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3 years ago

Write a rule to describe the transformation that is a reflection across the y-axis.

Mathematics

1 answer:

finlep [7]3 years ago

7 0

Answer:

(x,y) becomes (-x, y)

Step-by-step explanation:

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4 years ago

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3 years ago

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Step-by-step explanation:

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3 years ago

Read 2 more answers

The circumference of a circle is 78π cm. Find the diameter, the radius, and the length of an arc of 140°.

jasenka [17]

The correct answer is the option D, which is: D. 78 cm; 39 cm; 30.3π cm
The explanation is shown above:
1-The formula for calculate the circumference of a circle is:
C=2πr
78π=2πr
2- The radius is:
r=78π/2π
r=39 cm
3- The diameter is:
D=39 cm x 2
D=78 cm
4- The arc length is:
arc length=(140°π/180°)(39 cm)
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4 years ago

F(t)=t^2+19t+60 What are the zeros of the function and what is the vertex of the parabola?

SVEN [57.7K]

Answer: $-4,-15;\ \left(-\dfrac{19}{2},-\dfrac{121}{4}\right)$

Step-by-step explanation:

Given

Function is $F(t)=t^2+19+60$

Zeroes of the function are

$t^2+19t+60=0\\\\\Rightarrow t=\dfrac{-19\pm\sqrt{19^2-4\times 1\times 60}}{2\times 1}\\\\\Rightarrow t=\dfrac{-19\pm \sqrt{121}}{2}\\\\\Rightarrow t=\dfrac{-19\pm 11}{2}\\\\\Rightarrow t=-4,-15$

Using completing the square method

$y=t^2+2\times \dfrac{19}{2}t+\dfrac{19^2}{2^2}-\dfrac{19^2}{2^2}+60\\\\y=\left(t+\dfrac{19}{2}\right)^2+60-\dfrac{361}{4}\\\\y=\left(t+\dfrac{19}{2}\right)^2-\dfrac{121}{4}\\\\y+\dfrac{121}{4}=\left(t+\dfrac{19}{2}\right)^2\\\\\left(y-(-\dfrac{121}{4}\right)=\left(t-(-\dfrac{19}{2})\right)^2\\\\\text{The vertex is }\left(-\dfrac{19}{2},-\dfrac{121}{4}\right)$

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3 years ago