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2 years ago

What expression is equivalent to -15x + 39? *

Mathematics

1 answer:

Nookie1986 [14]2 years ago

7 0

Answer:

-15x + 39 = -3(5x - 13)

Step-by-step explanation:

a. -3(5x - 13) = -15x + 39

b. -3(5x + 13) = -15x - 39

c. 3(5x - 13) = 15x - 39

d. 3(5x + 13) = 15x + 39

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You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta

vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

$m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$m = -\frac{\cos 2\theta}{\sin \theta}$

The tangent line is horizontal when $m = 0$ . Then:

$\cos 2\theta = 0$

$2\theta = \cos^{-1}0$

$\theta = \frac{1}{2}\cdot \cos^{-1} 0$

$\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right)$ , for all $i \in \mathbb{N}_{O}$

$\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}$ , for all $i \in \mathbb{N}_{O}$

The first four solutions are:

x: $\sqrt{2}$ $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$

y: 1 -1 1 -1

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

6 0

2 years ago

A Ferris wheel can accommodate 65 people in 15 minutes. How many people could ride the Ferris wheel in 2 hours? What was that ra

densk [106]

Answer:

520 people in 2 hours

rate = 260 people per hour

Step-by-step explanation:

change minutes to hours

15 minute* 1 hr/60 minutes = .25 hrs

65 people x people

--------------- = ------------------

.25 hrs 2 hrs

using cross products

65 * 2 = .25 * x

130 = .25x

divide by .25

130/.25 = .25x/.25

520 =x

520 people

65 people x people

--------------- = ------------------

.25 hrs 1 hrs

using cross products

65 = .25x

divide by .25

65/.25 = .25x/.25

260 =x

260 people in 1 hour

rate = 260 people per hour

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3 years ago

Please help me with this

nevsk [136]

F is the answer to this question

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2 years ago

1+√3+1-√3 1 * 604 * 909

brilliants [131]

1 + √3 + 1 - √3

= 1 + 1

= 0

1 * 604 * 909

= 549,036

6 0

2 years ago

Read 2 more answers

Absolute value inequality 4 |x+7| divided by 3. ?

stira [4]

Answer:

4 |x+7| divided by 3.

Step-by-step explanation:

This cannot be divided any further.

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2 years ago