Converting centimeters to the units of inches, we have to multiply a value with 2.54. From this, we can say that the relationship is linear. A linear relationship can be represented by an equation such as:
y = kx
For this case, k is 2.54. When the measurement in centimeters increase, its form in inches units as well increase.
Answer:32
Step-by-step explanation:
perimeter is the sum of the length of its four sides
2l plus 2w
- 8 multiply 2=6
- 12 multiply 2=24
- 24plus 8 =32
- l =8
- w=12
The equation "y=mx+b" is the slope-intercept forme of a line with slope "m" and y-interceptept (0,b)
In this case:
y=2x+5;
the slope "m" will be equato to : "2".
Answer: the slope is 2.
Answer:
Step-by-step explanation:For any shape it’s always true that for volume
V
the surface area is: =2‾‾‾√3
for some constant depending on the shape. So to work out the surface area from the volume we just need to know the value of for the shape in the question.
For a cube for example we have that =6, assuming consistent units i.e.: unit 2 for area and unit 3
3
for volume.
More generally if we have formula for both volume and surface area in terms of a particular one dimensional measurement
d
of the shape then we can always write these formula in the form:
=13
=12
for constants constants 1 and 1
. Then we have:
=1‾‾‾√3
=1(1)2‾‾‾‾‾‾√3
=121‾‾‾√32‾‾‾√3
and therefore:
=121‾‾‾√3
For example for a sphere we have that that =42 and =433 and therefore:
=4(43)2‾‾‾‾‾‾√3
=36‾‾‾‾√3
So if a particular sphere has volume =8 then we can calculate its surface area to be:
=36‾‾‾‾√382‾‾√3=436‾‾‾‾√3 m2
Answer:
A.
Step-by-step explanation:
We are given the two points (2,7) and (4,-1). In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope <em>m.</em> Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:

Thus, the slope is -4.
Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:

Where (x1, y1) is a coordinate pair and m is the slope.
Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:

This is also slope-intercept form. The answer is A.