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3 years ago

Complete the factorization of 4x^2 - 9

Mathematics

1 answer:

Vaselesa [24]3 years ago

5 0

Answer:

$4 {x}^{2} - 9 \\ {2}^{2} {x}^{2} - {3}^{2} \\ = (2x - 3)(2x + 3)$

hope this helps you....

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Solve the following: 3x+2= 2x+13/3

NISA [10]

Answer:

x = 7/3

Step-by-step explanation:

3x + 2 = 2x + 13/3

3x - 2x = 13/3 - 2

x = 13/3 - 2/1

x = 13/3 - 6/3

x = 7/3

6 0

3 years ago

Read 2 more answers

Write a polynomial expression that has the following characteristics: The polynomial expression is a trinomial. The polynomial e

Alexeev081 [22]

Answer:

${ - 5.6}xy ^{2} + yx + 2x$

5 0

3 years ago

HELP meeeeee please

Rufina [12.5K]

Answer: a = 23, b = 21, c = 136

Step-by-step explanation:

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3 years ago

Find the equation of the circle with a diameter whose end points are (-1,-2) and (-3,2)

Sergeeva-Olga [200]

Answer:

The equation of the circle with a diameter whose end points are (-1,-2) and (-3,2) is

$x^{2} +y^{2}+4x-1=0$

Step-by-step explanation:

Explanation:-

Step 1:-

The equation of the circle having center and radius is

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

here center is (h,k) and radius is r

Given diameter whose end points are (-1,-2) and (-3,2)

The diameter of the circle is passing through the center of the circle

so center of the circle = midpoint of two end points

$(\frac{-1 +(-3) }{2} ,\frac{-2+2 }{2} )$

$(-2,0)$

therefore center (h,k) = (-2,0)

Step 2:-

we have to find the radius of the circle

the radius of the circle = the distance from center to the one end point

i.e., C P = r

Given one end point is P(-3,2) and center C(-2,0)

The distance formula of two points are

$\sqrt{(x_{2}-x_{1} ) ^{2}+ (y_{2}-y_{1} ) ^{2}}$

$r=\sqrt{{(-3)-(-1) ) ^{2}+ (2-(-2)) ^{2}}$

$r=\sqrt{5}$

Step 3:-

center (h,k) = (-2,0) and

radius $r=\sqrt{5}$

The standard form of circle equation

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

$(x-(-2))^2+(y-0)^2=\sqrt{5} ^2$

on simplification is

$x^{2} +y^{2}+4 x-1=0$

5 0

3 years ago

If you want to conduct a practical study that finds

Aleks [24]

Answer:

• Random sampling [ Probability and statistics method ]

Step-by-step explanation:

• This method is easier and saves time.

By probability, a person whose height is to be recorded will be chosen randomly. This will be done on approximately 40% members.

By statistical step, we'll feed results into distribution table. Then we'll find the mean height.

${ \boxed{ \rm{mean \: height = \frac{ \sum \: f(n)}{n} }}}$

• f of n is product of frequency and respective height bracket

• n is the number of samples.

8 0

3 years ago