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allochka39001 [22]
3 years ago
11

Find the standard equation of a circle that passes through the point (−1, 1) with center (2, 3).

Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0
The equation of a circle is
  (x-h)² + (y-k)² = r²
for center (h, k) and radius r. Of course, the radius can be computed by putting the point in the equation.
  (x-2)² + (y-3)² = (-1-2)² + (1-3)² = 9+4 = 13

The standard equation of the circle is (x-2)² + (y-3)² = 13.

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The line that passes through the given point and has the given slope for (-1,-4), m = -2​
alisha [4.7K]

Answer:

y = -2x - 6

Step-by-step explanation:

y = -2x + b

-4 = -2(-1) + b

-4 = 2 + b

-6 = b

y = -2x - 6

3 0
2 years ago
Please help ASAP thank you!!!!
mart [117]

Answer:

41. f⁻¹(x) = -9x + 4

43. m⁻¹(x) = ∛(x-2)/4  

Step-by-step explanation:

41. y = (4-x)/9

swap x and y: x = (4-y)/9

solve y: 9x = 4-y

             y = -9x + 4

45. y = 4x³+2

     x = 4y³+2

     4y³ = x-2

     y³ = (x-2)/4

     y = ∛(x-2)/4

Let you do 42 and 46 by yourself

5 0
3 years ago
What is the answer to 4x<12
Korolek [52]
All you'd do is divide by 4 on both sides,

4/4 = 1
12/4 = 3

Your Answer:
x < 3

5 0
3 years ago
Read 2 more answers
In the diagram below of circle 0, diameter AB is
Nina [5.8K]

Answer:

C. 55°

Step-by-step explanation:

The computation of mAC is shown below:

Given that

Diameter AB would be parallel to CD

McD = 70

Based on the attached diagram and the above information

mAC is

= (180 - 70) ÷ 2

= 55 degrees

hence, the correct option is third

8 0
2 years ago
Which equation represents an exponential function with an initial value of 500
WITCHER [35]
Exponential function is characterized by an exponential increase or decrease of the value from one data point to the next by some constant. When you graph an exponential function, it would start by having a very steep slope. As time goes on, the slope decreases until it levels off. The general from of this equation is: y = A×b^x, where A is the initial data point at the start of an event, like an experiment. The term 'b' is the constant of exponential change. This is raised to the power of x, which represents the independent variable, usually time.

So, the hint for you to find is the term 500 right before the term with an exponent. For example, the function would be: y = 500(1.8)^x.
7 0
3 years ago
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