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4 years ago

Consider the two planes.

Mathematics

2 answers:

statuscvo [17]4 years ago

5 0

Answer:

Step-by-step explanation:

In the given figure, you can observe that plane R and plane Q are perpendicular. So, neither of lines inside the plane R can be parallel to line c, because it's placed in a perpendicular plane.

This means that they only line that can be parallel to line c, it's actually line d, because it's in the same plane, and the figure shows that they have the same direction, which allow us to deduct that they are parallel.

IceJOKER [234]4 years ago

3 0

Answer:

Line d

Step-by-step explanation:

Line A could not be parallel to line C and neither cold line B because they would cross at some point. Line D is parallel because it would not cross line C at any point. Plane Q oculd not be parallel to line C because it is a plane and it is perpendicular to line C.

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Paula dives into a swimming pool from a diving board 2 feet above the water's surface. She descends to a depth 7 feet below the

lys-0071 [83]

Answer:

1. 2

2. -9

3. 2+-9

4. -7

5. -15 + 8 = -7

Step-by-step explanation:

The surface of the water is 0. If Paula is above the surface of the water than she is positive. If she is below or heading down she is negative. She starts 2 feet above which is 2. She descends a total of -9 from 2 to -7. She ends up -7 or 7 feet below surface. So she travels from 2+-9 = -7.

Yolanda owes her friend $15 or -15. She earns $8 a week or +8. If she earns 8 dollars this week and pays Yolanda back then -15+8=-7. She now owes $7.

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3 years ago

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The amount of time needed to complete a certain road trip, t, varies inversely with the speed of a

JulsSmile [24]

Answer:

x = 60

Step-by-step explanation:

t = $\frac{k}{x}$

15 = k/68

k=1020

~~~~~~~~~~~

17 = 1020/x

x = 1020/17

x = 60

6 0

3 years ago

Need Help with the composition of two rational functions. screenshot is below

igomit [66]

We just have to write one function inside the other:

$(f\circ g)(x) = f(g(x))\\\\(f\circ g)(x) = f\left(\dfrac{13}{x+3}\right)\\\\(f\circ g)(x) = \dfrac{2}{\left(\dfrac{13}{x+3}\right)+3}\\\\(f\circ g)(x) = \dfrac{2}{~~\dfrac{13+3(x+3)}{x+3}~~}\\\\(f\circ g)(x) = \dfrac{2(x+3)}{13+3(x+3)}\\\\\boxed{(f\circ g)(x) = \dfrac{2x+6}{3x+22}}$

Since we have a fraction with x in the denominator, we have to remove from the domain the value of that makes null the denominator. Thus,

$3x+22\neq0\Longrightarrow 3x\neq22\Longrightarrow x\neq \dfrac{22}{3}$

Furthermore, we also have to remove the value of x that annuls the denominator of g(x), because that's the first function that we use. So:

$x+3\neq0\Longrightarrow x\neq-3$

Hence, the domain is:

$D((f\circ g)(x)) = \left]-\infty,-3\right[\cup \left]-3,\dfrac{22}{3}\right[\cup\left]\dfrac{22}{3},\infty\right[$

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4 years ago

The surface of a football field is shaped like a parabola. The cross section of a field with synthetic turf can be modeled by th

77julia77 [94]

Answer: The width of the field = 120

Step-by-step explanation: This question can be solved by first opening of the bracket, then relating the equation to quadratic general equation and finally solve for domain of X by using quadratic formula.

Please find the attached file for the solution.

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3 years ago

Whats the answer to 3(2x-5) = -5 (x-4)+x

frutty [35]

Answer:

x=7/2

Step-by-step explanation:

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3 years ago

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