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3 years ago

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

8 0

Answer:

(x-3,y+5)

Step-by-step explanation:

5 units up would be written as: $y + 5$ .

3 units to the left would be $x - 3$ .

The rule that describes the translation of 5 units up and 3 units to the left would be:

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

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about travels in the following path. How far north did it travel? Round your answer to the nearest 10th of a mile

SCORPION-xisa [38]

Answer:

19.1 miles

Step-by-step explanation:

The situation given represents a right triangle.

Thus, we would use trigonometric function to find how far north the boat travelled.

Let's represent how far the boat travelled north with "x".

Thus:

Reference angle = 23°

Opposite = x

Adjacent = 45 miles

Apply TOA:

Tan 23° = Opp/Adj

Tan 23° = x/45

Multiply both sides by 45

45 × Tan 23° = x

x = 45 × Tan 23°

x = 19.1013667

x = 19.1 miles (nearest tenth of a mile)

5 0

3 years ago

Please answer the question in the photo, thanks!

belka [17]

Answer:

$\therefore 2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}$

Step-by-step explanation:

The question relates to dividing a fraction by proper and another fraction

The given expression is presented as follows;

$2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right )$

We rearrange the fractions as improper fractions for easier division as follows;

$2\dfrac{1}{3} = \dfrac{7}{3}$

$-3\dfrac{2}{3} = -\dfrac{11}{3}$

Therefore, we have;

$2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = \dfrac{7}{3} \div \left (-\dfrac{11}{3} \right ) = \dfrac{7}{3} \times \left (\dfrac{1}{-\dfrac{11}{3} } \right ) = \dfrac{7}{3} \div \left (-\dfrac{3}{11} \right ) =-\dfrac{7}{11}$

$\therefore 2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}$

4 0

3 years ago

9. Allen and his two brothers decide to purchase a video game system together. They determine

Bumek [7]

Step-by-step explanation:

that is so simple, it is already difficult to make it formal, because there are only so few things to deal with. you really need help with this ?

you are not familiar with the situation "hey, this costs $10, we are 5 people, if we buy and then use it together, each one has to pay $2" ?

and this is just the other way around : if 5 people paid $2, how much did they pay together ? $10.

let's make it super formal :

price p = Allen contribution a + brother1 contribution b + brother2 contribution c

p = a + b + c

a = b = c = $32.30

p = $32.30 + $32.30 + $32.30 = 3×$32.30 = $96.90

3 0

3 years ago

You and your family go to dinner at a local restaurant in Rexburg, Idaho and your online banking report shows that the total din

Fofino [41]

Answer:

$ 31.30

Step-by-step explanation:

The bill for food, tax and tip = $ 36

let the y be the amount paid for food and tax

y + 0.15 y = $ 36

1.15 y = $ 36

y = $ 36 / 1.15 = $ 31.30

5 0

3 years ago

Please help fast!!!! trig/ geometry

amm1812

Answer:

b = 5.7

A = 51.1°

B = 38.9°

Step-by-step explanation:

a = 7

c = 9

✔️Find b using Pythagorean theorem:

b = √(9² - 7²) ≈ 5.7

✔️Find A using trigonometric function:

Reference angle = A

Opposite = a = 7

Hypotenuse = c = 9

Apply SOH:

$sin(A) = \frac{Opp}{Hyp}$

$sin(A) = \frac{7}{9}$

$A = sin^{-1}(\frac{7}{9})$

A = 51.0575587° = 51.1°

✔️B = 180 - (90 + 51.1) (sum of triangles)

B = 38.9°

7 0

3 years ago