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2 years ago

8

Every positive real number has a positive and a negative square root, the ________ root is called the principal root. *

1 answer:

fomenos2 years ago

5 0

9514 1404 393

Answer:

B) positive

Step-by-step explanation:

For even-index roots, which may be either positive or negative, the <u> </u><u><em>positive</em></u><u> </u> root is called the principal root.

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A car completes a journey at an average speed of 40km/h.At what speed must it travel on the return journey if the average speed

nalin [4]

The distance, s = 40t₁ where t₁ is the time to complete the outward journey.
The same distance = vt₂ where t₂ is the time to complete the return journey at speed v.
For the whole journey, 2s=60(t₁+t₂). Therefore s=30(t₁+t₂)=40t₁=vt₂.
30t₁+30t₂=40t₁, 10t₁=30t₂, t₁=3t₂, so s=120t₂=vt₂ and v=120kph.

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3 years ago

Find values of  that satisfy the equation for 0º    360º and 0  θ  2 . Give answers in degrees and radians.

suter [353]

Answer:

$\theta = 30^\circ, 330^\circ$

$\theta = \frac{\pi}{6}, \frac{11\pi}{6}$

Step-by-step explanation:

Given [Missing from the question]

Equation:

$cos\theta = \frac{\sqrt 3}{2}$

Interval:

$0 \le \theta \le 360$

$0 \le \theta \le 2\pi$

Required

Determine the values of $\theta$

The given expression:

$cos\theta = \frac{\sqrt 3}{2}$

... shows that the value of $\theta$ is positive

The cosine of an angle has positive values in the first and the fourth quadrants.

So, we have:

$cos\theta = \frac{\sqrt 3}{2}$

Take arccos of both sides

$\theta = cos^{-1}(\frac{\sqrt 3}{2})$

$\theta = 30$ --- In the first quadrant

In the fourth quadrant, the value is:

$\theta = 360 -30$

$\theta = 330$

So, the values of $\theta$ in degrees are:

$\theta = 30^\circ, 330^\circ$

Convert to radians (Multiply both angles by $\pi/180$ )

So, we have:

$\theta = \frac{30 * \pi}{180}, \frac{330 * \pi}{180}$

$\theta = \frac{\pi}{6}, \frac{33 * \pi}{18}$

$\theta = \frac{\pi}{6}, \frac{11 * \pi}{6}$

$\theta = \frac{\pi}{6}, \frac{11\pi}{6}$

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2 years ago

Whats a function rule for -3,-7,-11,-15

nikklg [1K]

Answer:

Subtract 4

Step-by-step explanation:

-3 - 4 = -7

-7 - 4 = -11

-11 - 4 = -15

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3 years ago

If f(x)=4x^2+1 g(x)=x^2-5find (f-g)(x)

JulsSmile [24]

ANSWER: 3x^2 + 6

4x^2 + 1 - (x^2 - 5) = 3x^2 + 6

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3 years ago

Is the graph of a function rule that relates a squares area to its side length continuous or discrete? Explain

Hoochie [10]

Continuous, because its the area.
Hope this helps...

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3 years ago