The vertices of triangle A''B''C'' are A''(-2, -1), B''(-7, 4), and C''(2, 3).
Thus, option (D) is correct.
1. Translation: The original triangle ABC is translated 2 units to the right and 3 units down to form triangle A'B'C'.
To translate a point (x, y) by (a, b), the new coordinates become
(x + a, y + b).
The coordinates of A' would be:
A' = (-3 + 2, 1 - 3) = (-1, -2)
The coordinates of B' would be:
B' = (2 + 2, -4 - 3) = (4, -7)
The coordinates of C' would be:
C' = (1 + 2, 5 - 3) = (3, 2)
2. Reflection over y = x:
Triangle A'B'C' is reflected over the line y = x to form triangle A''B''C''.
To reflect a point (x, y) over the line y = x, the new coordinates become (y, x).
The coordinates of A'' would be:
A'' = (-2, -1)
The coordinates of B'' would be:
B'' = (-7, 4)
The coordinates of C'' would be:
C'' = (2, 3)
Therefore, the vertices are A''(-2, -1), B''(-7, 4), and C''(2, 3).
Thus, option (D) is correct.
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Which expression is equivalent to -8(k+2) ?
50 Points please help!!
A motorized float in a Thanksgiving Day parade is traveling north at a speed of 16.0 km/h. Part of a "Pilgrim" woman's role in the thematic vignette is to walk across the float to call the men to dinner. She walks at a speed of 3.22 km/h east as the float passes the judge's booth, which is on the west side of the street. What is the woman's velocity with respect to the judge?
Answer:
16.32 N11.38°E km/h
Step-by-step explanation:
16.0∠0° +3.22∠90° ⇒ (x, y) = (3.22, 16.0) ⇒ (r, θ) =
(3.22, 16.0) ⇒ (r, θ) = (√(3.22² +16²), arctan(3.22/16)*) = (16.32, 11.38°)
The woman's velocity is 16.32 km/h in a direction that is 11.38° east of north.
_____
This is her velocity in any stationary frame of reference.
____
* We have used North as the reference for the angle, measured CW.
Which expression has the same value as 4÷25?
Answer:
We need the choices, since there are plenty equations with the same value.
Step-by-step explanation:
4/25=0.16
Whichever equation equals 0.16 is your answer.
Adam's family went out to lunch yesterday and their meal cost $32.85 total.
If they plan to leave a 20% gratuity, how much tip should they leave?
$3.29
O $6.57
O $26:28
$39.42
Answer:
$6.57
Step-by-step explanation:
Answer:
6.57
Step-by-step explanation:
Solve for a.
ab + c= d.
Answer:
a=d-c/b
Step-by-step explanation:
If an hourglass takes an average of 1 hour to empty a full cycle, what probability of time does it take longer than 72 minutes if the standard deviation is 5 minutes? (Make sure to use a percentage!)
Answer:
0.82%
Step-by-step explanation:
First find the z-score.
z = (x − μ) / σ
z = (72 − 60) / 5
z = 2.4
Use a chart or calculator to find the probability.
P(Z > 2.4) = 1 − P(Z < 2.4)
P(Z > 2.4) = 1 − 0.9918
P(Z > 2.4) = 0.0082
Hence, the probability of time does it take longer than [tex]72[/tex] minutes if the standard deviation is [tex]5[/tex] minutes is [tex]0.82[/tex]%.
What is the probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Here given that,
If an hourglass takes an average of one hour to empty a full cycle.
Now, First find the z-score.
[tex]z = (x-[/tex] μ[tex])[/tex]/σ
[tex]z = \frac{72 - 60}{5}\\z = 2.4[/tex]
Now, using the calculator to find out the probability.
[tex]P(Z > 2.4) = 1 - P(Z < 2.4)\\\\P(Z > 2.4) = 1 - 0.9918\\\\P(Z > 2.4) = 0.0082[/tex]
Thus,
[tex]0.0082(100)=0.82[/tex]%
Hence, the probability of time does it take longer than [tex]72[/tex] minutes if the standard deviation is [tex]5[/tex] minutes is [tex]0.82[/tex]%.
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Is 48.4 closest to 49 on a number line
Answer:
if there are any less than 4.84 then yes it is.
Step-by-step explanation:
please give brainliest and hope this helps
-30/3+-5 i need help with this for math class.
Answer:
-15
Step-by-step explanation:
-30/3 = Negative thirty divided by three equals Negative Ten.
Negative ten plus negative five equals Negative Fifteen
Answer:
is -15
Step-by-step explanation:
-30/3+-5 =
-10 + (-5) =
-15
What is 3.5* 0.2
Could you help
Answer:
0.7
Step-by-step explanation:
3.5 × 0.2 = 0.7
It is is hard to show work for this through text
Answer:
.7
Step-by-step explanation:
1' 3.5
* .2
_____
. 7 0
Hope this helped :P
Idk why but I need an image answer for this...
8.25
x6.75
Answer: 55.6875
Step-by-step explanation:
Answer:
8.25
x6.75
Step-by-step explanation:
55.6875
Help! Please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
transitive property of equality
Step-by-step explanation:
if a=b and b=c then a=c
What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?
Answer:
2
Step-by-step explanation:
-2x+y=-7
Take the -2x and put it on the other side of the equation by changing the sign
y=-7+2x
Now put it in y intecpet form by putting the 2x first
y=2x-7
Slope is the number before the x.
so 2
Now knowing that parallel lines always have the same slope the answer is 2
In a cinema theatre, why do we normally not hear echoes even though the sounds are loud?
Answer:
An echo is formed as a result of reflection of the original sound which returns to the listener. You might have experienced Echo in an EMPTY ROOM but no echo is produced after the room is occupied. To avoid echo from being produced the echo has to be absorbed. Echo in a cinema theatre is absorbed by the WALLS of the theatre.
They are not plain. The walls are corrugated or shaped to form tiny holes or empty spaces to ABSORB the ECHO. Modern Theatre's have ABSORBENT materials sticked to the walls of the theatre.
An echo is an unpleasant sound heard after a produced sound got reflected from a plain surface. It is majorly eliminated in a cinema theater by:
the use of sound absorbing materials in the construction of the wallsabsorption of sound waves by the body and cloths of viewers
Echo is a sound produced due to the reflection of a produced sound by a plain surface. Its continuous occurrence leads to reverberation. It causes distortion of produced sound which makes it unpleasant to hearing. Thus the need for a mechanism which would reduce it to a bearable level.
To reduce or eliminate echo, the walls of the cinema theater had been constructed with sound absorbing materials which may include special pads. These would have been incorporated into the walls, and would absorb most unwanted sounds produced in the theater.
Also the cloths worn by viewers absorbs some of the unwanted sound, thus assisting to indirectly reduce echo.
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sorry if you can’t see BUT PLEASE HELP IM TIMED AND MY TEACHER IS GOIGN TO SUBMIT IT PLS ANSWER ONE BY ONE
Answer:
7.) a. 84 hundredths
8.) 6(.36)= 2.16 meters
9.) 9.40÷4= 2.34 meters
I cant see 10 clearly
11.) No because if you multiply 2×4 you get 8 so .814 wouldn't be reasonable
is the following relation a function?
Х Y
-1 -2
2 3
3 1
6 -2
0 Yes
O No
Answer:
yes
Step-by-step explanation:
each x-value has only one y-value
just need the answers for these 3 questions please, and how to do them (:
Answer:
a) 7
b)64
c)2
Step-by-step explanation:
look at images
Answer:
x = 2
Step-by-step explanation:
The topic here is "fractional exponents."
Review: 2^3 = 8 (this is the cube of 2), and so the inverse function is
8^(1/3) = 2 ("8 raised to the fractional exponent 1/3 is 2"
Question a) 49^(1/2) ("49 to the power 1/2") can be rewritten as
(7^2)^(1/2), which simplifies to 7^(2*1/2) = 7^1 = 7
Caution: this is exponentiation, not division. So 49^(1/2) does not equal 49/2.
Question b) ( )^(1/3) = 4
I would prefer to write this as x^(1/3) = 4 and set the goal of finding the value of the base, x.
Then x^(1/3) = 4 ("x raised to the power 1/3 is 4")
Let's elimiinate the fractional exponent on the left by cubing both sides of the equation:
{x^(1/3)}^3 = 4^3, or, after simplification,
x^1 = 64, or, in simplest form,
x = 64
Question c)
Notice that the base here is 1/100
and that the square root of 1 is 1 and that of 100 is 10.
Therefore, the given
{1/100} is equivalent to {1/10)^2
and so we have:
1 1
(------------)^(1/x) = ------- (we are to find x)
10^2 10
Note that 10 is the square root of 10^2, also the square root of 100.
So let's take the square root of 10^2. We get 10.
Therefore, try x = 2 and see whether the given equation is true:
1 1
{---------)^(1/2) = ------
100 10
The square root of 1 is just 1. The square root of 100 is 10.
Therefore the above equation becomes
1 1
----- = ----- and so x = 2 is correct.
10 10
find the area of the shaded region
Answer:
D) 1,020 square units
Step-by-step explanation:
36x48=1728
24x32=768
6x10=60
1728-768+60=1020 square units
Say that you pay property taxes of $2458.20 every year. If your state has a property tax rate of 0.082. What is the assessed value of your property?
a $29,978
b. $20,157
c. $25,517
d. $21,946
Based on the information given the assessed value of your property is: a $29,978.
Value of property:Using this formula
Value of property=Property taxes amount/Property tax rate
Where:
Property taxes amount=$2458.20
Property tax rate=0.082
Let plug in the formula
Value of property=$2458.20 /0.082
Value of property=$29,978
Inconclusion the assessed value of your property is: a $29,978.
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Which expressions are equivalent to x+4 : when X=0? Select three options. X 4 3 3 2x2 + 4x WY x2 + 4x
Answer:
a,c,d
Step-by-step explanation:
Helppp !!! Mathematics
State the number of complex roots, the number of positive real roots and the number of negative real roots of
x^4-x^3-6x+ 3 =0
9514 1404 393
Answer:
2 complex roots2 positive real roots0 negative real rootsStep-by-step explanation:
The signs of the terms are + - - +. There are two sign changes, so 0 or 2 positive real roots.
Negating the signs of the odd-degree terms, the signs are + + + +. There are no sign changes, so 0 negative real roots.
For x=0, the value of the quartic is +3. For x=1, the value is -3, so we know there are 2 positive real roots, one of which lies in the interval (0, 1).
The 4th-degree polynomial equation must have 4 roots, so the other two must be complex.
2 complex roots2 positive real roots0 negative real roots_____
The roots are approximately 0.489999841592, 2.06573034434, −0.777865092969 ± 1.53582061225i
Suppose the length and width of the rectangle are doubled. What effect would this have on the perimeter?
Answer: The perimeter is doubled
Step-by-step explanation:
When you double the length and width you have 2l as length and 2w as width. The new perimeter is 2(2l)+2(2w)=2(2l+2w). This means that when you double both sides, the perimeter is doubled.
Question 4 Multiple Choice Worth 1 points)
(04.02 LC)
What is the solution to the following system of equations?
X - 3y = 5
2x + y = 10
(5,0)
(0,5)
(7,0)
(0,7)
Answer:
What do you mean?
Step-by-step explanation:
Answer:
( 5, 0 )Step-by-step explanation:
x - 3y = 5
2x + y = 10 multiply by 3 to eliminate y and solve for x
x - 3y = 5
6x + 3y = 30 then add
7x = 35
simplify:
x = 35 / 7
x = 5
substitute x = 5 back into the eq.2
2x + y = 10
2(5) + y = 10
y = 10 - 10
y = 0
therefore the answer is ( 5, 0 )
evaluate -4 1/3 + 5 2/3 show work
Is the quotient of
-8÷(-2) is positive or negative?
PLS HELP
Which of the following is an equivalent representation of 5^-4 ?
1/81
1/12
1/9
1/625
Answer:
It would be 1/625
Step-by-step explanation:
5^-4=0.0016
0.0016 as a fraction is 1/625
Hope this helps! :)
Help meee asap!!!!!!!!!!!!!!!!!!!!!!!
Answer: see attachments
Step-by-step explanation:
Slope-Intercept format is: y = mx + b
↓ ↓
↓ Intercept (where it crosses the y-axis)
Slope (rise over run)
questions classmates have about cell organelles? from peardec
which is the distance between 1, -4 and 1, 18
Answer:
22
Step-by-step explanation:
cancel the 1 and add 18+4=22
Multiply -2 1/4 *( -2 1/3)
Answer:
5 1/4
Step-by-step explanation: hope this helps you out!