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
Dr. Jane is studying the growing population of a species of jellyfish in a body of water. Each year, she records the population of jellyfish. The first year, she recorded a population of 15 jellyfish. Every following year, the population increased by four times the previous year’s population. At this rate, what will be the jellyfish population in the 9th year of her study?
Answers
Answer:
983040
Step-by-step explanation:
Second Year : 15x4=60
Third Year : 60x4=240
Fourth Year : 240x4=960
Fifth Year : 960x4=3840
Sixth Year : 3840x4=15360
Seventh Year : 15360x4 = 61440
Eighth Year: 61440x4=245760
Ninth Year : 245760x4= 983040
Can somebody help me with this?
Answers
Answer: x=2
Step-by-step explanation:
We can see that ∠RTU and ∠STR make up ∠STU. Therefore, we add them together and set it equal to 114°.
24x+34x-2=114 [combine like terms]
58x-2=114 [add both sides by 2]
58x=116 [divide both sides by 58]
x=2
Now, we know that x=2.
express each of the following percentages as a fraction. 45%
Answers
Answer:
9/20
Step-by-step explanation:
45% can be written as
= 45/100
= 9/20
Hope it will help u..
45% can be expressed as 45/100
simplify to get 9/20
x+x/7+1/11(x+x/7)=60
Answers
Answer:
5 yes or good i'm not good morning guys
Answer:x= 48.126
Step-by-step explanation:
find the indicated unknown angle measure.
Answers
Answer:
138 degrees
Step-by-step explanation:
Angle b and the 42 degree angle right next to it are supplementary angles. That means that 42+b=180
b=138
2x = 14
Help please I am stuck how do I check this?
Answers
Answer:
x=7
Step-by-step explanation:
Can someone please help, ty!!
Answers
Simplify the expression. 9(3 + 2w)
Answers
Answer: 27 + 18w
9 x 3 + 9 x 2w
What information can be used to compare linear relationships. Explain why
Answers
Step-by-step explanation:
y=mx+b m being the highest point x being the lowest
Answer:
Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.
Step-by-step explanation:
This is the sample response.
Hannah had $237 in her
bank account at the start of
the summer. She worked for four
weeks and now she has $1685
in her bank.how much did Hannah make each week in her summer job
Answers
Answer:
$362
Step-by-step explanation:
Step 1:
$1685 - $237
Step 2:
$1448 ÷ 4
Answer:
362
Hope This Helps :)
Which two expressions are equivalent?
A. 5x - 5 and 5(x - 5)
B. 5(x - 5) and 5x - 25
C. 5x - 1 and 5(x - 5)
D. 5x(x - 1) and 5x - 5
Answers
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
what is 2 + 2???????
i need help plz
Answers
Answer:
4
Step-by-step explanation: 2+2=4
because imagine if u had 2 dollars and your mom gave u another 2 dollars u will have 4 dollars
What number is 10 times greater than 300?
Answers
The inequality for the given statement is 10x>300.
We need to find what number is 10 times greater than 300.
What is inequality?In Mathematics, equations are not always about being balanced on both sides with an 'equal to' symbol. Sometimes it can be about a 'not an equal to' relationship like something is greater than the other or less than. In mathematics, inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.
Let the unknown number be x.
Now, 10 times the number=10x
The number is 10 times greater than the 300.
That is, 10x>300
Therefore, the inequality for the given statement is 10x>300.
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Which equation has a graph that is a parabola with a vertex at (-2, 0)?
y=-2x2
.y=(x + 2)2
O y = (x - 2)2
o y=x-2
Answers
Answer: B
y=(x+2)^2
Step-by-step explanation:
e2020
Answer:
B
Step-by-step explanation:
Brainliest? lol
Please help me ASAP!!!
Answers
[tex] \huge \purple {\tt {{ (\frac{49}{64}) }^{ \frac{1}{2} } = \sqrt[2]{ \frac{49}{64} } = \frac{7}{8}}} [/tex]
Answer:[tex] \huge \pink {\tt {\frac{7}{8}}} [/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \sf{ \frac{7}{8}}}}} [/tex]
Step-by-step explanation:
[tex] \star \tt{ \: \: ( \frac{49}{64} ) ^{ \frac{1}{2} } }[/tex]
[tex] \hookrightarrow{ \tt{( \frac{7 \times 7}{8 \times 8} ) ^{ \frac{1}{2} } }}[/tex]
[tex] \hookrightarrow{ \tt{ {( \frac{ {7}^{2} }{ {8}^{2} }) }^{2} }}[/tex]
[tex] \hookrightarrow{ \tt{ { (\frac{7}{8} )}^{2 \times \frac{1}{2} } }}[/tex]
[tex] \hookrightarrow{ \tt{( \frac{7}{8} ) ^{ \cancel{2} \times \frac{1}{ \cancel{2} } } }}[/tex]
[tex] \hookrightarrow{ \tt{( \frac{7}{8} )}}[/tex]
Hope I helped!
Best regards! :D
~TheAnimeGirl
If there were 18 boys at a leadership camp, how many girls were at that leadership camp
Answers
Answer:
0
Step-by-step explanation:
what is a number in which the digit 7 is worth 70
Answers
Answer:
Tens, 70, 7x10'1
Please Answer Dis .
Answers
Answer:
543.
Step-by-step explanation:
Add both numbers as if they were positive.
7. Write the equation of the line that passes through the
point P (0,0), and is parallel to the line y = 7x - 8. Write
the answer in slope-intercept form.
Answers
Answer: y=7x
Step-by-step explanation:
To find the line that is parallel to the given line, we know that the slope will stay the same. Parallel lines NEVER touch or cross. Therefore, the slope MUST stay the same. All we have to do is plug in the given point to find the y-intercept.
y=7x+b
0=7(0)+b [multiply]
b=0
Now, we know the equation is y=7x+0 or y=7x.
Aubrey's car used 4 gallons to travel 100 miles. How many miles can the car go on one gallon of gas?
Answers
Answer: 25 miles
Step-by-step explanation:
Divide total miles by total gallons.
100 / 4= 25 miles per gallon
where is the result of -5+3 located in a number line?
Answers
Answer:
-2 is found to the left of the origin (0), in a more specific way, -2 is 2 down to the left of zero.
Step-by-step explanation:
A golf ball is selected at random from a golf bag. If the golf bag contains 6 green balls, 5 red balls, and 9 brown balls, find the probability of the following event. The golf ball is green or red . The probability that the golf ball is green or red is nothing. (Type an integer or a decimal rounded to three decimal places as needed.)
Answers
Using it's concept, it is found that the probability that the golf ball is green or red is of 0.55.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 6 + 5 + 9 = 20 balls, of which 11 are green or red, hence the probability is given by:
p = 11/20 = 0.55.
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Calvin's credit card computes finance charges using the daily balance method. His card has a billing cycle of 30 days and an APR of 14.75%. The following table details Calvin's transactions in the month of September. Date 9/1 Amount ($) Transaction 716.54 Beginning balance 84.94 Purchase 977 9/12 Purchase 15.69 200.00 9/20 Payment What will Calvin's starting balance be next month? a. $617.17 b. $624.74 c. $625.91 d. $623.52
Answers
Answer:
c. 625.91
Step-by-step explanation:
took the quiz an got 100%
The starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.
What is APR?The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on the borrowing money in the form of interest, but APR has applied annually.
We have:
His card has a billing cycle of 30 days and an APR of 14.75%.
Here the list data is not mentioned, clearly. Transactions with the amount.
As we know, the APR is the annual percentage rate, which is 14.75%.
Monthly percentage rate = 14.75/12 = 1.22%
But we can calculate the new balance with the formula:
Previous Balance + Finance Charge + New Purchases - (Payments + Credits) = New Balance
Thus, the starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.
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What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = 5x2 + 12?
Answers
The graph of the function h(x) = 5x² + 12 is more compact than the graph of function f(x) = x² and both the graphs represent parabolic curve along y axis.
What is graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The graph of the two functions is attached with the answer below. For the first graph, we will get the parabola whose vertex lies on the origin.
For the function h(x) = 5x² + 12 the graph will again parabolic having its vertex at ( 0,12) and the parabola is more compact than the parabola of the function F(x) = x².
Therefore the graph of the function h(x) = 5x² + 12 is more compact than the graph of function f(x) = x² and both the graphs represent parabolic curve along y axis.
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12+8x10.00000000000000000
Answers
Answer:
92
Step-by-step explanation:
10.00000000000000000 is the same as just 10
so through bodmas/bidmas you know thta the multiplication ha sto be done first so 8 x 10 =80
no add the first value.
12+80=92
Suppose the population of a certain city is 3339 thousand. It is expected to decrease to 2694 thousand in 50 years. Find the percent decrease.
Answers
Answer:
-19.3%
Step-by-step explanation:
The percentage change in a value is computed from ...
percent change = ((new value) -(old value))/(old value) × 100%
= (2694 -3339)/3339 × 100% = -645/3339 × 100% ≈ -19.3%
The decrease in 50 years is about 19.3%.
please help , i don’t know how to do these
Answers
2) 94, 124, 154
3) 8, 12, 16
4) -428, -528, -628
5) - 98, -118, 138
6) 13, 18, 23
The city library subscribes to
125 magazines at an
average cost of $23 a year
for each. What is the yearly
cost of all these magazines?
Answers
Answer:
Yearly Cost per each magazine=$23
Since there are 12 months in every year,
$23 × 12 =yearly cost
Therefore, $276 is equal to the yearly cost
Find the h. c. f of 24, 30, 36
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \text{6}}}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \text{ \: H.C.F \: of \: 24, 30, 36}}[/tex]
[tex] \text{Step \: 1 : First \: of \: all \: find \: the \: prime \: factor \: of \: each \: number}[/tex]
[tex] \mapsto{ \sf{24 = \: 2 \: ∗ \: 2 \: ∗ \: 2 \: ∗ \: 3}}[/tex]
[tex] \mapsto{ \sf{30 = 2 \: ∗ \: 3 \: ∗ \: 5}}[/tex]
[tex] \mapsto{ \sf{36 = 2 \: ∗ \: 2 \: ∗ \: 3 \: ∗ \: 3}}[/tex]
[tex] \text{Step \: 2 : Take \: out \: the \: common \: prime \: factors \: of \: given \: number}[/tex]
[tex] \mapsto{ \sf{Common \: prime \: factors = 2 \: and \: 3 \: }}[/tex]
[tex] \text{Step \: 3 : \: Multiply \: those \: all \: common \: prime \: factors \: and \: the \: number \: which \: is \: obtained \: is \: h.c.f}[/tex]
[tex] \mapsto{ \sf{ \: H.C.F = Common \: prime \: factors}}[/tex]
[tex] \mapsto{ \sf{H.C.F = 2 \: ∗ \: 3}}[/tex]
[tex] \mapsto{ \boxed{\sf{H.C.F = 6}}}[/tex]
[tex] \text{∴ \: the \: H.C.F \: of \: 24 \: , \: 30 \: and \: 36 \: is \: 6. }[/tex]
[tex] \sf{Hope \: I \: helped !!}[/tex]
[tex] \sf{Best \: regards !!}[/tex]
~[tex] \text{ TheAnimeGirl}[/tex]
Eric’s kite spool had 100 yards of string. At first, he let out 50 feet of string.Then, the kite rose for another 16 yards. How much string was left on the spool?
Answers
Answer:66
Step-by-step explanation:Eric had 100 at first minus 50 then the kite rose 16 more which equals 66
The number of yards of string left on spool is 34 yards.
Given that, Eric’s kite spool had 100 yards of string.
What is subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
At first, he let out 50 feet of string. Then, the kite rose for another 16 yards.
Now, 50+16=66 yards
So, 100-66=34 yards
Hence, the number of yards of string left on spool is 34 yards.
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