The point Q(-1, 4) is reflected over the line x = -2. What are the coordinates of the resulting point, Q’?

Mathematics

1 answer:

IgorC [24]3 years ago

8 0

-1 -4 is the awnser to the question

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Renata wins a $20 gift card to an online music site. After Renata purchases 16 songs, the gift card has a remaining

amm1812

Answer: $y=20-1.25x$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

You need to analize the information given in the exercise.

You know that gift card had a total of $20. Then, since she started to buy the songs with $20, you can identify that:

$b=20$

Since Renata purchased 16 songs and the gift card had a remaining balance of $0 after this, you can find the cost of each song. This is:

$\frac{20}{16}=\$1.25$

Therefore, she spent $1.25 per song. This means that the slope is:

$m=-1.25$

Then, you get that the equation that represents the relationship between "y" (the remaining balance on Renata's gift card) and "x" (the number of songs purchased) is:

$y=20-1.25x$

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3 years ago

A circle has a radius of 3 cm. How does the circumference of the circle compare to the area? Drag and drop a phrase to correctly

Lilit [14]

The circumference is about 3.14 ( $\pi$ ) times bigger than twice the radius. Mathematically, this can be writted as $C = 2 \pi r$ , where C equals the circumference and r equals the radius, or $C = \pi d$ where C equals the circumference and d equals the radius.