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Dennis_Churaev [7]
3 years ago
13

Which rule describes a translation that is 3 units to the right and 5 units down?

Mathematics
2 answers:
Hunter-Best [27]3 years ago
7 0
For this translation, you need to replace every occurrence of "x" with "x-3", and every occurrence of "y" with "y+5".
IrinaK [193]3 years ago
4 0

Answer:

(x,y)\rightarrow (x+3,y-5)

Step-by-step explanation:

In translation by a unit left,

The rule is,

(x,y)\rightarrow (x-a,y)

By a unit Right, rule is,

(x,y)\rightarrow (x+a,y)

By a unit up rule is,

(x,y)\rightarrow (x,y+a)

By a unit down, rule is,

(x,y)\rightarrow (x,y-a)

Hence, the rule describes a translation that is 3 units to the right and 5 units down is,

(x,y)\rightarrow (x+3,y-5)

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Daniel is planning a 6-night road trip. It will cost $310 for transportation, $275 for food, and $70 per night for a hotel room.
Anna11 [10]

Answer:

Daniel must tutor 160 hours

Explanation:

310+275+70= 655

655×6= 3930 (he needs this amount of $)

(Daniel gains $20 per hour)

20×160= 3200

3200+745= 3945

3945 > 3930

Daniel has enough for the trip.

Where did I get 160?

Well, I was just trying out numbers and multiplying it by 20

The numbers I tried: 100, 150, 156, 159 & 160 but only 160 fit with the answer.

If it was just one night road trip he would've just needed $655, but since it's a 6-night road trip I multiplied it by 6.

Hope this helped!

3 0
3 years ago
Read 2 more answers
Complete the comparison: 3 + 7 > ? A. 8 + 2 B. 10 − 2 C. 7 + 3 D. 9 + 4
Dafna1 [17]
3 + 7 > 10 - 2
10 > 8...correct
5 0
3 years ago
What is the total price of a $45 pair of jeans after a 6.5% sales tax is added?<br> show ur work
tangare [24]
The answer is 45.65
45 + 6.5 = 45.065

45 divided by 6.5 over a hundred = 45 + 0.065


Thats how you get 45.65
6 0
3 years ago
Read 2 more answers
Help pleaseeeeeeeeeeeeeeeeeeeeeee
bixtya [17]

Answer:  \bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}

<u>Step-by-step explanation:</u>

(1)           (12, 18, 27, ...)

The common ratio is:

r=\dfrac{a_{n+1}}{a_n}\quad r =\dfrac{18}{12}=\boxed{\dfrac{3}{2}}\quad \rightarrow \quad r=\dfrac{27}{18}=\boxed{\dfrac{3}{2}}

The equation is:

a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\  r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}

(2)\qquad \bigg(\dfrac{1}{16},\dfrac{1}{8},\dfrac{1}{4},\dfrac{1}{2}\bigg)\\\\\\\text{The common ratio is}:\\\\r=\dfrac{a_{n+1}}{a_n}\quad  r=\dfrac{\frac{1}{8}}{\frac{1}{16}}=\boxed{2}\quad \rightarrow \quad r=\dfrac{\frac{1}{4}}{\frac{1}{8}}=\boxed{2}

The equation is:

a_n=a_o(r)^{n-1}\\\\Given:a_o=\dfrac{1}{16},\  r=2\\\\\\Equation:\\a_n =\dfrac{1}{16}(2)^{n-1}\\\\\\\\9th\ term:\\a_9=\dfrac{1}{16}(2)^{9-1}\\\\\\a_9=\dfrac{1}{16}(2)^{8}\\\\\\.\quad =\large\boxed{16}

3 0
3 years ago
An investment offers a simple interest rate of 3% per year.
Step2247 [10]

Answer:

sh 23000

Step-by-step explanation:

i = \frac{prt}{100}  =  \frac{20000 \times 3 \times 5}{100}  = 3000

Amount = principal + interest = 20000+3000 = sh 23000

6 0
3 years ago
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