Factor this expression. Select the correct answer from each drop-down menu.

Mathematics

2 answers:

umka21 [38]3 years ago

7 0

The answer is (3x+4)(x-5)

ExtremeBDS [4]3 years ago

7 0

Answer:

2 and 5

Step-by-step explanation:

Use the sum-product pattern

3x^{2}{\color{#c92786}{-11x}}-20

3x^{2}+{\color{#c92786}{4x}}{\color{#c92786}{-15x}}-20

Common factor from the two pairs

3x^{2}+4x-15x-20

x(3x+4)-5(3x+4)

Rewrite in factored form

x(3x+4)-5(3x+4)

(x-5)(3x+4)

Solution

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3 years ago

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blsea [12.9K]

Answer:

3/2

Step-by-step explanation:

sin(3π/4 - β) = sin(3π/4)cosβ - cos(3π/4)sinπ =

$\sin(\frac{3\pi}{4}-\beta)=\sin(\frac{3\pi}{4})\cos\beta-\cos\frac{3\pi}{4}\sin\beta\\=\frac{1}{\sqrt{2}}\cos\beta-(-\frac{1}{\sqrt{2}})\sin\beta\\\\=\frac{1}{\sqrt{2}}(\cos\beta +\sin\beta)\\\\\sin^2(\frac{3\pi}{4}-\beta)=\frac{1}{2}\cos\beta +\sin\beta)^2=\frac{1}{2}(\cos^2\beta +\sin^2\beta+2\sin\beta\cos\beta\\=\frac{1}{2}(1+\sin2\beta)=\frac{1}{2}(1-\frac{1}{5}) = \frac{2}{5}\\$