What are the coordinates of the vertices of the rose garden after a translation two yards east and four yards south? Use the terms A, B, C, and D
Answers
Answer:
The coordinates of the vertices of the original rose garden are A(3, 6), B(3, 3), C(4, 3), and D(4, 6).
Because the rose garden is translated 2 yards east (2 units in the positive x-direction) and 4 yards south (4 yards in the negative y-direction), add 2 units to the x-coordinates and -4 units to the y-coordinates of all the original vertices.
A(3, 6) will become A'[(3 + 2), (6 + (-4))], or A′(5, 2).
B(3, 3) will become B'[(3 + 2), (3 + (-4))], or B′(5, -1).
C(4, 3) will become C'[(4 + 2), (3 + (-4))], or C′(6, -1).
D(4, 6) will become D'[(4 + 2), (6 + (-4))], or D′(6, 2).
Related Questions
PLZ Help
This is due by 2:20
Answers
Answer:
The answer is 60 degrees.
Step-by-step explanation:
The three angles in any triangle add up to 180 degrees.
You know by the box at the bottom right that it's a right triangle and therefore that angle is 90 degrees. They also give you the 30 degree angle at the bottom left. So:
90 degrees + 30 degrees = 120 degrees.
180 degrees (total) - 120 degrees (first 2 angles) = 60 degrees (missing angle)
Hope this helps!
On January 1, 2009, Jessica owed $10,212 to her friend Sam, who was kind enough not to charge Jessica any interest. Each month during 2009, Jessica paid Sam some of the money she owed. If Jessica still owed Sam $6,612 on January 1, 2010, what was the average amount of Jessica's monthly payments?
Answers
Answer:
551
Step-by-step explanation:
6612 divided by 12 ( number of months) =551
Rey is considering buying shares of TWA stock. The stock currently sells for $50 per share. The stock changes in value at 9:00 am each day, either increasing in value by $11 or decreasing in value by $13. The stock will increase in value with 40% probability, and decrease in value with 60% probability. The stock follows a random walk. In two days, what is the probability that the TWA stock is greater than $30
Answers
Answer: 64%
Step-by-step explanation:
Given the following :
Current price of stock = $50
Probability of increase per day = 40% = 0.4
Probability of decrease = 60% = 0.6
Value of increase = $11
Value of decrease = $13
Probability that stock is greater than $30 in two days :
For stock to be greater than $30 in two days ;
It either increases in both days or increases in a day and falls the other
Hence, probability that stock is greater than $30
P(increase and increase) OR P(increase and decrease) OR P(decrease and increase)
(0.4 × 0.4) + (0.4 × 0.6) + (0.6 × 0.4)
0.16 + 0.24 + 0.24 = 0.64
0.64 × 100 = 64%
Which of these cannot be a whole
number?
A a positive integer
B a negative integer
C a rational number
Answers
A small Learning Center holds twenty-four less students than a large Learning Center. Together the Learning Centers hold seventy-two students. How many students does each Learning Center hold?
Answers
Answer:
A small learning center holds 48 students
Step-by-step explanation:
A small Learning Center holds twenty-four less students than a large Learning Center. Together the Learning Centers hold seventy-two students. How many students does each Learning Center hold?
72-24=48
These tables of values represent continuous functions. For which functions will the y-values be the greatest for very large values of x?
Answers
∆....A....∆
1 6
2 18
3 54
4 162
5 486
The function with the greatest y-values for very large values of x is C.
The y-values in function C increase at a much faster rate compared to the other functions as x becomes larger. In function C, the y-values are growing with a constant difference of 200 for each increase in x. This means that for every unit increase in x, the y-value increases by 200. This linear relationship results in significantly larger y-values for larger x-values.
On the other hand, the other functions (A, B, and D) do not exhibit such rapid growth. Function A has a cubic relationship, which does lead to larger values than a linear relationship, but it is still not as rapid as the linear increase in function C. Function B also has a linear relationship, but the constant difference between y-values is much smaller than in function C (only 75).
Function D has a constant difference of 5 between y-values, resulting in a very slow growth as x becomes larger.
In conclusion, function C has the greatest y-values for very large values of x due to its linear relationship with a constant difference of 200 between y-values for each unit increase in x.
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A mother gives birth to a 9 pound baby. Every 2 months, the baby gains 3 pounds if x is the age of the baby in months,then y is the weight of the baby in pounds.
Find an equation of a line in the form y=Mx+b that describes the baby’s weight
Answers
Answer:
y=1.5x+9
Step-by-step explanation:
We can first write in 9 as b because the baby already started at 9 pounds, meaning the line showing the weight will also start from 9.
The question tells us that the baby grows 3 pounds every 2 months. In the equation, x represents months. We need to convert the rate of growth into 1 month to write in as the slope.
[tex]\frac{3pounds}{2 months} = \frac{1.5 pounds}{1 month}[/tex]
Now we know every month, the baby grows 1.5 pounds, which represents the rate of change, or M, in the equation.
Analyze the diagram below and complete the instructions that follow. If ON = MN, find MN. A. 4 B. 5 C.4 sqrt{2}]. D 4 square root 30
Answers
Answer:
C. 4 sqr 2, sorry for the answer being late, hope this helps some one tho :)
Step-by-step explanation:
I took the quiz and got it correct
Answer:
The answer would indeed be C.
Step-by-step explanation:
Was in my test on edg.
Please answer this!
Who invented maths?
Answers
Answer:
ancient greek invented math
Is the ordered pair (-3,2) a solution to the equation 5x + 2y = -11
Answers
Step-by-step explanation:
(-3,2) is equal to (x,y)
x=-3 so 5x becomes 5x-3.
5x-3=-15
y=2 so 2y becomes 2x2.
2x2=4
-15+4=-11
T/F
True
So the answer is Yes, the ordered pair (-3,2) is a solution.
hope it helps!
Marissa drives from her house to work at an avg speed of 40mph. She drives home sameroute at 60mph. Entire round trip is 45 minutes, what is her avgspeed in mph?
Answers
Answer:
50mph
Step-by-step explanation:
to to find the mean you add 40 + 60. which equals 100 then divide by the amount a variables which is two.
graph y minus 3 equal one half (x+2)
Answers
In a particular town, 20% of the homes have monitored security systems. If an alarm is triggered, the security system company will contact the local police to alert them of the alarm. Of all the alarm calls that the local police receive, they only have the manpower to answer 30% of the calls. Suppose we randomly sample one home that was broken into over the last month from this town. What is the probability that this home has a monitored security system and that the police answered the alarm call?
Answers
Answer:
The probability to have both = 0.06
Step-by-step explanation:
Given:
Security system home = 20% = 0.2
Manpower for security calls = 30% = 0.3
Find:
The probability to have both
Computation:
The probability to have both = P(Security system home) × P(Manpower for security calls)
The probability to have both = (0.2)(0.3)
The probability to have both = 0.06
Compare -9 and square root -9
Answers
Answer:
-9 < 3i
Step-by-step explanation:
3i is bigger than -9 because 3i² is equal to -9
i means imaginary number
Hope this helps!
A farmer rents pastureland for 8$ per acre plus a monthly fee of $200. Write an expression that can be used to find the total monthly cost. Then find the cost of renting 25 acres
Answers
Answer:
A. [tex] 8n + 200 [/tex], $400.
Step-by-step explanation:
Monthly rent per acre for pasture land = $8
Additional monthly fee = $200
Let n represent the number of acres.
Therefore, expression for the total monthly cost would be:
[tex] 8n + 200 [/tex].
If the farmer wants to rent 25 acres of pasture land, the expression, [tex] 8n + 200 [/tex], can be used in calculating the total cost by simply plugging in the value of n, which would be 25 in this case.
Total monthly cost for 25 acres = [tex] 8(25) + 200 [/tex].
[tex] = 200 + 200 [/tex]
[tex] 400 [/tex].
Total monthly cost = $400
solve the inequality 5f+7[tex]\leq[/tex]22
a f[tex]\geq[/tex]6
b f[tex]\leq[/tex]3
c f[tex]\leq[/tex]10
d f[tex]\geq[/tex]15
Answers
Answer:
[tex]f \leqslant 3[/tex]
Step-by-step explanation:
[tex]5f + 7 \leqslant 22 \\ 5f \leqslant 15 \\ f \leqslant 3[/tex]
4. Between which two whole
numbers does V150 lie?
Answers
Answer:
12 & 13
Step-by-step explanation:
trust me
ASAP
Sales tax is calculated as a percentage of the sales price. If sales tax is 6%, what is the sales tax on clot that cost 180
$6.00
O $9.80
$10.80
O $18.60
Answers
The reason being. 180 x 6% = 10.80. You would then add 10.80 to 180 to get the total which would be $190.80. But you only need what the tax would be so the tax would be $10.80
please help with this as soon as possible
Answers
Answer:
98,000
Step-by-step explanation:
[tex]5^{4} *7^{5}* 2^{8}/16*125*7^{3}[/tex]
[tex]=5^{4} * 7^{5}* 2^{8} /2^{4} *5^{3} *7^{3}[/tex]
[tex]=5^{4-1} *7^{5-3} *2^{8-4}[/tex]
=[tex]5^{3} *7^{2} *2^{4}[/tex]
=[tex]125*49*16[/tex]
[tex]=98000[/tex]
Answer:
Step-by-step explanation:
Factorize all the numbers in numerator and denominator
16 = 2*2*2*2
125 = 5 *5 *5
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex], where m >n
[tex]\frac{5^{4}*7^{5}*2^{8}}{16*125*7^{3}}=\frac{5^{4}*7^{5}*2^{8}}{2^{4}*5^{3}*7^{3}}\\\\\\=5^{(4-3)}*7^{(5-3)}*2^{(8-4)}\\\\\\=5^1*7^2*2^{4}[/tex]
For which values of a the system has no solution: x≤5, x≥a
Answers
Given:
The system of inequalities is
[tex]x\leq 5[/tex]
[tex]x\geq a[/tex]
To find:
The values of a for which the system has no solution.
Solution:
We have,
[tex]x\leq 5[/tex] ...(1)
It means the value of x is less than or equal to 5.
[tex]x\geq a[/tex] ...(2)
It means the value of x is greater than or equal to a
Using (1) and (2), we get
[tex]a\leq x\leq 5[/tex]
But if a is great than 5, then there is no value of which satisfies this inequality.
Therefore, the system has no solution for a>5.
Express the ratio AC/DF in simplest form
Answers
Answer:
[tex] \frac{n}{28 \: cm}[/tex]
Step-by-step explanation:
AC = n, DF = 28 cm
[tex] \huge \red{ \frac{AC}{DF} }= \purple{ \frac{n}{28 \: cm}} \\ [/tex]
5p · 1 = 5p is what property
Answers
Answer:
034579+&_9&__78'_&666
I need to change the subject to x
Answers
Answer:
h) (x+4t²)/4= 3V
x+4t²= 4*3V
x+4t²=12V
x=12V-4t²
MN=√(3x-2)
(MN)²=3x-2
3x-2=(MN)²
3x=(MN)²+2
x= [(MN)²+2]/3
7n-(4n-3) simply to create a equivalent expression?
Answers
Answer:
3n + 3
Step-by-step explanation:
Step 1:
7n - 4n + 3
Answer:
3n + 3
Hope This Helps :)
The equivalent expression is 3n + 3.
To simplify the expression 7n - (4n - 3), distribute the negative sign inside the parentheses:
7n - (4n - 3) = 7n - 4n + 3
Simplifying further, combine like terms:
7n - 4n + 3 = (7n - 4n) + 3 = 3n + 3
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f(x)=3x 2 +16 Find f(-1)
Answers
Answer:
X-18/3
Step-by-step explanation:
Assuming you meant 3x+18
The inverse f(-1) of the equation is above.
If the object has leaves, then it is a tree.
Answers
Answer:
False
Step-by-step explanation:
Answer:
false
Step-by-step explanatio
Fruits and vegatables have leaves too, but yet there not a tree
jonshelle is developing a new bread recipe. The relationship between cups of water, w, and cups of flour, f, is w=3/5f what is the scale factor of water to flour?
Answers
Answer:
The scale factor of water to flour is simply 3/5 or 3 to 5
Step-by-step explanation:
Here, we are interested in knowing the scale factor of water to flour.
To know this, we simply will rearrange the given equation;
w = 3/5f
Divide both side by f
w/f = 3/5
This shows that the scale factor of water to flour is 3 to 5 or simply 3/5
Please Help A) Find the perimeter B) The area of the rectangle
Answers
Answer:
A) 36.2m B) 70m
Step-by-step explanation:
5.6m + 5.6m = 11.2 m
12.5 + 12.5= 25 11.2 + 25 = 36.2m
Length x width equals area
12.5m = length and 5.6m= width
multiply 12.5 x 5.6= 70m
Complete each ratio table to solve each problem.
11 To make 5 apple pies, you need about 2 pounds
of apples. How many pounds of apples do you need
to make 20 apple pies?
Answers
Answer:8 pounds to make 20 apple pies
What are two different methods you can use to withdraw money from your checking account?
Answers
Answer:
You can withdraw by automatic electronic transfer, check, ATM card or debit card. There are many ways these days to withdraw money from your accounts.