Answer: (x + 6)² + (y + 5)² = 17
Explanation:
1) The equation of a circle is: (x - a)² + (y - b)² = r², wnere:
a is the x-coordinate of the center of the circleb is the y-coordinate of the center of the circler is the radius of the circle
2) Since the points (-7,-1) and (-5,9) define a diameter, you can find the center of the circle as the mid point of the diameter:
x-coordinate of the mid point = (-7 - 5) / 2 = - 12 / 2 = - 6
y-coordinate of the mid point = (-9 - 1)/ 2 = - 10 / 2 = - 5
Therefore, the center of the circle is (-6,-5)
3) The radius of the center is half the diameter.
The length of the diameter is found using the formula for the distance between two points applied to the two endopoints given:
diameter² = (7 - 5)² + (- 1 + 9)² = 2² + 8² = 4 + 64 = 68
⇒diameter = √68 = 2√17
⇒ radius = diamter / 2 = 2√17 / 2 = √17
4) Now you can replace the coordinates of the center and the radius into the equation:
(x + 6)² + (y + 5)² = 17
Answer:
he fraction 1/10 would be written as the decimal 0.1.
Step-by-step explanation:
Answer:
they are both divisible by 3
7 x 3 = 21
5 x 3 = 15
Step-by-step explanation:
hope this helps lucas (mr. calvelo)
The answer for B is: 40 - (7.50 x 4) = 10 Because 7.50 x 4 = 30 and 40 - 30 = 10 So they are left with $10 after paying for the tickets
The answer for C is: Miguel and his 3 friends started with $40 and had a fee of $7.50 for each ticket and there are 4 people. 4 x 7.50 = 30 and 40 - 30 = 10 so they are left with $10 to spend on snacks and other stuff!
Idk the answer for D sorry about that!
Hope this helps!
Answer:
Solve for a
a12−3(a−1)=11+a
Write the problem as a mathematical expression.
a12−3(a−1)=11+a
Simplify each term.
a12−3a+3=11+a
Graph each side of the equation. The solution is the x-value of the point of intersection.
a≈−1.1114621,1.23792371
Step-by-step explanation:
