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Alenkinab [10]
3 years ago
5

Factor the quadratic expression completely. 12x^2+17x+6=

Mathematics
1 answer:
motikmotik3 years ago
6 0

Answer:

(3 x + 2) (4 x + 3)

Step-by-step explanation:

Factor the following:

12 x^2 + 17 x + 6

Factor the quadratic 12 x^2 + 17 x + 6. The coefficient of x^2 is 12 and the constant term is 6. The product of 12 and 6 is 72. The factors of 72 which sum to 17 are 8 and 9. So 12 x^2 + 17 x + 6 = 12 x^2 + 9 x + 8 x + 6 = 3 (3 x + 2) + 4 x (3 x + 2):

3 (3 x + 2) + 4 x (3 x + 2)

Factor 3 x + 2 from 3 (3 x + 2) + 4 x (3 x + 2):

Answer:  (3 x + 2) (4 x + 3)

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Need help with both of these please!! ASAP
Alik [6]

x = 1

Answer:

m\angle XVW = 100\degree

Step-by-step explanation:

In the first figure, FP is the bisector of \angle DFE

\therefore m\angle 1 = m\angle 2\\\therefore 44x + 1 = 46x - 1\\\therefore 1 + 1 = 46x - 44x\\\therefore 2 = 2x\\\therefore \frac{2}{2} = x \\\huge \red {\boxed {\therefore x = 1}}

In the second figure, VP is the bisector of \angle XVW

\therefore m\angle 1 = m\angle 2\\\therefore 12x + 2 = 11x +6\\\therefore 12x - 11x = 6 - 2\\\therefore x  = 4\\\because m\angle XVW = m\angle1 + m\angle 2\\\therefore m\angle XVW = 12x + 2 + 11x +6\\\therefore m\angle XVW = 23x + 8\\\therefore m\angle XVW = 23\times 4+ 8\\\therefore m\angle XVW = 92+ 8\\\huge \purple {\boxed {\therefore m\angle XVW = 100\degree}} \\

8 0
3 years ago
How much is the sum of 0.45 and 0.312 different from 0.96
Annette [7]

Answer:

c

Step-by-step explanation:

7 0
3 years ago
Evelyn drove 248 miles in 8 hours if she continued at the same rate how far would she travel in 6 hours
MaRussiya [10]

Answer:

186 miles

Step-by-step explanation:

<u>hr     |    8    |    6</u>

<u>miles|   248 |   x</u>

248 divided by 8 is 31

6 times 31 is 186

x=186

6 0
3 years ago
What does 45/100 mean as percent?
marshall27 [118]
45% is what it means..
7 0
4 years ago
Read 2 more answers
Two planes, A and B, start from the same place and move in different directions, making an angle of 50º between them. The speed
cluponka [151]

Answer: The distance between them is 230.65 miles.

Step-by-step explanation:

Since we have given that

Speed of plane A (b) = 200 miles per hour

Speed of plane B (c) = 300 miles per hour

Angle between them = 50°

So,

We will use the "Cosine formula", we get

a^2=b^2+c^2-2bc\cos A\\\\a^2=200^2+300^2-2\times 200\times 300\cos 50\textdegree\\\\a^2=40000+90000-120000\cos 50\textdegree\\\\a^2=130000-120000\times 0.64\\\\a^2=130000-76800\\\\a^2=53200\\\\a=\sqrt{53200}\\\\a=230.65\ miles\ per\ hour

So, distance between the two planes after one hour will be

Distance=\frac{Speed}{time}=\frac{230.65}{1}=230.65\ miles

So, the distance between them is 230.65 miles.

6 0
4 years ago
Read 2 more answers
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