The equation of a circle exists:
, where (h, k) be the center.
The center of the circle exists at (16, 30).
<h3>What is the equation of a circle?</h3>
Let, the equation of a circle exists:
, where (h, k) be the center.
We rewrite the equation and set them equal :
We solve for each coefficient meaning if the term on the LHS contains an x then its coefficient exists exactly as the one on the RHS containing the x or y.
-2hx = -32x
h = -32/-2
⇒ h = 16.
-2ky = -60y
k = -60/-2
⇒ k = 30.
The center of the circle exists at (16, 30).
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Answer:
X=107°
Step-by-step explanation:
180-73=107
this is to get the angle on the opposite side of the 73.
corresponding angles are similar hence angle x is 107°
Answer:
t = 1.5 hours
Step-by-step explanation:
Given that,
A man walk for 2hr at 6 km/h.
He then cycled for a certain time at 16 km/h.
He travelled 36 km all together.
We need to find for how many hours did he cycle.
Distance walked in 2 hours = 2×6 = 12 km
Distance he cycled = 36-12 = 24 km
Let he cycled for t hours. So,
So, he cycles for 1.5 hours.
Answer:
Step-by-step explanation:
4x^2 is the quadratic
3x is linear
-6 is the constant.
Answer:
1.778 times more or 16/9 times more
Step-by-step explanation:
Given:
- Mirror 1: D_1 = 8''
- Mirror 2: D_2 = 6"
Find:
Compare the light gathering power of an 8" primary mirror with a 6" primary mirror. The 8" mirror has how much light gathering power?
Solution:
- The light gathering power of a mirror (LGP) is proportional to the Area of the objects:
LGP ∝ A
- Whereas, Area is proportional to the squared of the diameter i.e an area of a circle:
A ∝ D^2
- Hence, LGP ∝ D^2
- Now compare the two diameters given:
LGP_1 ∝ (D_1)^2
LGP ∝ (D_2)^2
- Take a ratio of both:
LGP_1/LGP_2 ∝ (D_1)^2 / (D_2)^2
- Plug in the values:
LGP_1/LGP_2 ∝ (8)^2 / (6)^2
- Compute: LGP_1/LGP_2 ∝ 16/9 ≅ 1.778 times more
