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3 years ago

6

What are the similarities and differences between a rotation and a reflection

1 answer:

professor190 [17]3 years ago

6 0

Hello.

Translation: The shape or object will move left, right, up, or down. Also, you could have a combination like up and right. Rotation: The shape or object will turn. This is usually turning some degree clockwise or counterclockwise. Reflection: The shape or object flips across a line or point Dilation: The shape or object gets smaller or bigger by a scale factor.

Have a nice day

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Drag the correct tiles that match.?

Tamiku [17]

Circle geometry rule: Tangent to circle makes right angle with the radius

Please refer to the diagram below for the working out of each angle

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4 years ago

Given f(x)=2x^2+3x-5 for what values of x is f(x) positive

kow [346]

Answer:

The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)

Step-by-step explanation:

we have

$f(x)=2x^{2}+3x-5$

This is a vertical parabola open upward (the leading coefficient is positive)

The vertex is a minimum

The coordinates of the vertex is the point (h,k)

step 1

Find the vertex of the quadratic function

Factor the leading coefficient 2

$f(x)=2(x^{2}+\frac{3}{2}x)-5$

Complete the square

$f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-5-\frac{9}{8}$

$f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-\frac{49}{8}$

Rewrite as perfect squares

$f(x)=2(x+\frac{3}{4})^{2}-\frac{49}{8}$

The vertex is the point (-\frac{3}{4},-\frac{49}{8})

step 2

Find the x-intercepts (values of x when the value of f(x) is equal to zero)

For f(x)=0

$2(x+\frac{3}{4})^{2}-\frac{49}{8}=0$

$2(x+\frac{3}{4})^{2}=\frac{49}{8}$

$(x+\frac{3}{4})^{2}=\frac{49}{16}$

take the square root both sides

$x+\frac{3}{4}=\pm\frac{7}{4}$

$x=-\frac{3}{4}\pm\frac{7}{4}$

$x_1=-\frac{3}{4}+\frac{7}{4}=1$

$x_2=-\frac{3}{4}-\frac{7}{4}=-2.5$

therefore

The function f(x) is negative in the interval (-2.5,1)

The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)

see the attached figure to better understand the problem

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4 years ago

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soldi70 [24.7K]

Answer:

False

I hope this helps!

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4 years ago

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Natalka [10]

Answer: C

Step-by-step explanation: She wants to sell more than 180, so it isn't equal too. Each ticket costs $15. Good luck! :D

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3 years ago

Read 2 more answers

What is the sum of the measures of interior angles of a 15-sides polygon

oksano4ka [1.4K]

Using
sum = (n-2)180
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4 years ago