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Serjik [45]
2 years ago
10

What is the completely factored form of 9x^2+24x+16

Mathematics
1 answer:
stepladder [879]2 years ago
5 0
<span>The completely factored form of 9x^2+24x+16 is equal to
</span><span>9x^2+24x+16
(3x + 4) (3x + 4)

Since the two factors are the same, this can be simplified as
</span>(3x + 4) (3x +<span> 4)
</span>(3x + 4)^2

It is a perfect square factor.
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A circle with center (1, 2) passes through the point (0, 6). what is the equation of the circle
Nesterboy [21]

Answer:

1,12 is your answer 1, 2x6-12

Step-by-step explanation:

8 0
2 years ago
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Indicate the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (4, 1) and
jenyasd209 [6]

Equation of a line is x+3y =-3.

<h3>What is a perpendicular bisector of the line segment?</h3>

A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.

Given that,

Endpoints of the line segment are (x_{1},y_{1}) = (4, 1) and (x_{2},y_{2}) = (2, -5).

First find the midpoints of the given line segment.

M = \left(\frac{x_{1}+x_{2}  }{2},\frac{y_{1}+y_{2}  }{2}\Right)

    =  \left(\frac{4+2  }{2},\frac{1-5  }{2}\Right)

M   =  (3,-2)

Now, Find the slope of the line :

It is perpendicular to the line with (4,1) and (2,-5)

Slope between (x_{1},y_{1}) and (x_{2},y_{2}) = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

so,

the slope between (4,1) and (2,-5)  =  \frac{-5-1  }{2-4 }

                                                         = 3

perpendicular lines have slopes the multiply to get -1

3 times m=-1

m= \frac{-1}{3}

The equation of a line that has a slope of m and passes through the midpoints M(3,-2)  is

y-y_{1} =m(x-x_{1} )

y-(-2) =\frac{-1}{3} (x-3 )

(y+2) =\frac{-1}{3} (x-3 )

if we want slope intercept form

(y+2) =\frac{-1}{3} x+1

y= \frac{-1}{3} x-1

If we want standard form

\frac{1}{3} x+y = -1

x+3y =-3

Hence, Equation of a line is x+3y =-3.

To learn more about perpendicular bisector of the line segment from the given link:

brainly.com/question/4428422

#SPJ4

   

7 0
1 year ago
Suppose you deposited $10 into your savings account each month, as indicated in the table. Your account pays 4%, compounded mont
Orlov [11]
I think its D. $1,800 because 10.4 multiplied by twelve is 124.8 and if you multiply that by 15 you get $1.872. 
4 0
2 years ago
Need help with these 2 questions ASAP, no links and a answer with an explanation will get brainly
marin [14]

Answer:

Yes, Fiona is correct

Step-by-step explanation:

WHen the pythagorean theorem is applied to the side lengths (2^2 + 4^2 = c^2), the result for c^2 is 20. The correct answer would be sqrt.20. But Fiona is also correct becuase sqrt of 20 can be simplified to sqrt.4 * sqrt.5; which equals 2*sqrt.5

3 0
3 years ago
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Solve for x and then find the measure of
bonufazy [111]
The answer should be 150
7 0
3 years ago
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