HELP ASAP:

Mathematics

1 answer:

tekilochka [14]3 years ago

5 0

Answer:

Here's how I would do it.

Step-by-step explanation:

If two triangles are similar, corresponding sides are in the same ratio.

We know the measures of b and a, so we can calculate the ratio b/a.

d and b are in the same ratio, so

$\begin{array}{rcl}\dfrac{d}{c}& = & \dfrac{b}{a}\\d & = & c \times \dfrac{b}{a}\\\end{array}$

We know the measures of c, b, and a, so we can calculate the value of d.

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Find the first five terms of each geometric sequence described <br><br> A1=1 R=4

xenn [34]

$\bf n^{th}\textit{ term of a geometric sequence}
\\\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
r=\textit{common ratio}\\
a_1=\textit{first term}\\
-------\\
a_1=1\\
r=4
\end{cases}\\\\
-----------------------------\\\\
$

$\bf \begin{array}{ccllll}
term&value\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
1&a_1=1\\
2&a_2=a_1\cdot 4^{2-1}\\
3&a_3=a_1\cdot 4^{3-1}\\
4&a_4=a_1\cdot 4^{4-1}\\
5&a_5=a_1\cdot 4^{5-1}\\
\end{array}$

3 0

3 years ago

For the function P(x) = x3 − 9x, at the point (2, −10), find the following. (a) the slope of the tangent to the curve (b) the in

Shalnov [3]

Answer:

3, in both a), b)

Step-by-step explanation:

a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.

Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is $p'(x)=3x^2-9$ . In particular, the value we are looking for is $p'(2)=3(2^2)-9=12-9=3$ .