-24+(-5.2+7.2)-(-23-9.4)

1 answer:

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This is a question testing your knowledge of order of operations. When we look at a problem we have to do certain things 1st. The order in which we attack these things is the order of operations. PEMDAS is the acronym for the order parentheses, exponents, multiplication, division, addition, and subtraction and this is the way we need to look at all problems in math. For this equation...

-24 + (-5.2 + 7.2) - (-23 - 9.4)=

First solve inside the parentheses

-24 + (2) - (-32.4) =

Simplify (don't forget minus a negative means plus positive)

-22 + 32.4 = 10.4

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The point C(2,3) is translated along a vector that is parallel to the line y=3x-2. The translation vector has magnitude square r

qaws [65]

Step-by-step explanation:

The translation vector v can be resolved into its x and y components, where x² + y² = 10 (Pythagoras' Theorem) and y = 3x

(parallel to y = 3x - 2, slope = 3).

We have x² + (3x)² = 10,

=> x² + 9x² = 10, 10x² = 10, x = 1 or x = -1.

When x = 1, y = 3. When x = -1, y = -3.

Therefore 2 possible translation vectors

are (1, 3) or (-1, -3).

First new C' = (2 + (1), 3 + (3)) = (3, 6).