Answer:
Step-by-step explanation:
(8,2),(11,-13)
slope(m) = (-13 - 2) / (11 - 8) = -15/3 = -5
y = mx + b
slope(m) = -5
(8,2)...x = 8 and y = 2
now we sub and find b, the y int
2 = -5(8) + b
2 = -40 + b
2 + 40 = b
42 = b
so ur equation is : y = -5x + 42...now we need it in standard form
Ax + By = C
y = -5x 42
5x + y = 42 <====
Answer:
<h2>The radius is 4 units long.</h2>
Step-by-step explanation:
The given equation is

This equation belongs to a circle, which center is at (0.5, 3.5) and its radius is 4.
You can deduct its elements, becase this equation of the circle is explicit, which means the constant term represents the square power of the radius. Solving that, we have

Therefore, the radius is 4 units long.
Answer:

Step-by-step explanation:
Let p be the number of identical packages.
We have been given that each package has a mass of 37.4 kg, so weight of p packages will be 37.4p.
The total mass of Renna and her load of identical packages is 620 kg.
We have been given that the mass limit for the elevator is 450 kg. This means that Renna can remove p packages from 620 kg such that 620 minus weight of p packages will be less than or equal to 450 kg.
We can represent this information in an inequality as:

Therefore, the inequality
can be used to determine the number of packages, p, Renna could remove from the elevator to meet the mass requirement.
Answer:
Below.
Step-by-step explanation:
30 kg 500g + 28kg 700g
= 58kg + 1200g
= 59kg 200g.
Difference
= 30 kg 500g - 28kg 700g
= 2kg + 500 - 700
= 2kg - 200g
= 1kg 800g.