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Vilka [71]
3 years ago
12

It is given the quadratic equation (q + 1 )x² - 8x + p = 0,where p and q are constants,has two equal real roots.Express p in ter

ms of q.
Do help meeee!!!
i'll mark u as the brainliest!​
Mathematics
2 answers:
alexira [117]3 years ago
8 0

Answer:

p = \frac{16}{q+1}

Step-by-step explanation:

Since there are 2 equal roots then the value of the discriminant is zero, that is

b² - 4ac = 0

Given

(q + 1)x² - 8x + p = 0 ← in standard form

with a = q + 1, b = - 8, c = p , then

(- 8)² - 4p(q + 1) = 0

64 - 4p(q + 1) = 0 ( subtract 64 from both sides )

- 4p(q + 1) = - 64 ( divide both sides by - 4 )

p(q + 1) = 16 ( divide both sides by q + 1 )

p = \frac{16}{q+1}

Bogdan [553]3 years ago
5 0
The curve has two equal roots meaning it’s a tangent that meets the curve at only one point. Therefore, the determinant will be equal to 0.

a = (q + 1)
b = -8
c = p

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VMariaS [17]

Answer:

-84i - 12i

Step-by-step explanation:

The distributive property is: a(b+c) = ab + ac

In this case, we have -6i(-14i+2)

-6i = a

-14i = b

2 = c

-6i(-14i+2) = -6i(-14i) + -6i(2)

= 84i^2 - 12i

= -84 - 12i

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3 years ago
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Schach [20]

Answer:

The simple solutions are:

Right 6:  (-2+6,-3) = (4,3)

Left 6:    (-2-6,-3) = (-8,-3)

Up 6:      (-2,-3+6) = (-2, 3)

Down 6:  (-2,-3-6) = (-2,-9)

 

Those are for horizontal or vertical

line segments.

Step-by-step explanation:

4 0
3 years ago
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Can you help? photo is included<br><br><br><br><br><br><br>​
laiz [17]

Answer:

Step-by-step explanation:

f(x)=-4x+2

g(x)=x²+1

(gof)(x)=g(f(x))=g(-4x+2)=(-4x+2)²+2=16x²-16x+4+2=16x²-16x+6

(gof)(3)=16(3)²-16(3)+6=144-48+6=150-48=102

3 0
3 years ago
A box has length 8 feet, width 4 feet, and height 3 inches. Find the volume of the box in cubic feet and in cubic inches.
coldgirl [10]

The volume of a box in cubic inches = 13,824 cubic inches

The volume of a box in cubic feet = 8 cubic feet

<h3>What is the Volume of a box?</h3>

The volume of a box = (length)(width)(height).

Give the following:

Length of the box = 8 feet

Width of the box = 4 feet

Height of the box = 3 inches

Convert the length and width to inches (1 foot = 12 inches)

Length of the box = 8 feet = (8)(12) = 96 inches

Width of the box = 4 feet = (4)(12) = 48 inches

Height of the box = 3 inches = 3/12 = 0.25 ft

The volume of a box in cubic inches = (96)(48)(3) = 13,824 cubic inches

The volume of a box in cubic feet = (8)(4)(0.25) = 8 cubic feet

Learn more about the volume of a box on:

brainly.com/question/14957364

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8 0
1 year ago
The school designed their garden to have a perimeter of 32 ft with the length measuring two feet more than twice the width
Tresset [83]

Based on the perimeter solved, the length and width of the rectangle will be 11.34 feet and 4.67 feet respectively.

<h3>How to solve the perimeter</h3>

Width = w

Length = 2w + 2

Perimeter = 2(Length + Width)

Perimeter = 2(Length + Width)

32 = 2(2w + 2 + w)

32 = 4w + 4 + 2w

32 - 4 = 6w

28 = 6w

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Length = 2w + 2 = (2 × 4.67) + 2 = 11.34

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