We have
-2x-3y <12
For this case what you should do is to graph the following straight line:
-2x-3y = 12
Then, the solution will be the shaded region that satisfies the following inequality:
-2x-3y <12
In the shaded region you will find all the solution points.
Answer:
See attached image
Answer:
The answer is 150
Step-by-step explanation:
I think what you mean with the numbers between the "I's" is <em>absolute value</em>. Any number is just that number, so the <em>absolute value </em>of -6, is 6. The absolute value of 24 is 24. That means it's simply 137+13, which is <u>150</u>.
F(x) = 2x^2 - 4x - 3
g(x) = 2x^2 - 16
f(x) + g(x)
2x^2 - 4x - 3 + 2x^2 - 16
4x^2 - 4x - 19
The slope of the given line is -1/3. The perpendicular line's slope is the opposite reciprocal of the given line's slope. So, the perpendicular line's slope is 3. Then we have slope intercept form y=mx+b
y=3x+b
We don't know "b" which is the y-intercept for this equation, but we have the coordinates (6, -1). We can use these to find the slope by plugging them into the equation.
-1=3(6)+b
-1=18+b
-1-18=18+b-18
-19=b
So, the resulting y-intercept is -19.
The final perpendicular equation would be y=3x-19
Let the length of the diameter be d and radius be r, thus to solve for d we proceed as follows:
r²+31²=(r+15)²
solving for d we solve for r
r²+961=r²+30r+225
putting like terms together we obtain:
r²-r²+961-225=30r
736=30r
solving for r
r=24.53
thus
d=24.5333×2
d=49.067~49.1
Answer is D. 49.1
