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Harlamova29_29 [7]
3 years ago
7

Factor completely 2x2 + 2x − 24. 2(x − 3)(x + 4) (2x − 6)(x + 4) (2x − 3)(x + 8) 2(x − 4)(x + 6)

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
7 0
2<span>x<span><span>​</span></span></span>² <span><span><span>​ ​</span></span></span>+ 2x − 2<span>4

</span><span>GCF = 2

2(2x</span>²/2 + 2x/2 - 24/2)
<span>
2(x - 3)(x + 4)</span>
Natali [406]3 years ago
4 0

Answer:

Step-by-step explanation:

Alright, lets get started.

The given polynomial is :

2x^2+2x-24

2 is common in each term of this polynomial, so

2(x^2+x-12)

2(x^2+4x-3x-12)

2[x(x+4)-3(x+4)]

Now (x+4) is common in both terms , so taking (x+4) common

2(x+4)(x-3)

or

2(x-3)(x+4)   :    Answer

Hope it will help :)

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All of the angles of a quadrilateral are congruent. Can the quadrilateral be a parallelogram? Explain.
professor190 [17]
It depends on the size of each angle. If a parallelogram has the same sizes of the quadrilateral then they could both be congruent. 

Hope this helps! :D
4 0
3 years ago
Function g can be thought of as a translation (shifted) version of f(x)=x^2
dimaraw [331]

Answer:

(x+5)²

Step-by-step explanation:

To solve this we just need to shift the graph 5 spots to the left

to do this we need to add 5 to the x

(x+5)²

5 0
3 years ago
What is the equation of the line that is parallel to y = 3x - 1 and goes through the point (0, 9)?
Mrac [35]

Answer:

Step-by-step explanation:

y - 9 = 3(x - 0)

y - 9 = 3x - 0

y = 3x + 9

8 0
3 years ago
Jana ran the first 3 and a half miles of a 5 mile race in 1 3rd of an hour. what was her average rate, in mph, for the first par
Lisa [10]

Answer:

always try to draw a diagram first

Step-by-step explanation:

Jana ran The first 3.5 miles in 1/3 of an hour. remember the problem tells us that we want our answer in miles per hour or mph. so we have to set up our problem so that our units match in the end. The diagram above shows 3.5 mi over 1/3 hour. so we must divide 3.5 miles by 1/3 hour

note:

3 \frac{1}{2} mi =  \frac{7mi}{2}

therefore

\frac{7mi}{2}  \:  \div  \:  \frac{1hr}{3}  =

\frac{7mi}{2}  \times  \frac{3}{1hr}  =  \frac{21mi}{2hr}  = 10 \frac{1}{2}  \frac{mi}{hr}

7 0
3 years ago
Find the distance between (3,4) and (4,-6) if necessary, round to the nearest tenth.
Ratling [72]

Answer:

The distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

Step-by-step explanation:

Given the points

  • (3,4)
  • (4,-6)

The distance 'd' between (3,4) and (4,-6)

\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):

d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

substituting the points values

   =\sqrt{\left(4-3\right)^2+\left(-6-4\right)^2}

   =\sqrt{1+10^2}

   =\sqrt{1+100}

   =\sqrt{101}

   =10.0  units (Rounded to the nearest the Tenths Place)

Thus, the distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

4 0
3 years ago
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