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2 years ago

5

Tasha graphs a star with one tip at point S(-3,1). What are the coordinates of the corresponding point after a 90 rotation abo

ut the origin?

1 answer:

Rom4ik [11]2 years ago

5 0

Answer:

corresponding point after a 90° rotation is (1,3)

Step-by-step explanation:

its drawn

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c

Step-by-step explanation:

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2 years ago

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3 years ago

Find the x- and y- intercepts of parabola y=5x^2-16x+10

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Y-INTERCEPT

$y = 5x^2 - 16x + 10$

The y-intercept is where the equation/curve/parabola cosses the y-axis.

The y-axis is where x = 0. (The x-axis is where y = 0)

To find the y-intercept:

$\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10$

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

$y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0$

We need to use the quadratic formula

The quadratic formula helps us find what values of $x$ make the equation = 0

Quadratic formula: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\$

The x-intercepts are at:

$(\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)$

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1 year ago

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2 years ago

Which number is such that when it's ÷ 27 30 or 45 the remainder is always three

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closest answer = 81

Step-by-step explanation:

81/27 = 3

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81/45 = 1.8

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3 years ago