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3 years ago

The equation x2+3px+p=0, where p is non-zero constant, has equal roots. Find the value of p

Mathematics

1 answer:

Reptile [31]3 years ago

3 0

A quadratic equation has equal roots if and only if the discriminant

$\Delta = b^2-4ac$

is zero.

So, we have to impose

$(3p)^2-4p=0 \iff 9p^2-4p=0 \iff p(9p-4)=0 \iff p=0 \lor\; p=\dfrac{4}{9}$

Since p is non-zero, the only possible value for p is 4/9.

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1) What is the volume of a figure with that is 3 inches wide, 5 inches tall and 8 inches long?

Romashka-Z-Leto [24]

The volume is 120 cubic inches.

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3 years ago

PLEASE HURRY :,) WILL GIVE BRAINLEST

Vlad1618 [11]

Answer:

Point R is at (-40,30), a distance of 60 units from point Q

Step-by-step explanation:

Explanation

we will use below conditions

Type of transformation change to co-ordinate point

vertical translation up 'd' units (x, y) changes to (x, y +d)
vertical translation down 'd' units (x, y) changes to (x, y-d)
horizontal translation left 'c' units (x, y) changes to (x- c, y)

4. horizontal translation right 'c' units (x, y) changes to (x+ c , y)

now Given data is P( 20,-30) and in the graph Q(-40,-30)

Step1:-

Now we have to find 'R' point

Given data the point "R' is vertically above point Q so the point "Q' is moves vertically up with '60' units

now we will use the condition (1)

Q(-40,-30) is vertical translation up '60' units now changes the co-ordinate point is (-40 , -30+60)

The correct translation and The point R( -40 , 30)

Step2:-

Again in the given data "R" is at the same distance from point Q as point P is from point Q.

so given P point is (20 , -30)

now we translation 'P' also

vertically translation up at a distance '60' units and changes the new co-ordinate (20 , -30+60) that is (20,30) [ use above condition is (1)]

and again horizontal translation left '60' now changes (20 - 60 ,30)[ use condition (3)]

There fore the new co-ordinate is R( -40 , 30)

Final answer:-

Point R is at (−40, 30), a distance of 60 units from point Q

6 0

3 years ago

Multiply.

Nady [450]

$\boxed{3\sqrt{22}\sqrt{58}\sqrt{18}=18\sqrt{638}}$

<h2>Explanation:</h2>

Here we have the following expression:

$3\sqrt{22}\sqrt{58}\sqrt{18}$

So we need to simplify that radical expression. By property of radicals we know that:

$\sqrt[n]{a}\sqrt[n]{b}=\sqrt[n]{ab}$

So:

$3\sqrt{22}\sqrt{58}\sqrt{18}=3\sqrt{22\times 58 \times 18}=3\sqrt{22968}$

The prime factorization of 22968 is:

$22968=2^3\cdot 3^2\cdot11\cdot 29$

Hence:

$3\sqrt{22968}=3\sqrt{2^3\cdot 3^2\cdot11\cdot 29}=3\sqrt{2^2\cdot 3^2\cdot 2\cdot 11\cdot 29}$

By property:

$\sqrt[n]{a^n}=a$

So:

$3\sqrt{2^2\cdot 3^2\cdot 2\cdot 11\cdot 29} \\ \\ 3(2)(3)\sqrt{2\cdot 11\cdot 29}=18\sqrt{638}$

Finally:

$\boxed{3\sqrt{22}\sqrt{58}\sqrt{18}=18\sqrt{638}}$

<h2>Learn more:</h2>

Radical expressions: brainly.com/question/13452541

#LearnWithBrainly

3 0

3 years ago

What does 20 * 1 * 2 equal?

ladessa [460]

Answer:

Step-by-step explanation:

20 * 1

= 20

20 * 2

= 40

5 0

3 years ago

Read 2 more answers

Susanna found a roll of fabric she want to use to make a pillow. The role head 3/4 of a yard of fabric left. Suzanne need 1/3 of

balu736 [363]

$\frac{1}{4}$ represents the amount of fabric Susanna needed.

Step-by-step explanation:

Given,

Remaining fabric = $\frac{3}{4}\ of\ yard$

Fabric Susanna needs = $\frac{1}{3}\ of\ remaining\ fabric$

Fabric Susanna needs = $\frac{1}{3}*\frac{3}{4}$

Fabric Susanna needs = $\frac{1}{4}\ of\ a\ yard$

$\frac{1}{4}$ represents the amount of fabric Susanna needed.

Keywords: fraction, multiplication

Learn more about fractions at:

#LearnwithBrainly

5 0

3 years ago