What transformation is represented by the rule (x, y)→(−y, x)?

1 answer:

7 0

C. reflection of the y axis, the y turned from a positive to a negative y while x is still the same

Hope I helped you:)

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Find the area of a circle with diameter 12 cm.

luda_lava [24]

Answer:

113.04 cm.

Step-by-step explanation:

Step 1: Formula/explain

To find the area of a circle, multiply the radius by itself twice, then multiply the product pi.

$a=\pi r^2(3.14*radius*radius)$

Step 2: Solve

According to the word problem, the circle has a diameter of 12. This means it has a radius of 6.

Now, we plug the numbers into formula.

$\pi 6^2 (3.14*6*6)=113.04$

Step 3: Conclude

Therefore, the area of this circle is 113.04 cm.

3 0

2 years ago

If the function f (x) has a domain of (a,b] and a range of [c,d), then what is the domain and range of g (x) = m × f (x) + n?

xz_007 [3.2K]

<h3>Answer: Choice A</h3>

Domain = (a,b]

Range = [mc + n,md + n)

==============================================

Explanation:

The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).

Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.

-------------------

The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...

g(x) = m*f(x) + n

g(x) = m*c + n

All we're doing is replacing f with c.

So that means mc+n is the starting point of the range for g(x).

The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.

6 0

2 years ago

ILL GIVE U STUFFFFF PLZZZZZZZZZZZ ANSWER ITTTTTTTTT

belka [17]

Answer:

Slope: $-\frac{3}{4}$

Y-intercept: 399

Slope-intercept form: $y=-\frac{3}{4}x+399$

Step-by-step explanation:

1. The equation in Standard form is given in the problem:

$3y+4y=1596$

2. Then, to write the equation of the line in slope-intercept form $y=mx+b$ , where m is the slope and b is the y-intercept, you must solve for y as you can see below: