Ask question

Ask question

All categories

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

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

You might be interested in

Dvinal [7]

Answer B

Explanation: Y=mx+b
M=slope and b=yintercept

6 0

3 years ago

What is the area of Vivian’s garage door?

sergey [27]

The area of Vivian’s garage door is 62.5 square feet

<h3>Area of composite shape.</h3>

The Vivian garage is made up of a trapezoid and a rectangle. The area of the door is expressed as;

Area = Area of rectangle + area of trapezoid

Area = (5 * 8) + 0.5(7 + 8)*3
Area= 40 +22.5
Area = 62.5 square feet

Hence the area of Vivian’s garage door is 62.5 square feet

Learn more on composite shapes here: brainly.com/question/8370446

#SPJ1

3 0

2 years ago

The height of a pyramid-shaped sculpture with a square base is one half the length of each side. The volume of the sculpture is

Nimfa-mama [501]

The volume of a pyramid is V = 1/3 x base length^2 x height

Let X = base length.

We are told the height is 1/2 the length, so height would be 1/2x

Now we have:

972 = 1/3 * x^2 * 1/2x

Simplifying we get:

972 = 1/6x^3

Multiply both sides by 6:

5832 = x^3

Take the cube root of both sides:

x = 18

The length of the base is 18 inches.

The height is 1/2 that, so the height would be 18/2 = 9 inches.

4 0

3 years ago

I know the answer just need the step-by step work

Anna71 [15]

Answer:

x^2 +18x +80

= x^2 + 10x + 8x +80

= x(x+10) + 8(x+10)

= (x+10)(x+8)

Hope this help!

Good luck!

6 0

3 years ago

Y is directly related to x and y is 81 when x is 27 the constant of.variation is

suter [353]

Answer:

The constant of variation is 3

Step-by-step explanation:

Given.

$y=81$

$x=27$

And y is directly related to x

$y$ ∝ $x$

Here k is constant of variation

$y=kx$

$k=\frac{y}{x}$ --------------(1)

Put the $y$ and $x$ value in equation 1.

$k=\frac{81}{27}$

$k=3$

So, the constant of variation is 3.

6 0

3 years ago