Answer:
x=1.6
Step-by-step explanation:
Triangle ABC has vertices at A(-3, 1), B(2, -4), and C(1, 5). It is translated 2 units right and 3 units down to form triangle A’B’C’. A'B'C' is then reflected over the line y = x to form triangle A''B''C''. What are the vertices of triangle A’'B’'C’'? A. A''(2, 1), B''(7,-4), C''(-2, 3) B. A''(2, -1), B''(7,4), C''(-2, -3) C. A''(-1, -2), B''(4,-7), C''(-3, 2) D. A''(-2, -1), B''(-7,4), C''(2, 3)
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.
Learn more about Translation here:
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Can someone help me
7 + 2h = 3 + 4h
h = 2
[tex]7 + 2h = 3 + 4h[/tex]
You must isolate the variable to solve using the order of operations, or PEMDAS.
[tex]4 = 2h[/tex]
Subtract 3 from both sides of the equation, and subtract 2h from both sides of the equation.
[tex] \frac{4}{2} = h[/tex]
Divide both sides of the equation by 2.
[tex]h = 2[/tex]
been an hour pls help 3
Answer:
a = 3.09 m/s^2
Step-by-step explanation:
v^2 = Vo^2 +2ax
v= final velocity
Vo = initial velocity
a = acceleration
x = distance
(-10.9)^2 = (-27.7)^2 + 2(a)(-105)
118.81 = 767.29 - 210a
-210a = -648.48
a = 3.09 m/s^2
[tex]( {v})^{2} - ({v(0)} \: )^{2} = 2 \times a \times ∆x[/tex]
[tex]( { - 10.9})^{2} - ({ - 27.7})^{2} = 2 \times a \times - 105 \\ [/tex]
[tex]118.81 - 767.29 = - 210 \times a[/tex]
[tex] - 648.48 = - 210 \times a[/tex]
Negatives simplified :
[tex]648.48 = 210 \times a[/tex]
Divided both sides by 210 :
[tex]a = \frac{648.48}{210} \\ [/tex]
[tex]a = 3.088 \: \: \frac{m}{ {s}^{2} } \\ [/tex]
_________________________________
I think it's the correct answer.
Hope helped.
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
suppose three Riders rode a total of 260 Mi if they use a total of 18 horses and rode each horse to the same number of miles how many miles did they ride before replacing the horse
Answer:
14.3 - Not entirely sure?
Step-by-step explanation:
So you first divide 260 by 3 (the riders), and if they used a total of 18 horses together you then divide them by 3 as well. You get the answer from 260 and 3 (which would be 86) also the answer from 18 and 3 (which would be 6) and divide them together (I know, lots of dividing) and there's your answer! 14.3
jan is 5 years older than tom.jan will be 3/4 as old as jan.what is tom´s age now
select all ordered pairs that satisfy the function of y=2/3x+1.
(-3,-1)
(6,4)
(-6,3)
(3,3)
Answer:
A.
Step-by-step explanation:
Plugging in all the values into the equation, only A holds a true statement.
Aleka and Helene both opened savings accounts that earn 2.5% interest a year. Aleka puts $2,500 into her account. Helene put $1,500 into her account and also saves $200 cash a year. x = number of years Aleka: f(x) = 2500(1.025)x Helene: g(x) = 1500(1.025)x + 200x Which function represents the difference, h(x) = f(x) – g(x), between the value of Aleka's and Helene's total savings after x years? h(x) = –1000(1.025)x + 200x h(x) = 1000(1.025)x + 200x h(x) = 1000(1.025)x – 200x h(x) = 4000(1.025)x + 200x
Given:
Amount in Aleka and Helene accounts represented by the following function:
Aleka: [tex]f(x) = 2500(1.025)^x[/tex]
Helene: [tex]g(x) = 1500(1.025)^x + 200x[/tex]
To find:
The function represents the difference, [tex]h(x) = f(x) -g(x)[/tex], between the value of Aleka's and Helene's total savings after x years.
Solution:
We have,
[tex]f(x) = 2500(1.025)^x[/tex]
[tex]g(x) = 1500(1.025)^x + 200x[/tex]
Now,
[tex]h(x) = f(x)-g(x)[/tex]
[tex]h(x) = 2500(1.025)^x-[1500(1.025)^x + 200x][/tex]
[tex]h(x) = 2500(1.025)^x-1500(1.025)^x - 200x[/tex]
[tex]h(x) = 1000(1.025)^x - 200x[/tex]
Therefore, the correct option is C.
Answer:
c
Step-by-step explanation:
Where do you start counting up 1 over 3?
Answer:
it depends where your y-intercept is at
if you dont have a y-intercept then just start anywhere on the y-intercept line then u go up one then over three
Step-by-step explanation:
Find the percent decrease. Round to the nearest percent.
From 94°F to 70°F
Answer:
25%
Step-by-step explanation:
94°F-100%
70°F-x%
x%=70°F*100%/94°F=74.5%~75%
100%-75%=25%
40+5-9x+4
I need help with this it needs to be simplified
Step-by-step explanation:
40 + 5 - 9x + 4
45 - 9x + 4 = 0
41 - 9x = 0
41 = 9x
41/9 = x
(9.r + 1)
(11x - 23),
Help me please
Answer
X= 8 i answered it as fast as possible
I need the answers too these, MAJOR QUIZ GRADE !!
Answer:
the answer is B cause I just took a test with this question
Which equation is represented by the graph below?
Answer:
y = 2/3x + 6
Step-by-step explanation:
Rene earns $50,768 per year.
What are her weekly gross earnings?
Answer : Rena's weekly gross earnings are $976.31.
Step-by-step explanation :
As we are given total earning of Rena per year is $50,768.
Now we have to calculate her weekly gross earnings.
As we know that in one year there are 52 weeks.
That means,
1 year = 52 weeks
According to the question:
As, Rena earns in 52 weeks = $50,768
So, Rena earns in 1 week = [tex]\frac{\$ 50,768}{52}[/tex]
= $976.31
Therefore, Rena's weekly gross earnings are $976.31.
A father is 30 years elder than his son. after 8 years he will be 4 times as old as his son. find their present ages
Father is 30 years older than the son.
After 8 years , he will be 4 times as old as his son.
Find:their present ages
Solution:Let the son's age be x and age of father be y years
⟹ Father's age = Son's age + 30
⟹ y = x + 30 -- equation (1)
Also,
Son's age after 8 years = (x + 8) years.
Father's age after 8 years = (y + 8) years.
According to the above condition,
⟹ y + 8 = 4(x + 8)
⟹ y + 8 = 4x + 32
Substitute the value of y from equation (1).
⟹ x + 30 + 8 - 32 = 4x
⟹ 6 = 4x - x
⟹ 6 = 3x
⟹ 6/3 = x
⟹ 2 = x
Substitute the value x in equation (1).
⟹ y = 2 + 30
⟹ y = 32
Therefore,
Son's present age = x = 2 years.
Father's present age = y = 30 years.
I hope it will help you.
Regards.
Answer:
→ 11(2 + y) + 11y
→ 22 + 11y + 11y = 154
→ 22y + 22 = 154
→ 22y = 154 - 22
→ 22y = 132
→ y = 132/22
→ y = 6
Step-by-step explanation:
Can someone please tell me the color of the pattern please
#9 Alana made $45
babysitting for 6
hours. How much do
she make per hour?
Step 1:
Start by setting it up with the divisor 6 on the left side and the dividend 45 on the right side like this:
6 ⟌ 4 5
Step 2:
The divisor (6) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:
0
6 ⟌ 4 5
Step 3:
Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.
0
6 ⟌ 4 5
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.
0
6 ⟌ 4 5
- 0
4
Step 5:
Move down the 2nd digit of the dividend (5) like this:
0
6 ⟌ 4 5
- 0
4 5
Step 6:
The divisor (6) goes into the bottom number (45), 7 time(s). Therefore, put 7 on top:
0 7
6 ⟌ 4 5
- 0
4 5
Step 7:
Multiply the divisor by the result in the previous step (6 x 7 = 42) and write that answer at the bottom:
0 7
6 ⟌ 4 5
- 0
4 5
4 2
Step 8:
Subtract the result in the previous step from the number written above it. (45 - 42 = 3) and write the answer at the bottom.
0 7
6 ⟌ 4 5
- 0
4 5
- 4 2
3
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 45 divided by 6 calculated using Long Division is:
7
3 Remainder
a) Find the value of 8^1/3
b) Find the value of 8^2/3
c) Find the value of 16^3/4
The 3 answers are 2,4,8
a. 8 can be written as 2^3== (2^3)^1/3,
would be cancelled and answer is 2
b. (2^3)^(2/3), 3 is cancelled.
2^2= 4
c. 16 can be written as 2^4
(2^4^(3/4), 4 is cancelled,
2^3 = 8
In one version of a trail mix, there are 6 cups of peanuts mixed with 4 cups of
raisins. In another version of trail mix, there are 13.5 cups of peanuts mixed
with 9 cups of raisins.
1a. Are the ratios equivalent for the two mixes?
Yes
No
This is a required question
16. Explain how you know.
Your answer
Ratio of peanuts to raisins in the first version of a trail mix = 3:2.
Ratio of peanuts to raisins in the second version of a trail mix = 4.5:3.
Divide the ratio by 1.5.
Ratio for second mix = 3:2.
The ratios are equivalent for the two mixtures.
Hopefully this helped.
21.10 or 2.117 is bigger
Answer:
21.10
Step-by-step explanation:
The numbers before the decimal point represents the whole number so therefore, 21 as a whole number is bigger than 2.
Answer:21.10
Step-by-step explanation:
21.10
2.117
Look at place value.
11. Jack and Jill are going tubing and it costs $50 for the first 2 hours to rent the tubes and $20 for each
additional hour. If they have $100 to spend, at most, how many hours can they rent the tubes? Set up an inequality and
solve. Don't forget to define the variable solve. DONT forget to define the variable PLEASE THIS IS DUE TODAY!
Answer:
10 dollars left, four hours of tubing
Step-by-step explanation:
please help!!!!!! im desperate!!!
Answer:
148degrees
Step-by-step explanation:
add 180 plus 32 which is 212 subtract that from 360 which is 148
PLEASE HELP, URGENT. I’ll name Brainly if correct
Answer:
y=5-9x
Step-by-step explanation:
y is means y=
5 less than means 5-
product of 9 ans x means 9x
so... y=5-9x
Answer:
y = 9x - 5
Step-by-step explanation:
'is' = equal to
'less than' = difference/subtract
'product' = multiply
y = 9x - 5
100 pts + brainliest for the best answer :)
Tickets to a play cost $4 in advance and $5 at the door. The theater club president wants to raise at least $400 from the ticket sales. If the club sells 40 tickets in advance, what is the least number of tickets the club needs to sell at the door to reach the president’s goal?
Least number of tickets = ___
Step-by-step explanation:
Least No. of tickets is 100
Answer:
least number of ticket is 100
A directed segment QR¯¯¯¯¯ with endpoints at Q (2, 1) and R (8, 13) is partitioned from Q to R into a 1:2 ratio at point Z. What are the coordinates of Z?
(2, 4)
(4, 5)
(6, 9)
(9, 10)
Answer:
The coordinate of the point Z is (4, 5)
Step-by-step explanation:
The given information are;
The coordinates of the endpoints of the directed segment QR are Q(2, 1) and R(8, 13)
The ratio of the partition of the directed line segment QR from Q to R = 1:2
The location of the point at the directed line segment is partitioned = Point Z
Therefore, we have;
The proportion of the partition segment QZ to QR is given as follows;
QZ = 1/(1 + 2) × QR = 1/3·QR
ZR = 2/(1 + 2) × QR = 2/3·QR
Which gives the coordinate of the point Z as follows;
The coordinate of the point Z = (2 + (8 - 2)×1/3, 1 + (13 - 1)×1/3)
The coordinate of the point Z = (2 + 2, 1 + 4) = (4, 5)
The coordinate of the point Z = (4, 5).
Please... I really need help
hope it's right that is what I thought good luck
Carlos has a 50$ amazon gift card. He wants to buy some boxes of Halloween candy for 5.99$ each, but needs to save atleast 30$ so he can get his mom a birthday present
Answer:
he can only buy 3 boxes of candy. then he will be left over with 32.03
Step-by-step explanation:
Answer:
Carlos can buy three boxes of candy, buy his mom her present, and have two dollars and three cents left.
Step-by-step explanation:
50-30=20
20-5.99=14.01
14.01-5.99=8.02
8.02-5.99=2.03
Hope this helps!!
USING STRUCTURE What type of pair of angles are 6 and 13?
Answer:
Consecutive interior angles
Step-by-step explanation:
This chart may also help
Your older brother drove to your grandparents’ house in a different car but left from the same location at the same time. If he traveled at a constant speed of 60 miles per hour, explain why he would reach your grandparents’ house first. Use words, diagrams, or numbers to explain your
Please answer I will mark brainlist
75m/60=1.25
1.25=1 1/4 hours
So the answer Is 1 1/4 hours.
hope this helps
Jim and his friends are going to the Del Mar Fair and find they have two ticket options. In one option each person could buy an admission ticket for $5 and then pay $0.25 for each ride. The other option is to buy an admission ticket for $2 and then pay $0.75 a ride. What do you think Jim should do?
Step-by-step explanation:
let the cost of the options be y
since they are two already we can model the cost as
For the first ticket option
y=5+0.25(2)
y=5+0.5
y=$5.5
For the second ticket option
y=2+0.75(2)
y=2+1.5
y=$3.5
They should go for the second ticket option since it is $2 less than the first option
