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2 years ago

How can I factor 16x^2-44x+24?

Mathematics

1 answer:

Papessa [141]2 years ago

8 0

16x² - 44x + 24
= 4(4x² - 11x + 6)
= 4(x * 4x - 8x - 3x + 2 * 3)
= 4(x - 2)(4x - 3)

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Match the circle equations in general form with their corresponding equations in standard form. x2 y2 − 4x 12y − 20 = 0 (x − 6)2

frosja888 [35]

The equation given is matched with the respective vertex forms.

<h3>What is the standard Equation for a circle ?</h3>

The standard equation for a circle is given by

(x-h)² + (y-k)² = r²

The equation given in the question are

x² + y² − 4x + 12y − 20 = 0

(x − 6)² + (y − 4)² = 56

x² + y² + 6x − 8y − 10 = 0

(x − 2)² + (y + 6)² = 60

3x² + 3y² + 12x + 18y − 15 = 0

(x + 2)² + (y + 3)² = 18

5x² + 5y² − 10x + 20y − 30 = 0

(x+3)² + (y-4)² = 35

2x² + 2y² − 24x − 16y − 8 = 0

(x-1)² + (y+2)² = 11

The first equation is

x² + y² − 4x + 12y − 20 = 0

It can be written ad

x² -4x + 4 - 4 +y²+12y +36-36 -20 = 0

(x-2)² +(y+6)²= 60

The second equation is

x² + y² + 6x − 8y − 10 = 0

x² +6x +9-9 +y² -8y +16-16 -10 = 0

(x+3)² + (y-4)² = 35

The third equation is

3x² + 3y² + 12x + 18y − 15 = 0

(x + 2)² + (y + 3)² = 18

The fourth equation is

5x² + 5y² − 10x + 20y − 30 = 0

(x-1)² + (y+2)² = 11

The fifth equation is

2x² + 2y² − 24x − 16y − 8 = 0

(x − 6)² + (y − 4)² = 56

To know more about standard equation of Circle

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7 0

1 year ago

What is -8(-2f-7) simplified? what is 4(5w-6) simplified?

HACTEHA [7]

16f+56
20w-32
These are your answers all you have to do to get them is distribute.

3 0

3 years ago

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Solve this plz plz plz plz plz plz plz!

Goshia [24]

Answer is attached with image.

6 0

2 years ago

Select the pair of slopes that are the slopes of perpendicular lines.

agasfer [191]

<h3> $\frac{3}{4}\ and\ \frac{-4}{3}$ are the slopes of perpendicular lines</h3>

Solution:

We know that,

Product of slope of a line and slope of line perpendicular to it is always equal to -1

Option 1

$\frac{1}{2}\ and\ 2$

$Product = \frac{1}{2} \times 2 = 1$

Thus, these are not the slopes of perpendicular lines

Option 2

$\frac{3}{4}\ and\ \frac{-4}{3}\\\\Product = \frac{3}{4} \times \frac{-4}{3}\\\\Product = -1$

This option satisfies the slopes of perpendicular lines

Option 3

$\frac{-2}{5}\ and\ \frac{-5}{2}\\\\Product = \frac{-2}{5} \times \frac{-5}{2} = 1$

Thus, these are not the slopes of perpendicular lines

Option 4

2 and 2

Product = 2 x 2 = 4

Thus, these are not the slopes of perpendicular lines

7 0

3 years ago

Laura delivers newspapers. She spent 4/12 of her savings on a new cd. Which equivalent fractions shows the amount laura spent?

Kipish [7]

1/3 is an equivalent fraction for 4/12.

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3 years ago

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