Answer:
9 4/7 + 8 5/6 = 773/
42
= 18 17/
42
= 18.4047619
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given x² + y² + 4x - 10y + 20 = 0
Collect x and y terms and subtract 20 from both sides. that is
x² + 4x + y² - 10y = - 20
To obtain standard form use the method of completing the square
add ( half the coefficient of the x/y term )² to both sides
x² + 2(2)x + 4 + y² + 2(- 5)y + 25 = - 20 + 4 + 25
(x + 2)² + (y - 5)² = 9 ← in standard form
with centre = (- 2, 5) and r = = 3 → C
<h3>
Answer: B) the function g(x) has a larger slope</h3>
===================================================
Explanation:
The slope of f(x) is 4, since the equation y = 4x+2 has slope m = 4. Compare this to y = mx+b.
The slope of g(x) is 5. Note how if we started at (0,-2) on the red line and moved up 5 and to the right 1, we arrive at (1,3) which is another point on the red line. You could use the slope formula
m = (y2-y1)/(x2-x1)
to get the same result.
Since the slope of f(x) is 4 and the slope of g(x) is 5, we see that g(x) has a larger slope. The g(x) line is steeper compared to f(x).
Answer:
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