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2 years ago

(-7x2 - 4x – 1) – (6x² + 4x)

Mathematics

1 answer:

marin [14]2 years ago

3 0

Answer:

Step-by-step explanation:

$-7x^{2} -4x -1 -6x^{2} -4x\\\\-13x^{2} - 8x - 1$

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Find the exact value of sin2 theta given sin theta =5/13, 90°<theta <180°

Zepler [3.9K]

Now, we know that 90°< θ <180°, that simply means the angle θ is in the II quadrant, where sine is positive and cosine is negative.

$\bf sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{hypotenuse}{13}}\impliedby \textit{now let's find the \underline{adjacent side}}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}$

$\bf \pm\sqrt{13^2-5^2}=a\implies \pm\sqrt{144}=a\implies \pm 12 =a \implies \stackrel{II~quadrant}{-12=a}
\\\\\\
therefore \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{-12}}{\stackrel{hypotenuse}{13}}
\\\\
-------------------------------\\\\
sin(2\theta )\implies 2sin(\theta )cos(\theta )\implies 2\left(\frac{5}{13} \right)\left( \frac{-12}{13} \right)\implies -\cfrac{120}{169}$

3 0

3 years ago

What is the <br> area of 3in 4in 5in

alexdok [17]

Answer:

60inches

Step-by-step explanation:

3 times 4 equals 12. 12 times 5 equals 60. so the volume should be 60 inches.

6 0

3 years ago

Read 2 more answers

Solve x2-x-5/2 = 0 using the quadratic formula.<br><br> the answer choices are in the picture

allsm [11]

Answer:

Exact Form: x =( 1 ± √ 11) /2

It's the first one.

Step-by-step explanation:

Solve the equation for x by finding a , b , and c of the quadratic then applying the quadratic formula.

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3 years ago

Write each number as a product of the GCF and another sum. Then use the Distributive Property to rewrite the sum. 45 + 30 = (15

Lorico [155]

Answer:

x=5/2

Step-by-step explanation:

Calculate, rewrite, remove the paretheses

Collect the like terms

Swap sides 75=30x swap to 30x=75

Then divide both sides

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3 years ago

A box contains 3 items that are labeled a, b, and

Mars2501 [29]

you could pick:

A & B

A & C

B & C

B & A

C & A

C & B

7 0

3 years ago