Answer:
Step-by-step explanation:
We can see the lines are parallel
The function f(x) has y-intercept of 2 at point (2, 0) and the function g(x) has y-intercept of -3 at point of (-3, 0)
If f(x) = mx + 2, then g(x) = mx - 3
<u>The value of k is the difference of y-intercepts as slopes are same due to lines being parallel:</u>
- g(x) = f(x) + k
- k = g(x) - f(x)
- k = (mx - 3) - (mx + 2)
- k = -3 - 2
- k = -5
So the answer is k = -5
Answer:
Scalene triangle
Step-by-step explanation:
the given triangle is scalene triangles because the every angle measures different.
Answer:
E. None of the above
Step-by-step explanation:
Arc length = radius • angle in radians
30 deg = 0.523599 rad
L = 12 • 0.523599 = 6.28319
2π = 6.28319
Answer is E. None of the above
A) after 5 years she will pay $7,200
b) she will save $2880
Answer:
55
Step-by-step explanation:
Let x represent the middle integer. Then the smallest is x-2 and the largest is x+2. Your requirement is that ...
(x-2)/(x+2) > 2/3
3x -6 > 2x +4 . . . . cross multiply
x > 10 . . . . . . . . . . .add 6-2x
The smallest integer satisfying this requirement is x=11. The sum of the 5 integers is 5x = 55.
The smallest sum is 55.