1) Equation of the line
Slope, m = [-2 -1]/[0 - 2] = -3 / -2 = 3/2y-intercept, b = -2
y = 3x/2 - 2
2) InequalityThe points over the line have y-coordinate greaetr than the value of the line, then
y ≥ 3x/2 - 2
2y ≥ 3x - 4
3x - 2y ≤ 4
3) Answer: 3x - 2y less than or equal to 4.
Answer: the answer is 6
Step-by-step explanation: because 6/4 = 1.5 and 1.5• 6 =9
We are told in the question that 1 carat is equal to 200 mg.
The Hope Diamond is 44.5 carats. Let's multiply the weight of 1 carat by 44.5 to get the weight of the Hope Diamond in mg:

The total weight of the Hope Diamond is 8,900 mg. However the question asks for the weight in grams. There are 1000 mg in 1 gram, so let's divide the known weight of the Hope Diamond in mg by 1000 to get the weight converted to grams:

Now we know that
the weight of the Hope Diamond is equal to 8.9 grams.
Answer: See below.
The sine ratio is the ratio of the opposite side over the hypotenuse in a right triangle. The hypotenuse is always the largest side of a triangle.
Therefore, the denominator will always be the largest. If the denominator is larger than the numerator, it will be a number less than one.
And it will be positive because it is an acute angle so the triangle when plotting in the unit circle would only be in the first quadrant. All values in the first quadrant are positive.
Answer:
No. pp you can fit in a van: 6,
No. pp you can fit in a bus: 20
Step-by-step explanation:
Let v = # of pp in vans, and let b = # of pp in buses:
8v + 9b = 228,
4v + 5b = 124
If we solve this system of equations by substitution, we isolate the first eq. for v and then substitute into the bottom eq:
v = 228-9b/8,
Substitute v = 228-9b/8 into bottom eq:
[4 * 228-9b/8 + 5b = 125]
[228+b/2=124]
[228+b = 248]
[b = 20]
Now substitute 20 to find no. of pp in the vans:
v = 228 - 9(20)/8 = 228 - 180/8 = 48/8 = 6