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3 years ago

The point D(2, -5) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, D′?

Mathematics

1 answer:

jeyben [28]3 years ago

8 0

Answer:

D' = (5, 2)

Step-by-step explanation:

Try to join D and the origin using a line. Counterclockwise means in an opposite direction of rotation of the clock hands. So draw another line towards the right which is perpendicular to the previous line to fine the answer. Remember the length of the lines should be equal.

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3 years ago

2. A six sided cube was rolled. What is the probability of showing an odd number?"

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Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

PLEASE HELP MEE!! SHOW YOUR WORK PLS

sleet_krkn [62]

Answer:

(8, -8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = x - 16

5y = 2x - 56

Step 2: Solve for x

Substitute in y: 5(x - 16) = 2x - 56
Distribute 5: 5x - 80 = 2x - 56
[Subtraction Property of Equality] Subtract 2x on both sides: 3x - 80 = -56
[Addition Property of Equality] Add 80 on both sides: 3x = 24
[Division Property of Equality] Divide 3 on both sides: x = 8

Step 3: Solve for y

Define original equation: y = x - 16
Substitute in x: y = 8 - 16
Subtract: y = -8

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3 years ago

Danielle wants to paint her daughter's room pink. Which plan will give her paint that is the least red?

NeTakaya

Step-by-step explanation:

Plan B:

2:5 = 0.4 red to 1 white

1:4 = 0.25 red to 1 white

Students might also scale up using part-to-whole-ratios and come up with 35 parts total and 14 parts red for Plan A and 35 parts total and 7 parts red for Plan B.

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2 years ago