Answer:
(x - 2)² + (y - 6)² = 49
Step-by-step explanation:
Equation of a circle formula: (x - a)² + (y - b)² = r²
where (a, b) is the center of the circle and r is the radius
Given, center = (2, 6) and radius = 7
Substitute this information in the equation of a circle formula.
⇒ Equation of the circle: (x - 2)² + (y - 6)² = 49
Answer:
x = 6
Step-by-step explanation:
Step 1: Write equation
-4x + 6 = 3x - 36
Step 2: Solve for <em>x</em>
- Add 4x to both sides: 6 = 7x - 36
- Add 36 to both sides: 42 = 7x
- Divide both sides by 7: x = 6
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-4(6) + 6 = 3(6) - 36
-24 + 6 = 18 - 36
-18 = -18
Answer:
-1/4
Step-by-step explanation:
We can find the slope of a line given two points by using
m = (y2-y1)/(x2-x1)
= (-2- -1)/( -4 - -8)
= (-2+1)/(-4+8)
= -1/4
Answer:
<em>The answer is (B).</em>
Step-by-step explanation:
A). y = f(x) = 6(x - 2) + 3 ⇔ y = 6x - 12 + 3 ⇔ 6x = y + 9 ⇔ x = 
g(x) = 
is inverse function of f(x) and ≠ 
- 3
<em>B).</em> y = f(x) = 
- 3 ⇔ 4y = 5x - 12 ⇔ x = 
g(x) = 
is inverse of f(x)
(y2-y1)/(x2-x1)
=(5-3)/(3-2)
=2/1
=2
so the slope is 2
hope this helps !
