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3 years ago

Factor this quadratic expression: a2 - 2a - 15

Mathematics

2 answers:

Mumz [18]3 years ago

8 0

A² - 2a - 15
= a² - 5a + 3a - 15
= a(a-5) + 3(a-5)
= (a-5)(a+3)

Sliva [168]3 years ago

7 0

A^2-2a-15

1. Ask: Which two numbers add up to -2 and multiply to -15?
-5 and 3

2. Rewrite the expression using the above
(a-5)(a+3)

Have a nice day :D

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Bas_tet [7]

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Step-by-step explanation:

Sum of the interior angles of a 5-sided polygon = 540°

Therefore all the interior angles of the given polygon would all be equal to 540°.

Thus:

(4x - 25)° + (3x + 25)° + (2x - 3)° + (4x)° + (3x + 15)° = 540°

Solve for x

4x - 25 + 3x + 25 + 2x - 3 + 4x + 3x + 15 = 540

Combine like terms

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3 years ago

Find the sum of a finite geometric sequence from n=1 to n=8, using the expression -2(3)^n-1

MissTica

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
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\begin{cases}
n=8\\
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r=3
\end{cases}\implies S_8=-2\left( \cfrac{1-3^8}{1-3} \right)
\\\\\\
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