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2 years ago

15

On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negat

ive 2) and (0, negative 4).
Which statement best explains the relationship between lines PQ and RS?

They are parallel because their slopes are equal.
They are parallel because their slopes are negative reciprocals.
They are not parallel because their slopes are not equal.
They are not parallel because their slopes are negative reciprocals.

1 answer:

kati45 [8]2 years ago

3 0

Answer:

They are not parallel because their slopes are not equal

Step-by-step explanation:

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The temperature at 9 a.m. is 2 degrees. The temperature rises 3 more degrees by noon. Which expression describes the temperature

Archy [21]

Answer:5

Step-by-step explanation:

2+3

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3 years ago

Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?

mixer [17]

Given:

$|u|=10$ at an angle of 45°.

$|v|=13$ at an angle of 150°.

$w=u+v$

To find:

Magnitude and direction angle of w.

Solution:

We have,

$w=u+v$

$\theta = 45^\circ, \phi = 150^\circ$

Now,

$u_x=|u|\cos \theta=10\cos 45^\circ=7.071$

$u_y=|u|\sin \theta=u_y=10\sin 45^\circ=7.071$

$v_x=|v|\cos \phi=13\cos 150^\circ=-11.25833$

$v_y=|v|\sin \phi=u_y=13\sin 150^\circ=6.5$

Using these information, we get

$R_x=u_x+v_x=7.071-11.25833=-4.18733$

$R_y=u_y+v_y=7.071+6.5=13.571$

$\text{Direction angle}=\tan^{-1}(\dfrac{R_y}{R_x})$

$\text{Direction angle}=\tan^{-1}(\dfrac{13.571}{-4.18733})$

$\text{Direction angle}=-72.8239$

$\text{Direction angle}=107.1476$

$\text{Direction angle}\approx 107.1$

Now,

$|w|=\sqrt{(|u|\cos \theta +|v|\cos \phi)^2+(|u|\sin \theta +|v|\sin \phi)^2}$

$|w|=\sqrt{(10\cos(45)+13\cos 150)^2+(10\sin(45)+13\sin 150)^2}$

$|w|=\sqrt{(10(\dfrac{1}{\sqrt{2}})+13(-\dfrac{\sqrt{3}}{2}))^2+(10(\dfrac{1}{\sqrt{2}})+13(\dfrac{1}{2}))^2}$

$|w|=14.20236$

$|w|\approx 14.20236$

Therefore, the correct option is D.

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3 years ago

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Jonathan wants to buy a lid for his frying pan. The diameter of the pan is 11 inches. What is the approximate circumference of a

Leona [35]

the approximate circumference of a lid that will fit his frying is 34.5 inches .

<u>Step-by-step explanation:</u>

Here we have , Jonathan wants to buy a lid for his frying pan. The diameter of the pan is 11 inches. We need to find What is the approximate circumference of a lid that will fit his frying . Let's find out:

We know that a lid for his frying pan is basically in shape of circle , So we consider a lid for his frying pan as a circle ! Now ,

Circumference of circle = $2\pi r$ , r = radius

⇒ $Circumference =2\pi r$

⇒ $Circumference =2\pi \frac{D}{2}$

⇒ $Circumference =\pi D$ , D = Diameter = 11 inches

⇒ $Circumference =\pi (11)$

⇒ $Circumference =(3.14) (11)$

⇒ $Circumference =34.5inches$

Therefore , the approximate circumference of a lid that will fit his frying is 34.5 inches .

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3 years ago

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Answer:

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2 years ago

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Ivanshal [37]

The first one is 23.430, I don't have time to help with the second part of the question, but good luck! :)

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3 years ago

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