Answer:
Yes, at positive x-coordinates.
Step-by-step explanation:
Finding the equation for g(x):
Slope = (3-6)/ (1-0) = -3
y-intercept = y value when x = 0 = 6.
So g(x) = -3x + 6
Solve them simultaneously:
x^2 + y^2 = 16
g(x) : y = -3x + 6
Substitute for y in the first equation:
x^2 + (-3x + 6)^2 = 16
x^2 + ( 9x^2 - 36x + 36) = 16
10x^2 - 36x + 20 = 0
5x^2 - 18x + 10 = 0
x = [-(-18) +/- sqrt ( (-18)^2 - 4 * -18 * 10)] / (5*2)
= ( 18 +/- sqrt 124 )/ 10
= (1.8) +/- 1,114
These 2 roots are both positive.
Answer:
<h2>-6x + 7y = 11</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
The formula of a slope:
We have the points (-3, -1) and (1/2, 2). Substitute:
Convert to the standard form Ax + By = C:
<em>multiply both sides by 7</em>
<em>use the distributive property</em>
<em>subtract 7 from both sides</em>
<em>subtract 6x from both sides</em>
Answer:
Step-by-step explanation:
The equations are:
The two graphs intersect when:
To find the area under the curve for the first equation:
To find the area under the curve for the second equation:
To find the total area:
Simplifying the equation:
Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).
Answer:
answer D or the 4th answer