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jek_recluse [69]
2 years ago
11

Write all the values of p for which the quadratic equation x2 +px+16=0 has equal roots. Find the roots of the equation so obtain

ed​
Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
3 0

Answer:

p=±8

Step-by-step explanation:

For equal roots, discriminant should be equal to 0.

Discriminant=b^2-4ac=p^2-16*4=0

p^2=(8)^2, p=8 or - 8

Roots of the equation are x=4 if p=8 and x=-4 if p=-8

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sepalacola

Step-by-step explanation:

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How do three planes intersect at one point?
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Imagine a corner of a cube.
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The image should help.

7 0
3 years ago
What is the solution for the system of equations {9x+8y=3 6x−12y=−11?
lions [1.4K]

Answer:

( - \frac{1}{3}, \frac{3}{4} )

Step-by-step explanation:

Given the 2 equations

9x + 8y = 3 → (1)

6x - 12y = - 11 → (2)

To eliminate the y- term multiply (1) by 1.5

13.5x + 12y = 4.5 → (3)

Add (2) and (3) term by term

(6x + 13.5x) + (- 12y + 12y) = (- 11 + 4.5)

19.5x = - 6.5 ( divide both sides by 19.5 )

x = \frac{-6.5}{19.5} = - \frac{1}{3}

Substitute this value into either of the 2 equations and solve for y

Using (1), then

- 3 + 8y = 3 ( add 3 to both sides )

8y = 6 ( divide both sides by 8 )

y = \frac{6}{8} = \frac{3}{4}

Solution is (- \frac{1}{3}, \frac{3}{4} )

6 0
3 years ago
list as many combinations of three dimensions you can come up with that would give you a volume if 1536 cubic feet.
Monica [59]

Answer:

1.) Length = 8ft, width = 8ft, height = 24ft

2.) Length = 8ft, width = 16ft, height = 12ft

3.) Length = 8ft, width = 24ft, height = 8ft

4.) Length = 8ft, width = 32ft, height = 6ft

5.) Length = 6ft, width = 8ft, height = 32ft

6.) Length = 16ft, width = 4ft, height = 24ft

7) Length = 12ft, width = 8ft, height = 16ft

8.) Length = 2ft, width = 64ft, height = 12ft

9.) Length = 48ft, width = 16ft, height = 2ft

Step-by-step explanation:

To obtain a volume of 1536 cubic feet:

This means Length × width × Height equals 1536ft^3

1.) Length = 8ft, width = 8ft, height = 24ft

2.) Length = 8ft, width = 16ft, height = 12ft

3.) Length = 8ft, width = 24ft, height = 8ft

6 0
3 years ago
Please Help! In which of the following intervals does the trigonometric inequality sec(x)
timofeeve [1]

Step-by-step explanation:

sec(x) = 1/cos(x)

cot(x) = cos(x)/sin(x)

sec is smaller than cot, if cos is negative (making sec negative) and sin is negative (making cot positive).

and that is true for the third quadrant.

which is pi < x < 3×pi/2

so, the third answer is right.

3 0
2 years ago
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