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3 years ago

What is one factor of 2x^2-32y^2

1 answer:

4 0

Here you have two terms connected by the "subtraction" symbol.

The two coefficients are 2 and 32, and one factor common to both of these is 2. Thus, 2x^2-32y^2 = 2(x^2-16y^2).

You could stop here. But it'd make more sense to continue, since x^2-16y^2 is easy to factor:

The three factors of 2x^2-32y^2 are 2, x-4 and x+4

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What does OD= Pls answer

Elodia [21]

Answer:

OD = 9.375"

Step-by-step explanation:

We can draw a line from O to B to create a triangle.

Then, Triangle ODB and Triangle ACB are similar, so their corresponding side's ratio are similar as well.

Triangle ACB, we can use pythagorean theorem to figure out CB:

AC^2 + CB^2 = AB^2

15^2 + CB^2 = 17^2

225 + CB^2 = 289

CB^2 = 64

CB = 8

Now relating the corresponding sides, we can figure out OD:

$\frac{OD}{DB}=\frac{AC}{CB}\\\frac{OD}{8-3}=\frac{15}{8}\\\frac{OD}{5}=\frac{15}{8}\\8OD=5*15\\OD=\frac{5*15}{8}\\OD=9.375$

8 0

3 years ago

If 18 is subtracted from twice the square of an integer, the

Sergeu [11.5K]

Answer:

-3/2

Step-by-step explanation:

Let x = the integer:

2x^2 - 18 = 9x

2x^2 - 9x - 18 = 0

Now either factor that or use the quadratic formula if you're lazy like me.

x = -3/2 and 6, so x must be 6 because it has to be an integer.

5 0

2 years ago

write the equation of the parabola and a vertex form and standard form given the following information

beks73 [17]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

(9)

Here (h, k) = (3, - 2), thus

y = a(x - 3)² - 2

To find a substitute (2, 3) into the equation

3 = a(2 - 3)² - 2 ( add 2 to both sides )

5 = a(- 1)² = a , then

y = 5(x - 3)² - 2 ← in vertex form

y = 5(x² - 6x + 9) - 2

= 5x² - 30x + 45 - 2

y = 5x² - 30x + 43 ← in standard form

(10)

Here (h, k) = (2, - 5), thus

y = a(x - 2)² - 5

To find a substitute (5, 4) into the equation

4 = a(5 - 2)² - 5 ( add 5 to both sides )

9 = a(- 3)² = 9a ( divide both sides by 9 )

a = 1

y = (x - 2)² - 5 ← in vertex form

y = x² - 4x + 4 - 5

y = x² - 4x - 1 ← in standard form

4 0

3 years ago

Read 2 more answers

You randomly survey 40 students about whether they play an instrument. You find that 8 males play an instrument and 13 females d

VashaNatasha [74]

Answer:

Step-by-step explanation:

7 0

3 years ago

1. Which of the following is an example of a proper fraction?

Mars2501 [29]

Answer:

D is the answer

Step-by-step explanation:

8 0

3 years ago