Answer: D
Step-by-step explanation:
First you have to figure out what each equation is. The straight horizontal line is dotted so it is < or >. It runs through y = 1 and the shading is above it so our inequality for that one is y > 1. The other line is on a slant so it has a slope and since it is solid, it will be

or

. The line goes through the origin, so the y-intercept is 0, and from that point, if we go up 2 and over 1 we find another point on the line. That means that the slope is 2/1 or 2. Since it goes through the origin, the equation for that line is y = 2x. But we need the inequality. It looks like the solutions to this line are those that are above it, as well. So

. Our solution, then, is the last choice above, d.
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph</em>
Point (-2, 0)
Point (1, 5)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Subtract/Add:

Answer:
A
Step-by-step explanation:
The lateral surface area is given by pi*r*l, we can use trigonometry to find l. 8*sqrt(3)/l=sin(60), l=16 and r is given by tan(60)=8*sqrt(3)/r, r=8. The lateral surface area is 16*8*pi=128*pi
let a non zero number be x
30 times the square root of a non zero number is 30sqrt%28x%29
equal to 8 times the number is 8x
so, we have
30sqrt%28x%29=8x...you can solve for x if you square both sides
%2830sqrt%28x%29%29%5E2=%288x%29%5E2
30%5E2%28x%29=64x%5E2
900x=64x%5E2
64x%5E2-900x=0
x%2864x-900%29=0....use zero product rule
x%2864x-900%29=0 if x=0..this is a solution, but our number should be non zero; so, we need other solution
or if %2864x-900%29=0 => 64x=900=> x=900%2F64=> x=14.0625
so, a non zero number be x=14.0625 and this is your solution
let's check this solution:
30sqrt%28x%29=8x
30sqrt%2814.0625%29=8%2A14.0625
30%283.75%29=112.5
112.5=112.5.....this confirms that our answer is correct .
sorry i messed up there.