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2 years ago

Factor: m^2 - 20m - 21

Mathematics

1 answer:

Anton [14]2 years ago

4 0

Answer: (m-21)(m+1)

Step-by-step explanation:

To factor this trinomial, find two numbers that multiply to -21 and add to -20:

(-21)(1)=-21

-21+1=-20

They are -21 and 1.

Add -21 and 1 to m to get both factors:

(m+(-21)) and (m+1)

(m-21) and (m+1)

Multiply them to get the answer:

(m-21)(m+1)

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In △ABC, m∠A=39°, a=11, and b=13. Find c to the nearest tenth.

Talja [164]

For this problem, we are going to use the law of sines, which states:

$\dfrac{\sin{A}}{a} = \dfrac{\sin{B}}{b} = \dfrac{\sin{C}}{c}$

In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, $B$ . Then, we can find the third side. Using the law of sines, we can find:

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Step-by-step explanation:

No calculus involved:

The line, in slope-intercept form, has equation $y=-10x+17$ , ie is always decreasing (easy to spot applying the definition)

Meanwhile, $y=e^{5x}$ is always increasing over its domain.

At no point the tangent will be decreasing.

Let's use calculus

We are to solve the equation $y'(x) = -10 \rightarrow 5e^{5x} = -10 \rightarrow e^{5x}=-2$ which has no real solutions.

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