection, rotation, translation and dilation.
If a point O(x, y) is translated left by h unit, the new coordinate is O'(x-h, y) while if O(x, y) is translated right by h unit the new coordinate is O'(x+h, y)
If a point O(x, y) is translated up by h unit, the new coordinate is O'(x, y+h) while if O(x, y) is translated down by h unit the new coordinate is O'(x, y-h)
The location of the shape as shown in the diagram is:
A(3, 6), B(3, 3), C(4, 3), D(4, 6)
If the points are translated two yards East and four yards south, it means it is translated 2 unit right and 4 unit down i.e. (x+2, y-4). The new coordinates are:
A'(5, 2), B'(5, -1), C'(6, -1), D'(6, 2)
Answer:
ombining the expressions from parts E and F, for any given initial point (x, y), the coordinates of the new point after a translation of two yards east and four yards south are (x + 2, y + (-4)).
Step-by-step explanation:
this is more simple
Colin found 22 more mushrooms than Sophie did while they were out picking them in the forest. On the way home, Sophie asked Colin to give her some mushrooms so that they would have equal amounts. How many mushrooms should Colin give to Sophie?
Answers
Answer:
11 mushrooms
Step-by-step explanation:
If Colin has 22 more mushrooms than Sophie, then Sofie has 22 less. Half of 22 is 11, so Colin should have 11 less, and Sophie should have 11 more. If you plug a random value into Sophie's mushrooms, this should still work. For example, if Sophie has 2 mushrooms and Colin has 24, they'll both have 13.
PLEASE ANSWER QUICKLY ASAP
READ QUESTIONS CAREFULLY
Answers
Answer:
Increase in profit = 531.52
Step-by-step explanation:
I'll take your word for it.
What you'd need to do for each kind of pizza and price, multiply the number sold and profit/loss for each, and add them up.
Calculations have been tabulated and shown in the attached diagram.
Answer
Increase in profit
= 2221.88 - 1690.36
= 531.52
Triangle H N K is shown. Angle H N K is 90 degrees. The length of hypotenuse H K is n, the length of H N is 12, and the length of N K is 6. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the value of n to the nearest whole number? 10 13 18 21
Answers
Answer:
13
Step-by-step explanation:
From the question, we are given a triangle HNK with an angle of 90°
The length of hypotenuse H K is n,
the length of HN is 12
the length of N K is 6.
From the above values, obtained in the question, we can see that this is a right angled triangle.
We are asked to find the length of the hypotenuse.
We can use Pythagoras Theorem of solve for this.
c² = a² + b²
where c = HK = n
a = NK = 6
b = HN = 12
c² = 6² + 12²
c² = 36 + 144
c² = 180
c = √180
c = 13.416407865
Approximately to the nearest whole number = 13
Therefore the value of HK = n = 13
We can also use Law of Cosines as given in the question to solve for this.
a² = b² + c² - 2ac × Cos A
where c = HK = n
a = NK = 6
b = HN = 12
Hence
c² = a² + b² - 2ab × Cos C
c = √ (a² + b² - 2ab × Cos C)
Where C = 90
c = √ 6² + 12² - 2 × 6 × 12 × Cos 90
c = 13.42
Approximately to the nearest whole number ≈ 13
Therefore the value of HK = n = 13
Answer:
B) 22 units
Step-by-step explanation:
edge 2020 :)
2. Which of the following number is divisible by 6?
O. A. 672
O B. 813
O C. 7312
O D. 1234
Answers
Answer:
A - 672
Step-by-step explanation:
Any number divisible by both 3 and 2 is divisible by 6.
which stystem of inequalities is graphed below
Answers
Step-by-step explanation:
It's answer D.
THe original plot of x^2 has it top point in the (0,0) so in the centre of the system.
There is a coloured surface just inside the first plot x^2 -4 and also just inside the second one x^2 +6
y is inversely proportional to x². When x=4, y=7.5 Find y when x=5 (i also forgot the symbol for directly and inversely proportional and i'm pretty sure there is one)
Answers
Answer:
y = 4.8
Step-by-step explanation:
Given that y is inversely proportional to x² then the equation relating them is
y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of proportion
To find k use the condition when x = 4, y = 7.5 , then
7.5 = [tex]\frac{k}{4^2}[/tex] = [tex]\frac{k}{16}[/tex] ( multiply both sides by 16 )
k = 16 × 7.5 = 120
y = [tex]\frac{120}{x^2}[/tex] ← equation of proportion
When x = 5 , then
y = [tex]\frac{120}{5^2}[/tex] = [tex]\frac{120}{25}[/tex] = 4.8
What is the quotient ? -4 /5 divide 2 A . - 1 3/5 B . -2 /5 c. 1/2 D . 1 3/ 5
Answers
Answer:
[tex] \boxed{ - \frac{2}{5} }[/tex]Option B is the correct option.
Step-by-step explanation:
[tex] \mathrm{ - \frac{4}{5} \div 2}[/tex]
[tex] \mathrm{dividing \: a \: negative \: and \: a \: positive \: equals \: a \: negative \:. \: ( - ) \div ( + ) = ( - )}[/tex]
[tex] \mathrm{ - \frac{4}{5} \div 2}[/tex]
[tex] \mathrm{dividing \: is \: equivalent \: to \: multiplying \: with \: the \: reciprocal}[/tex]
[tex] \mathrm{ - \frac{4}{5} \times \frac{1}{2} }[/tex]
[tex] \mathrm{reduce \: the \: numbers \: with \: G.C.F \: 2}[/tex]
[tex] \mathrm{ - \frac{2}{5} }[/tex]
Hope I helped!
Best regards!
The quotient of -4 /5 divide 2 would be equal to -2/5 in simplified form.
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number. We can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.
We have been given that -4 /5 divide 2
Thus, we have to divide the terms as;
-4 /5 ÷ 2
Therefore, -4 /5 x 1/ 2
-2/5
Hence, the quotient of -4 /5 divide 2 would be equal to -2/5 in simplified form.
Learn more about the quotient;
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