Answer:
The length of side <em>b</em> is 9.
Step-by-step explanation:
Triangles are similar if they have the same shape, but can be different sizes.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
If you know that two objects are similar, you can use proportions and cross products to find the length of an unknown side. We know that the triangle
is similar to the triangle
. Therefore the following relation must be true:

We know that side
is equal to 8, side
is equal to <em>b, </em>side
is equal to
, and side
is equal to 3.
Substituting these values into the above relation and solving for <em>b</em> we get that:

<h3>
Answer is -1/4</h3>
Work Shown:
q(x) = 3x - 1
q(1/4) = 3(1/4) - 1 ... replace x with 1/4
q(1/4) = 3/4 - 1
q(1/4) = 3/4 - 4/4 ... rewrite 1 as 4/4
q(1/4) = (3-4)/4
q(1/4) = -1/4
The p(x) function is never used.
The area of a shape is the amount of space it can occupy.
<em>The surface area of the larger prism is 4 times the surface area of the smaller prism.
</em>
<em />
<em />
<em>Let the dimension of one side of the smaller prism be: l and w</em>
<em>Let the dimension of one side of the bigger prism be: L and W</em>
<em />
So, we have:


The area of these corresponding sides are:
---- the first

While, the area of the second is:


The ratio of these two sides are:

<em>This gives</em>

Cancel out common terms

Express as fractions

Also, we have:

This gives

Cross multiply


Hence, option (c) is true
Read more about areas at:
brainly.com/question/6465134
Answer:
The image shows the graph for given function.
Step-by-step explanation:
We are given the following information in the question:

It is clear function is an exponential function and have shape similar to exponential function.
An exponential function is of the form:
,
where b is a parameter of the function and read as b raised to the power x.
The exponential function enjoys the following properties:
- If 0 < b < 1, then the graph decreases as we move from left to right.
- If b > 1, then the graph will increase as we move from left to right.
X = -4 plus or minus radical 26. Steps and answer are in picture