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olga_2 [115]
4 years ago
6

Alicia is writing the program for a video game. For one part of the game, she uses the rule (x,y) -> (x - 3, y + 4) to move p

oints on the screen.
(a) What output does the rule give when the input is (-6,0)? Show your work.



(b) What output does the rule give when the input is (3,-4)? Show your work.
Mathematics
1 answer:
Morgarella [4.7K]4 years ago
4 0

A) (-6,0) =  -6-3, 0+4 so it moves to (-9,4)

B) (3,-4) = 3-3, -4+4 so it moves to (0,0)

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Currency such as dollars can come in various forms such as dimes, quarters, pennies, and nickels.

The number of quarter coins is 12 and the number of dollar coins is 14 coins.

Let's represent:

The number of 1 dollar coin = d

The number of 1 quarter coin = q

The twenty-six coins in my pocket are all dollar coins and quarters. The algebraic equation for this statement above is =

d + q = 26 ........ Equation 1

Making d the subject of the formula

d = 26 - q

1 dollar coin = $1

1 quarter = $0.25

The value of the dollar and nickel coins is seventeen dollars. The algebraic expression for this statement is :

$1 x d + $0.25 x q = 17

d + 0.25q = 17.................Equation 2

Substitute 26 - q for d in Equation 2

26 - q + 0.25q = 17

Collecting like terms

26 - 17 = q - 0.25q

9 = 0.75q

Divide both sides by 0.75

9/0.75 = 0.75q/0.75

q = 12 coins

Solving for number of dollar coins

d = 26 - q

q = 12

d = 26 - 12

d = 14 coins

Therefore, the number of quarter coins is 12 and the number of dollar coins is 14 coins.

To learn more, visit the link below:

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Find the surface area of the triangular prism?.... and 31 is not the answer​
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Answer:

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Step-by-step explanation:

Surface area of triangular prism = bh + (s1 + s2 + s3)*L

Where,

b = 6 m

h = 8 m

s1 = 10 m

s2 = 8 m

s3 = 6 m

L = 7 m

Plug in the values

Surface area = 6*8 + (10 + 8 + 6)*7

Surface Area = 48 + 24*7 = 216 m²

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remember that when total value is used a negative number is turned positive so it equals to 282 feet

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Answer:

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<em>Answer</em><em> </em><em>is given below with explanations</em><em>. </em>

Step-by-step explanation:

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<em>we</em><em> </em><em>get</em><em> </em>

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Answer:

(1) How many equilateral triangles are there? ___6__

(2) What is the measure of each of the three angles in the equilateral triangle? __60°_

(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_

(4) What is the vocabulary word for the green line? _Perpendicular bisector_

(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_

(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm

(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm

(8) What is the height of the equilateral triangle?  _4√3_cm

(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²

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Step-by-step explanation:

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