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morpeh [17]
3 years ago
5

Find the equation of the circle that passes through the point (-3,1) and has its center at C(-4,6)

Mathematics
1 answer:
qaws [65]3 years ago
5 0

Answer:

(x+4)^2 + (y-6)^2 = 29

Step-by-step explanation:

The center-radius form of the circle equation is in the format (x – h)^2 + (y – k)^2 = r^2, with the center being at the point (h, k)

Replacing the center C(-4,6):

(x+4)^2 + (y-6)^2 = r^2

then replacing the point (-3,1):

(-3+4)^2 + (1-6)^2 = r^2

1 + 25 = r^2

then the equation of the circle is:

(x+4)^2 + (y-6)^2 = 29

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Explain how the following diagram demonstrates the pythagorean theorem?
Yuliya22 [10]

Answer:

the largest block represents the hypotenuse which would be c² the smallest can either be a or b and the block thats left over will be the letter you didn't use for the small block so in terms the blocks represents a²+b²=c²

7 0
3 years ago
Read 2 more answers
Help with Math PLZ (Questions in screenshot)
-Dominant- [34]

1.) Let's say that the circle on the graph below represents x. The arrow is pointing to all the numbers greater than x, which happens to be on -2. If it points right, this means that x can equal to any number greater than -2. So your answer is x > -2.

2.) For inequalities such as these, you can simplify just like what you do for normal equations. Let's isolate x.

x - 7 > 10

--> x > 10 + 7

---> x > 17

3.) 3x \leq 21

--> \frac{3x}{3} \leq  \frac{21}{3}

---> x \leq 7

4.) 5a - 2 < 18

--> 5a < 18 + 2

---> 5a < 20

----> \frac{5a}{5} < \frac{20}{5}

-----> a < 4

5.) 2t + 8 \geq -4(t + 1)

--> 2t + 8 \geq -4t - 4

---> 2t + 4t \geq -8 - 4

----> 6t \geq -12

-----> t \geq -2

7 0
3 years ago
Worth five points! it doesnt tell me if what answer is right but if i get 75% or up i will mark the first person who answered wi
Mrrafil [7]

Answer:

A

Step-by-step explanation:

Remarks

  • The given angle is an exterior angle.
  • It's value is 46 degrees.    
  • An exterior angle is the sum of the two remote angles. (A remote angle is one that is not supplementary  to the given exterior angle.

Solution

  • 46 = <u + <t
  • <t = 29
  • 46 = <u + 29               Subtract 29 from both sides.
  • 46 - 29 = <u
  • <u = 17 degrees
4 0
3 years ago
Brainers, please help me out. Thanks
quester [9]

The Pythagorean Theorem is a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse.

From the picture you have a = 10 and c = 15.

Now you have:

10^2 + b^2 = 15^2

Simplify:

100 + b^2 = 225

Subtract 100 from both sides:

b^2 = 125

Take the square root of both sides:

b = √125

b = 11.2

6 0
3 years ago
Quadratics formula 4x^2+3x-1=0
VARVARA [1.3K]

Answer: X = 1/4 or X = -1

Step-by-step explanation:

4x2+3x−1=0

(4x−1)(x+1)=0

4x−1=0 or x+1=0

4x=1 or x=-1

Now divide 4 from both sides

like this 4x/4=1/4

now cancel out two 4's so the answer will be x=1/4

3 0
3 years ago
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