Answer:
y = -3.5x + 15
Step-by-step explanation:
Your slope-intercept equation is always y = mx + b
Using this formula, we need to find slope first: m = (y2-y1) / (x2-x1)
Step 1: Find slope
m = (1-8) / (4-2)
m = -7/2
Step 2: Plug in into slope-intercept form
y = -3.5x + b
Step 3: Find <em>b </em>(Plug in a coordinate given)
1 = -3.5(4) + b
1 = -14 + b
b = 15
Step 4: Combine it all together
y = -3.5x + 15
And you have your final answer.
Answer:
A.) 1018 square inches
Step-by-step explanation:
The largest sphere will have a diameter equaling the length of the cube (see picture).
If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:

For this formula, we need the radius of the sphere. Divide the diameter by 2:

The radius is 9 inches. Plug this into the equation:

Simplify the equation:

Round the result to the nearest whole number:
→
The surface area is 1,018 inches².
:Done
Picture:
In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.
Answer:
B
Step-by-step explanation:
a rational number is a number that can be expressed as a fraction p/q of two integers, q cannot be 0
so for A
Cannot be expressed as 2 integers as a quotient
so A is wrong
For B .125 is 1/8 so yes -2 is a integer so yes 2/5 are 2 integers so yes
and
Is 4/3 so yes
B