Answer:
[See Below]
Step-by-step explanation:
<h2>For Point Slope Form:</h2>
Point slope form is:
'm' is the slope
(x1, y1) is a coordinate point.
<h3>Slope:</h3>
Slope is rise over run.
We are given the points (-1,5) and (3,-3).
The slope of the line is -2.
I will use (-1,5) as the point:
<h2>For Slope Intercept:</h2>
Slope intercept is:
'm' - Slope
'b' - y-intercept
We can use the point slope equation to convert it into slope intercept form:
<h2>For Standard Form:</h2>
Standard form is
Using out slope intercept form equation:
Answer:
Step-by-step explanation:
Answer:
If two figures are similar, then the correspondent sides are related by a constant factor.
For example, if the base of one side of one of the figures has a length L, then the correspondent side of the other figure has a length k*L where k is the scale factor.
Let's start with the two left triangles.
In the smaller one the base is 5, and the base of the other triangle is 15.
Then we will have:
15 = k*5
15/5 = k = 3
The scale factor is 3.
Then we will have that:
a = scale factor times the correspondent side in the smaller triangle:
a = k*3 = 3*3 = 9
a = 9
For the other two triangles, the base of the smaller triangle is 12, while the base of the larger triangle is 20.
Then we will have the relation:
12*k = 20
k = (20/12) = 10/6 = 5/3
The scale factor is 5/3
This means that the unknown side b is given by:
b*(5/3) = 15
b = (3/5)*15 = 3*3 = 9
b = 9.
Answer:
3619.11 cubic inches
Step-by-step explanation:
volume of a cylinder is
diameter is 16 in, so radius (r) is 8 in
plug in values: cubic inches