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4 years ago

If both the zeroes of a polynomial x2+4x+2p are real and equal then find the value of p.

Mathematics

1 answer:

creativ13 [48]4 years ago

7 0

Answer:

p = 2

Step-by-step explanation:

If both zeroes at equal, they must be the negative half of the second term. As this term is 4, $-\frac{4}{2} =-2$ . This means that each of the zeroes must be -2. This means that the polynomial must be $(x+2)^2$

This simplifies to $x^2+4x+4$

From the intial problem, we can set up an equation and solve for p. $2p=4\\\\p=2$

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Find the perimeter of the polygon with the given vertices. C(4, -1), D(4,−5), E(2,−3)

Aleksandr [31]

Answer:

8 units

Step-by-step explanation:

find the distance of the lines through coordinates given

distance formula: $\sqrt{(x_{1}-x_{2})+(y_{1} -y_{2} ) }$

i) CD= $\sqrt{(4-4)^2 +(-1+5)^2}$

CD= $\sqrt{0+4^2}$

CD=4 units

ii) DE= $\sqrt{(4-2)^{2}+(-5+3)^2 }$

DE= $\sqrt{(2)^2+(-2)^2}$

DE= $\sqrt{8}$

DE= 2 units

iii) ED= $\sqrt{(2-4)^2+(-3+1)^2}$

ED= $\sqrt{(-2)^2+(-2)^2}$

ED= $\sqrt{8}$

ED= 2 units

perimeter of polygon= 2 units+ 2 units+ 4 units

=8 units

4 0

3 years ago

A rectangular prism has a length of 5 cm, a width of 2 1/2 cm, and a expressions height of 1 1/2 cm. Which can be used to find t

Assoli18 [71]

To find the volume of a rectangular prism, we can use the formula [ V = l * w * h ]

V = 5 * 2 1/2 * 1 1/2

V = 12 1/2 * 1 1/2

V = 18 3/4cm³

Now that we know the volume, we can check each answer choice.

Option A:

5 ∙ 2 1/2 ∙ 1 1/2

12 1/2 * 1 1/2

18 3/4cm³

Option B:

12 1/2 ∙ 1 1/2

18 3/4cm³

Option C:

1 1/2(5 + 2 1/2)

1 1/2(7 1/2)

11 1/4cm³

Option D:

1/2(12 1/2 ∙ 1 1/2)

1/2(18 3/4)

9 3/8cm³

Therefore, the only correct options are A and B.

Best of Luck!

5 0

4 years ago

Read 2 more answers

1 quart=4 cups (whats the answer?)

Sever21 [200]

Answer:

1quart 4cups =8quatcups

Step-by-step explanation:

thanks:)

7 0

3 years ago

Read 2 more answers

Val rented a bicycle while she was on vacation she paid a flat rental fee of $55.00 plus $8.50 EACH day the total cost was $123

Tom [10]

Answer:

14 days approximately or 14.47 to be exact

Step-by-step explanation:

Let the number of days be x

Val paid $123 for x days for renting a bicycle where as $8.50 was rent of bicycle per day so dividing $123/8.50 gives us number of days

which are 14.47 days.

$55 amount is ambiguous that whether it was flat ( as in apartment) rental fee or what?

3 0

3 years ago

Given the triangle below, answer the following:

OLEGan [10]

Answer:

Step-by-step explanation:

question no . 5

ratio of angle L

take angle as reference angle

using cos rule

cos L = base / hypotenuse

= 4/5

ratio of angle N

take angle N as reference angle

using sin rule

sin N = opposite / hypotenuse

= 4/5

for measure of angle L

cos L = 4/5

cos L = 0.8

L = $cos^{-1}(0.8)$

L = 36.9

for meanure of angle N

sin N = 4/5

sin N = 0.8

N = $sin^{-1}(0.8)$

N = 53.1

7 0

3 years ago

Read 2 more answers