Answer:
f(x) = -7x + 1
Step-by-step explanation:
Slope intercept form is
y = mx + b
m is slope
b is y-intercept
--------------------------
y decreases by 7 for each increase of 1 in x
slope = -7
to find "b" plug in one of the points and m = -7
using point (3, -20)
y = mx + b
-20 = -7(3) + b
-20 = -21 + b
b = 1
The equation is
f(x) = -7x + 1
So first, let's calculate the total volume of all metal spheres.
Total volume = number of spheres * 4/3* πr³
Total volume = 24*4/3*3.14*4³ = 6430.72 cm³
Now, let's equate this to the volume of the rectangular prism. The volume of a rectangular prism is:
V = LWH, where L is the length, W is the width and H is the height
Thus,
6430.72 = (6 cm)(2 cm)(H)
Solving for H,
<em>H = 535.9 cm</em>
Answer:
The distance between these 2 points is 13.
Step-by-step explanation:
Picture the 2 points on a graph as a right triangle, where the hypotenuse of that right triangle is the distance between the points. It is very easy to find the length of the legs of that triangle, and you can use those legs to calculate the length of the hypotenuse.
First, find the vertical distance, or the distance between the y-coordinates. Either just look at a graph and count, or subtract them.

Distance is an absolute value from 0, so -12 is the same as 12.
Next, find the horizontal distance between the x-coordinates.

Now, we have the length of the legs, 5 and 12. Use the pythagorean theorem to find the length of the hypotenuse:

The distance between these 2 points is 13.
Answer:
Step-by-step explanation
Cluster- a group of points that close together
symmetry- data is balanced on opposite sides of a point or line
spread- how close or far apart the values are in a data set
center- the middle of a data set
gap- a space between data values