The equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Based on the calculations, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5²
The equation of a circle.
Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center.
r is the radius of a circle.
The midpoint of the given points represents the center of this circle:
h = (4 + 4)/2 = 4
k = (5.5 + 10.5)/2 = 8
Next, we would determine the radius by using the distance formula for coordinates:
r = √[(x₂ - x₁)² + (y₂ - y₁)²]
r = √[(4 - 4)² + (10.5 - 5.5)²]
r = √[0² + 5²]
r = √25
r = 5 units.
Therefore, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
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Answer:
75 miles
Step-by-step explanation:
8 × blank how many times does. 8 go into 120 it goes in 15 times so now we got 15 what is 15×5 because. 8 km is 5m
Where is the picture???????
Answer:
y = -6/7x + 16
Step-by-step explanation:
Use the slope intercept equation, y = mx + b
Plug in the slope and given point, then solve for b:
y = mx + b
4 = -6/7(14) + b
4 = -12 + b
16 = b
Plug in the slope and b into the equation:
y = mx + b
y = -6/7x + 16
So, the equation is y = -6/7x + 16
Problem 1
We have two possible answers here.
Either AC = DF is needed, or AB = DE is needed
We can't use BC = EF, as that would be ASA. The sides cannot be between the marked angles. With AAS, the sides are not between the angles.
Note: AC pairs up with DF because both segments have an endpoint at an angle with one arc marking. AB pairs up with DE because one endpoint has a double arc marking.
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Problem 2
We have a pair of congruent sides (due to the tickmarks) and a pair of congruent angles. We need another pair of angles. We can't pick angle B = angle E, as that would give us ASA. So we must pick the other pair of angles
angle A = angle D
If angle A = angle D, then we have enough to use AAS.