#10 Write the equation of the given circle. center (-2, -2) radius of 6

1 answer:

6 0

(x - h)^2 + (y - k)^2 = r^2

h = -2
k = -2
r = 6

(x - (-2))^2 + (y - (-2))^2 = 6^2

(x + 2)^2 + (y + 2)^2 = 6^2

(x + 2)^2 + (y + 2)^2 = 36. your answer

hope this helped, blessings! :)

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Find the domain and range of the exponential function h(x) = –343^x. Explain your findings. As x decreases, does h increase or d

Snowcat [4.5K]

Answer:

As x decreases, h increases (but never touches)

As x increases, h decreases (but never touches)

Step-by-step explanation:

If you graphed the exponential, you would be able to see that it is stuck in the 3rd quadrant.

Domain: (negative infinity, 1)

Range: (negative infinity, 0)

7 0

2 years ago

Full steps and all reasons, thanks!

Nataly_w [17]

You can focus on the two sub-triangles ABC and ACD

We know that they are both right triangles, because we're given that AC and BD are perpendicular.

The sides AB and AD are the hypothenuses of these triangles, so we know their length through the pythagorean theorem:

$AD^2 = AC^2+CD^2$

$AB^2 = AC^2+BC^2$

But since we're given $BC=CD$ , the expressions for AD and AB are actually the same expression. This proves that AD=AB, and thus that the triangle is isosceles.