Answer:
The equation of this line would be y = 3/2x - 11, which is the answer D.
Step-by-step explanation:
In order to find this equation we must first find the slope of the original line. The original slope (the coefficient of x) is -2/3, which means the new slope will also be 3/2 because perpendicular lines have opposite and reciprocal slopes. Now, we can use this slope along with the point in point-slope form to find the equation of the line.
y - y1 = m(x - x1)
y - 1 = 3/2(x - 8)
y - 1 = 3/2x - 12
y = 3/2x - 11
Is it adding or subtracting
All we need to do for this problem is multiply and divide. Let’s find the problems-per-minute!
6/13.5 = 0.44
Now we multiply this by 44 minutes to get the final answer.
0.44 * 44 ≈ 19 [you can’t solve 0.36 of a problem]
And there you have it! The inmates can solve 19 problems in 44 minutes online.
Answer:
6v+8
Step-by-step explanation:
you multiply the equation in parantheses by 2
Answer:
(x -3)² +(y -5)² = 36
Step-by-step explanation:
The center is on the vertical line halfway between the given vertical lines, so is at x=3. It is also on the horizontal line through the point (-3, 5), so is at y=5. The center is 9-3=6 from either tangent line, so this is the radius.
For center (h, k) and radius r, the circle's equation is ...
(x -h)² +(y -k)² = r²
For (h, k) = (3, 5) and r=6, the equation is ...
(x -3)² +(y -5)² = 36 . . . . . . . . does not match any choice written here
