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3 years ago

Which is the location of S' when trapezoid RSTU is rotated 90° clockwise about the origin to produce trapezoid R'S'T'U? Explain.

Mathematics

1 answer:

Annette [7]3 years ago

3 0

Answer:

D. (12,3)

Step-by-step explanation:

From the graphical diagram attached below ; we would realize that the x-coordinate is in the positive direction and the y-coordinate is in the negative direction.

Initially, the location of S = 12 to the horizontal x axis from the graphical diagram. So, if the trapezoid RSTU is rotated 90° clockwise about the origin to produce trapezoid R'S'T'U, we will have :

S' = 3

Thus; the (x,y) coordinate of R'S'T'U = (12,3)

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Simplify this expression. 12x2(3x4 − 2x)

musickatia [10]

Answer:

$36*x^6-24*x^3$

Step-by-step explanation:

We can simplify the expressio using the product rule. The exponents will add up when multiplied with each other:

$=12*x^2*(3*x^4-2*x)$

$=12*3*x^(2+4)-12*2*x^(2+1)$

$=36*x^(6)-24*x^(3)$

The answer is B

$36*x^6-24*x^3$

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2 years ago

Write an equation for the function

Mila [183]

Answer:

m(u) = -0.25(u +2)² +1 or -0.25u² -u

Step-by-step explanation:

The equation is fairly easily written in vertex form, as the vertex point is on a grid line intersection at (-2, 1). The parabola opens downward, so the scale factor is negative.

The vertical change from the vertex is only a fraction of a unit when u differs from the vertex by 1. It is 1 unit when u differs from the vertex by 2, so the magnitude of the vertical scale factor is 1/2² = 1/4.

Our equation will be of the form ...

m(u) = (vertical scale factor)(u - (horizontal vertex location))² + (vertical vertex location)

For this graph, the equation is ...

m(u) = -0.25(u +2)² +1

or, simplifying, we get ...

m(u) = -0.25u² -u

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3 years ago

24 inches is 250% of what length

Alinara [238K]

The answer is: " 9.6 inches " .
________________________________________________________
Explanation:
________________________________________________________

24 = 250/100 * x ;

24 = 2.5 x ;

↔ 2.5 x = 24 ;

2.5 x / 2.5 = 24/ 2.5 ;

x = 9.6 ;

The answer is: " 9.6 inches <span>" .
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3 years ago

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RideAnS [48]

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2 years ago

Y + 2x = 4 How do I complete this?

Leviafan [203]

To solve this, what you will need to do is find the solution of one variable and then substitute it and solve for the other.

Here’s how to solve:
y+2x=4
-2x -2x

y=4-2x

4-2x + 2x =4

4=4

So if you’re trying to see if it is true, then your answer is that it’s true.

If you’re trying to find the linear equation, then your answer is y=-2x+4.

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2 years ago