All categories

3 years ago

This is factoring quadratics with a leading coefficient: 5p to the 2 power - 52p + 20

Mathematics

1 answer:

Mashutka [201]3 years ago

4 0

Answer:

(-5p + 2)(-p + 10)

Step-by-step explanation:

$5p^{2}$ -52p + 20

(-5p + 2)(-p + 10)

You can double check this by using the distributive property..

-5p * -p = -5p^2

2*-p = -2p

10*-5p = -50p

10*2 = 20

-5p^2 + -2p + -50p + 20

Now we combine like terms and simplify

-5p^2 -52p + 20

So, we are correct

You might be interested in

What is the shorter length 60in or 8 feet

Kryger [21]

1 foot = 12 inches

12 * 5 = 60 and 8 * 12 = 96

Therefore, 60 inches is a shorter length than 8 feet.

4 0

4 years ago

Read 2 more answers

Which ordered pair is a solution of this<br> equation?<br> -3x + 7y - 6<br> =

Mumz [18]

Answer:

There are actually an infinite number of ordered pairs that will satisfy the equation y=3x+7 including (-1,4), (0,7) and (1, 10).

Step-by-step explanation:

5 0

3 years ago

Please help me with this questions

viktelen [127]

Answer:

See attached

Step-by-step explanation:

The answers added on the picture

8 0

3 years ago

Find the radius of the circle with equation x²+y²+8x+8y+28=0

galina1969 [7]

<h2>Hello!</h2>

The answer is:

Center: (-4,-4)

Radius: 2 units.

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

Where:

"h" and "k" are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

$x^{2}+y^{2}+8x+8y+28=0$

So, solving we have:

$x^{2}+y^{2}+8x+8y=-28$

$(x^2+8x+(\frac{8}{2})^{2})+(y^2+8y+(\frac{8}{2})^{2})=-28+((\frac{8}{2})^{2})++(\frac{8}{2})^{2})\\\\(x^2+8x+16 )+(y^2+8y+16)=-28+16+16\\\\(x^2+4)+(y^2+4)=4$

$(x^2-(-4))+(y^2-(-4))=4$

Now, we have that:

$h=-4\\k=-4\\r=\sqrt{4}=2$

So,

Center: (-4,-4)

Radius: 2 units.

Have a nice day!

Note: I have attached a picture for better understanding.

3 0

3 years ago

What is 4 divided by 3/4?

musickatia [10]

Answer:

16/3 or 5.33

Step-by-step explanation:

Cross multiply

4/1 * 3/4

4 * 4 = 16

3 * 1 = 3

6 0

3 years ago