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3 years ago

If line ℓ is parallel to plane P, how many planes containing line ℓ can be drawn parallel to plane P?

Mathematics

1 answer:

Slav-nsk [51]3 years ago

7 0

Answer:

One

Step-by-step explanation:

Only one plane containing line ℓ can be drawn parallel to plane P

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Which are the solutions of x2 = –13x – 4? 0, 13 0, –13 StartFraction 13 minus StartRoot 153 EndRoot Over 2 EndFraction comma Sta

klasskru [66]

Solution of the given expression $x^2 = -13x-4$ is $x=\frac{-13+\sqrt{153}}{2}\,\,and\,\,x=\frac{-13-\sqrt{153}}{2}$

Correct options are: Start Fraction negative 13 minus Start Root 153 End Root Over 2 End Fraction comma Start Fraction negative 13 + Start Root 153 End Root

Step-by-step explanation:

We need to find solutions of $x^2 = -13x-4$

We need to solve the quadratic equation and find values of x.

Solving:

$x^2 = -13x-4$

Rearranging the terms:

$x^2+13x+4=0$

Solving the quadratic equation using quadratic formula:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

where a = 1, b= 13 and c=4

putting values:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(13)\pm\sqrt{(13)^2-4(1)(4)}}{2(1)}\\x=\frac{-13\pm\sqrt{169-16}}{2}\\x=\frac{-13\pm\sqrt{153}}{2}\\x=\frac{-13+\sqrt{153}}{2}\,\,and\,\,x=\frac{-13-\sqrt{153}}{2}$

So, Solution of the given expression $x^2 = -13x-4$ is $x=\frac{-13+\sqrt{153}}{2}\,\,and\,\,x=\frac{-13-\sqrt{153}}{2}$

Correct options are: Start Fraction negative 13 minus Start Root 153 End Root Over 2 End Fraction comma Start Fraction negative 13 + Start Root 153 End Root

Keywords: Solving Quadratic Equations

Learn more about Solving Quadratic Equations at:

#learnwithBrainly

5 0

3 years ago

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10. Point W bisects segment UV. Find UV if WV = 11% inches.

Nuetrik [128]

The segment <u>UV = 22 1/4 inches</u>, using the segment addition postulate.

According to the segment addition postulate, a third point B will only be located on the line segment AC if and only if the equation AB + BC = AC is true for a line segment with two endpoints, A and C.

In the question, we are given that point W bisects segment UV.

We are asked to find UV if WV = 11 1/8 inches.

For the segment UV, if point W bisects it, then point W is on the segment, and by the segment addition postulate, we can write that UW + WV = UV.

Now, as we are given that W bisects UV, we can conclude that UW will be equal to WV.

Thus, we can write that UW = WV = 11 1/8 inches.

Substituting the values of UW and WV in the equation UW + WV = UV, we get:

11 1/8 + 11 1/8 = UV,

or, UV = 11 1/8 + 11 1/8,

or, UV = 89/8 + 89/8,

or, UV = 178/8,

or, UV = 89/4,

or, UV = 22 1/4.

Thus, the segment <u>UV = 22 1/4 inches</u>, using the segment addition postulate.

Learn more about the segment addition postulate at

brainly.com/question/2134445

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2 years ago

The coordinates of B

Alexxandr [17]

Answer:

Step-by-step explanation:

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3 years ago

How many scalene triangles can be made?

Blababa [14]

Answer:

I think 24.

Step-by-step explanation:

8 0

2 years ago

A sinusoid with amplitude 6 has a minimum value of 4. What is its maximum value?

bagirrra123 [75]

Answer: Max Value is y = 16

========================================================

Explanation:

The amplitude is the vertical distance from the horizontal center line to either the peak or valley.

The minimum value is 4. The distance from the min value to the center is 6 units. So the center is at 4+6 = 10.

Then we go another 6 units up to arrive at the max value 10+6 = 16

Refer to the diagram below. I recommend drawing out a sine curve along with the vertical y axis number line.

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3 years ago

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