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2 years ago

Determine the value of K that would make this expression a perfect square

Mathematics

1 answer:

Mumz [18]2 years ago

4 0

Answer: k=9/4

Step-by-step explanation: We can do this by finding a number that adds up to 3 when multiplied by 2. The best way to do this is to use ((b^2)/4) which can usually find you the number for a perfect square based on b, which we have. So, 3^2 / 4 =9/4, meaning k=9/4. We can check:

>x^2 +3x +9/4

> (x+3/2)(x+3/2)

Perfect square.

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Find the value of x in 4:x::x:16

AnnyKZ [126]

Given:

4:x::x:16

To find:

The value of x.

Solution:

We have,

4:x::x:16

It means, we have

4:x = x:16

It can be rewritten as

$\dfrac{4}{x}=\dfrac{x}{16}$

On cross multiplication, we get

$4\times 16=x\times x$

$64=x^2$

Taking square root on both sides.

$\pm \sqrt{64}=x$

$\pm 8=x$

Since ratio can be negative or positive, therefore, the value of x is either -8 or 8.

4 0

2 years ago

Expand (x-y)^5 using pascal’s triangle

mina [271]

Hello from MrBillDoesMath!

Answer:

x^5 - 5 x^4 y + 10 x^3 y^2 - 10 x^2 y^3 + 5 x y^4 - y^5

Discussion:

Pascal's triangle looks like this (up to 6 rows)

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

The last row contains the constant multipliers in the equation. The terms in the expansion alternate in sign.

Thank you,

MrB

7 0

2 years ago

Lucy's bakery sold 1,382 loaves of bread last year. This year, the bakery sold 2,588 loaves. How many loaves did Lucy's bakery s

ss7ja [257]

Answer:

Step-by-step explanation:

3,970

3 0

2 years ago

Read 2 more answers

There are 480 dishes that need to be rinsed. Juan can rinse them in 80 minutes by himself. It will his friend Kevin 120 minutes

andreev551 [17]

Answer:

48 minutes.

Step-by-step explanation:

Number of dishes rinsed by Juan in 1 minute

= 480/80

= 6

Number of dishes rinsed by Kevin in 1 minute

= 480/120

= 4

Number of dishes rinsed by Juan and Kevin in 1 minute

= 6 + 4

= 10

Hence, time taken by Juan and Kevin to rinse the dishes

= 480/10

= 48 minutes.

Hence It will take 48 minutes for them to rinse the dishes.

5 0

2 years ago

How do you solve 4/5(k + 10) = -12 without distributing.

Naily [24]

Solve for k by simplifying both sides of the equation, then isolating the variable.
k = -25

5 0

3 years ago

Read 2 more answers