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4 years ago

Numerical expressions:(I need help) 1.) x-27=(-14) x=? 2.) x-72=12 x=? 3.) x*12=60 x=?

Mathematics

1 answer:

tensa zangetsu [6.8K]4 years ago

5 0

1). Add 27 to each side of the equation.

2). Add 72 to each side of the equation.

3). Divide each side of the equation by 12.

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Which statement explains the relationship of sides BA and B'A' after rectangle BADC has been rotated 90° clockwise about the ori

Leni [432]

Answer:

Numbering the options, we have;

1) Side B'A' has a slope of −1 and is perpendicular to side BA.

2) Side B'A' has a slope of 1 and is parallel to side BA.

3) Side B'A' has a slope of 1 and is perpendicular to side BA.

4) Side B'A' has a slope of −1 and is parallel to side BA.

The correct option is;

1) Side B'A' has a slope of -1 and is perpendicular to side BA

Step-by-step explanation:

The given coordinates are;

A(3, 5) B(1, 3), C(5, -1) and D(7, 1)

The slope of BA is found as follows;

$Slope \, of BA= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} =\dfrac{3-5}{1-3}= \dfrac{-2}{-2} = 1$

Rotation of a line through 90 degrees gives

(x, y) will be (y, -x)

Therefore, the coordinates of A' = (5, -3)

The coordinates of B' = (3, -1)

Then the slope is given as follows;

$Slope \, of \, B'A' =\dfrac{-1 -(-3)}{3-5}= \dfrac{2}{-2} = -1$

Therefore side B'A' has a slope of -1 and is perpendicular to side BA.

8 0

4 years ago

To define the picture plane, the two-dimensional artist must establish

xz_007 [3.2K]

The correct answer among the choices given is option D. To define the picture plane, the two-dimensional artist must establish a vanishing point/horizon. linear perspective is a design where parallel lines converge into a point on an imaginary line or the vanishing point creating an illusion of depth on a two-dimensional surface.

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4 years ago

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Write the sign that will make the equation true 57.21 5.721=10

RideAnS [48]

Put a division sign in between 57.21 and 5.721

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3 years ago

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If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?

nika2105 [10]

<h3>Answer:</h3>

consider D for a second. (a + b) × would give you (2×-4) + (× + 2) = 3×-2 which is not a quadratic

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3 years ago

Was a major accomplishment of both Tutankhamun and Rameses II. Plz help

LenKa [72]

Answer:

AA similarity. The angles in both are the same.

Edit: I don't know if you need this, but a major accomplishment of King Tut and Ramses was that they encouraged the following of ancient religious beliefs among the Egyptian people .

Hope that this helps!

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3 years ago