Answer: (x - 2)² + (y - 3)² = 4
<u>Step-by-step explanation:</u>
The equation of a circle is: (x - h)² + (y - k)² = r² where
- (h, k) is the center of the circle
- r is the radius of the circle.
Given: (h, k) = (2, 3) and (x, y) = (2, 1)
Input those values to find r²:
(x - h)² + (y - k)² = r²
(2 - 2)² + (1 - 3)² = r²
0 + 4 = r²
4 = r²
Now input (h, k) = (2, 3) and r² = 4 into the equation of a circle:
(x - h)² + (y - k)² = r²
(x - 2)² + (y - 3)² = 4
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 and c = 8, then
y = - 2x + 8 → C
Answer:
An equation in standard form modeling this situation is:
75x + 50x = 425
Step-by-step explanation:
Let
x represent the number of pairs of socks you buy
y represent the number of pairs of gloves you buy
Each pair of Socks in store cost 75php, and each pair of gloves costs 50php. If you want to spend exactly 425php.
The equation is given as:
75php × x + 50php × y = 425php
= 75x + 50y = 425
Therefore,
the equation in standard form modeling this situation is:
75x + 50x = 425
Answer:
DC = DA Given
DB = BD Reflexive property
ΔDCB ≅ ΔDAB LH
∠DBC = ∠ABD = 20°
Hope this helps!
