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Mars2501 [29]
2 years ago
13

What is the equation of the circle with center (0, 0) that passes through the point (–4, –6)?

Mathematics
1 answer:
Vadim26 [7]2 years ago
4 0

If the center is in point P(a,b) and has a radius r then circle equation is:

(x-a)²+(y-b)²=r².

In your task we've got P(0,0) so the circle equation is x²+y²=r².

We have to find r. Radius start at (0,0) and end at (-4,-6) therefore

r=√((-4)²+(-6)²) and

r²=(-4)²+(-6)²=16+36=52.

So answer is x²+y²=52.

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If f(x) =5x-6 what is the inverse of f(x)
Akimi4 [234]

Replace f(x) with y:

y = 5x-6

Swith the variables:

x = 5y -6

Now solve for y:

add 6 to each side:

x +6 = 5y

Divide both sides by 5:

y = (x+6)/5

Now replace y with the inverse function f^-1 (x):

f^-1(x) = (x+6)/5

8 0
3 years ago
From a hot-air balloon, Brody measures a 39° angle of depression to a landmark
EleoNora [17]

The balloon's vertical distance above the ground is 430 feet.

<h3>What is the angle of depression?</h3>

You look straight parallel to the ground. But when you have to watch something down, then you take your sight down by moving your head up.

The angle from horizontal to the point where you stopped your head is called the angle of depression.

From a hot-air balloon, Brody measures a 39° angle of depression to a landmark that's 532 feet away, measuring horizontally.

The angle of depression = 39°

The base = 532

We need to find the vertical distance consider perpendicular.

\rm Tan \theta = \dfrac{perpendicular}{base } \\\\\rm Tan 39 = \dfrac{perpendicular}{532} \\\\\rm Tan 39 \times 532 =perpendicular\\\\0.80 \times 532\\\\P = 430.80

Therefore, the balloon's vertical distance above the ground is 430.80 feet.

Learn more about the angle of depression here;

brainly.com/question/23931413

#SPJ1

4 0
2 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.
almond37 [142]

Answer:

angels on a triangle = 180°

so you add 75 and 50 which gives you 125 then u take away that by 180 to find x (Just the process)

and that's your answer

4 0
2 years ago
Read 2 more answers
Which of the following equation has both -6 and 6 as possible values of c.... C²=36, c³=216, or none of the above
erastova [34]

Answer: THe equation C²=36 can have both -6 and 6 as possible values since -6 squared is 36 and so is 6 squared

7 0
3 years ago
Can some pls help me
Lilit [14]

Answer:

B) -3

Step-by-step explanation:

The sum of the three angles of any triangle is equal to 180 degrees.

180-50-87 = 43.

43 = x+46

x = 43-46

x = -3

7 0
2 years ago
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